subject
stringclasses 1
value | question
stringlengths 3
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mathematics
|
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 4x+ 4y > 4z
III. yz > xz
IV. xy > y + z
|
[
"I only",
"II only",
"II and III only",
"II and IV only",
"III and IV only"
] |
we do not know the values or the relative values but that the three are consecutive..
so the max difference in any two number is 2 and min 1..
lets see the choices..
I. x > z...
we do not know the values or the relative values... need not be true..
II. 4x+ 4y > 4z or x+ y > z
we take the worst case that z is teh largest and x and y are lowest possible..... so 2+3>4.. 5>4.. always true
III. yz > xz
we do not know the values or the relative values between x and y..need not be true
IV. xy > y + z
xy-y>z or y(x-1)>z...
again lets take the worst scenario..
we take the worst case that z is the largest and x and y are lowest possible..... so (2-1)3>4.. 3>4.. not true
only ii is true
ans B
The answer is: B
|
B
|
mathematics
|
A can work three times as fast as B. Together they can finish a job in 18 days. In how many days can A complete the job alone?
|
[
"20",
"24",
"28",
"32",
"36"
] |
B's rate is x and A's rate is 3x.
x + 3x = 1/18
x = 1/72
A's rate is 3x = 1/24
A can complete the job in 24 days.
The answer is B.
The answer is: B
|
B
|
mathematics
|
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
|
[
"187 min",
"289 min",
"144 min",
"278 min",
"287 min"
] |
Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
4/x = 1/36 => x = 144 min.
Answer:C
The answer is: C
|
C
|
mathematics
|
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
|
[
"2345",
"4500",
"5000",
"6000",
"7000"
] |
2000 + 300 + 40 + 5 = 2345
ANSWER A
The answer is: A
|
A
|
mathematics
|
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 18 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
|
[
"1/10",
"3/10",
"1/2",
"7/25",
"9/10"
] |
C+M+B-CM-MB-CB-2CMB = 100
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-18-2CMB = 100
B-CB-MB-2CMB = 28
hence the probability = 28/100 = 7/25.
D
The answer is: D
|
D
|
mathematics
|
How many numbers between 1000 and 5000 are exactly divisible by 225?
|
[
"16",
"18",
"19",
"12",
"13"
] |
Explanation: First multiple of 225 after 1000 is 1125 (225 × 5 ) and last multiple of 225 before 5000 is 4950 (225 × 22)
Total number are l−a/d+1=4950−1125/225+1=18
Correct Option: B
The answer is: B
|
B
|
mathematics
|
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 350, what is the least possible value of n?
|
[
"5",
"7",
"12",
"13",
"14"
] |
350 = 2 * 5 * 5 * 7
so the least value forNcan be 7.
B
The answer is: B
|
B
|
mathematics
|
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
|
[
"630",
"1260",
"2520",
"3780",
"5040"
] |
The number of ways to seat 7 people is 7! = 5040.
Child C will sit to the left of Child D in exactly half of these arrangements.
The total number of possible arrangements is 5040/2 = 2520
The answer is C.
The answer is: C
|
C
|
mathematics
|
In the coordinate plane, the points F (-2,1), G (1,2), and H (2,1) lie on a circle with center P. What are the coordinates of point P ?
|
[
"(0,0)",
"(1,1)",
"(1,2)",
"(1,-2)",
"(2.5, -2.5)"
] |
I thought I need to find the 4th point that would lie on the circle
Hence my answer was D (1,-2)
But the the center of the circle will lie on (0,0)
A
The answer is: A
|
A
|
mathematics
|
the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Alice and not next Ann?
|
[
"1/6",
"11/12",
"11/144",
"1/12",
"1/144"
] |
the probability that I won't sit next to Ann is 1-1/12=11/12.
the probability that I will sit next to Alice is 1-11/12 = 1/12.
Therefore the probability that I will sit next to Ann and Alice is 11/12*1/12=11/144
Answer:C
The answer is: C
|
C
|
mathematics
|
Virat buys an old car for Rs. 50000 and spends Rs. 1000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
|
[
"3 (4/7) %",
"11 (1/9) %",
"12 (2/3) %",
"12%",
"17.64%"
] |
Explanation:
C.P. = Rs. (50000 + 1000) = Rs. 51000
S.P. = Rs. 60000.
Gain% = ( (9000 / 51000) * 100 ) % = 17.64%
ANSWER E
The answer is: E
|
E
|
mathematics
|
If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
|
[
"120",
"30",
"24",
"11",
"6"
] |
There are 6 possibilities:
bbgggggg
gbbggggg
ggbbgggg
gggbbggg
ggggbbgg
gggggbbg
ggggggbb
Think of all 2 boys as a single unit. Together with 5 girls it makes a total of 6 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 6 available positions. If the number of available unique positions is 6, then the number of unique patterns equals 6 as well.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
|
[
"21 (1/9)",
"21 (1/3)",
"21 (1/2)",
"21 (5/3)",
"21 (1/6)"
] |
Let the total distance be x km
total time taken = (x/4)/16 + (3x/4)/24 = x/64 + x/32 = 3x/64
Average speed = x/(3x/64) = 64/3kmph = 21 (1/3)kmph.'
