subject
stringclasses 1
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mathematics
|
A train runs across a post in 15 seconds and across a platform of length 100m in 25 seconds. Determine the length of this train:
|
[
"137",
"150",
"287",
"167",
"172"
] |
Explanation:
Let us assume for this question that the length of train is x metres and it is assumed to be running at the speed of y m/sec.
A pole is assumed as a point object.
=>Time taken by the train to pass the pole= x/y
=>15=x/y
=>y=x/15
Now, the train passes the platform which is 100 m in length in 25 seconds.
=>x+100/y=25
=>x+100/25=y
Equating speed generated from both cases:
x+100/25=x/15
Therefore x = 150 metres.
ANSWER: B
The answer is: B
|
B
|
mathematics
|
Find compound interest on $ 16000 at 15% per annum for 2 years 4 months, compounded annually.
|
[
"6109",
"6209",
"6218",
"6107",
"6100"
] |
Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = $ [16000 X (1+(15/100))2 X (1+((1/3)*15)/100)]
=$ [16000 * (23/20) * (23/20) * (21/20)]
= $ 22218 .
:. C.I. = Rs. (22218 - 16000) = $ 6218
Answer C.
The answer is: C
|
C
|
mathematics
|
The end of a blade on an airplane propeller is 20 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
|
[
"200π",
"240π",
"600π",
"480π",
"1,200π"
] |
Distance traveled in 1 revolution = 2πr= 2π20/5280
Revolutions in one second= 1320
Revolutions in 60 seconds (one minute)= 1320*60
Total distance traveled= total revolutions *distance traveled in one revolution
1320*60 *2π20/5280= 600π
C is the answer
The answer is: C
|
C
|
mathematics
|
If it is true that x > -3 and x < 7, which of the following must be true?
|
[
"x > 3",
"x < -7",
"x < 3",
"-3 < x < 7",
"none of the above."
] |
the range is -3 < x < 7
A. x > 3 - no because x can be between -3 < x < 3
B. x < -7 - no because the values of x are always >-7
C. x < 3 - no because x can be between 3 < x < 7
D. -3 < x < 7 - true because x can be between -3 < x < 7
E. none of the above.
Answer: D
The answer is: D
|
D
|
mathematics
|
The largest three digit number which is a perfect cube, is:
|
[
"125",
"999",
"343",
"512",
"729"
] |
Explanation:
9*9*9 = 729
Answer: E
The answer is: E
|
E
|
mathematics
|
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
|
[
"7 days",
"6 days",
"9 days",
"5 days",
"4 days"
] |
WC = 3:1
WT = 1:3
x 3x
1/x – 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 => 5 days
Answer:D
The answer is: D
|
D
|
mathematics
|
If watches bought at prices ranging from Rs 200 to Rs 350 are sold at prices ranging from Rs 300 to Rs 425. What is the greatest possible profit that might be made in selling eight watches?
|
[
"Rs 900",
"Rs 800",
"Rs 1,800",
"Rs 2,800",
"None of these"
] |
Profit would be maximum if watches are brought for Rs 200 and sold for Rs 425
Profit = Rs (425 - 200) = Rs 225
Profit of 8 watches = Rs 225 x 8 = Rs 1,800
ANSWER:B
The answer is: B
|
B
|
mathematics
|
How many digits are in the number 50^8 × 8^3 × 11^2?
|
[
"22",
"20",
"19",
"18",
"17"
] |
calculate the Number of 0's through the powers of 10
50^8 × 8^3 × 11^2 = (5^2*2)^8*2^9*11^2 = 5^16*2^17*11^2 = 2*11^2*10^16 = 242*10^16
Hence we would have 16 trailing 0's and the three digits from 242
Total digits = 3 + 16 = 19
Correct Option: C
The answer is: C
|
C
|
mathematics
|
If air is called green , green is called blue, blue is called purple, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
|
[
"Blue",
"Sky",
"Water",
"Yellow",
"Purple"
] |
Explanation:
The colour of clear sky is 'blue' and as given, 'purple' is called 'sky'.
So, the colour of clear sky is 'purple'.
Answer: E
The answer is: E
|
E
|
mathematics
|
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
|
[
"600",
"6500",
"6000",
"6500",
"7000"
] |
Let the total number of orginal inhabitants be x.
((75/100))*(90/100)*x)=4050 (27/40)*x=4050
x=((4050*40)/27)=6000.
ANSWER C 6000
The answer is: C
|
C
|
mathematics
|
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
|
[
"22 kmph",
"24 kmph",
"20 kmph",
"27 kmph",
"83 kmph"
] |
M = 15
S = 5
DS = 15 + 5 = 20
Answer: C
The answer is: C
|
C
|
mathematics
|
Mercury travels around the sun at a speed of approximately 30 miles per second. The approximate speed is how many miles per hour?
|
[
"108,000",
"96,000",
"84,000",
"72,000",
"60,000"
] |
30 * 3600 = 108,000
The answer is A.
The answer is: A
|
A
|
mathematics
|
The product X of two prime numbers is between 15 and 90. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
|
[
"18",
"29",
"37",
"44",
"85"
] |
Option BC can be ruled out as they themselves are prime numbers
18 = 2*9 = 3*6 >> Ignore
44 = 2 * 22 = 4 * 11 >> Ignore
85 = 5*17 >> Answer
Answer = E
The answer is: E
|
E
|
mathematics
|
In a group of 70 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
|
[
"1140",
"1160",
"1180",
"1200",
"1040"
] |
Number of sweets each child got = 15% of 80 = 15/100 * 80 = 12.
