antoine-444/aqua_rat_dataset huggingface dataset:
Question: If the rectangular screen of a computer monitor is designed to have a length of x inches, a perimeter of P inches and an area of A square inches, which of these equations must be true?
Choices:
x^2 - Px - 2A = 0
2x^2 + Px + 2A = 0
2x^2 - Px - 2A = 0
2x^2 - Px + 2A = 0
Answer: D
Question: In a class of 50 students, 20 play Golf, 15 play Cricket and 11 play Football. 7 play both Golf and Cricket, 4 play Cricket and Football and 5 play Golf and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Choices:
12
35
10
77
Answer: C
Question: A family made a down payment of $75 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 23 monthly payments of $20 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
Choices:
10.3%
13%
11%
10%
Answer: A
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 324 votes. Find the number of votes casted to the winning candidate?
Choices:
837
912
1200
1400
Answer: A
Question: A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
Choices:
$1,200
$1,400
$1,800
$2,200
Answer: B
Question: When positive integer N is divided by positive integer J, the remainder is 10. If N/J = 134.08, what is value of J?
Choices:
125
78
112
175
Answer: A
Question: A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1995. She ended on her
Choices:
b) the index finger
c) the middle finger
d) the ring finger
e) the little finger
Answer: B
Question: if samaira wallet have 10rs. note,50 rs. note,2000 rs.note.if 10rs. is 3/5 part of his money and 50rs. is 1/5 part of his money.if he has 8000 money consist of 2000 rs.calculate total money in samaira wallet?
Choices:
32000
30000
40000
35000
Answer: C
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:2
9:9
9:3
Answer: A
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number Q of ways this can be done is:
Choices:
210
216
217
225
Answer: B
Question: A corporation paid $7 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million in profits?
Choices:
14%
20%
23%
43%
Answer: D
Question: Two airplanes, one from Atlanta to New York and the other from New York to Atlanta, start simultaneously. After they meet, the airplanes reach their destinations after 16 hours and 4 hours respectively The ratio of their speeds is
Choices:
4 : 3
4 : 2
1 : 2
None
Answer: B
Question: If the roots of a quadratic equation are 20 and -7, then find the equation?
Choices:
x2 - 12x - 50 = 0
x2 - 13x - 140 = 0
x2 - 4x - 40 = 0
x2 - 23x - 150 = 0
Answer: B
Question: Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/5, what is the ratio of rectangle A’s area to rectangle B’s area?
Choices:
9/5
9/25
3/5
25/9
Answer: B
Question: The third proportional to 3 and 6 is?
Choices:
7
12
5
3
Answer: B
Question: At what rate percent of simple interest will a sum of money double itself in 12 years?
Choices:
8 1/3
8 1/0
8 1/2
8 1/1
Answer: A
Question: Let A be the event that a randomly selected two digit number is divisible by 10 and let B be the event that a randomly selected two digit number is divisible by 5. What is P(A and B)?
Choices:
1/50
1/15
1/10
1/5
Answer: A
Question: Mr. John invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Mr. John invest in Fund A?
Choices:
$36,000
$40,000
$41,000
$42,000
Answer: D
Question: Out of 15 students in a class, 9 are wearing blue shirts, 3 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
Choices:
38/71
48/81
58/91
68/101
Answer: C
Question: Find the simple interest on Rs. 68,000 at 16 2/3% per annum for 9 months.
Choices:
Rs.8500
Rs.7500
Rs.7000
Rs.6500
Answer: A
Question: Which of the following numbers is divisible by 8?
Choices:
17511
26778
18520
26711
Answer: C
Question: At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $60,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?
Choices:
$28,000
$32,000
$36,000
$40,000
Answer: C
Question: Mike took a bus from home to market, that travels at 30 kmph. While walking back at 6 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph. Find the average speed.
Choices:
21.2 kmph
23.4 kmph
20.4 kmph
none of these
Answer: A
Question: If the speed of X meters per hour is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
0.01X
0.001X
0.0001X
0.005X
Answer: B
Question: A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 2 miles per hour, how many miles did the car travel in the third 5-minute interval?
