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mathematics | In the new budget the price of rise rose by 5%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase? | [
"7.5%",
"9.1%",
"4.76%",
"12.6%",
"15%"
]
| Reduce in consumption = R/(100+R) *100% = 5/105 *100 =4.76%
Answer is C
The answer is: C | C |
mathematics | A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? | [
"7 kmph",
"9 kmph",
"1 kmph",
"8 kmph",
"2 kmph"
]
| Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream
= (34 - 18)/2
= 8 kmph
Answer: D
The answer is: D | D |
mathematics | A started a business with Rs. 18000. After 4 months B joins with Rs. 24000. After 2 more months C joins with Rs. 30000. At the end of 10 months C received Rs. 1850 as his share. Find the total profit. | [
"Rs. 7955",
"Rs. 7030",
"Rs. 8510",
"Rs. 6845",
"None of these"
]
| Explanation:
Ratio of capitals of A, B and C
= (18000 × 10) : (24000 × 6) : (30000 × 4)
= 15 : 12 : 10
Let the total profit be Rs. x.
C's share = Rs. 10x/37
=> 10x/37 = 1850
=> x (1850 × 37)/10 = 6845
Hence, the total profit = Rs. 6845
Answer: Option D
The answer is: D | D |
mathematics | Which of the following expressions CANNOT have a negative value | [
"|a + b| – |a – b|",
"|a + b| – |a|",
"a^2 + b^2",
"|2a + b| – |a + b|",
"|a^3 + b^3| – a – b"
]
| Whenever you are required to find if the equation is a perfect square or not, try to bring everything in the form of a perfect square as they are always positive.
Of the given options, only option D can be written in from of a perfect square.
a^2+b^2
This will always be positive.
Correct Option: C
The answer is: C | C |
mathematics | A man buys an article for $100. and sells it for $115. Find the gain percent? | [
"10%",
"15%",
"25%",
"20%",
"30%"
]
| C.P. = $100
S.P. = $115
Gain = $15
Gain% = 15/100 *100 = 25%
Answer is B
The answer is: B | B |
mathematics | In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? | [
"173",
"126",
"153",
"143",
"133"
]
| 44 + 28 + 10 = 82%
100 – 82 = 18%
700 * 18/100 = 126
ANSWER:B
The answer is: B | B |
mathematics | 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class? | [
"1:4",
"1:5",
"5:6",
"1:6",
"None of these"
]
| Explanation :
Let, the total number of students in the class be 't' and the total number of students in the class who are economically poor be 'p'.
So,Total number of students who failed = t/5.
Total number of male students who failed are:-
=>(3/4)×(t/5)=9p/10.
=>p/t=1/6.
Hence,Number of economically poor students/Number of Students=1/6=1:6.
Answer : D
The answer is: D | D |
mathematics | 5 years ago Kate was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find the age of son? | [
"7",
"8",
"9",
"10",
"11"
]
| let x be the mother's age and y be the son's age
x-5=5(y-5)
x+5=3(y+5)-8
by solving this we get x=35 and y=11
ANSWER:E
The answer is: E | E |
mathematics | If you write down all the numbers from 1 to 50, then how many times do you write 3 ? | [
"A)11",
"B)15",
"C)20",
"D)21",
"E)22"
]
| Explanation:
Explanation:
Clearly, from 1 to 50, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.
So, required number = 5 + 10 = 15.
Answer:B
The answer is: B | B |
mathematics | If x is an integer, then x(x - 1)(x - v) must be evenly divisible by three when v is any of the following values EXCEPT | [
"-4",
"-2",
"-1",
"2",
"5"
]
| here's another approach
x(x - 1)(x - v)
all three are consecutive, so the product MUST be a multiple of 3
we don't know the value of v just yet ... so let's extend the series ... the extension itself reveals the answers
..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..
we can see the possible values of v too from the series
v = 2 OR 2+3n [25]
v = -1 OR -1+3n [-1-4]
B i.e. -2 does not fit in any value of v
so B it is
The answer is: B | B |
mathematics | A student writes a computer program that generates a sequence of numbers a1, a2, a3, ... such that a1=a2=1 and ak=a(k-1)*4+1 for 2<k<n. If n=15, find a5. | [
"85",
"87",
"89",
"93",
"95"
]
| a1=1
a2=1
a3=1*4+1=5
a4=5*4+1=21
a5=21*4+1=84+1=85
85
The answer is: A | A |
mathematics | Of 55 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? | [
"49",
"55",
"59",
"71",
"92"
]
| Total = 55
Thrower = 37
Rest = 55 - 37 = 18
Left Handed = 18/3 = 6
Right handed = 12
If all Thrower are right handed then total right handed is 37 + 12 = 49
so A. 49 is the right answer
The answer is: A | A |
mathematics | Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? | [
"1/15",
"1/16",
"1/11",
"1/10",
"1/12"
]
| Part of the filled by all the three pipes in one minute
= 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10
So, the tank becomes full in 10 minutes.