Answer: B
The answer is: B
|
B
|
mathematics
|
Ravi can do a piece of work in 28 days while Prakash can do it in 40 days. In how many days will they finish it together?
|
[
"16 1/17 days",
"17 1/8 days",
"16 8/17 days",
"17 7/17 days",
"18 1/17 days"
] |
1/28 + 1/40 = 17/280
280/17= 16 8/17 days
Answer: C
The answer is: C
|
C
|
mathematics
|
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
|
[
"20/65",
"20/63",
"20/68",
"20/66",
"20/29"
] |
Required probability
= (5C3 . 4C1)/9C4
= (10 * 4)/126
= 20/63
Answer:B
The answer is: B
|
B
|
mathematics
|
Find large number from below question The difference of two numbers is 1311. On dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder
|
[
"1209",
"1324",
"1441",
"1300",
"1635"
] |
Let the smaller number be x. Then larger number = (x + 1311).
x + 1311 = 11x + 11
10x = 1300
x = 130
Large number = 130+1311 = 1441
Answer : C
The answer is: C
|
C
|
mathematics
|
Find the average of the first 23 natural numbers?
|
[
"8",
"9",
"10",
"11",
"12"
] |
Average of the first 'n' natural numbers = (n + 1)/2
We get (23 + 1)/2 = 12
ANSWER:E
The answer is: E
|
E
|
mathematics
|
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and ten copper coins, how many different sums from 1¢ to 60¢ can he make with a combination of his coins?
|
[
"30",
"22",
"56",
"44",
"48"
] |
The total sum is 5*2 + 10*5 = 60¢. If you can make each sum from 1 to 70 (1¢, 2¢, 3¢, ..., 60¢), then the answer would be 60 (maximum possible).
Now, with 2¢ and 5¢ we cannot make 1¢ and 3¢. We also cannot make 59¢ and 57¢ (since total sum is 60¢ we cannot remove 1¢ or 3¢ to get 59¢ or 57¢).
So, out of 60 sums 4 are for sure not possible, so the answer must be 60 - 4 = 56 sums or less. Only A fits.
Answer: C.
The answer is: C
|
C
|
mathematics
|
One year ago, the ratio of Sooraj's and Vimal's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Vimal?
|
[
"31",
"32",
"33",
"36",
"35"
] |
Let the age of Sooraj and Vimal, 1 year ago, be 6x and 7x respectively.
Given that, four years hence, this ratio would become 7:8
⇒(6x+5):(7x+5)=7:8⇒8(6x+5)=7(7x+5)⇒48x+40=49x+35⇒x=5
Vimal's present age
=7x+1=7×5+1=36
Answer is D.
The answer is: D
|
D
|
mathematics
|
A 6% stock yields 8% . The market value of the stock is :
|
[
"33",
"75",
"298",
"27",
"29"
] |
Explanation:
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs 6, investment =Rs. \inline \left ( \frac{100}{8} \times 6\right ) = Rs. 75
Market value of Rs. 100 stock = Rs. 75.
Answer: B) Rs.75
The answer is: B
|
B
|
mathematics
|
What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x
|
[
"3707",
"3790",
"3910",
"3907",
"3970"
] |
2
2 x 5 - 3 = 7
7 x 5 - 3 = 32
32 x 5 - 3 = 157
157 x 5 - 3 = 782
782 x 5 - 3 = 3907
D
The answer is: D
|
D
|
mathematics
|
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
|
[
"166 2/7",
"166 2/3",
"166 2/9",
"166 2/3",
"166 2/2"
] |
5% - 2% = 3%
3% ---- 5
100% ---- ? => 166 2/3
Answer: D
The answer is: D
|
D
|
mathematics
|
If m/63 is an integer, then each of the following must be an integer EXCEPT
|
[
"4",
"3",
"5",
"11/2",
"2"
] |
Now plug m =63 into the answer choices:
A. (63- 28)/7 =5. This is an integer
B. (63+ 21)/7 = 12. This is an integer
C. 14(63)/98 = 9. This is an integer
D. (63^2 - 49)/49 =80. This is an integer
E. (63+ 14)/14 = 11/2. This is NOT an integer
Answer: D
The answer is: D
|
D
|
mathematics
|
In a class of 50 students, 3/5 went away do painting, 1/5 went to play in the field. How many students are left in the classroom?
|
[
"20",
"30",
"5",
"8",
"10"
] |
3/5 + 1/5 are the students who have left the classroom
3/5 + 1/5 = (3 + 1)/5 , since denominator is same for both fractions
= 4/5
Remaining students in the classroom = 1 - 4/5 = 5/5 - 4/5 = (5-4)/5 = 1/5
1/5 of 50 = 10
Ans: E
The answer is: E
|
E
|
mathematics
|
Calculate the ratio between x and y if 90% of x equal to 60% of y?
|
[
"1 : 2",
"3 : 5",
"3 : 2",
"3 : 4",
"5 : 2"
] |
Explanation:
90 x = 60 y
x: y = 90: 60 = 3 : 2
Answer:C
The answer is: C
|
C
|
mathematics
|
What is the product of the greatest 2 digit multiple of 9 and the greatest 2 digit prime number?
|
[
"9,312",
"9,408",
"9,603",
"9,603",
"9,702"
] |
the greatest 2 digit multiple of 9: 99
the greatest 2 digit prime numebr: 97
97*99.
9603
C
The answer is: C
|
C
|
mathematics
|
The weight of a glass of jar is 40% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
|
[
"1/5",
"1/3",
"2/5",
"1/2",
"2/3"
] |
Let weight of jar filled with beans = 100 g
Weight of jar = 40 g
Weight of coffee beans = 60 g
Weight of jar and remaining beans = 60 g
Weight of remaining beans = 20 g
Fraction remaining = 20/60 = 1/3
Answer is B.