Choices:
1.0
2.0
2.5
3.0
Answer: A
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration W of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Choices:
40 m2
50 m2
60 m2
80 m2
Answer: C
Question: David obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
69
72
75
None of these
Answer: C
Question: x and y are positive integers of V. If 1/x + 1/y < 2, which of the following must be true?
Choices:
xy>1
x/y + y/x < 1
(x - y)^2 > 0
None of the above
Answer: A
Question: What is the sum of 100 consecutive integers from -49 inclusive, in a increasing order?
Choices:
50
-30
30
60
Answer: A
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $550. How many green hats did we buy?
Choices:
B)40
C)41
D)42
E)44
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choices:
1 / 4
1 / 5
1 / 7
None
Answer: B
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Choices:
700
720
760
660
Answer: A
Question: Suppose you want to buy three loaves of bread that cost $0.75 each
and a jar of peanut butter that costs $7. A jar of jelly is $2.75, but you
donâ€™t need any jelly. You have $17. How much money will you have left
over?
Choices:
$7.75
$3.50
$4.50
$5.50
Answer: A
Question: For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven terms of sequence F is between:
Choices:
29 and 30
30 and 31
31 and 32
32 and 33
Answer: B
Question: Nobel buys an old car for $1000 and spends $1000 on its repairs. If he sells the scooter for $2500, his gain percent is?
Choices:
15%
25%
20%
30%
Answer: B
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 5 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
Rs.1978.25
Rs.1332.5
Rs.1678
Rs.1675.55
Answer: B
Question: An employee’s annual salary was increased $25,000. If her new annual salary now equals $90,000, what was the percent increase?
Choices:
162⁄3%
20%
38.46%
24%
Answer: C
Question: What is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?
Choices:
34
20
35
342
Answer: A
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 2.3 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
2.0
3.0
3.5
4.0
Answer: A
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 128 more girls than boys, how many boys are there?
Choices:
36
45
72
80
Answer: D
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50
77
55
22
Answer: A
Question: Find the largest 4 digit number which isexactly divisible by 88?
Choices:
8900
9944
9976
10000
Answer: B
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time ,the rate of interest being the same ?
Choices:
Rs. 10.40
15.20
Rs. 13
None of these
Answer: A
Question: If X,Y and Z are three consecutive multiples of 5. Then which of the following will the factor of X*Y*Z
1) 125
2) 250
3) 375
4) 750
Choices:
1,2
1,3
1,2,3
All of them
Answer: D
Question: 2056 x 987 = ?
Choices:
2029272
1896172
1926172
1956231
Answer: A
Question: A watch was sold at a loss of 46%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
280
279
277
290
Answer: A
Question: ABCD is a square where AB =√2016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD.
Choices:
2002
1008
2016
3000
Answer: B
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2879
2686
2996
Answer: A
Question: Two taps A and B can fill a tank in 5 hours and 20hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
Choices:
36 hr
18 hr
42 hr
30 hr
Answer: A
Question: A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?
Choices:
x > y + 10
x > y – 10
x = y + 10
x = y – 10
Answer: C
Question: Peter will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: If k > 0, x + 2k = y, and y + 3k = z, what is the ratio between z - x and y - x ?
Choices:
3 to 2
4 to 1
5 to 1
5 to 2
Answer: D
Question: A man can row with a speed of 5 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
B)63kmph
C)10kmph
D)62kmph
E)74kmph
Answer: B
Question: A train 640 meters long is running with a speed of 64 kmph. The time taken by it to cross a tunnel 140 meters long is?
Choices:
44 sec
48 sec
16 sec
17 sec
Answer: A
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $120 ?
Choices:
$2
$3
$4
$5
Answer: C
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
10 sec
18 sec
16 sec
12 sec
Answer: A
Question: r=2^(n+1), then in terms of r, 9^n=
Choices:
r^2/9
r^2/4
r/3
r
Answer: B
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: On a sum of money, the S.I. for 2 years is $660, while the C.I. is $693, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
10%
72%
14%
82%
Answer: A
Question: Two cubes of their volumes in the ratio 8 : 125. The ratio of their surface area is:
Choices:
2:5
3:5
1:5
4:5
Answer: A
Question: The compounded ratio of (2:3), (6:11) and (11:2) is
Choices:
2 : 1
36 : 121
11 : 24
None
Answer: A
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/5 of the remaining balance, what will be the final balance in her bank account?