Answer:D
The answer is: D | D |
mathematics | The sum of two numbers is 30 and their difference is 10. Find their product. | [
"104",
"114",
"315",
"200",
"335"
]
| Let the numbers be x and y.
Then x + y = 30 and x - y = 10
x = 20; y = 10
xy = 20 * 10 = 200
ANSWER:D
The answer is: D | D |
mathematics | i row from a to b against the current in 8 hrs and from b to a in 2 hrs if speed of river is 9 m/sec.what is the speed of boat in still water. | [
"10 m/sec",
"15 m/sec",
"25 m/sec",
"18 m/sec",
"20 m/sec"
]
| If x m/sec is my speed in still water , then
(x+9)*2*3600= (x-9)*8*3600
6x=90
x= 15 m/sec
ANSWER:B
The answer is: B | B |
mathematics | A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full? | [
"12 hrs",
"24 hrs",
"16 hrs",
"32 hrs",
"None of these"
]
| Explanation :
Pipe A can fill 1⁄8 of the cistern in 1 hour.
Pipe B can empty 1⁄12 of the cistern in 1 hour
Both Pipe A and B together can effectively fill 1⁄8-1⁄12= 1⁄24 of the cistern in 1 hour
i.e, the cistern will be full in 24 hrs. Answer : Option B
The answer is: B | B |
mathematics | Two cars, Car1 and Car2 move towards each other from W and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach W starting from Y? | [
"15.5 sec",
"8.4 sec",
"33.6 sec",
"31.11 sec",
"16.8 sec"
]
| W--------------------------------------|----------------------------Y
Car A(20mps)------------------------->P<---------------Car B(15mps)
Let 2 cars meet each other at point P in t seconds.
Car1 covers distance= 20t. Car2 covers distance=15t. So, total distance WY= 35t.
From P, Car 1 reaches onto Y in 10 secs. So it covers 15t further.
so, 15t/20 = 10
So t=40/3 sec and total distance = (35*40)/3
Hence Car2 will cover total distance in (35*40)/(3*15) = 31.11 sec approx.
Answer D
The answer is: D | D |
mathematics | If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit | [
"96/5525",
"48/5525",
"16/5525",
"8/16575",
"1/2197"
]
| Let K,Q and J represent King, Queen and Jack respectively.
One possible combination is KQJ and this can be arranged in 3! ways.
Probability of KQJ = (4/52)*(4/51)*(4/50)
Total probability = 3! * (4/52)*(4/51)*(4/50) . No need for final calculation. Reduce this to simpler form and you only have 1 option with 16 in the numerator. C is the correct answer.
The answer is: C | C |
mathematics | How many terms are there in 2, 4, 8, 16,..., 16384? | [
"14",
"11",
"12",
"10",
"8"
]
| 2, 4, 8, 16, ..., 16384 is a G.P with a =2
and r =4/2 =2
Let the number of terms be n. Then
2 x 2 ^n-1 = 16384
or 2^n-1 = 8192 = 2^13
Thus n - 1 =13
n= 14
ANSWER:A
The answer is: A | A |
mathematics | A bus can hold 40 passengers. If there are 10 rows of seats on the bus, how many seats are in each row? | [
"0",
"2",
"4",
"6",
"5"
]
| No. of seats = 40/10 = 4
There are 4 seats in each row
Answer : C
The answer is: C | C |
mathematics | Solve the given two equations and find the inequality of X and Y. (a) x^2-1=0 and (b) y^2+4y+3=0 | [
"If x>y",
"If x>=y",
"If x<y",
"If x<=y",
"x=y or relationship cannot be established"
]
| Solution:-
X=+1,-1 and Y= -1,-3
Comparing we get X>=Y
B
The answer is: B | B |
mathematics | Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? | [
"30 m",
"60 m",
"65 m",
"70 m",
"90 m"
]
| Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m.
26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m
B
The answer is: B | B |
mathematics | The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle? | [
"7m",
"6m",
"5m",
"2m",
"4m"
]
| Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b2) = (1 + 108 1/3 %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l2 + b2) = 25lb
Adding 24lb on both sides
12l2 + 12b2 + 24lb = 49lb
12(l2 + b2 + 2lb) = 49lb
but 2(l + b) = 28 => l + b = 14
12(l + b)2 = 49lb
=> 12(14)2 = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l - b = 8 - 6 = 2m.