The answer is: B
|
B
|
mathematics
|
The perimeter of one face of a cube is 40 cm. Its volume will be:
|
[
"125cm3",
"400cm3",
"250cm3",
"1000cm3",
"None of these"
] |
Explanation:
Edge of cude = 40/4 = 10 cm
Volume = a*a*a = 10*10*10 = 1000 cm cube
Option D
The answer is: D
|
D
|
mathematics
|
The total car population in a Chennai is 9000 out of which 5000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red
|
[
"22.5%",
"21.5%",
"20.5%",
"12.5%",
"10.5%"
] |
Total Honda brand red cars = 90/100 *5000 = 4500
Total red cars = 60/100*9000 = 5400
No. of Non-Honda cars = 9000-5000 = 4000
No. of Non-Honda red cars = 5400 - 4500 = 900
% of Non-Honda red cars = 900/4000*100 = 22.5%
Answer : A
The answer is: A
|
A
|
mathematics
|
If 45% of z is 60% of y and y is 75% of x, what percent of x is z?
|
[
"200",
"160",
"100",
"65",
"50"
] |
(45/100)z = (60/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (60/100)*(3/4)x
i.e. z = (60*3)x/(45*4)
i.e. z = (1)x = (100/100)x
i.e. z is 100% of x
Answer: Option C
The answer is: C
|
C
|
mathematics
|
An aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
|
[
"520",
"620",
"576",
"740",
"720"
] |
Distance = (240 x 4) = 960 km.
Speed = Distance/Time
Speed = 960/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = (960 x 3/5) km/hr = 576 km/hr
Answer C) 576 Km/hr
The answer is: C
|
C
|
mathematics
|
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $5.50. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
|
[
"$960",
"$1,350",
"$1,650",
"$2,050",
"$2,250"
] |
Total Volume is 288000
Given LBH = 8*10*12.
the number of hats inside it = 288000/10 * 8 * 12 = 300.
price of each hat is 5.5 $ then total value is 300 * 5.5 = 1650.
IMO option C is correct answer..
The answer is: C
|
C
|
mathematics
|
If x, y and r are positive integers greater than 1, and x and y are factors of r, which of the following must be the factor of r^(xy)?
I. x+y
II. y^x
III. x^2 * y^2
|
[
"I only",
"II only",
"III only",
"I and II",
"II and III"
] |
given that p and q are factors of r.
so we can picture it this way r=x*y*n (n-some another factor of r)
so, r^xy= (x*y*n)^xy
I. x+y .since the question is MUST BE TRUE, we eleminate this option
II. (x*y*n)^xy / y^x= integer YES!
III.(x*y*n)^xy/ x^2 * y^2 YEs, since we are said that integer x>1 and integer y>1
The answer is: E
|
E
|
mathematics
|
If r + | r | = 0, which of the following must be true?
|
[
"r > 0",
"r≥0",
"r < 0",
"r≤0",
"r = 0"
] |
Manipulate the equations:
r + | r | = 0
|r| = -r
-r > 0 OR -r = 0
This means r could be 0 or r is less than 0.
D. r≤0
E. r=0
Answer: D
The answer is: D
|
D
|
mathematics
|
In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.
|
[
"15",
"14",
"21",
"25",
"18"
] |
Solution: Let n be the number of persons in the party. Number of hands shake = 105; Total number of hands shake is given by nC2.
Now, according to the question,
nC2 = 105;
Or, n!/[2!*(n-2)!] = 105;
Or, n*(n-1)/2 = 105;
Or, n2-n = 210;
Or, n2-n-210 = 0;
Or, n = 15, -14;
But, we cannot take negative value of n.
So, n = 15 i.e. number of persons in the party = 15.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of
33 kms in 45 minutes. What is the ratio of their speed?
|
[
"3:4",
"2:1",
"1:2",
"4:3",
"5:5"
] |
Speed of the truck = 550 metres/min
speed of the train = 33/45 km/min = 33000/45 metres/min
speed of the truck : speed of the train
=550:33000/45 = 55:3300/45 = 5:300/45
1:60/45 = 1:4/3 = 3:4
ANSWER A
The answer is: A
|
A
|
mathematics
|
How many possible ways can 4 girls (Rebecca, Kate, Ashley) go on a date with 4 boys (Peter, Kyle, Sam)?
|
[
"3",
"4",
"5",
"6",
"24"
] |
Any one girl can go with 4 boys.
2nd girl can go with remaining 3 boys
3nd girl can go with remaining 2 boys
and 3rd girl can go with remaining 1 boy
4! i.e 24 (E) is the answer
The answer is: E
|
E
|
mathematics
|
Aunt Mary owns a bakery where she sells lemon cakes for R dollars a piece. Each lemon cake is made with S kgs of flour, and T kgs of lemon. At the local market, flour is sold at U dollars per kg, and lemon at V dollars per kg.
How much profit has she made, after selling W lemon cakes?
|
[
"WSU-TVR",
"WR-WTV-WSU",
"WTV+WR+WSU",
"W(TU-SV-R)",
"R(W+UV+TV)"
] |
The cost of lemon used for one cake=TV dollars
The cost of flour used for one cake= SU dollars
Then, the cost price=W(TV+SU) dollars
The selling price= RW dollars
So, the profit= RW-W(TV+SU) dollars
The answer is B!!