Choices:
360
400
500
575
Answer: A
Question: If each year the population of the country grows by 20%, how many years will elapse before the population of the country doubles?
Choices:
4
5
6
7
Answer: A
Question: A man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road. He takes 12 hours to ride motorcycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 12 hours? He must return back to base point A in remaining time.
Choices:
900
800
400
1200
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A. 31/32 B. 1/16
Choices:
31/32
31/25
31/17
31/13
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: the average distance between the sun and a certain planet is approximatly 2.1 10^15 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Choices:
5.4 x(10)^10
7.4 x(10)^10
2.4 x(10)^10
3.4 x(10)^10
Answer: A
Question: 597**6 is divisible by both 3 and 11. The non-zero digits in the Hundred’s and ten’s places are respectively:
Choices:
3 and 6
2 and 6
4 and 7
None
Answer: A
Question: Andy solves problems 78 to 125 inclusive in a Math exercise. How many problems does he solve?
Choices:
52
51
50
48
Answer: D
Question: A rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Choices:
$240
$480
$960
$144
Answer: D
Question: If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the smallest number?
Choices:
2
3
4
6
Answer: A
Question: For which of the following does y(a)−y(b)=y(a−b) for all values of a and b?
Choices:
y(x)=x/2
y(x)=x+5
y(x)=2x−1
y(x)=|x|
Answer: A
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 231 marks in the second test and failed by 48 marks in that test. Find the pass mark in the first test?
Choices:
243
246
625
248
Answer: D
Question: 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?
Choices:
2: 0
2: 2
2: 3
2: 9
Answer: C
Question: Fiind the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
2882
5460
2342
2900
Answer: B
Question: If 102y = 25, then 10-y equals:
Choices:
1/625
1/50
1/25
1/5
Answer: D
Question: Salaries of Prasanna and Sathish are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sathish's present salary?
Choices:
Rs. 18000
Rs. 38000
Rs. 43000
None
Answer: B
Question: An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Choices:
4
2/3
1/4
1/2
Answer: D
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
Choices:
42 min 36 sec
45 min
46 min 12 sec
46 min 15 sec
Answer: C
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Choices:
1000
1786
1778
2212
Answer: A
Question: Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 10 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Choices:
$1500
$1600
$1300
$1160
Answer: A
Question: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
67
18
25
23
Answer: A
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
Choices:
1/25
1/28
1/22
1/24
Answer: A
Question: The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
Choices:
4:9
1: 9
1: 3
1: 2
Answer: A
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of c crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of c?
Choices:
x
3x/2
2x
3x
Answer: D
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
14
10
8
9
Answer: B
Question: A car is running at a speed of 60kmph. What distance will it cover in 8sec?
Choices:
136m
180m
200m
250m
Answer: A
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $9.00?
Choices:
60
90
120
108
Answer: D
Question: Look at this series: 32, 31, 33, 32, 34, 33, ... What number should come next?
Choices:
32
35
36
31
Answer: B
Question: This year, MBB Consulting fired 8% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Choices:
101.2%
102.8%
104.5%
105.0%
Answer: A
Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 10 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
48 kilometers per hour
50 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: B
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 2: 15. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Choices:
20 kg
6.25 kg
6.35 kg
6.55 kg
Answer: A
Question: If c+5/d is a prime integer, which of the following must be true?
1.d=5c
2. d is a prime integer
3. c+5/d is ODD.
Choices:
None
2 only
1 and 2 only
2 and 3 only.
Answer: A
Question: If 1400*xy=1050. Then what is the value of xy=?
Choices:
2/5
3/4
3/7
4/7
Answer: B
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,429
II. 88,865,544,264
III. 5,555,554,673
Choices:
I​I only
II and III
II Only
I​ and III
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜COMPUTERâ€™, using each letter exactly once?
