RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time, how many books of the special collection were loaned out during that month?
A.20
B.30
C.35
D.40
Answer: B.30
Explanation: there are 6 books less(75-69) which represents 20% of the loaned books (100-80)
So total loaned out books = 30
Answer B
Question: Let y = 2m + x^2 and m = 5x + 5. If m^2 =100, then which of the following can be a value of 2y + 3m?
A.83
B.63
C.93
D.73
Answer: C.93
Explanation: m^2 = 100 => m=10
10= 5x+5 => x=1
y= 2*10+1^2 = 21
2y+3m = 2*21+3*10 = 93
Answer : C
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 3?
A.1/4
B.1/18
C.2/11
D.3/13
Answer: B.1/18
Explanation: n(S) = 6*6 = 36
E = {(1,2),(2,1)}
Probability = 2/36 = 1/18
Answer is B
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
A.3 minutes
B.4 minutes
C.10 minutes
D.6 minutes
Answer: C.10 minutes
Explanation: Rate = Work / Time
Given Rate of Machine A = X / 10 min
Machine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .
Rate of Machine B = 2x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = X / 10 min + Rate of Machine B = 2x / 10 = 3X/10
Now combine Time = combine work needs to be done / Combine Rate = 3x/3x * 10 = 10 Min
Ans: C
Question: If y exceeds x by 20%, then x is less than y by?
A.16 2/9%
B.16 3/3%
C.16 2/3%
D.12 2/3%
Answer: C.16 2/3%
Explanation: X=100	y=120
120------20
100-------? => 16 2/3%
Answer:C
Question: The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son ?
A.19 years
B.9 years
C.10 years
D.15 years
Answer: B.9 years
Explanation: Suppose x years later the father will be twice as old as his son.
x + 41 = 2 (x + 16)
x = 41 - 32 = 9 years
answer : B
Question: The probability of having a girl is identical to the probability of having a boy. In a family with six children, what is the probability that all the children are of the same gender?
A.1/32
B.1/9
C.1/16
D.1/25
Answer: A.1/32
Explanation: There are two cases. All boys and all girls
case 1. all boys.
1/2*1/2*1/2*1/2*1/2*1/2= 1/64
case 2 .all girls.
1/2*1/2*1/2*1/2*1/2*1/2=1/64
We will add the cases to get 1/32
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A.Rs. 258
B.Rs. 270
C.Rs. 277.5
D.Rs. 285
Answer: D.Rs. 285
Explanation: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = Rs. 285.
ANSWER:D
Question: 3897 x 999 = ?
A.3883203
B.3893103
C.3639403
D.3791203
Answer: B.3893103
Explanation: =3897 x 999
=3897 x (1000 - 1)
=3897 x 1000 - 3897 x 1
=3897000 - 3897
=3893103
Answer is B
Question: A can complete a task in 12 days. B can complete the task in 18 days. If A and B work on this same task in alternate days starting with A, in how many days do they finish the entire task?
A.10.8 days
B.14.33 days
C.11 days
D.8.4 days
Answer: B.14.33 days
Explanation: DETAILED SOLUTION
A can complete a task in 12 days and B can complete the task in 18 days. So,
In one day, A can do 1/12, in one day B can do 1/18.
In two days, they can complete 1/12 + 1/18 = which is 5/36.
In 4 days, they can finish 10/36, and so on.
We can have 7 such sets of 2days each.
So, at the end of 14 days, they would have done 35/36 of task.
On the 15th day A would begin work with 1/36of the task to finish. He can finish 1/12 in a day. So, he would take one-third of a day. So, they can finish the whole task in 14.33 days.
CORRECT ANSWER B
Question: How many figures are required for numbering the pages of a book containing 1000 pages?
A.6489
B.3892
C.2893
D.2883
Answer: C.2893
Explanation: 1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 999 = 900 * 3 =2700
1000 = 4
-----------
2893
ANSWER:C
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
A.4
B.6
C.8
D.10
Answer: D.10
Explanation: Sol.