Number of sweets 80 children got = 70 * 12 = 840.
Number of sweets each youngster got = 25% of 80 = 25/100 * 80 = 20.
Number of sweets 10 youngsters got = 10 * 20 = 200.
Total number of sweets = 840 + 200 = 1040.
E)
The answer is: E
|
E
|
mathematics
|
A circular logo is enlarged to fit the lid of a jar. The new diameter is 10 per cent larger than the original. By what percentage has the area of the logo increased?
|
[
"50",
"80",
"100",
"125",
"21"
] |
Let old diameter be 4 , so radius is 2
Old area = 4π
New diameter is 4.4 , so radius is 2.2
New area = 4.84π
Increase in area is 0.84π
% increase in area = 0.84/4*100
So, % increase is 21%
Answer will be (E)
The answer is: E
|
E
|
mathematics
|
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
|
[
"288",
"190",
"188",
"188",
"12"
] |
L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
The answer is: B
|
B
|
mathematics
|
If 0 < a < b and k = (5a + 5b)/b , which of the following must be true?
|
[
"k < 2",
"k < 7",
"k < 9",
"k > 9",
"k > 11"
] |
Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do mention the source of the question if you select the tag:Source-Other Please Specify.
As for your question, it is very simple and straightforward with number plug in.
Assume a=1 and b=2 as a < b, you get k = (5+10)/2 = 7.5. This eliminates all but option C , making it the correct answer.
The answer is: C
|
C
|
mathematics
|
A rectangle having length 105 cm and width 40 cm. If the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.
|
[
"25%",
"19.23%",
"40%",
"75%",
"None of these"
] |
Explanation :
Solution: (25/(105+25) * 100)% = 19.23%
Answer : B
The answer is: B
|
B
|
mathematics
|
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is :
|
[
"12 kg",
"60 kg",
"72 kg",
"96 kg",
"None of these"
] |
Solution
Volume of water displaced = (3 × 2 × 0.01) m3 = 0.06 m3.
∴ Mass of man = Volume of water displaced × Density of water
= (0.06 × 100)kg = 60 kg.
Answer B
The answer is: B
|
B
|
mathematics
|
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE.
|
[
"12",
"13",
"14",
"11",
"15"
] |
ABC and ADE are similar triangles.
So (side of ABC/side of ADE)^2=25/169
side of ABC/side of ADE = 5/13
So the length of DE = 5
Answer - C
The answer is: C
|
C
|
mathematics
|
A bag contains nine white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
|
[
"5/8",
"6/13",
"5/16",
"5/13",
"5/11"
] |
Two balls can be picked from thirteen balls in 13Câ‚‚ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done âµ ways.
The required probability = (9 * 4) = 36/78 = 6/13
Answer: B
The answer is: B
|
B
|
mathematics
|
A man can row with a speed of 24 kmph in still water. If the stream flows at 6 kmph, then the speed in downstream is?
|
[
"27",
"23",
"30",
"28",
"12"
] |
M = 24
S = 6
DS = 24 + 6 = 30
Answer: C
The answer is: C
|
C
|
mathematics
|
Gordon is twice as old as Tony was when Gordon was as old as Tony is now. The combined age of Gordon and Tony is 112 years. How old are Gordon and Tony now?
|
[
"Gordon 64 and Tony 48",
"Gordon 74 and Tony 38",
"Gordon 84 and Tony 48",
"Gordon 64 and Tony 58",
"None of the above"
] |
When Gordon was 48, Tony was 32(ie half the age Gordon is now).
Answer : A
The answer is: A
|
A
|
mathematics
|
The line Z represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
|
[
"y = 2x^2+5x+1",
"y = x^2+5x+2",
"y = 3x^2+5x+2",
"y = 3x^2+7x+2",
"y = x^2+7x+1"
] |
concept of slope for linesparabolas are different. Bunuel, please correct if I am wrong. Also please help to solve this problem if its a GMAT type question.
The general form of parabolic equ. is y^2= 4ax which implies the axis is x or x^2 = 4ay where axis is y.
We have a similar form as x^2 = 4ay.
here the vertex is origin.
So if we have same values of x and y but constant term changes then we will have parallel parabolas.
This is same as for straight line Z which are parallel for different values of constant term c
ax + by +c1 = 0 and ax +by+ c2 =0
We have quadratic equations. These equations when drawn give parabolas, not lines. The question is: which of the following parabolas does not intersect with the parabola represented by y=3x^2+5x+1.C
The answer is: C
|
C
|
mathematics
|
Of the 5 numbers, whose average is 200, the first is one-fourth of the sum of the last 4. The first number is?
|
[
"200",
"80",
"78.63",
"56.98",
"67.85"
] |
Total of 5 numbers = 5 * 200 = 1000
Let total of last 4 numbers = x
1st number = x/4
x+ x/4 = 1000
5x = 4000 => x = 800
1st number = 800/ 4 = 200
Answer : A
The answer is: A
|
A
|
mathematics
|
In what time will a train 100 meters long cross an electric pole, if its speed is 72 km/hr
|
[
"5 seconds",
"2.8 seconds",
"3.5 seconds",
"2.5 seconds",
"2.6 seconds"
] |
First convert speed into m/sec
Speed = 72*(5/18) = 20 m/sec
Time = Distance/speed
= 100/20 = 5 seconds
Answer: A
The answer is: A
|
A
|
mathematics
|
Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
|
[
"1234",
"1596",
"1350",
"1467",
"1635"
] |
Let the smaller number be x. Then larger number = (x + 1345).
x + 1345 = 6x + 15
5x = 1330
x = 266
Large number = 266+1330 = 1596
B
The answer is: B
|
B
|
mathematics
|
In how many ways Chief Minister and Minister be elected from a team of 12 members?
|
[
"125",
"131",
"132",
"145",
"147"
] |
To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 12*11 = 132 ways.