Choices:
40320
43332
89000
46780
Answer: A
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . How many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference?
Choices:
12 feet
13 feet
15 feet
18 feet
Answer: C
Question: 5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Choices:
1:5
2:3
3:2
None of these
Answer: A
Question: The average of 25 results is 45. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Choices:
750
690
780
708
Answer: D
Question: There are 16 students in a class. On the day the test was given, Bob was absent. The other 15 students took the test and their average was 77. The next day, Bob took the test, and with this grade included, the new average was 78. What was Bob's grade on the test?
Choices:
93
94
95
96
Answer: A
Question: Subtracting 6% of A from A is equivalent to multiplying A by how much ?
Choices:
0.94
0.094
94
None
Answer: A
Question: {3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
Choices:
4, 16/5
4, 16/5, 28/3
4, 28/3
3, 4, 5
Answer: C
Question: How many cubes will remain if the cubes having black and green coloured are removed ?
Choices:
16
8
12
10
Answer: A
Question: The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:
Choices:
8
10
12
14
Answer: A
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 47.5km apart?
Choices:
1 1/4 hours
4hours
3 3/4 hours
6hours
Answer: A
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Choices:
$19,500
$20,200
$20,400
$21,100
Answer: B
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 minute
6 hrs 28 min
6 hrs 21 min
2 hrs 21 min
Answer: A
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
Choices:
23
25
35
36
Answer: B
Question: (X)+9088+1090-9156=19845. Calculate the value of X
Choices:
18153
11282
18825
18823
Answer: D
Question: A train passes a station platform in 36 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?
Choices:
240
88
66
221
Answer: A
Question: Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
15
55
95
6
Answer: D
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
8 hours
9 hours
10 hours
12 hours
Answer: A
Question: What digit appears in the units place in the number obtained when 2^320 is multiplied out?
Choices:
2
4
6
8
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
88
66
12
99
Answer: C
Question: How many of the following numbers are divisible by 16 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
2
5
6
7
Answer: A
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern?
Choices:
100 min
110 min
120 min
130 min
Answer: C
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
Choices:
12 feet
13 feet
15 feet
18 feet
Answer: A
Question: 51 = 4a + 3b
5 > |–a|
If a and b are both integers, What is the highest values of ‘a’ that can be used to solve the above equation.
Choices:
2
3
-3
0
Answer: B
Question: Can you find the smallest non fractional number such that
If the number gets divided by 4 , we get the remainder of 1;
If the number gets divided by 5 , we get the remainder of 2
If the number gets divided by 6 , we get the remainder of 3;
If the number gets divided by 7, we get the remainder of 4.
Choices:
418
581
443
720
Answer: A
Question: Nathan,Fred, Alan, Becky and Allison are each
holding one of the following 4 cards. Nathan
and Alan both have Spades. Becky and Alan
both have the same number. Which one has the
9 of hearts?
Choices:
Fred
Alan
Becky
Allison
Answer: D
Question: A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
Choices:
100
120
140
160
Answer: B
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
2100
1950
2200
Answer: A
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Choices:
5336
6000
3000
4000
Answer: A
Question: Five friends Adi, Brian, Close, Derek and Eli appeared in two aptitude tests. In the first aptitude test, Derek score 50% less than the average score of the five people. In the second aptitude test, Derek score 50% more than what he scored on the first aptitude test. If the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was Derek's score less than the average score of the 5 people in the second aptitude?
Choices:
25%
33%
40%
50%
Answer: A
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 sec. The speed of the train is?
Choices:
50 km/hr
15 km/hr
17 km/hr
18 km/hr
Answer: A
Question: Change the below lagarithm log255 = 1/2 to exponential form
Choices:
5
7
10
11
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
Choices:
188 m
120 m
160 m
189 m
Answer: C
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Choices:
27667
11760
29877
27781
Answer: B
Question: what is the compound interest on rs:40,000 for 4 months at the rate of 5% per annum
Choices:
670.85
672.85
673.85
674.85
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 6 years?