Answer: D
The answer is: D | D |
mathematics | Mary's income is 60% more Than Tim's income and Tim's income is 60% less than Juan's income.What % of Juan's income is Mary's income. | [
"124%",
"B.120%",
"64%",
"80%",
"64%"
]
| Even I got 96%
J = 100
T = 100*0.4 = 40
M = 40*1.6 = 64
If Mary's income is x percent of J
M = J*x/100
x = M*100/J = 64*100/100 = 64
Ans:C
The answer is: C | C |
mathematics | An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 10 o'clock in the morning? | [
"80°",
"60°",
"30°",
"10°",
"120°"
]
| The angle traced by the hour hand in 12 hours is 360°, which is 30° per hour.
In 2 hours, the angle traced by the hour hand is 2×30° = 60°
The answer is B.
The answer is: B | B |
mathematics | John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount W of dollars he could have spent for the $12 tickets? | [
"$48",
"$60",
"$84",
"$96",
"$120"
]
| 60 ..... 12 *5 W= 60. (min). Thus answer .B
The answer is: B | B |
mathematics | The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? | [
"1: 96",
"1: 99",
"1: 94",
"1: 92",
"1: 91"
]
| Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
Answer: A
The answer is: A | A |
mathematics | If |x^2 − 30| = x, which of the following could be the value of x? | [
"-6",
"-5",
"1",
"5",
"15"
]
| The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-30 is negative.
-(x^2 -30) = x
x^2 + x - 30 = 0
(x+6)(x-5) = 0
x = 5 or x = -6 (However, x can not be negative.)
Then x = 5 is a possible value for x.
The answer is D.
The answer is: D | D |
mathematics | Howmany three digits odd numbers can be formed using the digits 4,5,6,7,8,9 (repetition of digits not allowed) | [
"60",
"75",
"65",
"55",
"45"
]
| There are 3 ways of filling the unit place of the number. The remaining ten's and 100's place canbe filled in 5ways and
4 ways respectively. Required number of numbers =3x5x4=60. Ans: A
The answer is: A | A |
mathematics | The diagonals of a rhombus are 14 cm and 18 cm. Find its area? | [
"176",
"190",
"150",
"126",
"292"
]
| 1/2 * 14 * 18
= 126
Answer:D
The answer is: D | D |
mathematics | A shopkeeper sold two radio sets for 792 each, gaining 10% on one, and losing 10% on the other. Then he | [
"neither gains nor loses",
"gains 1%",
"loses 1%",
"gains 5%",
"None of these"
]
| Sol.(c) When selling price of two articles is same and
% gain = % loss
then there will be always loss.
and overall % loss = (10)2⁄100% = 1%. Answer C
The answer is: C | C |
mathematics | If six boys sit in a row, then what is the probability that three particular boys are always together is? | [
"1/5",
"1/4",
"1/3",
"1/7",
"2/5"
]
| Six boys can be arranged in a row in 6! ways.
Treat the three boys to sit together as one unit then there 4 boys and they can be arranged in 4! ways.
Again 3 boys can be arranged among them selves in 3! ways.
Favorable outcomes = 3!4!
Required probability = 3!4!/6! = 1/5
A
The answer is: A | A |
mathematics | The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. one pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ? | [
"5",
"12",
"24",
"32",
"120"
]
| CONCEPT: The number of ways to arrange n elements around a circular Manner is (n-1)!.
But the number of ways to arrange n elements in circular manner where the arrangement can be flipped around (e.g. Necklace, Garland, Bracelet) = (n-1)!/2.
The pentagon in the problem above can be flipped over (Clockwise Arrangement of Sides = Counter-clockwise arrangement), the number of distinct ways to arrange the 5 sides = (5-1)!/2 = 5.
Answer: option A
The answer is: A | A |
mathematics | Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is | [
"11",
"12",
"13",
"14",
"15"
]
| 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)]
3/11 × [4/3 + 5/4 × ........ 121/120]
3/11 × 4/3 × 5/4 × .... 121/120
121/11 = 11.
A
The answer is: A | A |
mathematics | For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(106) – g(103)? | [
"100",
"99",
"98",
"102",
"104"
]
| g(106) = 1*3*5*7*9*...*99*101*103*105
g(103) = 1*3*5*7*9*...*99*101*103
g(106) - g(103) = 1*3*5*7*9*...*99*101*103*105 - 1*3*5*7*9*...*99*101*103 = 1*3*5*7*9*...*103*(105 - 1) = 1*3*5*7*9*...*99*101*103*104
hence:E
The answer is: E | E |
mathematics | If f(x) = 2*(x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)? | [
"f(x)",
"-2f(x)",
"1/f(x)",
"-1/f(x)",
"2*f(x)"
]
| f(1/x) = ((1/x)^4 - 1) / ((1/x)^2)
= ((1/x^4) - 1) / (1/x^2)
= ((1-x^4)/(x^4)) / (1/x^2)
= (1-x^4)/(x^2)
= - 2( (x^4) -1) / (x^2)
= -2*f(x)
Answer is B.