C
The answer is: C
|
C
|
mathematics
|
A palindrome is a number that reads the same forward and backward, such as 120. How many odd, 4-digit numbers are palindromes?
|
[
"40",
"55",
"50",
"90",
"2500"
] |
A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc
You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.
Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.
In how many ways can you pick two digits such that the first one is an odd digit?
The first digit can be selected in 5 ways.(1/3/5/7/9)
The second digit can be selected in 10 ways.(0/1/2/3...8/9)
Total = 5*11 = 55 ways
B
The answer is: B
|
B
|
mathematics
|
A watch passes through three hands and each person gains 25%. If the third person sells it for $62.50, what did the first person pay for it?
|
[
"$24",
"$28",
"$32",
"$36",
"$40"
] |
1.25*1.25*1.25 * original price = 62.5
(5/4)^3 * original price = 62.5
original price = 64*62.5 / 125 = $32
The answer is C.
The answer is: C
|
C
|
mathematics
|
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40 meters. How many times did the ball bounce?
|
[
"2",
"6",
"7",
"8",
"9"
] |
Division of total distance travelled will be 16+16+8
Ans:2
The answer is: A
|
A
|
mathematics
|
If f and t are integers and f^2 – t^2 is an odd integer, which of the following must be an even integer?
I. f + t + 2
II. f^2 + 2ft + t^2
III. f^2 + t^2
|
[
"None",
"I only",
"II only",
"III only",
"I, II, and III"
] |
f^2–t^2 is an odd integer means that either f is even and t is odd or f is odd and t is even.
Check all options:
I. f + t + 2 --> even+odd+even=odd or odd+even+even=odd. Discard;
II. f^2 + 2ft + t^2 --> even+even+odd=odd or odd+even+even=odd. Discard;
III. f^2 + t^2 --> even+odd=odd or odd+even=odd. Discard.
Answer: A.
The answer is: A
|
A
|
mathematics
|
Positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. What is the value of y?
|
[
"50",
"125",
"200",
"1,000",
"2,000"
] |
y = 50% of 25 % 0f x
= x/8
and
y/100 of x = 100
y /100 *8y =100
y = 125
Answer - B
The answer is: B
|
B
|
mathematics
|
If n is a natural number, then (6n2 + 6n) is always divisible by?
|
[
"6 and 12 both",
"6 only",
"12 only",
"6 or 12",
"None"
] |
(6n2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
A)
The answer is: A
|
A
|
mathematics
|
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?
|
[
"96",
"42",
"48",
"64",
"76"
] |
B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*138 = 96.
Answer: A.
The answer is: A
|
A
|
mathematics
|
The Racing magic takes 40 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
|
[
"3",
"6",
"9",
"12",
"15"
] |
Time taken by Racing magic to make one circle = 40 seconds
Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds
LCM of 90 and 40 seconds = 360 seconds = 6 mins
Time taken for them to meet at the starting point for the second time = 6 mins *2 = 12 mins
Answer D
The answer is: D
|
D
|
mathematics
|
90 percent of your marbles are a solid color. 5 percent of your marbles are solid yellow. What percentage of your marbles are a solid color other than yellow?
|
[
"5",
"15",
"85",
"90",
"95"
] |
90 percent are solid colors including solid yellow. 5 percent are solid yellow. 90% - 5% = 85%, so 85 percent are a solid color other than yellow => (C)
The answer is: C
|
C
|
mathematics
|
City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
|
[
"130years",
"140years",
"150years",
"160years",
"170years"
] |
city A population = 68000
city B population = 42000
68000 decreasing at a rate 0f 80p = 42000 increasing at a rate of 120p
68000-80p=42000+120p
200p=26000
p=130years
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If a cube of dimension 4 by 4 by 4 is cut into 1 by 1 by 1 after painting it by red color then which of the following is/are true.
I) Ratio of number of painted surfaces of resultant cubes to total number of surfaces is 1/4
II) Number of cubes having no faces pointed is equal to number of cubes having three faces painted.
III) Number of cubes having 2 faces painted is same as number of cubes having one face painted
|
[
"None",
"II and III",
"II only",
"I, II & III",
"I & III only"
] |
Long explanation, probably too detailed
Hypercube facts (n=3 for a cube):
2^n vertices 2n−1n edges 2+E−V faces
For a cube: 8 vertices, 12 edges and 6 faces
Let G=4be the size of the original cube.
I) Ratio of number of painted surfaces of resultant cubes to total number of surfaces is 1/4
There is 1 large cube with 6 sides of G2 painted faces.
There is G3x1 cubes with 6 sides of surface area 1.
1×6×G^2/G3×6×1=G^2/G^3=G−1=1/4
True
II) Number of cubes having no faces pointed is equal to number of cubes having three faces painted.