Choices:
2 : 3
1 : 2
3 : 2
1 : 4
Answer: C
Question: If three machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
Choices:
36
75
80
100
Answer: A
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
Choices:
85
45
Cannot be determined
None of these
Answer: A
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7 days
17 1/9 days
17 7/7 days
18 1/7 days
Answer: A
Question: The average of a non-zero number and its square is 5 times the number. The number is:
Choices:
6
7
8
9
Answer: D
Question: Pipes A and B can fill a cistern in 9 and 72 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
12
16
18
19
Answer: B
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, ... What number should come next?
Choices:
10
12
13
14
Answer: C
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 14t + 24 = 0, with a > b, what is the value of a â€“ b?
Choices:
4
6
8
10
Answer: D
Question: At a conference table, 9 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 9 employees?
Choices:
41320
42320
40320
43320
Answer: C
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -6). What is the slope of line m ?
Choices:
-1
-1/3
0
Undefined
Answer: A
Question: The sale price of a trolley bag including the sale tax is Rs. 420. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
Choices:
Rs 300
Rs 350
Rs 375
None of these
Answer: A
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
Choices:
25200
45100
15460
36400
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.56
157.5
157.52
157.54
Answer: B
Question: If 20% of a number is equal to three-fifth of another number, what is the ratio of first number to the second number?
Choices:
3:1
1:3
1:2
2:3
Answer: A
Question: A basket has 6 apples and 6 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
Choices:
1/2
1/4
2/5
3/10
Answer: A
Question: By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
Choices:
Rs. 444.44
Rs. 100.10
Rs. 810
None of these
Answer: A
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choices:
278
267
285
231
Answer: C
Question: Select the non termination decimal among the following.
Choices:
11/3
4/5
7/8
9/10
Answer: A
Question: How many paying stones, each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board?
Choices:
18
26
15
12
Answer: C
Question: Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
Choices:
28892
25600
27772
17713
Answer: B
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
20 kg
22 kg
26 kg
31 kg
Answer: D
Question: A man rows to a place 24 km distance and come back in 7 hours. He finds that he can row 2 km with the up stream in the same time as 3 km against the down stream. The rate of the stream is
Choices:
13/3 km/hr
20/7 km/hr
30/7 km/hr
40/7 km/hr
Answer: B
Question: What is the remainder when 3^381 is divided by 5 ?
Choices:
1
2
3
4
Answer: C
Question: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
6 (3/4) days
7 (3/4) days
8 (3/4) days
9 (3/4) days
Answer: A
Question: A runs twice as fast as B and gives B a start of 60m.How long should the racecourse be so that A and B might reach in the same time?
Choices:
120 m.
150 m.
100 m.
None of the above
Answer: A
Question: If 5 is added to twice a number and this sum is multiplied by 10, the result is the same as if the number is multiplied by 5 and 20 is added to the product. What is the number?
Choices:
-8
-2
10
11
Answer: B
Question: Laxman went 15 kms from my house, then turned left and walked 20 kms. He then turned east and walked 25 kms and finally turning left covered 20kms. How far was he from his house?
Choices:
40*1.414
45*1.414
20*1.414
48*1.414
Answer: A
Question: A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120. For how many years was the sum invested?
Choices:
25 years
33 years and 4 months
Cannot be determined
None of these
Answer: A
Question: Calculate the number of urns of water needed to fill a tank of dimensions of 10x10x5m to 90% full, if the volume of the urn is 0.8m3 and can only be filled to 80%.
Choices:
650.2
685.5
703.1
712.2
Answer: C
Question: A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
Choices:
11pm
10pm
09pm
08pm
Answer: A
Question: 7 speakers gathered to deliver speeches on two topics. Even though 7 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
Choices:
49
50
47
1024
Answer: A
Question: Bill is golfing with two friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 10 golf tees for each member of his foursome, if he will buy no more than 2 packages of the generic golf tees?
Choices:
3
8
4
2
Answer: A
Question: What is the selling price of a car? cost of car is Rs 60 & profit 10% profit over selling price
Choices:
64
65
66
67
Answer: C
Question: Two unbiased coins are tossed. Find the probability of getting at most one head?