P.W. = Rs. (1760 - 160) = Rs. 1600
∴ S.I. on Rs.1600 at 12% is Rs. 160.
∴ Time = [100 * 160 / 1600 * 12] = 5/6 years = [5/6 * 12] months = 10 months.
Answer D
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 8, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
A.I only
B.II only
C.III only
D.I and III only
Answer: C.III only
Explanation: C
for 7 we will have mean as 7.16(approx) and median as 7 but for 3 we will have mean and median = 6.5 and for 12 we will have median and mean =8
Question: Tough and Tricky questions: Exponents.
If 5^(x+1)*4^(y-1) = 25^x*64^y, then x + y =
A.3/2
B.-1/2
C.-1
D.1/2
Answer: D.1/2
Explanation: Here is my solution.
5^(x+1)*4^(y-1) = 25^x*64^y
Here RHS 25^x*64^y= 5^(2x)*4^(3y)
Equating powers on both sides-->
x+1=2x , thus x=1 and
2y-1=3y giving y=-1/2
So, x+y=1/2
Option: D
Question: A cave is going to explode. A family is trapped inside that cave. The only way to get outside is a narrow tunnel. But the tunnel is weak and thus only two people can go at one time. Also, everybody is afraid of going alone.
The father takes one minute to go through till the end, the mother takes two, the son takes four and the daughter takes five. The cave and tunnel will explode in twelve minutes. Can they make it to the other end in that time frame?
PS: Keep in mind that when two people are moving, the total time taken will be as per the slower one.
A.10 minutes
B.12 minutes
C.18 minutes
D.19 minutes
Answer: B.12 minutes
Explanation: B
12 minutes
Explanation:
Yes, surely they can all make it out of the cave.
First, father and mother will go. Time taken = 2 minutes.
Father comes back. Time taken = 2 + 1 = 3 minutes.
Both children go. Time taken = 3 + 5 = 8 minutes.
Mother comes back. Time taken = 8 + 2 = 10 minutes.
Mother and Father go. Time taken = 10 + 2 = 12 minutes.
Thus in 12 minutes, all of them will be out of the cave through the tunnel.
Question: 11 + 12 + 13 + ... 51 + 52 + 53 = ?
A.1361
B.1376
C.1363
D.1364
Answer: B.1376
Explanation: Sum = 11 + 12 + 13 + ... 51 + 52 + 53
Sum of n consecutive positive integers starting from 1 is given as n(n+1)/2
Sum of first 53 positive integers = 53*54/2
Sum of first 10 positive integers = 11*10/2
Sum = 11 + 12 + 13 + ... 51 + 52 + 53 = 53*54/2 - 11*10/2 = 1376
Answer : B
Question: A man can row downstream at 20 kmph and upstream at 12 kmph. Find the speed of the man in still water and the speed of stream respectively?
A.13, 3
B.12, 6
C.16, 4
D.14, 4
Answer: C.16, 4
Explanation: Explanation:
Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 20--- (1)
and x - y = 12 --- (2)
From (1) & (2) 2x = 32 => x = 16, y = 4.
Answer: Option C
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
A.68.8
B.28.7
C.28.1
D.28.8
Answer: D.28.8
Explanation: Present age of the son be P, he was born P years ago.
The age of the man was: (48 - P).
His age when the son was born should be equal to 2/3 of P.
(48 - P) = 2/3 P
5P = 144 => P = 28.8
Answer:D
Question: If a certain number is divided by 2, the quotient, dividend, and divisor, added together, will amount to 62. What is the number?
A.18
B.28
C.40
D.38
Answer: C.40
Explanation: Let x = the number sought.
Then x/2 + x + 2 = 62.
x = 40.