The answer is: B
|
B
|
mathematics
|
A chessboard is an 8×8 array of identically sized squares. Each square has a particular designation, depending on its row and column. An L-shaped card, exactly the size of four squares on the chessboard, is laid on the chessboard as shown, covering exactly four squares. This L-shaped card can be moved around, rotated, and even picked up and turned over to give the mirror-image of an L. In how many different ways can this L-shaped card cover exactly four squares on the chessboard?
|
[
"256",
"336",
"424",
"512",
"672"
] |
Select 3 squares which are in a line together first. We will call them a block of 3 squares. Consider just the vertical arrangement for now (for horizontal, we will multiply everything by 2 at the end).
Consider a block of 3 squares lying vertically on the left edge (the first column of the chess board). You can place another square on the right to make an L at either extreme of the block. So for each such block, you can make an L in 2 ways. There will be 12 such blocks (6 on either edge).
You get 12*2 Ls.
Now consider the blocks of 3 squares lying vertically in columns 2 to 7. You can make an L by placing a square on left or right at either end. So for each block of 3 squares, you can make 4 Ls. There are 6 such blocks in each of the 6 columns
You get 6*6*4 Ls.
Total you get 12*2 + 6*6*4 = 168 Ls.
Now you just multiply it by 2 to account for the Ls lying horizontally too. Since it is a square, the number of Ls found vertically will be the same as the number of Ls found horizontally.
Total = 168*2 = 336
Answer (B)
The answer is: B
|
B
|
mathematics
|
A three-person committee must be chosen from a group of 7 professors and 20 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
|
[
"A)70",
"B)1785",
"C)630",
"D)1,260",
"E)1,980"
] |
Total number of ways to select at least one professor = Number of ways to select 3 people from 20 students and 7 professors - Number of ways to select 3 people from 20 student (i.e. without including any professor)
= 27C3 - 20C3 = 2925 - 1140 = 1785
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Mrs. Rodger got a weekly raise of $175. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
|
[
"$204",
"$231",
"$156",
"$175",
"$200"
] |
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 175.
So after completing the 1st week she will get $ (x+175).
Similarly after completing the 2nd week she will get $ (x + 175) + $ 175.
= $ (x + 175 + 175)
= $ (x + 350)
So in this way end of every week her salary will increase by $ 175.
D
The answer is: D
|
D
|
mathematics
|
Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
|
[
"645",
"655",
"665",
"636",
"646"
] |
Exp. Let the actual number of points scored be x,
Then [ x + (92 –85 )] /8 = 84, ( x + 7) /8 = 84 , x = ( 84*8 )- 7,
= 672 - 7 = 665
Answer: C
The answer is: C
|
C
|
mathematics
|
If m > 1 and n = 2^(m+3), then 4^m =
|
[
"16n^2",
"4n^2",
"8n^2",
"n^2/64",
"n^2/16"
] |
n = 2^(m+3) = 2^m*8
2^m = n/8
4^m = (2^m)^2 = (n/8)^2 = n^2/64
The answer is D.
The answer is: D
|
D
|
mathematics
|
What could be the range of a set consisting of odd multiples of 5?
|
[
"21",
"24",
"35",
"62",
"60"
] |
Range = the difference between the greatest and the smallest numbers in the sequence. Our sequence is odd and is a multiple of 7. Every number in that sequence can be represented like this: 5*(2n+1) where n is any positive integer.
Range = 5*(2m + 1) - 5*(2n + 1) = 5*2*(m-n) = 10 * (m-n).
m, n - any positive integers
The answer must be divisible by 10, which is only 60.
The correct answer is E.
The answer is: E
|
E
|
mathematics
|
We made a down payment of $80 and borrowed the balance on a new cello which cost $500. The balance with interest was paid in 23 monthly payments of $19 each and a final payment of $4. The amount of interest paid was what percent of the amount borrowed?
|
[
"3.5%",
"4%",
"4.5%",
"5%",
"5.5%"
] |
We borrowed $420.
To pay back this loan, we paid 23*$19 + $4=$441.
The interest was $441-$420=$21.
The percentage was $21/$420=0.05=5%.
The answer is D.
The answer is: D
|
D
|
mathematics
|
Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age.
|
[
"14",
"15",
"20",
"21",
"24"
] |
Explanation:
Present age is 4x and 3x,
=> 4x + 4 = 32 => x = 7
So Deepak age is = 3(7) = 21
Option D
The answer is: D
|
D
|
mathematics
|
If a truck is traveling at a constant rate of 108 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
|
[
"20",
"24",
"30",
"36",
"48"
] |
Speed = 108 Km/hr =>108,000 m/hr
In one minute => 108000/60 = 1800 meters
In one sec => 1800/60 = 30 meters
Time = Total distance need to be covered / Avg. speed
=> 600/ 30 =20 and hence the Answer : A
The answer is: A
|
A
|
mathematics
|
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
|
[
"2/23",
"3/23",
"4/25",
"5/26",
"8/21"
] |
Total number of balls = (8 + 7 + 6) = 21
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/21.
