antoine-444/aqua_rat_dataset huggingface dataset:
Question: P is three times as old as Q. In 10 years, P will be twice as old as Q. How old was P three years ago?
Choices:
27
33
36
39
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
72%
12%
82%
16%
Answer: B
Question: The true discount on a bill of Rs. 2260 is Rs. 360. What is the banker's discount?
Choices:
Rs. 428
Rs. 412
Rs. 442
None of these
Answer: A
Question: If n = 20! + 19, then n is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
II only
III only
I and II
II and III
Answer: B
Question: A can fill the tank in 28hrs
B can fill the tank in 14 hrs
and C takes 7hrs.
If all three pipes are opened simultaneously ,how long it will take to fill the tank?
Choices:
4
6
7
8
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
100
112
115
119
Answer: A
Question: Three friends (Amar, Mohan and Sham) started partnership business by investing Rs. 1,00,000, Rs. 1,40,000 and Rs. 1,60,000 respectively. After eight months, Ramesh joins them with his capital of Rs. 50,000. If, at the end of the year, a profit of Rs. 30,500 was made, what would be the difference between the shares of Sham and Mohan?
Choices:
1464
2679
2776
9782
Answer: A
Question: the total age of A and B is 12 year more than the total age of B and C. C is how many years younger than A ?
Choices:
12
data inadequate
None of these
34
Answer: A
Question: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 110 mangoes.
Choices:
367
400
406
412
Answer: A
Question: 5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
THEN ;
7+2+5 = ?
Choices:
143681
143547
147614
255547
Answer: B
Question: In a mayoral election, Candidate X received 1/4 more votes than candidate Y, and Candidate Y received 1/6 fewer votes than Z. If Z received 24,000 votes how many votes did candidate X received?
Choices:
22000
24000
25000
32000
Answer: C
Question: The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 10, 70, and what number?
Choices:
25
35
45
55
Answer: A
Question: There are, in a certain league, 8 teams, and each team face another team for a total of 12 times. How many games are played in the season?
Choices:
121
144
180
1200
Answer: B
Question: Six years ago I was three times as old as my brother, and now I am twice as old my brother. Find my brother's age.
Choices:
24 years
12 years
16 years
26 years
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 5 days. How long will C take to do it?
Choices:
120/7 days
100/9 days
90/13 days
80/3 days
Answer: A
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 5 metres then what will be the area of the square so formed?
Choices:
2600 cm2
2500 cm2
3025 cm2
None of these
Answer: D
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)?
Choices:
Rs.20043.94
Rs.20043.99
Rs.20043.90
Rs.20043.91
Answer: A
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Choices:
62.5
61
64
60
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
18
20
24
26
Answer: C
Question: A man borrowed Rs. 800 at 10% per annum simple interest and immediately lent the whole sum at 10% per annum compound interest. What does he gain at the end of 2 years ?
Choices:
Rs. 8
Rs. 10
Rs. 12
Rs. 14
Answer: A
Question: If a and b are nonzero integers such that a = 5b/2, then each of the following must be true EXCEPT
Choices:
ab is positive.
On the number line, b lies between 0 and a.
The ratio of a to b is equivalent to 10/4.
a – b is positive.
Answer: D
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 52 units per day, what is the value of n ?
Choices:
19
10
9
7
Answer: A
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3 grams
833 1/2 grams
875 2/7 grams
865 2/7 grams
Answer: A
Question: Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 7 years?
Choices:
5x (1+n/100)^5- x
3x (1+n/100)^4 - x
x (1+n/100)^4 - x
x (1+n/100)^7 - x
Answer: D
Question: A starts a business with a capital of Rs. 5,000. B joins in the business with Rs.2000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
6 months
7 months
10 months
None of these
Answer: C
Question: A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
Choices:
22
21
36
48
Answer: B
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7
10.3
10.8
10.2
Answer: C
Question: There has been successive increases of 20% and then 10% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
Choices:
20%
24%
28%
32%
Answer: B
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 17 terms of the arithmetic progression?