There are always 8 vertices on a cube, each vertex is the only 1x1 block which has 3 coloured faces.
Inside the cube, there is a secondary unpainted cube. Each side of this unpainted cube is equal to the size of the original cube minus two (on each axis, there will be two 1x1 cubes on the exterior of the larger cube). The size of this cube is (G−2)3
There are (G−2)3( cubes with 0 sides painted. =23=8
There are V=23 cubes with 3 sides painted =8
True
III) Number of cubes having 2 faces painted is same as number of cubes having one face painted
There are 12 edges on a cube. Each edge consists of G cubes, two of which are the vertices of the cube (and have 3 colours), the rest have two colours.
On each exterior face, there is a square of (G−2) cubes, surrounded by 4 vertex cubes and (G−2)×4 edge cubes.
Each square consists of (G−2)^2 coloured faces. There is 1 square per face.
There are (G−2)×E cubes with 2 sides painted. =2×12=24
There are (G−2)2×F cubes with 1 side painted. =22×6=24
True
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A certain truck uses 18 gallons of diesel fuel in traveling 260 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
|
[
"8",
"9",
"12",
"11",
"27"
] |
There are two sets 18G1 gallons and 10G2 gallons details given.
18 gallons covering 260 miles
Then 1 G1 is used to cover 15 miles.
Now for 10 G2 covering 260 miles.
then 1 G2 is used to cover 26 miles.
There must 26- 15 = 11 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 270 miles.
IMO D is correct answer.
The answer is: D
|
D
|
mathematics
|
An employer has 5 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
|
[
"a) 1,490",
"b) 132",
"c) 60",
"d) 68",
"e) 23"
] |
5C3 * 4C2 = 60. Answer C.
The answer is: C
|
C
|
mathematics
|
Find the area of a parallelogram with base 24 cm and height 12 cm?
|
[
"297 cm2",
"384 cm2",
"672 cm2",
"267 cm2",
"288 cm2"
] |
Area of a parallelogram
= base * height
= 24 * 12
= 288 cm2
Answer: E
The answer is: E
|
E
|
mathematics
|
Edward invested five-ninths of his money at an annual rate of 2r% compounded semi-annually, and the remaining money at an annual rate of r% compounded annually. If after one year, Edward’s money had grown by one-thirds, the value of r is equal to which of the following?
|
[
"10%",
"15%",
"20%",
"25%",
"33%"
] |
X=Amount invested
5/9*X*(1+2r/2)^2+4/9*X*(1+r)=4/3X
Set X = 9 because we can pick any value
5*(1+r)^2+4(1+r)=12
5r^2+14r-3=0
Here you can use the formula for roots of a quadratic, but it is faster to guess and check using the answers
5*(1/5)^2+14(1/5)-3=5*(1/25)+14/5-3=1/5+14/5-3=0
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Which of the following values is the greatest
|
[
"a) 11% of 89",
"b) 22% of 78",
"c) 33% of 67",
"d) 65% of 45",
"e) 44% of 56"
] |
Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says D.
The answer is: D
|
D
|
mathematics
|
A cicketer Has a certain average for 10 innings, In the eleventh inning, he scorod 88 runs, thereby increasing his average by 6 runs. His new average is
|
[
"18 runs",
"28 runs",
"48 runs",
"42 runs",
"46 runs"
] |
Explanation:
Let average for 10 innings be x. Then,
(10x + 88)/11 = x + 6 => 11x + 66 = 10x + 88 => x = 22.
New average = (x + 6) = 28 runs.
Answer: B
The answer is: B
|
B
|
mathematics
|
A man can row upstream at 25 kmph and downstream at 37 kmph, and then find the speed of the man in still water?
|
[
"86",
"67",
"31",
"15",
"17"
] |
US = 25
DS = 37
M = (37 + 25)/2
= 31
Answer: C
The answer is: C
|
C
|
mathematics
|
Find the simple interest on $1200 for 5 years at 20% per annum?
|
[
"$1200",
"$1000",
"$500",
"$1100",
"$1500"
] |
SI = PTR/100
= 1200*5*20/100 = $1200
Answer is A
The answer is: A
|
A
|
mathematics
|
Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onward, would the tank be full?
|
[
"2",
"3",
"1/2",
"1/4",
"5"
] |
Explanation :
Rate of filling tap A = 1/4 per hr
Rate of emptying of tap B = 1/8 per hr
When both the taps remain open, the effective rate of filling
= 1/4 - 1/8 = 1/8 of the tank
Hence in 4 hr, the tank must have been full to the
Extent of 4 x 1/8 = 1/2 Capacity
Remaining volume = 1/2 capacity
Now emptying tap is closed rate of filling would be 1/4 per hr
Time reqd. to fill = Empty volume/Filling rate
= (1/2)/(1/4) = 2 hrs
Answer : A
The answer is: A
|
A
|
mathematics
|
A jogger running at 9 km/hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
|
[
"67 sec",
"89 sec",
"36 sec",
"87 sec",
"40 sec"
] |
Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 280 + 120 = 400 m.
Time taken = 400/10
=40 sec.