The answer is: E
|
E
|
mathematics
|
In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
|
[
"72",
"90",
"100",
"110",
"120"
] |
Diver = (4*3)+2 = 14
2* Quotient = 14
Quotient = 7
Dividend = (Divisor * Quotient) + Remainder
Dividend = (14 * 7) + 2 = 100
C
The answer is: C
|
C
|
mathematics
|
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
|
[
"22",
"35",
"77",
"54",
"23"
] |
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2
= 35 cm2
Answer:E
The answer is: E
|
E
|
mathematics
|
If the first day of a year (other than leap year) was Tuesday, then which was the last day of that year?
|
[
"Saturday",
"Friday",
"Tuesday",
"Monday",
"None of these"
] |
Explanation :
Given that first day of a normal year was Tuesday
Odd days of the mentioned year = 1 (Since it is an ordinary year)
Hence First day of the next year = (Tuesday+ 1 Odd day) = Wednesday
Therefore, last day of the mentioned year = Tuesday. Answer : Option C
The answer is: C
|
C
|
mathematics
|
If y ≠ 3 and 2b/y is a prime integer greater than 2, which of the following must be true?
I. b = y
II. y = 1
III. b and y are prime integers.
|
[
"None",
"I only",
"II only",
"III only",
"I and II"
] |
Note that we are asked which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So we should try to make the listed statements not true for some b and y (which satisfy y≠3 and 2b/y=prime>2).
I. b = y --> not necessarily true: b=3 and y=2 (2b/y=3=prime>2);
II. y=1 --> not necessarily true: b=3 and y=2 (2b/y=3=prime>2);
III. b and y are prime integers --> not necessarily true: b=10 and y=4 (2b/y=5=prime>2).
Answer: A.
The answer is: A
|
A
|
mathematics
|
The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?
|
[
"7",
"10",
"4",
"6",
"8"
] |
Cube volume = a(power)3 cubic units
Surface area = 6 a(power)2 sq.units
a(power)3 = 6 a(power)2
a = 6 m
Answer is D.
The answer is: D
|
D
|
mathematics
|
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
|
[
"270",
"978",
"267",
"166",
"199"
] |
12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer:A
The answer is: A
|
A
|
mathematics
|
66 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
|
[
"64",
"150",
"152",
"216",
"256"
] |
66 small cube will make a large cube with 4 cubes in each line i.e.
Adding one layer will require one cube at each end and hence new cube will have 6 cubes in each line.
Total number of small cubes in new cube = 6^3 = 216
Extra cube required = 216 - 66 = 150
Hence, B is the answer.
The answer is: B
|
B
|
mathematics
|
Two cars start at the same time from opposite ends of a highway that is 175 miles long. One car is riding at 25 mph and the second car is riding at 45 mph. How long after they begin will they meet?
|
[
"2",
"2.5",
"3",
"3.5",
"4"
] |
As cars are moving in opposite directions their speeds will be added. So their relative speeds: 45+25 = 70 mph
Total distance to be covered = 175 miles.
Time taken would be: 175 miles/70 mph = 2.5 hours
B is the answer.
The answer is: B
|
B
|
mathematics
|
The side of a square is increased by 20% then how much % does its area increases?
|
[
"44.00 %",
"45.25 %",
"48.75 %",
"50.00 %",
"40.00 %"
] |
a = 100 a2 = 10000
a = 120 a2 = 14400
----------------
10000 --------- 4400
100 -------? => 44.00 %
Answer:A
The answer is: A
|
A
|
mathematics
|
Soja finished 2/3 of a book. She calculated that she finished 100 more pages than she has yet to read. How long is her book?
|
[
"A)300",
"B)150",
"C)130",
"D)90",
"E)210"
] |
Let x be the total number of pages in the book, then she finished 2/3*x pages.
Then she has x−2/3*x=1/3*x pages left.
2/3*x−1/3*x=100
1/3*x=100
x=300
So the book is 300 pages long.
Answer is A.
The answer is: A
|
A
|
mathematics
|
The average of 35 students in a class is 18 years. The average age of 25 students is 16. What is the average age of remaining 10 students?
|
[
"21 years",
"23 years",
"22 years",
"20 years",
"24 years"
] |
Sum of the ages of 14 students
= (18 * 35) - (16 * 25) = 630 - 400 = 230
Required average = (230/10) = 23 years.
Answer:B
The answer is: B
|
B
|
mathematics
|
The average of first 15 even numbers is?
|
[
"10",
"11",
"12",
"16",
"14"
] |
Sum of 15 even numbers = 15 * 16 = 240
Average = 240/15 = 16
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half
water and half alcohol?
|
[
"25%",
"20%",
"14.29%",
"33.33%",
"None of these"
] |
Explanation:
Let the jar initially contain 8 litres of mixture:3 litres water and 5 litres alcohol
Let x litres of this mixture is drawn out and is replaced by x litres of water.
Amount of water now in the solution: 3-(3/8)x+x.
Amount of alcohol now in the solution: 5-(5/8)x
Desired ratio: 1/1
=>3-(3/8)x+x=5-(5/8)x
x=8/5 litres
%x=((8/5)/8)*100=20%
ANSWER B
The answer is: B
|
B
|
mathematics
|
The number of female students in a college in the previous year was 350. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
|
[
"1000",
"1200",
"1400",
"1600",
"1800"
] |
Let x be the number of male students last year. The number of male students this year is 2x.
Let y be the number of female students this year.
x/350 = 2(2x/y)
y = 1400
The answer is C.