The answer is: B | B |
mathematics | Find the area of a cuboid of length 15cm , breadth 10 cm . and height 16cm. | [
"2400 cm cube",
"2410 cm cube",
"2420 cm cube",
"2430 cm cube",
"2480 cm cube"
]
| Area of a cuboid = lxbxh =15cm x 10cm x 16cm = 2400 cm cube
answer :A
The answer is: A | A |
mathematics | Three unbiased coins are tossed. What is the probability of getting at most two heads? | [
"9/7",
"7/8",
"1/2",
"5/4",
"3/8"
]
| Explanation:
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting at most two heads.
Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.
P(E)=n(E)/n(S)=7/8
Answer:B
The answer is: B | B |
mathematics | The duplicate ratio of 2:3 is? | [
"4:9",
"1:4",
"1:8",
"1:18",
"1:13"
]
| 2^2: 3^2 = 4:9
ANSWER:A
The answer is: A | A |
mathematics | Five friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 5-person seating arrangements are possible? | [
"72",
"90",
"120",
"140",
"180"
]
| The number of ways to arrange 5 people in a row is 5! = 120
From this we want to subtract all the arrangements where the two friends are next to each other. If we consider them as one unit, then the number of arrangements of this 2-person unit and the 3 other friends is 4! And the number of arrangements of the two friends within this unit are 2 because the two friends can switch places. So the total number of arrangements of the 5 friends with the 2-person unit together is 4!*2
The total number of permutations where these two friends are not seated next to each other is 5! - 4!*2 = 120 - 48 = 72
The answer is A.
The answer is: A | A |
mathematics | In a certain company, the ratio of male to female employees is 7:8. If 3 more men were hired, this ratio would increase to 8:9. How many male employees are there in the company? | [
"6",
"21",
"27",
"189",
"192"
]
| Another approach is to use TWO variables.
Let M = present number of males
Let F = present number of females
The ratio of male to female employees is 7:8
So, M/F = 7/8
Cross multiply to get 7F = 8M
If 3 more men were hired, this ratio would increase to 8:9
So, (M+3)/F = 8/9
Cross multiply to get 9(M+3) = 8F
Expand: 9M + 27 = 8F
We now have a system of two equations and two variables:
7F = 8M
9M + 27 = 8F
Solve to get: M = 189 and F = 216
ANSWER:D
The answer is: D | D |
mathematics | The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is | [
"12",
"16",
"24",
"48",
"50"
]
| Solution
Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
So, the numbers are 12 and 16.
L.C.M. of 12 and 16 = 48.
Answer D
The answer is: D | D |
mathematics | In a apartment, 30% of the people speak English, 20% speak Hindi and 14% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? | [
"1/35",
"2/35",
"9/25",
"12/19",
"3/17"
]
| P (E) = 30 / 100 , P (H) = 20 / 100 and P (E ∩ H) = 14 / 100 =
P (E or H) = P (E U H)
= P (E) + P (H) - P (E ∩ H)
= (30 / 100) + (20/100 - (14 / 100) = 36/100 = 9/25
C
The answer is: C | C |
mathematics | In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students? | [
"90%",
"58%",
"59%",
"50%",
"53%"
]
| Number of students passed
= 60% of 140 = 60/100 * 140 = 84
Number of students failed
= 140 - 84 = 56.
Required percentage
= 28/56 * 100 = 50%.
Answer:D
The answer is: D | D |
mathematics | 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres? | [
"30",
"39",
"60",
"Data inadequate",
"None of these"
]
| Capacity of the tank = 26 × 13.5= 351 litres
When the capacity of each bucket = 9 litres, then the required no. of buckets
= 351â„9 = 39
Answer B
The answer is: B | B |
mathematics | If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer m? | [
"(2m-2)/(m^2- m)",
"(2m-1)/(m^2- m)",
"(2m-1)/(m^4- m)",
"(3m-1)/(m^2- m)",
"(2m-1)"
]
| Let two consecutive positive integers be m and m-1 (Greater integer is m)
So,
(1/m) + [1/(m-1)]
= (2m-1)/m(m-1)
=(2m-1)/(m^2- m)
Answer : B
The answer is: B | B |
mathematics | Of the 4 numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is? | [
"36",
"40",
"48",
"52",
"56"
]
| Let the first number be x
sum of the 4 numbers = x+4x = 5x
5x/4 = 60
x = 60*4/5 = 48
Answer is C
The answer is: C | C |
mathematics | Mary and Mike enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $800 more than Mike did, what was the profit made by their business in that year? | [
"$2000",
"$6000",
"$4000",
"$1333",
"$3000"
]
| Explanatory Answer
Let the profit made during the year be $3x
Therefore, $x would have been shared equally and the remaining $2x would have been shared in the ratio 7 : 3.
i.e., 70% of 2x would go to Mary and 30% of 2x would go to Mike.