Choices:
120
150
170
270
Answer: C
Question: What is the least number which when divided by 6, 7, 9 and 18 leaves remainder 4 in each care?
Choices:
130
136
156
166
Answer: A
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 2(x+ y) > 2z
III. yz > xz
IV. xy > y + z
Choices:
II only
II and III only
II and IV only
III and IV only
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?
Choices:
300
200
100
150
Answer: B
Question: A charity collected $1,499 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
Choices:
78
79
74
65
Answer: C
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:
200
240
111
161
Answer: B
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Choices:
15
27
127
255
Answer: B
Question: If the number 52,1n6, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
5
3
4
0
Answer: C
Question: P,Q and R started a business in which P invested Rs.10,000/- for 2year, Q invested Rs.20,000/- for 3 years, R invested Rs.30,000/- for 4 years. At the end of the profit received by them is Rs.10,000/-. What is Q’s share?
Choices:
Rs. 2,000
Rs. 1,000
Rs. 1,500
Rs. 3,000
Answer: D
Question: If 2^2n + 2^2n + 2^2n + 2^2n = 4^20, then n =
Choices:
6
19
23
24
Answer: B
Question: When a certain number X is divided by 63, the remainder is 25. What is the remainder when X is divided by 8?
Choices:
1
4
5
6
Answer: A
Question: 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)
Choices:
M+
L-N
M-N
L(N-M)/ L-M
Answer: D
Question: John throws a coin until a series of three consecutive heads or three consecutive tails appears. What is the probability that the game will end after the fourth throw?
Choices:
2/16
3/16
7/16
9/16
Answer: A
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
6
8
10
Answer: A
Question: Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 5000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
Choices:
100500
105000
Data inadequate
None of these
Answer: B
Question: A man has some hens and cows. If the number of heads be 44 and the number of feet equals 128, then the number of hens will be
Choices:
24
26
20
28
Answer: A
Question: 4, 7, 16, 43, 124, (...)
Choices:
367
27
32
25
Answer: A
Question: The average of 11 results is 20. The average of first 5 of them is 15 and that of last 5 is 22 . Find the 6th result?
Choices:
35
100
120
150
Answer: A
Question: The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 30%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Choices:
24%
30%
32%
79%
Answer: B
Question: Three taps A, B and C can fill a tank in 24, 30 and 40 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in :
Choices:
10 hours
14 hours
16 hours
18 hours
Answer: B
Question: If a and b are positive integers such that a/b = 4.37, which of the following must be a divisor of a?
Choices:
19
12
7
17
Answer: A
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Choices:
23%
24%
25%
34%
Answer: C
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 200. Find the total worth of the stock?
Choices:
20000
10000
20027
20026
Answer: B
Question: A is B's sister. C is B's mother. D is C's father. E is D's mother. Then, how is A related to D?
Choices:
Daughter
Grandmother
Granddaughter
SISTER
Answer: C
Question: In the diagram shown, the number of rectangles of all
sizes is
Choices:
11
7
13
9
Answer: A
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 5% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
10%
15%
25%
35%
Answer: D
Question: If one-third of one fourth of a number is 15, then three-tenth of that number is:
Choices:
25
45
54
52
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
1.3 sec
2.9 sec
1.8 sec
Answer: A
Question: If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?
Choices:
40%
50%
70%
80%
Answer: B
Question: Today is Monday. After 29 days, it will be :
Choices:
Tuesday
Monday
Sunday
Wednesday
Answer: A
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 36 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Choices:
15
20
25
40
Answer: D
Question: Pipe A can fill a tank in 4 hours, pipe B in 12 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled ?