The answer is: C
|
C
|
mathematics
|
The average age of 15 students of a class is 15 years. Out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years. The age of the 15th student is
|
[
"9 years",
"11 years",
"17 years",
"21 years",
"25 years"
] |
Solution
Age of the 15th student =[15x15-(14x8+16x6)]
= (225 - 208)
= 17 years.
Answer C
The answer is: C
|
C
|
mathematics
|
One night 17 percent of the female officers on a police force were on duty. If 170 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
|
[
"400",
"420",
"450",
"480",
"500"
] |
Let x be the number of female police officers on the police force.
The number of female police officers on duty was 85.
0.17x = 85
x = 500
The answer is E.
The answer is: E
|
E
|
mathematics
|
Find the value of 582964 x 99999 = m?
|
[
"58210607666",
"58310607896",
"58295817036",
"58591650836",
"58310692816"
] |
582964 x 99999 = 582964 x (10000 - 1)
= 582964 x 100000 - 582964 x 1
= 58296400000 - 582964
= 58295817036
C
The answer is: C
|
C
|
mathematics
|
The following questions are based on the information given below:
1)A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
2)Two sides measuring 5 cm x 4 cm are coloured in red.
3)Two faces measuring 4 cm x 3 cm are coloured in blue.
4)Two faces measuring 5 cm x 3 cm are coloured in green.
5)Now the block is divided into small cubes of side 1 cm each.
How many small cubes will have will have three faces coloured ?
|
[
"14",
"8",
"10",
"12",
"16"
] |
Such cubes are related to the corners of the cuboid and in the cuboid there are 8 corners.
Hence, the required number of small cubes is 8.
Answer :B
The answer is: B
|
B
|
mathematics
|
The difference between compound and simple interest on a particular sum of money for 3 years at 6 and 2/3% p.a is Rs.184. What is the sum?
|
[
"13000",
"13500",
"14000",
"14500",
"15000"
] |
P = (184*10^6) / (6 2/3 * 6 2/3*(300*6 2/3))
==> 13500
ANSWER B
The answer is: B
|
B
|
mathematics
|
Diana took out a charge account at the General Store and agreed to pay 6% simple annual interest. If she charges $60 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
|
[
"$62.40",
"$62.80",
"$63.20",
"$63.60",
"$64.00"
] |
1.06*$60=$63.60
The answer is D.
The answer is: D
|
D
|
mathematics
|
Two students appeared at an examination. One of them secured 9 marks more than the other and his
marks was 56% of the sum of their marks. The marks obtained by them are
|
[
"42,30",
"42,31",
"42,32",
"42,33",
"None of these"
] |
Explanation:
Let their marks be (x+9) and x.
Then, x+9 = 56/100(x + 9 +x)
=> 25(x+9)
=> 14 (2x + 9)
=> 3x = 99
=> x = 33.
So, their marks are 42 and 33
Answer: Option D
The answer is: D
|
D
|
mathematics
|
5 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
|
[
"30",
"21",
"10",
"15",
"12"
] |
the formula to count handshakes is n(n−1)2n(n−1)2
Where n is the number of people
=> 5(5-1)/2 = 5*4/2 = 20/2 = 10
=> the answer is C(10)
The answer is: C
|
C
|
mathematics
|
If a student loses 5 kilograms, he will weigh twice as much as his sister. Together they now weigh 104 kilograms. What is the student's present weight in kilograms?
|
[
"70",
"71",
"72",
"73",
"74"
] |
Let x be the weight of the sister.
Then the student's weight is 2x+5.
x + (2x+5) = 104
3x = 99
x = 33 kg
Then the student's weight is 71 kg.
The answer is B.
The answer is: B
|
B
|
mathematics
|
If the sum of the interior angles of a regular polygon is 1080 degrees, how many sides does the polygon have?
|
[
"4",
"3",
"6",
"8",
"None of these"
] |
8 sides...answer is D
The answer is: D
|
D
|
mathematics
|
If 9 workers can build 9 cars in 9 days, then how many days would it take 7 workers to build 7 cars?
|
[
"6",
"7",
"8",
"9",
"10"
] |
9 workers can build 1 car per day on average.
1 worker can build 1/9 of a car per day.
7 workers can build 7/9 car per day.
The time required to build 7 cars is 7 / (7/9) = 9 days
The answer is D.
The answer is: D
|
D
|
mathematics
|
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain?
|
[
"45",
"50",
"55",
"60",
"90"
] |
F:C:W
1:12:30
Sport version:
F:C
3:12
F:W
1:60
OR 3:180
So C:F:W = 12:3:180
C/W = 12/180 = 3 ounces/x ounces
x = 6*180/12 = 90 ounces of water
E
The answer is: E
|
E
|
mathematics
|
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 10% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
|
[
"9% less than N",
"25% less than N",
"equal to N",
"20% greater than N",
"25% greater than"
] |
Correct answer is (A).
This year, the price of a tree is price1=P/N.
If this price increases by 10% it becomes price2=P/N*1.10
Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.10) i.e. N/1.1 i.e. .91%
The answer is: A
|
A
|
mathematics
|
A store owner estimates that the average price of type A products will increase by 30% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
|
[
"$14,980",
"$15,325",
"$16,000",
"$16,225",
"$17,155"
] |
cost of type A products next year = 1.30 * 4500 = 5850
cost of type B products next year = 1.1 * 8300 = 9130
total 5850 + 9130 = 14980 option A
The answer is: A
|
A
|
mathematics
|
A man swims downstream 28 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water?
|
[
"6.5",
"8.6",
"7.5",
"9.2",
"5.5"
] |
28 --- 4 DS = 7
? ---- 1
16 ---- 4 US = 4
? ---- 1 M = ?