Hence, Mary would get (70 - 30)% of 2x more than Mike
Or 40% of 2x = $800
i.e.,(40/100)*2x = 800
or 2x = 2000.
Hence, the profit made by the company during the year $3x = $3000.
The correct choice is (E)
The answer is: E | E |
mathematics | If the probability that the Detroit Lions win the Super Bowl is 1/20 and the probability that the Detroit Tigers win the World Series is 1/6, what is the probability that either the Bears win the Super Bowl or the Cub win the World Series (but not both)? | [
"1/2",
"2/7",
"1/3",
"1/4",
"1/5"
]
| 19/20*1/6 + 1/20*5/6 = 24/120 = 1/5
The answer is E.
The answer is: E | E |
mathematics | A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed . | [
"30 km/hr",
"40 km/hr",
"55 km/hr",
"60 km/hr",
"70 km/hr"
]
| relative speed of trains = 220/10 mtrs/sec = 220*18/(10*5)= 79 km/hr
speed of 2nd train = 79-24=55 km/hr
ANSWER:C
The answer is: C | C |
mathematics | In how many ways the letters of the word RAIXBON be arranged? | [
"4367",
"5657",
"8756",
"5040",
"4345"
]
| Total ways of arranging the letters = 7! = 5040 ways.
D)
The answer is: D | D |
mathematics | A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes? | [
"40",
"45",
"50",
"90",
"2500"
]
| First recognize you only need to consider the first two digits (because the second two are just the first two flipped)
There are 90 possibilities for the first two digits of a 4 digit number, 10-99 inclusive. Everything starting with a 1,3,5,7,9 will be odd, which is 5/9ths of the combinations.
5/9*90 = 50
ANSWER:C
The answer is: C | C |
mathematics | A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent? | [
"2%",
"25%",
"22%",
"17.65%",
"45%"
]
| 850 --- 150
100 --- ? => 17.65%
Answer:D
The answer is: D | D |
mathematics | A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is? | [
"2 1/2 %",
"4%",
"5%",
"6 2/3 %",
"6%"
]
| S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40 Rate = (100 * 40)/(800 * 1) = 5%
ANSWER:C
The answer is: C | C |
mathematics | The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers? | [
"87",
"42",
"78",
"76",
"26"
]
| 5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 4200
x = 7 => 6x =42
Answer: B
The answer is: B | B |
mathematics | Two cards are selected at random from 10 cards numbered 1 to 10. Find the probability that the sum is odd if two cards are drawn together. | [
"11",
"88",
"77",
"19",
"17"
]
| Answer:C
The answer is: C | C |
mathematics | The edge of a cube is 2a cm. Find its surface? | [
"23a2 cm2",
"84a2 cm2",
"64a2 cm2",
"24a2 cm2",
"14a2 cm2"
]
| 6a2 = 6 * 2a * 2a = 24a2
Answer:D
The answer is: D | D |
mathematics | The value of a "Tin-Rin" stock in the stock market decreased by 15% in the last two years. The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago? | [
"$473.",
"$464.",
"$455.",
"$445",
"$430."
]
| Let the stock value was x.
x* 0.85 * 1.07= 440
x= 440/0.85*1.07= 490 (approximately)
A is the answer
The answer is: A | A |
mathematics | In a class of 20 students in an examination in Mathematics 2 students scored 100 Marks each, 3 get
zero each and the average of the rest was 40. What is the average Of the whole class? | [
"46",
"49",
"40",
"38",
"35"
]
| Total marks obtained by a class of 20 students
= 2 * 100 + 3 * 0 + 15 * 40
= 200 + 600 = 800
: Average marks of whole class = 800/20 = 40
Answer is C.
The answer is: C | C |
mathematics | In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N) | [
"L(L-N) / L-M",
"M+",
"L-N",
"M-N",
"L(N-M)/ L-M"
]
| For my work, i took the following numbers:
L = 100
M = 10
N =20.
So basically, L beat G by 10 meters. Now whatever options comes close to the figure 10 is the right ans..
looking the the opion C to E, one can make out that they are incorrect, leaving us with just two options..A and B.
Out of which, i choose E.
The answer is: E | E |
mathematics | A train is moving at a speed of 132 km/hr. If the length of the train is 200 meters, how long will it take to cross a railway platform 295 meters long | [
"6 ½ sec",
"7 ½ sec",
"8 sec",
"13 ½ sec",
"9 sec"
]
| Explanation:
Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (200 + 295) m = 495 m.
Time taken =495 ×(3/110) sec =27/2 sec = 13 ½ sec
Answer: Option D
The answer is: D | D |
mathematics | The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? | [
"75",
"28",
"279",
"271",
"27"
]
| Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.