Answer: E
The answer is: E
|
E
|
mathematics
|
Rohit paid $4,000 for 100 shares of stock X and $2,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/5 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
|
[
"A Gain of 1.4 times as much",
"A Gain of 3 times as much",
"A Gain of 2 times as much",
"A Gain of 1.5 times as much",
"A Loss of 2 times as much"
] |
A = 4000; B = 2000; Profit = (3/5)*2000 = 1200
After prices are reversed:
A = 2000; B =4000; Profit = (3/5)*4000 = 2400
2400 --> Gain of 2 times 1200
Answer: C
The answer is: C
|
C
|
mathematics
|
If y > 0, (2y)/20 + (3y)/10 is what percent of y?
|
[
"40%",
"50%",
"60%",
"70%",
"80%"
] |
soln:-
can be reduced to y/10+3y/10 =2y/5=40%
ANSWER:A
The answer is: A
|
A
|
mathematics
|
An inspector rejects 0.04% of the meters as defective. How many will he examine to reject 2?
|
[
"A)1500",
"B)2000",
"C)2500",
"D)5000",
"E)3100"
] |
Let the number of meters to be examined be x
Then, 0.04% of x = 2
(4/100)*((1/100)*x = 2
x = 5000
Answer is D
The answer is: D
|
D
|
mathematics
|
An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 450 km from the starting point ?
|
[
"8 hrs 29 min",
"4 hrs 50 min",
"2 hrs 28 min",
"6 hrs 28 min",
"1 hrs 28 min"
] |
Explanation:
Time taken to cover 450 km = 450/100 = 4 hrs 30 mins
Number of stoppages = 450/75 - 1 = 5
Total time of stoppages = 4 x 5 = 20 min
Hence, total time taken = 4 hrs 50 min.
Answer: B
The answer is: B
|
B
|
mathematics
|
What is the sum of first 10000 numbers in the series -1,+1,-1,+1,-1.......??
|
[
"0",
"1",
"2",
"3",
"4"
] |
-1+1=0
and for 10000 numbers it will form 5000 pairs
so 5000*0 = 0
ANSWER:A
The answer is: A
|
A
|
mathematics
|
The product X of two prime numbers is between 17 and 60. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
|
[
"18",
"29",
"37",
"44",
"57"
] |
Option BC can be ruled out as they themselves are prime numbers
18 = 2*9 = 3*6 >> Ignore
44 = 2 * 22 = 4 * 11 >> Ignore
57 = 3*19 >> Answer
Answer = E
The answer is: E
|
E
|
mathematics
|
Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
|
[
"6",
"8",
"10",
"14",
"16"
] |
In order the length to be minimum Pat should only go UP and RIGHT: namely thrice UP and twice RIGHT.
So combination of UUURR: # of permutations of 5 letters out of which there are 3 identical U's and 2 identical R's is 5!/3!2!=10.
Answer: C.
The answer is: C
|
C
|
mathematics
|
What is the area of a square field whose diagonal of length 22 m?
|
[
"287",
"269",
"270",
"242",
"230"
] |
d2/2 = (22 * 22)/2
= 242
Answer:D
The answer is: D
|
D
|
mathematics
|
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
|
[
"Rs. 7.98",
"Rs. 8",
"Rs. 8.50",
"Rs. 9",
"Rs. 9.50"
] |
petrol used in 1st yr = 4000/7.5 = 533.33 ltr
petrol used in 2nd yr = 4000/8 = 500 ltr
petrol used in 3 rd year = 4000/8.5= 470.59 ltr
Total petrol used for Rs.12000(4000/- for each yaer) in 3rd yrs = 1503.92 ltr
Average cost per litre = 12000/1503.92 = Rs 7.98
ANSWER:A
The answer is: A
|
A
|
mathematics
|
From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?
|
[
"12",
"14",
"15",
"13",
"16"
] |
Let the No. of mangoes that the man had originally = X
No. of mangoes sold balance
1st customer = (X/2) + 1 (X - 2)/2
2nd customer = (X - 2)/6 + 1 (X - 5)/3
3rd customer = (X - 5)/12 + 1 (X - 9)/4
4th customer = (X - 9)/20 + 1 0
(X - 9)/20 + 1= (X - 9)/4 => X = 14
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
|
[
"688",
"798",
"698",
"699",
"998"
] |
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer:C
The answer is: C
|
C
|
mathematics
|
The total number of even prime number is
|
[
"0",
"1",
"2",
"3",
"None of these"
] |
Solution
There is only one prime number, namely 2.
Answer C
The answer is: C
|
C
|
mathematics
|
Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder
|
[
"1209",
"1615",
"1245",
"1300",
"1635"
] |
Let the smaller number be x. Then larger number = (x + 1515).
x + 1515 = 16x + 15
15x = 1500
x = 100
Large number = 100+1515 = 1615
Answer : B
The answer is: B
|
B
|
mathematics
|
ohn invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Y that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
|
[
"3/5",
"2/3",
"7/10",
"3/4",
"4/5"
] |
X(1+10/100) + Y(1-15/100) = X+Y
this gives 2X = 3Y
or X/Y = 3/2
So, fraction invested in X = 3/5
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
|
[
"40",
"42",
"44",
"46",
"48"
] |
Let x be the original number of apples.
On day one, the vendor throws away (0.2)(0.7)x=0.14x.
The remaining apples are (0.8)(0.7)x = 0.56x.
On day two, the vendor throws away (0.5)(0.56)x=0.28x.
The vendor throws away a total of 0.14x + 0.28x = 0.42x.
The vendor throws away 42 percent of the apples.