Choices:
2.8 hours
3.5 hours
3 hours
None of these
Answer: A
Question: Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Choices:
1/28
27/28
124/125
499/500
Answer: B
Question: A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Choices:
8.25cm
11.25cm
15.12cm
20.62cm
Answer: B
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
992
665
771
211
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m3) is:
Choices:
5184
6420
8960
7960
Answer: A
Question: Two people are playing with a pair of dice. Instead of numbers, the dice have different colors on their sides. The first person
wins if the same color appears on both the dice and the second person wins if the colors are different. The odds of their winning
are equal. If the first dice has 5 red sides and 1 blue side, find the colour(s) on the second one.
Choices:
2
3
4
7
Answer: B
Question: When the integer k is divided by 7, the remainder is 4. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 3
II. 6k + 2
III. 8k + 4
Choices:
II only
III only
I and II only
I, II and III
Answer: C
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
Choices:
6
9
18
22
Answer: A
Question: What simple interest will produce Rs.84000 as in 4 years at 3 1/2 percent?
Choices:
12660
15220
11760
16520
Answer: C
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 6% higher then what would the sum amount in the same time period?
Choices:
Rs. 3683
Rs. 3596
Data inadequate
Rs. 3944
Answer: D
Question: Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?
Choices:
10%
15%
17.5%
20%
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
1348
1321
1342
1365
Answer: D
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A.?
Choices:
12
15
20
10
Answer: A
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Choices:
9 years
4 years
6 years
2 years
Answer: C
Question: By selling a bat for Rs.630/- a man loses 10% what is that bat cost price
Choices:
s.630/-
s.700/-
s.780/-
s.800/-
Answer: B
Question: in a soccer bet,we play 4 teams.first team odd 1.28,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Choices:
223.0
235.01
266.74
669.0
Answer: A
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
Choices:
8 hours 15 mins
9 hours
7 hours
6 hours
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ?
Choices:
195 seconds
155 seconds
227 seconds
115 seconds
Answer: C
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Choices:
0.6
0.448
0.5
0.52
Answer: B
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
25 kmph
65 kmph
55 kmph
14 kmph
Answer: A
Question: 2, 3, 6, 0, 10, -3, 14, (...)
Choices:
-6
-2
4
10
Answer: A
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.10 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
190
200
210
Answer: B
Question: Two friends plan to walk along an 18-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Choices:
10
12
13
14
Answer: A
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
Choices:
30
41
23
65
Answer: A
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
160%
120%
124.2%
138%
Answer: A
Question: 2 dice are thrown simultaneously. Find the probability of getting a multiple of 2 on 1 dice and multiple of 3 on the second dice?
Choices:
11/36
12/32
13/45
13/41
Answer: A
Question: John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?
Choices:
100%
17%
17.61%
17.56%
Answer: A
Question: A professional gambler has won 40% of his 25 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Choices:
25
30
35
40
Answer: A
Question: If two-third of a bucket is filled in four minutes then the time taken to fill the bucket completely will be .
Choices:
70 seconds
60 seconds
100 seconds
6 minutes
Answer: D
Question: Can you tell Which of the following fractions is the largest?
Choices:
5/6
12/15
17/21
29/35
Answer: A
Question: The product of two positive integers is 323 and their difference is 2. What is the smaller number?
Choices:
17
16
19
14
Answer: A
Question: A merchant marks his goods up by 20% and then offers a discount of 5% on the marked price. What % profit does the merchant make after the discount?
Choices:
6 %
21%
14%
17%
Answer: C
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Choices:
276889
267777
504000
297112
Answer: C
Question: Vinod climbs 60 steps in 40 seconds. At that rate, how many steps could he climb in 150 seconds?
Choices:
221
222
224
225
Answer: D
Question: Bookman purchased 60 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 660, how many paperback copies were sold?
Choices:
24
26
28
30
Answer: A
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled?