P + C + M = 150 + P
C + M = 150
Average mark obtained by the student in Chemistry and Mathematics
= (C + M)/2 = 150/2 = 75.
Answer:A
The answer is: A | A |
mathematics | When 10 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number? | [
"3 : 4",
"4 : 1",
"3 : 2",
"Data inadequate",
"None of these"
]
| Let the first and the second numbers be x and y respect then
y + 10% of x = 140% of y
or, y + 0.1x = 1.4y
or, 0.1x = 0.4y
∴ x : y = 0.4 : 0.1 = 4 : 1
Answer B
The answer is: B | B |
mathematics | A tourist purchased a total of $1,300 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost? | [
"$1,430",
"$1,310",
"$1,290",
"$1,070",
"$1,150"
]
| since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks
Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3
using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost
Therfore 1300 - 230 = 1070 hence answer is D
The answer is: D | D |
mathematics | In X game of billiards, X can give Y 20 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 120? | [
"30",
"20",
"25",
"40",
"50"
]
| X scores 60 while Y score 40 and Z scores 30.
The number of points that Z scores when Y scores 120 = (120 * 30)/40 = 90.
In X game of 100 points, Y gives (120 - 90) =30 points to C.
A
The answer is: A | A |
mathematics | A nickel is placed flat on a table. What is the maximum number of nickels that can be placed
around it, flat on the table, with each one tangent to it? | [
"4",
"5",
"6",
"7",
"8"
]
| Connect the midpoints of the given nickel and two others placed around it so that
all three touch. This creates an equilateral triangle with 60 degree angles. Since 360=60 = 6,
six nickels can be placed around the given nickel.
correct answer C
The answer is: C | C |
mathematics | An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible? | [
"76",
"100",
"162",
"198",
"202"
]
| We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 6C2 = 60
2) 2 tech1 businessman: 4C2 x 6C1 = 36
3) 3 tech0 businessmen: 4C3 = 4
Total: 60+36+4 = 100
Answer: B
The answer is: B | B |
mathematics | How many divisions are there on the face of a clock? | [
"1",
"5",
"6",
"22",
"25"
]
| B
5
Any clock or watch except a digital watch, has a dial. On the circular border of the dial of a watch or clock there are the hour numbers from 1 to 12 at equal intervals. Between the two numbers there are 5 divisions.
The answer is: B | B |
mathematics | Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa. | [
"13/20",
"15/20",
"13/15",
"7/20",
"13/17"
]
| Half as manymeans half of EU, then
EU 40%
US 20%
AF 5%
the rest is 35%, answer D
The answer is: D | D |
mathematics | What is cost price of an article sold by a trader at 15% loss, given that the trader would have made a profit of 6% if he had sold it for $30 more? | [
"$576.19",
"$436.19",
"$476.19",
"$470.19",
"$276.19"
]
| Let C.P. be $x
Then 106% of x - 85% of x = 100
21% of x = 100
21/100 *X = 100
21x = 10000
x = 476.19
Answer is C
The answer is: C | C |
mathematics | If the day before yesterday was Thursday, when will Sunday be? | [
"Day after tomorrow",
"Tomorow",
"Two days after today",
"Today",
"None of these"
]
| Explanation :
Day before yesterday was Thursday
=>Yesterday was a Friday
=> Today is a Saturday
=> Tomorrow is a Sunday. Answer : Option B
The answer is: B | B |
mathematics | A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase? | [
"8",
"9",
"10",
"11",
"12"
]
| Let's start with 1 apple for $0.70.
Let's subtract $0.70 from $6.30 until we get a multiple of $0.60.
$6.30, $5.60, $4.90, $4.20 = 7*$0.60
The customer purchased 7 bananas and 3 apples.
The answer is C.
The answer is: C | C |
mathematics | The sale price sarees listed for Rs.298 after successive discount is 12% and 15% is? | [
"321",
"223",
"245",
"265",
"162"
]
| Explanation:
298*(88/100)*(85/100) = 223
Answer: B
The answer is: B | B |
mathematics | 7 people average age is 30. youngest person age is 5. find average of the people when youngest was born. | [
"23",
"24",
"25",
"26",
"27"
]
| average age of people =30
so have total age =210
before 7 years we have to deduct each person age by seven years 210-35=161
so average age would be 175/7=25
ANSWER:C
The answer is: C | C |
mathematics | A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? | [
"388",
"277",
"266",
"280",
"191"
]
| 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280
Answer: D
The answer is: D | D |
mathematics | A certain no. when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15? | [
"3",
"4",
"6",
"7",
"9"
]
| Explanation:
80 + 25 = 105/15 = 7 (Remainder)
D
The answer is: D | D |
mathematics | John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 2R miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John? | [
"2R",
"3R",
"4R",
"5R",
"6R"
]
| In 2 hours, John drove 2R miles.