The answer is B.
The answer is: B
|
B
|
mathematics
|
If 7/10 of a pencil is green, 4/5 of the remaining is gold and the remaining 1/2 is white, what is the total length of the pencil?
|
[
"5",
"3",
"1",
"4",
"2"
] |
Green is 7/10 Gold is 4/5 which can also be written as 8/10
White is 1/2 which can also be written as 5/10
7/10 + 8/10 + 5/10= 2
Answer is E) 2
The answer is: E
|
E
|
mathematics
|
An eight-digit telephone number consists of exactly two zeroes. One of the digits is repeated thrice. Remaining three digits are all distinct. If the first three digits (from left to right) are 987, then find the probability of having only one 9, one 8 and one 7 in the telephone number.
|
[
"1/18",
"1/20",
"1/10",
"5/47",
"5/45"
] |
Explanation :
Case A: There is only one 9, one 8 and one 7 in the number.
Hence there has to be one digit from {1,2,3,4,5,6} repeated thrice.
Total number of ways in which such a number can exist is :
=>6C1×5!/(3!×2!).
=60.
Case B: One of the three digit {9,8,7} is repeated thrice.
Hence, there will be one digit from {1,2,3,4,5,6}.
Total number of ways in which such a number can exist:
=>3C1×6C1×5!/(3!×2!).
=>540
Total possible telephone numbers:
=60+540=600.
Hence the required Probability is 60/600 = 1/10.
Answer : C
The answer is: C
|
C
|
mathematics
|
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction X of the selected films are in color?
|
[
"1/130",
"1/5",
"3/13",
"10/13",
"30/31"
] |
It's y/xpercentnot y/x.
If x=20 and y=10. Then:
20x=400 black-and-white films;
6y=60 color films.
y/x%=10/20%=0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.
Color films thus compose X= 60/62=30/31 of the selected films.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
|
[
"33.9",
"33.6",
"33.3",
"33.1",
"33.2"
] |
Let B = 100
A = 50
C * (150/100) = 50
3C = 100
C = 33.3 then 'C' Cheapest
Answer: C
The answer is: C
|
C
|
mathematics
|
A certain city with a population of 120,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
|
[
"a) 10,700",
"b) 10,000",
"c) 10,900",
"d) 11,000",
"e) 11,100"
] |
Let x = number of people in smallest district
x*1.1 = number of people in largest district
x will be minimised when the number of people in largest district is maximised
10*x*1.1 = 11x = total number of people in other districts
So we have 11x + x = 120k
x = 10,000
Answer : B
The answer is: B
|
B
|
mathematics
|
The ratio between the speeds of two trains is 8 : 9. If the second train runs 405 kms in 5 hours, then the speed of the first train is
|
[
"87.5 km/h",
"72 km/h",
"70 km/h",
"80 km/h",
"81 km/h"
] |
B
72 km/h
The answer is: B
|
B
|
mathematics
|
A customer went to a shop and paid a total of $30, out of which $1.28 was for sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?
|
[
"$9.84",
"$10.68",
"$11.26",
"$12.72",
"$13.54"
] |
The total cost was $30.
The tax was $1.28
Let the original price of the taxable items = x
Given that tax rate = 8%
0.08x = 1.28
x = $16
The cost of the tax free items was $30 - $16 - $1.28 = $12.72
The answer is D.
The answer is: D
|
D
|
mathematics
|
Arabica coffee costs $0.3 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.22per ounce, what is the share of Arabica in this blend?
|
[
"20%",
"24%",
"30%",
"33%",
"40%"
] |
a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.3a + .2(1-a) = .22
.3a + .2 - .2a = .22
a= .2
therefore: .2/1 ounce = 20%. Therefore, the answer should be A
The answer is: A
|
A
|
mathematics
|
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
|
[
"4000",
"345",
"5673",
"7248",
"8566"
] |
Area of the four walls = 2h(l + b)
Since there are doors and WINDOWS, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 8 = Rs. 7248
Answer: Option D
The answer is: D
|
D
|
mathematics
|
Find the unknown term X,8,6,2,-4, -12
|
[
"2",
"4",
"6",
"8",
"9"
] |
X,8,6,2,-4, -12
i guess each differ in d range of 2
8 - 8 = 0
8 - 6 = 2
6 - 2 = 4
2 - 6 = -4
-4 - 8 = -12
ANSWER:D
The answer is: D
|
D
|
mathematics
|
If P is a prime number greater than 3, find the remainder when P^2 + 13 is divided by 12.
|
[
"6",
"1",
"0",
"2",
"7"
] |
Every prime number greater than 3 can be written 6N+1 or 6N-1.
If P = 6N+1, then P^2 + 13 = 36N^2 + 12N + 1 + 13 = 36N^2 + 12N + 12 + 2
If P = 6N-1, then P^2 + 13 = 36N^2 - 12N + 1 + 13 = 36N^2 - 12N + 12 + 2
When divided by 12, it must leave a remainder of 2.
The answer is D.
The answer is: D
|
D
|
mathematics
|
If the perimeter of ΔACD is 9+3√3, what is the perimeter of equilateral triangle ΔABC?
|
[
"9",
"18−3√3",
"18",
"18+3√3",
"27"
] |
The altitude of an equilateral triangle is side*√3/2.
As perimeter of triangle ACD is 9+3√3, AC + CD + AD =
(side+side/2+side*√3/2) = 9 + 3√3 or side =6.