M = (7 + 4)/2 = 5.5
Answer: E
The answer is: E
|
E
|
mathematics
|
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
|
[
"1 : 1",
"2 : 1",
"2 : 3",
"3 : 2",
"1 : 2"
] |
Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27 x meters, and
length of the second train = 17 y meters.
(27 x + 17 y) / (x + y) = 23
=> 27 x + 17 y = 23 x + 23 y
=> 4 x = 6 y
=> x/y = 3/2.
Answer : D
The answer is: D
|
D
|
mathematics
|
Tom drives his car at a speed of 40kmph and reaches his destination in 5hrs and John covers the same distance in 8 hours. If speed of Tomis increased by 10kmph and speed of Ram is increased by 15kmph, what would be the difference between the times taken by them to cover the distance?
|
[
"2 hour",
"1 hour",
"3 hour",
"4 hour",
"5 hour"
] |
Distance covered by Ravi at a speed of 40 kmph in 5 hours
ð Distance= Speed x Time = 40 x 5= 200 km
Ram covers same distance in 8 hours => Speed of Rama =
Distance
Time
= 200/8
= 25 kmph.
Ravi speed is increased by 10 kmph => New speed of Ravi = 40+10 = 50 kmph
Ram speed is increased by 15 kmph =>New speed of Ram = 25+15 = 40 kmph.
Therefore, time taken by Ravi to cover 200 km at 50 kmph = 200/50
= 4 hours
Time taken by Ram to cover 200 km at 40 kmph = 200/40
= 5 hours B)
Required time difference = 5 hours – 4 hours = 1 hour
B
The answer is: B
|
B
|
mathematics
|
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 3600 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
|
[
"240",
"250",
"260",
"270",
"280"
] |
Given that the area of the square = 3600 sq.units
=> Side of square = √3600 = 60 units
The radius of the circle = side of the square = 60 units
Length of the rectangle = 2/5 * 60 = 24 units
Given that breadth = 10 units
Area of the rectangle = lb = 24 * 10 = 240 sq.units
Answer: Option A
The answer is: A
|
A
|
mathematics
|
The profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
|
[
"960",
"1060",
"1,200",
"920",
"None of these"
] |
Let the profit or loss be x
and 832 – x = 448 + x or, x = 384⁄2 = 192
\ Cost price of the article = 832 – x = 448 + x = 640
\ SP of the article = 640 × 150⁄100 = 960
Answer A
The answer is: A
|
A
|
mathematics
|
Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 7th shift?
|
[
"1/27",
"1/54",
"1/81",
"1/162",
"1/1458"
] |
Fraction of area unpainted after FIRST shift of Amit = 1-(1/2) = 1/2
Fraction of area unpainted after FIRST shift of Ian = (1/2)-(1/3)(1/2) = (2/3)(1/2)
Fraction of area unpainted after SECOND shift of Amit = (1/2)(2/3)(1/2)
Fraction of area unpainted after SECOND shift of Ian = (2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after THIRD shift of Amit = (1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after THIRD shift of Ian = (2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after FORTH shift of Amit = (1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after FORTH shift of Ian = (2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after FIFTH shift of Amit = (1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after FIFTH shift of Ian = (2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after SIXTH shift of Amit = (1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after SIXTH shift of Ian = (2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)
Fraction of area unpainted after SEVENTH shift of Amit = (1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)(2/3)(1/2)=1458
Answer: option E
The answer is: E
|
E
|
mathematics
|
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
|
[
"9.8 sec",
"12.1 sec",
"12.42 sec",
"14.3 sec",
"9.2 sec"
] |
Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A bag contains 20 red and 30 white balls. One ball is drawn at random. What is the probability that the ball drawn is red?
|
[
"11/5",
"2/5",
"3/5",
"4/5",
"1/2"
] |
Total number of balls = 20+30 = 50
number of red balls = 20
Probability = 20/50 = 2/5
Answer is B
The answer is: B
|
B
|
mathematics
|
If the units digit of n^31 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
|
[
"Only I",
"Only II",
"Only III",
"I and II",
"II and III"
] |
I tried in this way.
Given n^31 units digit is 7.
If at all we have to get 7 as units digits only 3 and 7 series has 7
3^! = 3 , 3^2 = 9 , 3^3 = 27 , 3^4 = 81
7^1 = 7, 7^2 = 49 , 7^3 = 3 (units ) , 7^4 = 1 (units)
We have n^31 - then divide 31 by 4 = reminder 3.
Then we have for only 7^3 - we have units digit as 3.
Hence 47^31 = 7 (units).
Option B is correct answer , and with 41^31 we always get 1 as units digit and 43^31 - we get units as 3.
The answer is: B
|
B
|
mathematics
|
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(7) + 2; g(7) + 3; g(7) + 4; and g(7) + 5?
|
[
"1",
"2",
"3",
"4",
"none"
] |
g(7) is the product of all integers from 1 to 7, so g(7) = 7!
Thus g(7) is a multiple of all the integers from 1 to 7.
Then g(7) is a multiple of 2, 3, 4, and 5.
2 divides g(7)+2
3 divides g(7)+3
4 divides g(7)+4
5 divides g(7)+5
The answer is E.