Tom can catch John at a rate of 2R - R = R miles per hour.
The time it takes Tom to catch John is 2R / R = 2 hours.
In 2 hours, John can drive another 2R miles for a total of 4R miles.
The answer is C.
The answer is: C | C |
mathematics | Sid began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Sid? | [
"35",
"55",
"39",
"40",
"60"
]
| Carla starts 30 minutes later and it takes 3 hr for carla to meet Sid
So Sid total time travelled = 3hr + 30 minutes
Sid distance = 30 * (3 1/2) = 105
so carla need to travle 105 to meet Sid in 3 hrs
speed of carla = 105/3 = 35 miles per hour
Answer is A
The answer is: A | A |
mathematics | At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If there are 84 more penguins than sea lions at the zoo, how many sea lions are there? | [
"24",
"36",
"48",
"72",
"132"
]
| The ratio as mentioned = 4/11
also
sea lion + 84 = penguins
or,
4x+84=11x
x=84/7=12
number of sea lions= 12*4=48
ANSWER:C
The answer is: C | C |
mathematics | The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average? | [
"72",
"23",
"29",
"26",
"13"
]
| Sum of the marks for the 12 students
= 12 * 36 = 432.
The marks of each student are doubled, the sum also will be doubled.
The new sum = 432 * 2 = 864. So, the new average
= 864/12 = 72.
Answer: A
The answer is: A | A |
mathematics | Laura took out a charge account at the General Store and agreed to pay 9% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments? | [
"$2.10",
"$37.10",
"$37.16",
"$38.10",
"$38.15"
]
| Principal that is amount taken by Laura at year beginning = 35$
Rate of interest = 9%
Interest = (9/100)*35 = 3.15$
Total amount that Laura owes a year later = 35+3.15 = 38.15 $
Answer E
The answer is: E | E |
mathematics | Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 10 laps around the track per hour and Nick completes 5 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick? | [
"5",
"48",
"12",
"15",
"20"
]
| Maria's rate - 10 laps per hour --> 10/60 laps/min
Nick's rate - 5 laps per hour --> 5/60 laps/min
lets set equations:
10/60*t=4 (since Maria had to run 4 laps before Nick would start)
5/60*t=0 (Hick has just started and hasn't run any lap yet)
(10/60-5/60)*t=4-0 (since Nick was chasing Maria)
t=48 min needed Maria to run 4 laps
Answer : B
The answer is: B | B |
mathematics | Three interviewers, A, B, and C are interviewing 30 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 10 applicants, B admitted 12 applicants, and C admitted 15 applicants, at least how many applicants get the admission? | [
"6",
"2",
"0",
"8",
"12"
]
| If A admitted 10 are overlapping with B admission of 12 But C does not overlap with anybody.
Then no student will get nod from all the 3.
Hence 0 student will get admission.
Answer : C
The answer is: C | C |
mathematics | A train passes a station platform in 38 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? | [
"248 m",
"240 m",
"270 m",
"765 m",
"176 m"
]
| Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/38 = 15 ==> x + 300 = 570 ==> x
= 270 m.
Answer: C
The answer is: C | C |
mathematics | In a mixture of 60 litres the ratio of milk to water is 5:1. Additional 20 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture. | [
"2:3",
"5:3",
"1:4",
"3:2",
"3:1"
]
| Given that Milk/Water=5x/x and 5x+x=60 --> x=10.
Thus Milk=5x=50 liters and Water=x=10 liters.
New ratio = 50/(20+10) = 50/30 = 5/3.
Answer is B
The answer is: B | B |
mathematics | This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3q/y is a prime integer greater than 2, which of the following must be true?
I. q = y
II. y = 1
III. q and y are prime integers. | [
"None",
"I only",
"II only",
"III only",
"I and III"
]
| 3q/y and if q=y then ans is 3 and 3 is prime number, which is greater than 2. so ans must be B. Please post OA.
The answer is: A | A |
mathematics | If a is an odd integer and b is an even integer which of the following must be an integer : | [
"a/b",
"ab",
"2a+b",
"2(a+b)",
"option B C and D"
]
| a= odd = e.g 3
b=even = e.g 6
A. odd/even for example 3/6 = 0.5 no even no odd
B. odd * even = 3 * 6 = 18 even
C. 2*odd + even = even + even even
D. 2(even + odd) = 2(odd) even
Hence E it is.
The answer is: E | E |
mathematics | What is the product of the greatest 2 digit multiple of 13 and the greatest 2 digit prime number? | [
"9,312",
"9,408",
"9,506",
"8,827",
"9,702"
]
| the greatest 2 digit multiple of 13: 91
the greatest 2 digit prime numebr: 97
97*91.