Perimeter of equilateral triangle, ABC is 3(side) or 18.
Answer:(OptionC)
The answer is: C
|
C
|
mathematics
|
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 20% so that the customer could not buy the required amount of the product. The customer managed to buy only 80% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
|
[
"10%",
"8%",
"6%",
"4%",
"2%"
] |
Let x be the amount of money paid for the first purchase.
The second time, the customer paid 0.8(1.2x)=0.96x.
The difference is 4%.
The answer is D.
The answer is: D
|
D
|
mathematics
|
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
|
[
"6",
"7",
"5",
"9",
"3"
] |
3/12 + (3 + x)/16 = 1
x = 9 days
Answer: D
The answer is: D
|
D
|
mathematics
|
How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
|
[
"7",
"4",
"5",
"3",
"2"
] |
Time = (100 * 81) / (450 * 4.5) = 4 years'
Answer:B
The answer is: B
|
B
|
mathematics
|
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
|
[
"4991",
"5991",
"5491",
"6991",
"6491"
] |
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991
Answer: Option A
The answer is: A
|
A
|
mathematics
|
Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 20,the first number is :
|
[
"22",
"23",
"77",
"99",
"27"
] |
Explanation:
Let the numbers be a,b,c,d
Given, a + b + c = 48, b + c + d = 45
Now, d = 20
thus, b + c + 20 = 45 ⇒ b + c = 25
Putting the value of b + c in a + b + c = 48
a + 25 = 48 ⇒ a = 23
Answer: B
The answer is: B
|
B
|
mathematics
|
How many positive 5-digit integers have the odd sum R of their digits?
|
[
"9*10^2",
"9*10^3",
"10^4",
"45*10^3",
"9*10^4"
] |
We are looking at numbers between 10000 and 99999 both inclusive.
There are 90000 numbers.
Now for
10000 : sum of digits is odd;
10001 :sum of digits is even;
10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.
(Exception for the above statement :
When it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd
and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)
This means exactly half of the numbers will have odd sum of their digits. i.e 45000
Answer :D
The answer is: D
|
D
|
mathematics
|
Monika purchased a pressure cooker at 9/10th of its selling price and sold it at 8% more than its Selling Price. Find her gain percent.
|
[
"10",
"20",
"25",
"15",
"18"
] |
Let the Selling Price be $X. then Cost Price = $9x/10, Receipt=108% of $x= $27x/25 Gain=$(27x/25*9x/10)=$(108x-90x/100)=$18x/100
Gain%=(18x/100*10/9x*100)%=20%
Answer B) 20.
The answer is: B
|
B
|
mathematics
|
Express a speed of 70 kmph in meters per second?
|
[
"10 mps",
"19.44 mps",
"97.44 mps",
"17.44 mps",
"18.44 mps"
] |
70* 5/18
= 19.44 mps
Answer: B
The answer is: B
|
B
|
mathematics
|
Lloyd normally works 7.5 hours per day and earns $5.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
|
[
"$33.75",
"$47.25",
"$51.75",
"$54.00",
"$66.00"
] |
Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*5.5+ 3*5.5*1.5=66.00
Answer E
The answer is: E
|
E
|
mathematics
|
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1305 as rent for parking his cars, what is the total rent paid by all the four agencies?
|
[
"Rs. 4500",
"Rs. 4800",
"Rs. 5250",
"Rs. 7134",
"None of these"
] |
The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1305
45k = 1305 => k = 29
246k = 246(29) = Rs. 7134
Thus the total rent paid by all the four agencies is Rs. 7134.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
If after 700 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
|
[
"180 grams",
"220 grams",
"250 grams",
"350 grams",
"1400 grams"
] |
I too think 1400 grams should be the answer.
My reasoning is
The h20 content in 700 gms of water is 1
h20 content in 24% solution is 0.76
Resulting new solution's concentration decreases by one third means. Now it becomes 16% solution which means h20 content is 0.84
Let amount of solution be X
Then the equation can be set up
700*1 + 0.76X = 0.84 (X+700)
0.08X = 112
8X = 11200
X = 1400 (ANS E)
The answer is: E
|
E
|
mathematics
|
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 50%?
|
[
"750",
"882",
"772",
"652",
"271"
] |
Cost price = Rs.500
profit = 50% of 500 = Rs.250
Selling price = Cost price + Profit
= 500 + 250 = 750
Answer:A
The answer is: A
|
A
|
mathematics
|
Of the d students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
|
[
"d + w- x- y",
"d - w- x- y",
"d- w - x + y",
"w + x + y- z",
"w - x - y - z"
] |
{Total} = {French} + {German} - {Both} + {Neither}
d = x + y - w + {Neither}
{Neither} = d + w - x - y.
Answer: A.
The answer is: A
|
A
|
mathematics
|
96% of the population of a village is 23040. The total population of the village is?
|
[
"16800",
"1689",
"6795",
"24000",
"12654"
] |
Explanation:
X * (96/100) = 23040
X = 240 * 100
X = 24000
Answer: D
The answer is: D
|
D
|
mathematics
|
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is
|
[
"27",
"66",
"39",
"28",
"21"
] |
Let B's present age = x years. Then, A's present age = (x + 9) years.
(x + 9) + 10 = 2(x - 10)
=> x + 19 = 2x - 20
=> x =39.