C
Question: A zinc-copper alloy with 2 kg of pure zinc would contain 90% of zinc. The alloy with 1 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
A.2.4 kg or 80%
B.1.4 kg or 88%
C.1.9 kg or 94.2%
D.7.4 kg or 18%
Answer: C.1.9 kg or 94.2%
Explanation: Right Answer Explanation:
x : 2
y : 100
90
10 : 90 – y
(90-y)/2 = 10/x = ………..(1)
In the second case,
x 1
y 90
84
6 84-y
Therefore (84-y)/1 = 6/x ………..(2)
Dividing (1) and (2)
=
180 – 3y =840 – 10y
7y = 660
y = 94.2
x = 20/(90-80) = 20/10 = 2 kg
Quantity of zinc in x = 94.2% of x
= 0.942 2
=1.9 kg
Weight and percentage of zinc is 1.9 kg or 94.2%
C
Question: When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter)
A.0.82
B.4.1
C.8.2
D.11.8
Answer: C.8.2
Explanation: 0.1 Centimetre = 1 millimetre
1 cm = 10 mm
49.2 cm = 49.2 * 10 mm = 492 mm
Objects are magnified by factor of 120.
Original radius = 492/120= ~4.1
Diameter = 4.1 * 2 = 8.2
Ans C.
Question: A man can hit a target once in 6 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
A.71/234
B.81/133
C.81/343
D.27/56
Answer: D.27/56
Explanation: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.
So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.
The event of not hitting the target even once is the complement of the event of hitting the target at least once.
The probability that he will not hit the target in any given shot = 1 - 1/6 = 5/6
Therefore, the probability that he will not hit the target in any of the four shots = 5/6^4 =27/56
D
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A.6
B.9
C.8
D.3
Answer: A.6
Explanation: S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + 35/(x - 1) = 12
x = 6
Answer: A
Question: P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
A.2/13
B.3/17
C.8/15
D.9/21
Answer: C.8/15
Explanation: Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15
C
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 18 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
A.8
B.9
C.10
D.11
Answer: C.10
Explanation: Let the number of papers be x. Then,
63x + 18 + 2 = 65x
= 2x = 20
= x = 10.
ANSWER:C
Question: A certain series is defined by the following recursive rule: Sm=K(Sm-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
A.ROOT 2
B.ROOT 3
C.64*ROOT 3
D.64*3^1/3
Answer: D.64*3^1/3
Explanation: Ans...D
No need for any GP formula here
The rule is that mth term is K times the (m-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Question: A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?
A.16.665
B.16.565
C.15.465
D.14.365
Answer: D.14.365
Explanation: Explanation :
Smaller triangle and original triangle will be similar to each other.
Ratio of area= (ratio of side)2
Area of smaller triangle = area of original triangle *(65/100)2
= 14.365.
Answer : D
Question: In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders in that company?
A.7
B.36
C.5
D.8
Answer: B.36
Explanation: on the basis of question
x = 5y+1
x = 6(y-1)
on solving these 2 equations x = 36
ANSWER:B
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 8 months?
A. 2^3
B. 3^2
C. 2(3^10)
D. 3(2^8)
Answer: D. 3(2^8)
Explanation: 3*2^n where n is the #of month --> 3*2^8 Answer (D)
Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?
A. 7%
B. 14%
C. 21%
D. 28%
Answer: C. 21%
Explanation: Possible Sitting position is 7! = 120
Sam and Tom standing next to each other is 7 Combination 2
=7!/2!(7-2)!
=5040/2(120)
=5040/240
= 21
Answer = C
Question: A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 47 grams of protein daily, how many grams of food X are in the mixture?
A.240
B.260
C.280
D.300
Answer: B.260
Explanation: Let x be the number of grams of food X in the mixture.
0.1x + 0.15(400-x) = 47
0.05x = 13
x = 260
The answer is B.