8827
D
The answer is: D | D |
mathematics | The rate of failure in an examination is 39.25%. Find the least number of total candidates appeared in the examination. | [
"100",
"200",
"300",
"400",
"500"
]
| if 100 student appear then failure=39.25 ......... which is not possible because number of student can not be fraction,like wise in 200 student,failure=78.5, so we have to make the failure percentage into a unit digit failure not fraction...so min no of student =400 so that no of failure=157..........so least no of student appeared in the exam= 400.
ANSWER:D
The answer is: D | D |
mathematics | If the charge of staying in a student youth hostel $18.00/day for the first week, and $15.00/day for each additional week, How much does it cost to stay for 23 days? | [
"$336",
"$289",
"$282",
"$274",
"$286"
]
| Total number of days of stay = 23
Charge of staying in first week = 18*7 = 126 $
Charge of staying for additional days =(23-7)*15 = 16*15 = 240 $
Total charge =126 +240 = 366$
Answer A
The answer is: A | A |
mathematics | Which of the following is closest to (5!-4!)/(5!+4!)? | [
"0.01",
"0.1",
"0.2",
"0.7",
"10"
]
| (5!-4!)/(5!+4!)
4! (5-1)/4! (5+1)
4/6 = 2/3 =0.7 (approximately)
D is the answer
The answer is: D | D |
mathematics | The S.I. on a certain sum of money for 6 years at 14% per annum is half the C.I. on Rs. 7000 for 2 years at 7% per annum. The sum placed on S.I. is? | [
"603.75",
"555.75",
"569.55",
"256.25",
"563.23"
]
| C.I. = [7000 * (1 + 7/100)2 - 7000]
= (7000 * 11/10 * 11/10 - 7000) = Rs. 1014.3.
Sum = (507.15 * 100)/(6 * 14)
= Rs.603.75
Answer:A
The answer is: A | A |
mathematics | What do you get if you add 7 to 290 three times? | [
"305",
"296",
"289",
"297",
"309"
]
| D
297 , 297 , 297
The answer is: D | D |
mathematics | The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour? | [
"60",
"61.2",
"3240",
"3,600",
"3,672"
]
| moon revolves around the earth at a speed of 1.02kilometers per second.
one hour equal to 60 minutes.
one minute equals to 60 seconds. so one hour equals to 3600seconds.
so one hour, speed= 0.9*3600=3240kilometers per hour.
Option C is correct
The answer is: C | C |
mathematics | Find the missing number in the given sequence : 1,4,7,?,13,16,? | [
"10 & 19",
"8 & 17",
"9 & 18",
"11 & 20",
"12 & 21"
]
| 1+3=4
4+3=7
7+3=10
10+3=13
13+3=16
16+3=19
ANSWER:A
The answer is: A | A |
mathematics | In how many ways can the letters of the word RAVES be arranged in a row so that the vowels appear in alphabetic order? | [
"60",
"30",
"120",
"240",
"90"
]
| Two letters can be arranged in 2! ways.
only one combination EIU is required.
5 letters can be arranged in 5! ways.
thus 5!/ 2! * 1 = 60.
A
The answer is: A | A |
mathematics | For a drama, Jack need to select 5 dramatist from a team of 8 members. What is the possible way to select dramatist? | [
"60",
"56",
"48",
"25",
"10"
]
| The question is out of 8 members, john needs 5 members.
So the combination is 8C5.
8C5=8!/3!*5!
=8*7*6*5!/5!*3*2*1
=56 ways to select.
Option B is answer
The answer is: B | B |
mathematics | In how many ways can 6 boys and 3 girls sit around a table in such a way that no two girls sit together? | [
"10000",
"14000",
"14400",
"18000",
"19000"
]
| The 6 boys can be seated around a table in 5! Ways. In between them there are 6 places.
The 3 girls can be placed in the 6 places in 6P3 ways.
Therefore, Required number of ways= 5!* 6P3
=120*120
=14400
ANSWER:C
The answer is: C | C |
mathematics | the price of a maruti car rises by 30% while the sales of the car came down by 20%. what is the percent change in the total revenue? | [
"-4",
"4",
"-2",
"0",
"none of these"
]
| Assume that price is 100 and sales are also 100. Total revenue is 100*100=10000(100%). Now price increased by 30%. So new price is 130. Similarly new sales are 80. Now revenue is 130*80=10400(104%)= So total change is 4%
ANSWER:B
The answer is: B | B |
mathematics | At the opening of a trading day at a certain stock exchange, the price per share of stock K was $28. If the price per share of stock K was $29 at the closing of the day, what was the percent increase in the price per share of stock K for that day? | [
"3.57%",
"5.9%",
"11.1%",
"12.5%",
"23.6%"
]
| Opening = 28
Closing = 29
Rise in price = 1
So, percent increase = 1/28*100 = 3.57
Answer : A
The answer is: A | A |
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