Choices:
50/216
25/72
25/36
5/6
Answer: B
Question: Company A imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
Choices:
840
800
1680
2100
Answer: B
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/7
1/5
1/1
1/2
Answer: A
Question: Some of the people in Town A are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town A, three times as many people are tall as are tall in Town A, three times as many people are both as are both in Town A, but no one is neither. If the total number of people in Town A is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town A who are neither left-handed nor tall?
Choices:
39
72
143
199
Answer: C
Question: What is the difference between the local value of 6 and 6 in the number 2664?
Choices:
540
288
277
112
Answer: A
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
Choices:
0
2
3
4
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is not an even ?
Choices:
1/4
2/3
2/5
3/7
Answer: A
Question: If x and y are positive odd integers, then which of the following must also be an odd integer? I. x^(y+2) II. x(y+3) III. (y+1)^(x-1) + 1
Choices:
I,III only
II only
III only
II,III only
Answer: A
Question: Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?
Choices:
4≤x≤10
4≤x≤12
4≤x≤16
6≤x≤16
Answer: C
Question: A man whose speed is 4 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1 kmph, find his average speed for the total journey?
Choices:
4
4.5
3.75
3
Answer: C
Question: If a shirts can be purchased for c rupees, how many shirts can be purchased for t rupees?
Choices:
at/c
ac/t
t/(ac)
c/(at)
Answer: A
Question: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Choices:
787
17
12
77
Answer: C
Question: How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 and 6?
Choices:
b. 249
c. 432
d. 216
e. 288
Answer: C
Question: A basketball coach is making the starting lineup for his team of 10 players. There are 4 guards on the team and 6 post players. How many different groups of 5 players could he choose assuming he must pick 2 guards and 3 post players?
Choices:
120
140
160
180
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
287
277
400
281
Answer: C
Question: A white paper 2 inches wide is placed around a rectangular black paper with dimensions 8 inches by 12 inches. What is the area of the white paper, in square inches?
Choices:
196
128
144
168
Answer: A
Question: A number exceeds by 25 from its 3/8 part. Then the number is?
Choices:
29
27
40
91
Answer: C
Question: As x Decreases from 169 to 166, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x)
Choices:
III only
I and II
I and III
II and III
Answer: A
Question: If a is the sum of p consecutive positive integers and b is the sum of q consecutive positive integers. For which of the following values of p and q is it impossible that a = b?
Choices:
p = 3; q = 6
p = 10; q = 4
p = 7; q = 9
p = 10; q = 7
Answer: B
Question: The least perfect square, which is divisible by each of 21, 36 and 66 is:
Choices:
213444
214434
231444
233444
Answer: A
Question: In a square box of side 16 centimeters small square boxes of side 4 centimeters are arranged. How many small square boxes fit into the large square box?
Choices:
25
16
30
20
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/0
17 1/7
17 1/2
17 1/3
Answer: B
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
277
27
34
77
Answer: C
Question: A four-character password consists of one letter of the alphabet and three different digits between 2 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
17,472
26,000
37,440
52,000
Answer: A
Question: if remainder is 19 , quotient is 61 and dividend is 507 then what is divisor ?
Choices:
8
10
12
14
Answer: A
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Choices:
420 m
197 m
167 m
186 m
Answer: A
Question: What is the present worth of Rs. 176 due in 2 years at 5% simple interest per annum
Choices:
120
150
160
None of these
Answer: C
Question: if Juan takes 10 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
10x/y
x/11y
11/xy
xy/11
Answer: A
Question: The weight of four dogs is determined to be 25 pounds, 31 pounds, 43 pounds and 41 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
Choices:
33
35
37
39
Answer: B
Question: What is the slope of a line on a standard
xy-plane that passes through the point
(1, 3) and (4, –3)?
Choices:
2
-2
1/2
-1/2
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
700 m
800 m
100 metre
400 m
Answer: C
Question: Simplify: (4 – 5) – (13 – 18 + 2).
Choices:
4
-3
2
-1
Answer: C
Question: I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
Choices:
700
800
900
None
Answer: B
Question: A rower can row upstream at 7 km/hr and downstream at 13 km/hr. What is the rower's rate in still water?