The answer is: E
|
E
|
mathematics
|
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 35 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
|
[
"22%",
"24%",
"25%",
"26%",
"28%"
] |
Total sales =800
Comission = (20/100)*500+ (35/100)*300
=100 + 105
=205
%Comission =(205/800)*100=25.6~ 26%
Answer is D
The answer is: D
|
D
|
mathematics
|
What is the sum of the multiples of 3 from 33 to 60, inclusive?
|
[
"465",
"470",
"452",
"450",
"460"
] |
The formula we want to use in this type of problem is this:
Average*Total Numbers=Sum
First, find the average by taking the sum of the F + L number and divide it by 2:
A = (F + L)/2
Second, find the total numbers in our range by dividing our F and L numbers by 7 and add 1.
(60/3) - (33/3) + 1
Multiply these together so what we show Average*Total Numbers=Sum
(33 + 60)/2 * (60/3) - (33/3) + 1 = Sum
93/2 *10 = 465
A
The answer is: A
|
A
|
mathematics
|
The population of a bacteria culture doubles every 6 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
|
[
"10",
"12",
"14",
"54",
"18"
] |
This one's easy.
1000 * 2^t = 500,000
2^t = 500
Now gauging, since 2^8 = 256, then 2^9 = 512
So t = 9
But be careful, 't' is in time intervals of 6 minutes
So answer is 9* 6 = 54 minutes
Answer (D)
The answer is: D
|
D
|
mathematics
|
For an upcoming charity event, a male vocalist has agreed to sing 4 out of 6 “old songs” and 2 out of 5 “new songs.” How many ways can the singer make his selection?
|
[
"25",
"50",
"150",
"480",
"600"
] |
Number of ways the vocalist can sing "old songs" = C64=15
Number of ways the vocalist can sing "new songs" = C52=10
Therefore total number of ways the singer can make the selection = (Number of ways the vocalist can sing "old songs")*(Number of ways the vocalist can sing "new songs")= 15*10=150
Answer: C
The answer is: C
|
C
|
mathematics
|
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
|
[
"8 1/3",
"8 1/6",
"8 1/4",
"8 1/8",
"8 1/9"
] |
(4000*3*R)/100
= (5000*5*4)/100
R = 8 1/3
Answer: A
The answer is: A
|
A
|
mathematics
|
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 50
II. 68
III. 90
|
[
"I only",
"III only",
"I and II",
"I only III",
"II and III"
] |
m = 18k + 12 --> Values are 12, 30, 48, 66, 84
n = 24k + 14 --> Values are 14, 38, 62, 86
I. 50 --> 12 + 38 --> Possible
II. 68 --> 30 + 38--> Possible
III. 92 --> Not possible
Answer: C
The answer is: C
|
C
|
mathematics
|
A can do a work in 10days and B can do the same work in 8 days. They work together for 3days and then A goes away. In how many days will B finish the work?
|
[
"11/17days",
"21/40days",
"31/40days",
"14/21days",
"15/31days"
] |
A+B can do the work in 3 days = 3( 1/10 + 1/8) = 9/40
Rest of the work = 1 - 9/40 = 31/40
B will do the rest of the work in = 1 - 9/40 = 31/40days
Answer is C
The answer is: C
|
C
|
mathematics
|
1234+123+12+X=1221.Find the value of X.
|
[
"10",
"148",
"12",
"13",
"189"
] |
x=1234+123+12-1221
x=148
CORRECT ANSWER : B
The answer is: B
|
B
|
mathematics
|
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
|
[
"480",
"456",
"345",
"356",
"368"
] |
1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
Answer: A
The answer is: A
|
A
|
mathematics
|
Find the value of m 72519 x 9999 = m?
|
[
"724533811",
"353654655",
"545463251",
"725117481",
"477899932"
] |
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
The answer is: D
|
D
|
mathematics
|
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is ?
|
[
"27/42",
"25/499",
"25/45",
"25/41",
"25/42"
] |
Total fruits = 9
Since there must be at least two apples,
= 25/42.
Answer: A
The answer is: A
|
A
|
mathematics
|
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"200",
"220",
"180",
"250",
"260"
] |
Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 32 = 15
x + 300 = 480
x = 180 m.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
A vendor bought bananas at 6 for Rs.10 and sold them at Rs.4 for Rs.6 .Find his gain or loss percent .
|
[
"10",
"20",
"25",
"30",
"32"
] |
Sol:
Suppose , number of bananas bought = LCM of 6 and 4=12
CP=Rs.[(10/6)*12]=Rs.20 ; SP= Rs[(6/4)*12]=Rs.18
Loss%=[(2/20)*100]%=10%
Option A
The answer is: A
|
A
|
mathematics
|
A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
|
[
"1/4",
"1/3",
"1/2",
"2/3",
"3/4"
] |
3 revolutions per minute = 1 revolution every 20 seconds
So no matter what anybody appearing at the tower cannot stay in the dark for more than 20 seconds. This will be our total number of possibilities i.e the denominator.
P(man in dark for at least 5 seconds) = 1 - P (man in dark for max of 5 seconds) = 1 - 5/20 = 1 - 1/4 = 3/4
or the other way would be:
P(man in dark for at least 5 seconds) is like saying he can be in dark for 5,6,7...all the way to 20 seconds because that is the max. In this approach it would be 15/20 seconds = 3/4.
The answer is: E
|
E
|
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