Answer: C
The answer is: C
|
C
|
mathematics
|
The average monthly salary of 10 employees in an organisation is Rs. 1600. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
|
[
"Rs.3601",
"Rs.3618",
"Rs.2700",
"Rs.3619",
"Rs.3610"
] |
Manager's monthly salary
= Rs. (1700 * 11 - 1600 * 10)
= Rs. 2700 Answer:C
The answer is: C
|
C
|
mathematics
|
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability that all three secretary are assigned at least one report?
|
[
"8/9",
"64/81",
"12/27",
"16/81",
"5/9"
] |
"We havé total possibilities N =3^4"
What are these total possibilities? They are the ways in which the 4 reports can be distributed among 3 secretaries so that all reports may go to one secretary, the reports may be distributed among 2 secretaries or they may be distributed among all 3. So such cases are included (4, 0, 0), (0, 4, 0), (2, 2, 0), (1, 3, 0), (1, 1, 2), etc
In how many ways can you give 4 reports to only 1 secretary? You choose the secretary who will get the reports in 3C1 = 3 ways
In how many ways can you give 4 reports to only 2 secretaries? Choose the 2 secretaries in 3C2 ways. Each secretary must get at least one report so you can distribute them in 2 ways:
'1 and 3' - Choose one report in 4C1 ways and give it to one secretary in 2C1 ways. The other secretary gets the other 3 reports.
or
'2 and 2' - Choose 2 reports in 4C2 ways and give to the first secretary. The other secretary gets the other two reports.
Total number of ways is 3C2 * (4C1*2C1 + 4C2) = 42 ways
Note that in your method 2^4 is incorrect. It includes the ways in which all 4 reports go to one secretary.
So this means that in 3 + 42 = 45 ways, at least one secretary gets no report. In the rest of 81 - 45 = 36 ways, each secretary gets at least one report.
Required Probability = 36/81 = 12/27
ANS:C
The answer is: C
|
C
|
mathematics
|
In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $50 each and the remaining 800 were sold in 1996 for $60 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
|
[
"$0",
"$4,000",
"$8,000",
"$32,000",
"$40,000"
] |
The keyword here isGross Profit:
Gross Profit = (Selling Price - Original Price)*(# of Items Sold)
So lets figure out what the Gross Profit for 1995:
GP1995 = (50-30)*(1000) = 20000
And the Gross Profit for 1996:
GP1996 = (60-30)*(800) = 24000
So the difference would be:
24000-20000 = 4000
ANSWER: B. 4000
The answer is: B
|
B
|
mathematics
|
62467 × 9998 = ?
|
[
"624545037",
"627745452",
"624545077",
"624545066",
"625454211"
] |
D
624545066
62467 × 9998 = 62467 × (10000 - 2)
= 62467 × 10000 - 62467 × 2
= 624670000 - 124934
= 624545066
The answer is: D
|
D
|
mathematics
|
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
|
[
"120",
"388",
"278",
"298",
"271"
] |
4*5*6 = 120
Answer: A
The answer is: A
|
A
|
mathematics
|
The price of a Maruti car rises by 30% while the sales of the car come down by 20%. What is the percentage change in the total revenue?
|
[
"-4%",
"-2%",
"+4%",
"+2%",
"None of these"
] |
Explanation :
Let initial price of Maruti car be Rs. 100.
As price increases 30%, the price of car become 100 + 30% of 100 = Rs. 130.
Due to increase in price, sales is down by 20 %.
It means, it is going to make 20% less revenue as expected after increment of price.
So, new revenue = 130 - 20 % of 130 = Rs 104.
The initial revenue was Rs 100 which becomess Rs 104 at the end.
It means there is 4% increment in the total revenue.
Answer : C
The answer is: C
|
C
|
mathematics
|
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals?
|
[
"10:1",
"9:1",
"72:1",
"8:1",
"None of these"
] |
Explanation :
Initially we look at the general case of the seats not numbered.The total number of cases of arranging 8 men and 2 women, so that women are together:⇒ 8×!2!The number of cases where in the women are not together:⇒9!−(8!×2!)=QNow, when the seats are numbered, it can be considered to a linear arrangement and the number of ways of arranging the group such that no two women are together is:⇒ 10!−(9!×2!)But the arrangements where in the women occupy the first and the tenth chairs are not favourable as when the chairs which are assumed to be arranged in a row are arranged in a circle, the two women would be sitting next to each other.The number of ways the women can occupy the first and the tenth position:=8!×2!The value of P =10!−(9!×2!)−(8!×2!)Thus P : Q = 10 : 1
Answer : A
The answer is: A
|
A
|
mathematics
|
The average age of father and his two sons is 18 Years. Five years ago, the average age of the two sons was 11 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
|
[
"22",
"24",
"25",
"28",
"49"
] |
The total present age of father and two sons is 3x18 = 54 yrs
The total present age of sons is (11+5) X 2 = 32Years
so, present age of father is 54 – 32 = 22 yrs
Answer A
The answer is: A
|
A
|
mathematics
|
If 25th of August in a year is Thursday, the number of Mondays in that month is
|
[
"4",
"5",
"2",
"3",
"1"
] |
Explanation:
Given that 25th August = Thursday
Hence 29th August = Monday
So 22nd,15th and 8th and 1st of August also will be Mondays
Number of Mondays in August = 5
Answer: Option B
The answer is: B
|
B
|
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