Choices:
9 km/hr
10 km/hr
11 km/hr
12 km/hr
Answer: B
Question: A work as fast as B. If B can complete a work in 12days independently,the number of days in which A and B can together finish the work in?
Choices:
3days
4days
5days
6days
Answer: B
Question: The equation of line f is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line f?
Choices:
50
60
75
100
Answer: B
Question: seven children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
Choices:
480
540
720
840
Answer: B
Question: There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.
Choices:
31
32
24
21
Answer: A
Question: If the simple interest on a sum of money at nineteen percent per annum for two years is Rs.12000, compound interest on the same sum for the same period at the same rate of interest is
Choices:
11,430.00
13,410.00
11,340.00
13,140.00
Answer: D
Question: How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
3 years
9 years
5 years
Answer: D
Question: Two buses and a van were employed to transport a class of students on a field trip. 2/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
Choices:
b) 2/3
c) 11/15
d) 6/10
e) 4/5
Answer: C
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 380 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
1.2%
5.6%
4.21%
12.2%
Answer: C
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
24
12
6
8
Answer: B
Question: If (x-14)(x-3) < 0, which of the following must be true?
Choices:
14-x > 0
5 - x < 0
x - 5 < 0
11 - x > 0
Answer: A
Question: A firm has 4 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
74
82
90
98
Answer: A
Question: 3251+587+369-?=3007
Choices:
1300
1375
1200
None of them
Answer: C
Question: By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choices:
Rs. 120
Rs. 140
None of these
Not determined
Answer: C
Question: A certain experimental mathematics program was tried out in 2 classes in each of 42 elementary schools and involved 55 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Choices:
0 and 14
1 and 10
1 and 9
2 and 8
Answer: A
Question: If the number 617*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choices:
1
2
4
5
Answer: A
Question: The compound interest on Rs.30,000 at 7% per annum is Rs.4347. The period (in years) is
Choices:
2
3
4
5
Answer: A
Question: A certain company had a total annual expenditure of 2.1∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Choices:
$25,000
$35,000
$40,000
$50,000
Answer: D
Question: Three years ago the average age of a class of six members was 19 years. A boy have been added, the average age of the class is the same today. What is the age of the boy?
Choices:
1
3
4
5
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person?
Choices:
95 kg
85 kg
Data inadequate
None of these
Answer: A
Question: If y > 0, which of the following could be true?
I. y^3 > y^2
II. y^2 = y
III. y^2 > y^3
Choices:
III
IIIII
All of the above
None of the above
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 600 per sq. metre.
Choices:
Rs. 12375
Rs. 15600
Rs. 16500
None of these
Answer: A
Question: Bhajan Singh purchased 120 reams of paper at Rs.80 per ream. He spent Rs.280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs.72 to the coolie. If he wants to have a gain of 8% , what must be the selling price per ream ?
Choices:
Rs.87.48
Rs.89
Rs.90
None
Answer: C
Question: 2.205 divided by 0.3 gives
Choices:
7.35
8.15
6.95
None of these
Answer: A
Question: The average of 11 results is 52, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
B)34
C)66
D)76
E)74
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
24098
23007
24098
Answer: A
Question: Of the 5 numbers, whose average is 75, the first is one-fourth of the sum of the last 4. The first number is?
Choices:
75
78
56
67
Answer: A
Question: The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test.
You have to calculate the percentage of those students who passed the first test and were also able to pass the second test. How will you do it?
Choices:
41%
60%
70%
88%
Answer: B
Question: Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?
Choices:
The maximum possible value of a^2 + b^2 + c^2 + d^2 is 4m^2 – 2m + 1.
The minimum possible value of a^2 + b^2 + c^2 + d^2 is 4m^2 + 2m + 1
The maximum possible value of a^2 + b^2 + c^2 + d^2 is 4m^2 + 2m + 1
None
Answer: B
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of odd all the integers between 1 and 50?