Question: David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
A.3/5
B.2/5
C.4/5
D.1/5
Answer: B.2/5
Explanation: First notice the number of months for which he worked - March to Sept i.e. 7 months
Avg of monthly totals in tips for months other than August = x
Tips in August = 4x
Total tips for all months = 6*x + 4x = 10x
Tips for August/Total tips for all months = 4x/10x = 2/5
Answer : B
Question: If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number?
A.47
B.48
C.49
D.50
Answer: B.48
Explanation: Solution
Let x = the number sought.
Then x/12 + x + 12 = 64.
And x - 624/13 = 48.
Answer B
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
A.7 : 9
B.7 : 6
C.7 : 0
D.7 : 2
Answer: B.7 : 6
Explanation: Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6
Answer:B
Question: What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
A.60.
B.85.
C.125
D.225
Answer: D.225
Explanation: Irrespective of the values of x and y, we can find the length of one side of the square = distance between (20,20) and
(20,5) = 15.
Area = 15^2 = 225.
ANSWER:D
Question: A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A.10(5/7)kmph
B.21(2/3) kmph
C.13 (5/7)kmph
D.15 (5/7)kmph
Answer: C.13 (5/7)kmph
Explanation: Let the total distance be x km
total time taken = (x/4)/6 + (3x/4)/24 = x/24 + x/32 = 7x/96
Average speed = x/(7x/96) = 96/7kmph = 13 (5/7)kmph.
ANSWER:C
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
A.2
B.7
C.9
D.11
Answer: C.9
Explanation: 221 + 43 = 264/17 = 9 (Remainder)
C
Question: A, B and C can do a piece of work in 6 days, 12 days and 30 days respectively. How long will they taken, if all the three work together?
A.3 9/17
B.4
C.5
D.67
Answer: A.3 9/17
Explanation: 1/6 + 1/12 + 1/30 = 17/60 => 60/17 => 3 9/17 days
Answer:A
Question: If Rs 1050 is divided into three parts, proportional to (1 / 3) : (3 / 4) : ( 4 / 6), then what is the first part?
A.238
B.2767
C.200
D.288
Answer: C.200
Explanation: Given:
1050 =	1	:	3	:	4
3	4	6
1) L.C.M. of 3, 4 and 6 is 12
Therefore, multiply numerator and denominator of (1/3) with 4, to obtain denominator 12. Similarly multiply (3/4) with 3 and (4/6) with 2
4	:	9	:	8	= 4 : 9 : 8
12	12	12
2) If a number a is divided in three ratios x : y : z,
First Part:	ax	------- (a is the number divided)
(x + y + z)
Therefore,
First Part:	(1050 x 4)	= 200
(4 + 9 + 8)
Correct option :C
Question: A man buys a cycle for Rs. 1800 and sells it at a loss of 10%. What is the selling price of the cycle?
A.1410
B.1620
C.1430
D.1440
Answer: B.1620
Explanation: S.P. = 90% of Rs. 1800 = 90/100 x1800= Rs. 1620
answer : B
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > 0 or y > x?
A.5/8
B.1/6
C.3/8
D.1/2
Answer: A.5/8
Explanation: The line y=x divides the circle into two equal areas.
All the points above the line y=x satisfy the condition that y > x.
All the points above the x-axis satisfy the condition that y > 0.
The union of these two areas is 5/8 of the circle.
The answer is A.
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:
A.5
B.7
C.9
D.10
Answer: D.10
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
Answer: Option D
Question: What is the largest 4 digit number exactly divisible by 88
A.9900
B.9999
C.9988
D.9944
Answer: D.9944
Explanation: Explanation:
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
Option D
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm?
A.5600
B.6000
C.1185
D.7200
Answer: C.1185
Explanation: Number of bricks =Volume of the wall/Volume of 1 brick =	(400 x 200 x 25)/(25 x 11.25 x 6) = 1185.