Choices:
3/4
2/5
2/3
1/4
Answer: A
Question: Compound interest of Rs.5000 at 10% per annum for 1 1/2years will be (interest compounded half yearly).
Choices:
Rs.374
Rs.495
Rs.788
None of the above
Answer: C
Question: An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
Choices:
10
15
20
25
Answer: B
Question: A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
Choices:
60 men
78 men
87 men
75 men
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 36 km/hr can cross in 45 seconds, is:
Choices:
320 m
245 m
250 m
240 m
Answer: A
Question: Which of the following is equal to the value of 2^7 + 2^7 + 3^7 + 3^7 + 3^7 ?
Choices:
2^8 + 3^8
2^8 + 3^6
2^9 + 3^9
2^5 + 3^5
Answer: A
Question: Fred and Sam are standing 50 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 5 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
Choices:
9
25
30
45
Answer: B
Question: If -1 < x < 0, which of the following must be true?
I. x^7 < x^3
II. x^3 < 1 – x
III. x^5 < x^3
Choices:
I,II,III only
I only
II only
III only
Answer: A
Question: On a trip, a cyclist averaged 8 miles per hour for the first 12 miles and 12 miles per hour for the remaining 24 miles. If the cyclist returned immediately via the same route and took a total of 7.5 hours for the round trip, what was the average speed (in miles per hour) for the return trip?
Choices:
9
11
12
13
Answer: A
Question: A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Choices:
19/2
21/2
15/2
None
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 30 years. What is the age of Deepak at present?
Choices:
15 years
66 years
18 years
55 years
Answer: C
Question: Calculate the amount that an investor needs to be invest to earn $441 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 7% compounded semi-annually?
Choices:
6200
6799
6199
6685
Answer: A
Question: What least number should be added to 1052, so that the sum is completely divisible by 23
Choices:
B)1
C)6
D)3
E)5
Answer: B
Question: The population of a bacteria colony doubles every day. If it was started 9 days ago with 2 bacteria and each bacteria lives for 11 days, how large is the colony today?
Choices:
768
4096
2048
1024
Answer: D
Question: Given 2x + y + z = 3 and 5x + 3y + z = 15, what is the value of x + y - z?
Choices:
6
7
8
9
Answer: D
Question: A woman takes 5hr 45min in walking to certain place and riding back. She would have gained 2hrs by riding both ways. The time she would take to walk both ways is?
Choices:
3 hr 45 min
8 hr 55 min
7 hr 45 min
4 hr 60 min
Answer: C
Question: If x > 0.7, which of the following could be the value of x?
Choices:
√0.07
√0.7
√0.05
√0.04
Answer: B
Question: (64 - 12)^2 + 4 x 64 x 12 = ?
Choices:
4406
5776
5126
5128
Answer: B
Question: There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n11?
Choices:
1,000~10,000
10,000~100,000
100,000~1,000,000
1,000,000~
Answer: A
Question: A and B can do a job in 15 days and 10 days, respectively. They began the work together but A leaves after some days and B finished the remaining job in 5 days. After how many days did A leave?
Choices:
3 days
1 day
4 days
None of these
Answer: A
Question: If Q = x% of y and B = y% of x, then which of the following is true?
Choices:
2) A is greater than B
3) Relationship between A and B cannot be determined.
4) If x is smaller than y, then Q is greater than B.
5) None of the above
Answer: D
Question: A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of each.
Choices:
50
75
80
None of them
Answer: B
Question: A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 12 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Choices:
150
280
300
420
Answer: A
Question: Find the value of 72515 x 9999 = m?
Choices:
725077485
653658791
725117481
357889964
Answer: A
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical T present. If the concentration of chemical T is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: C
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336,528,1320
Choices:
5
6
7
8
Answer: B
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
120
140
150
200
Answer: A
Question: If x is an integer and 2.134 × 10^x is less than 2,200,000, what is the greatest possible value for x?
Choices:
6
5
4
3
Answer: A
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
Choices:
964347
946778
934656
1083875
Answer: D
Question: A jar holds 10 pink candies and 30 yellow candies. One candy is drawn at random. What is the probability that the candy drawn is yellow?