Choices:
625
750
550
600
Answer: A
Question: Find the area of a cuboid of length 8cm , breadth 6 cm . and height 9cm.
Choices:
410 cm cube
420 cm cube
432 cm cube
480 cm cube
Answer: C
Question: If 10a = 6b = 20, then 120ab =
Choices:
800
1200
1400
1600
Answer: A
Question: Positive integer x has n factors; 3x has 3 factors; Which of the following values can n take?
I. 1
II. 2
III. 3
Choices:
II only
I or II
II or III
I or III
Answer: A
Question: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
Choices:
720
320
520
None of these
Answer: A
Question: If P(A) = 2/15, P(B) = 7/15, and P(A âˆª B) = 16/15 Find P(A|B)
Choices:
16/7
3/2
4/5
4/7
Answer: A
Question: Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 6 times the amount of the second solution?
Choices:
65
68
70
72
Answer: C
Question: A train covers a distance of 12 km in 16 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
90
60
75
85
Answer: C
Question: A machine puts c caps on bottles in m minutes. How many E hours will it take to put caps on b bottles?
Choices:
E=bm/60c
bc/60m
60b/cm
b/60cm
Answer: A
Question: What least number should be added to 1056, so that the sum is completely divisible by 23?
A. B. 3
C. 2	D. 1
Choices:
3
2
0
5
Answer: B
Question: What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter
Choices:
3:1
4:1
5:1
None of these
Answer: A
Question: What is the probability of getting a King and a Queen in a single draw of two cards from a pack of well-shuffled cards?
Choices:
(4C1 * 4C1) / 52C2
4/52 * 4/51
8C2 / 52 C 2
(8 * 7) / 52C2
Answer: A
Question: If a boy lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
9
10
12
Answer: A
Question: On four consecutive flips of a coin, what is the probability that all four produce the same result?
Choices:
1/8
1/4
3/8
1/2
Answer: A
Question: What is the greatest positive integer x such that 4^x is a factor of 64^10?
Choices:
9
10
20
30
Answer: D
Question: The average of 6 no.'s is 6.40. The average of 2 of them is 6.2, while the average of the other 2 is 6.1. What is the average of the remaining 2 no's?
Choices:
2.6
6.9
4.5
4.6
Answer: B
Question: 3889 + 12.952 - ? = 3854.002
Choices:
47.95
45.97
47.59
45.79
Answer: A
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:2
1:87
1:6
1:1
Answer: A
Question: The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
Choices:
3000
4000
5000
6200
Answer: B
Question: If W is the set of all the integers between 10 and 332, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
28
160
213
107
Answer: C
Question: For any positive integer N, the sum of the first N positive integers equals N(N+1)/2 . If M and N are positive integers and M > N, what is the sum of all the integers between M and N, inclusive?
Choices:
M(M+1)/2 - N(N-1)/2
M(M+1)/2 - N(N+1)/2
M(M+1)/2 + N(N-1)/2
M(N+1)/2 - N(M-1)/2
Answer: A
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.155. Find the unknown rate of two towels?
Choices:
B)450
C)500
D)550
E)600
Answer: B
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
6
8
7
4
Answer: C
Question: Which of the following describes all values of x for which 1–x^2 = 0?
Choices:
x <= –1
x=1; x=–1
x =2
x=-2
Answer: B
Question: 5005 - 5000 ÷ 10.00 = ?
Choices:
50
5000
4505
None
Answer: C
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
1:0
1:9
1:2
1:1
Answer: B
Question: What is the greater of the two numbers whose product is 1280, given that the sum of the two numbers exceeds their difference by 32?
Choices:
B)100
C)110
D)70
80
Answer: D
Question: Find the fraction which has the same ratio to 2/3 that 3/5 has to 6/7
Choices:
2/22
3/4
7/15
5/6
Answer: C
Question: An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Choices:
3726
3720
3722
3721
Answer: B
Question: If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?