Answer: Option C
Question: The mean of 40 observations was 36. It was found later that an observation 34 was wrongly taken as 20. The corrected new mean is
A.76.55
B.36.35
C.46.15
D.16.05
Answer: B.36.35
Explanation: Explanation:
Correct Sum = (36 * 40 + 34 - 20) = 1454
Correct mean = = 1454/40 = 36.35
Answer: B
Question: The average of three numbers is 29. The average of two of these numbers is 38. What is the third number?
A.10
B.14
C.11
D.17
Answer: C.11
Explanation: C
11
3 numbers 29 x 3 = 87 total
2 numbers 38 x 2 = 76 total
The third number must therefore be 87 - 76 = 11.
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 3, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
A.1/9
B.2/9
C.1/6
D.1/18
Answer: B.2/9
Explanation: There are 3*3 = 9 possibilities.
Bob has 2 chances so the probability is 2/9.
The answer is B.
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
A.3!
B.8!
C.7!
D.9!
Answer: B.8!
Explanation: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Question: If an integer n is to be selected at random from 1 to 900, inclusive, what is probability n(n+1) will be divisible by 9?
A.1/9
B.1/3
C.1/2
D.2/9
Answer: D.2/9
Explanation: For n(n+1) to be a multiple of 9, either n or n+1 has to be a multiple of 9.
Thus n must be of the form 9k or 9k-1.
The probability is 2/9.
The answer is D.
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
A.12890
B.12890
C.15800
D.12800
Answer: D.12800
Explanation: Let the monthly salary of Aamir be Rs. x.
68% of x = 27200
=> x = (27200 * 100)/68 = 40000
His savings = 32/100 * 40000 = 12800.
Answer:D
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.7 1/6 sec
B.7 3/2 sec
C.7 1/7 sec
D.7 1/2 sec
Answer: D.7 1/2 sec
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer:D
Question: Evaluate: 45 - 12*3*2 = ?
A.62
B.52
C.37
D.12
Answer: C.37
Explanation: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
45 - 12*3*2 = 45 - 8 = 37
correct answer C
Question: In a race where 8 cars are running, the chance that car X will win is 1/2, that Y will win is 1/4 and that Z will win is 1/3. Assuming that a dead heat is impossible, find the chance that one of them will win.
A.1/140
B.11/12
C.14/8
D.13/12
Answer: D.13/12
Explanation: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).
= 1/2 + 1/4 + 1/3
= 13/12
ANSWER:D
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
A.987
B.247
C.150
D.267
Answer: C.150
Explanation: 1/2 * 15 * 20
= 150
Answer:C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.76
B.50
C.88
D.12
Answer: B.50
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.Answer: B
Question: Marie earns $16 per hour for overtime hours. She worked 8 hours overtime last week
and 6 hours overtime this week. Which expression could be used to find Marie’s overtime pay for
the two-week period?
A.$16 8 6
B.$16(8 6)
C.8(6) $16
D.6($16 8)
Answer: B.$16(8 6)
Explanation: You’re right if you chose (2) $16(8 6). In this expression, $16 (the overtime hourly wage) is
multiplied by the sum of 8 and 6 (the total overtime hours worked).
There is another way to work the problem. You could find the overtime pay for each week and
add: $16(8) $16(6). Both choice (2) and this expression yield the same result. Both are correct.
$16(8 6) $16(14) $224 $16(8) $16(6) $128 $96 $224
correct answer B
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?
A.12
B.14
C.15
D.21
Answer: B.14
Explanation: We basically need 5,5,3,7 and 7 in the number.
14!, has 3, 5, 7, 10, 14
now 10 = 2 x5
14 = 2x 7
cross check:
K! = 3675 * M (M is a positive integer)
K! = 3 * 5 * 5 * 7 * 7
14! has all the numbers above.. therefore B..!
ANSWER:B
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A.A)63kmph
B.B)63kmph
C.C)25kmph
D.D)62kmph
Answer: C.C)25kmph
Explanation: Explanation:
M = 20
S = 5
DS = 20 + 5 = 25
Answer: Option C