Choices:
1/2
3/5
3/4
None of these
Answer: C
Question: The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 12 percent, what was the annual interest rate last year?
Choices:
1.1%
9.1%
10%
10.9%
Answer: D
Question: If square-root of 15 is 3.87. Then find the value of square-root of (5/3)
Choices:
1.29
1.49
1.59
1.69
Answer: A
Question: A boat covers a certain distance downstream in 1 hour, while it comes back in 1½ hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Choices:
13 kmph
14 kmph
15 kmph
None
Answer: C
Question: What is the product of the greatest 2 digit multiple of 9 and the greatest 2 digit prime number?
Choices:
9,408
9,603
9,603
9,702
Answer: B
Question: a,b,c,d,e,f,g sitting in a row what is the probability that a & c sitting adjacent.
Choices:
5/7
4/7
3/7
2/7
Answer: D
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choices:
2523
1683
3363
3567
Answer: B
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 90. He was allowed to drop his lowest score. After doing so, his average test score improved to 95. What is the lowest test score that was dropped?
Choices:
25
55
75
80
Answer: C
Question: What is the units digit of 28! + 50! + 3! + 4!?
Choices:
0
4
6
8
Answer: A
Question: On a certain baseball team, 1 out of 5 batters hit the ball. If 2 out of every 10 batters who hit the ball score a home-run, and there are 20 batters who've hit home-runs, how many players have been up to bat?
Choices:
500
100
5,0000
2,000
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2000 resolutions?
Choices:
1704 m
2816 m
2827 m
2897 m
Answer: B
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Choices:
2
4
5
6
Answer: A
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 75 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choices:
2500
2200
2300
2400
Answer: A
Question: The unit digit in the product (611 * 704 * 912 * 261) is:
Choices:
2
6
8
10
Answer: A
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
13√8
13√9
12√2
Answer: A
Question: Ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find their present ages.
Choices:
12,28,36
16,28,27
16,28,36
None of these
Answer: C
Question: An error 2% in excess is made while measuring the sideofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.15%
5%
5.24%
Answer: A
Question: Which of the following describes all the values of x for which 8−4x < 18x−18?
Choices:
x < 5/11
5/11 < x
x > 13/11
13/11 > x
Answer: C
Question: How much does a watch lose per day, if its hands coincide ever 64 minutes?
Choices:
32 8/11
32 8/18
32 8/17
32 8/14
Answer: A
Question: An athlete runs 200 metres race in 24 seconds. What is his speed?
Choices:
38
37
30
28
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
67%
45%
78%
25%
Answer: D
Question: What is the diffference between the place value and face value of 7 in the numeral 9751?
Choices:
692
693
694
695
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $40. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
9xy/40
40xy/9
360xy
360/(xy)
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs.2028
Rs.2000
Rs.2022
Rs.2021
Answer: B
Question: A woman swims downstream 45 km and upstream 15 km taking 3 hours each time, what is the speed of the woman in still water?
Choices:
10
14
16
18
Answer: A
Question: If 2 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 and other 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
Choices:
1/2652
18/2652
12/2652
6/2652
Answer: B
Question: 1,3,5,7,9,..50 find term of sequnce for this.
Choices:
1345
1456
1478
2500
Answer: D
Question: Compute the probability that two random integers, independently chosen and both taking on
an integer value between 1 and 10 with equal probability, have a prime product.
Choices:
2/25
3/25
4/25
5/25
Answer: A
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 1 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
Choices:
30
15
20
25
Answer: A
Question: If r is even and t is odd, which of the following is odd?
Choices:
5rt
6(r^2)t
5r + 6t
6r + 5t
Answer: D
Question: If x and y are prime numbers such that x > y > 3, then x^2 − y^2 must be divisible by which one of the following numbers?
Choices:
7
5
9
12
Answer: B
Question: If M = N/O, -1 < O < 0 and 4 < N, which of the following is correct?
Choices:
0 < M <4.
-4 < M < 0.
M < -4.
M < -20.
Answer: C
Question: there are 4 consonants 3 vowels how many 6 letter strings can u form with atleast one vowels in each?
Choices:
6
7
8
9
Answer: B