Choices:
48 Paise
28 Paise
11 Paise
12 Paise
Answer: A
Question: In the set of positive integers from 1 to 80, what is the sum of all the odd multiples of 5?
Choices:
245
320
260
270
Answer: B
Question: The difference between the two numbers is 1/3 of the larger number. If the smaller one is 48 the larger one is
Choices:
72
32
96
65
Answer: A
Question: Jerry and john play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. john plays first, giving Jerry a third of her cards. Jerry plays next, and john follows. Then the game ends. jerry ended up with 14 more cards than Michelle. How many cards did each player have originally?
Choices:
27
29
30
31
Answer: A
Question: The ratio of two numbers is 5 to 1. The sum is 18. What are the two numbers?
Choices:
18
19
20
21
Answer: A
Question: A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 5 hats randomly out of the drawer and returning each hat before taking out the next one?
Choices:
1/4
1/2
5/8
7/12
Answer: C
Question: From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?
Choices:
1365
5325
1432
1324
Answer: A
Question: How many 3/4 foot pieces of cable can be cut out of a piece that is 30 feet long?
Choices:
b.36
c.37
d.38
e. 40
Answer: D
Question: The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (s) around the mirror, which of the following could be the value, in inches, of s ?
I. 2
II. 3 1/2
III. 5
Choices:
III only
I and II only
I and III only
I, II, and III
Answer: D
Question: The diagonals of a rhombus are 22 cm and 30 cm. Find its area?
Choices:
329
350
330
317
Answer: C
Question: Two women can do a work in 4 days. Six men can complete the same work in 3 days. What is the ratio between the capacity of a man and a woman?
Choices:
2:1
4:9
3:2
None of these
Answer: B
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Choices:
13√2
13√9
12√9
13√1
Answer: A
Question: Kamal obtained 96, 65, 82, 67 and 85 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
69
72
79
NOne
Answer: C
Question: The sum of two numbers is 25 and their difference is 13. Find their product.
Choices:
108
114
325
None
Answer: B
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 35 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
24%
25%
26%
28%
Answer: C
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age five years back was?
Choices:
19years
20years
21years
22years
Answer: B
Question: 1, 8, 27, 64, 125, 216, (....)
Choices:
343
245
392
400
Answer: A
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 12% less than the price each head sold for the day before.what was the gross profit on this shipment?
Choices:
$115
$120
$130
$135
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Choices:
250
277
272
150
Answer: A
Question: An escalator moves towards the top level at the rate of 10 ft.sec and its length is 112 feet. If a person walks on the moving escalator at the rate of 4 feet per second towards the top level, how much time does he take to cover the entire length.
Choices:
10 sec
12 sec
8 sec
9 sec
Answer: C
Question: If FRIEND is coded as HUMJTK, how is CANDLE written in that code ?
Choices:
EDRIRL
WDFDD
DRFED
E8U8W
Answer: A
Question: The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, the number 35 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Choices:
17
19
22
26
Answer: A
Question: After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 5265. What was the number of original inhabitants?
Choices:
7800
8100
8400
8700
Answer: A
Question: A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Choices:
75/4
7/15
3/7
4/3
Answer: B
Question: A certain company had a total annual expenditure of 1.47∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Choices:
$25,000
$35,000
$40,000
$45,000
Answer: B
Question: which number need to add to 859622 to get a number exactly divisible by 456?
Choices:
465674
345465
675644
859622
Answer: D
Question: A rectangular with dimensions 16 inches by 20 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Choices:
a) 4 inches
c) 7 inches
d) 8 inches
e) 10 inches
Answer: A
Question: A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,054. How much did she invest at 5%?
Choices:
$600
$700
$900
$950
Answer: A
Question: CX, EV, GT, IR, ?
Choices:
UU
KP
UY
IS
Answer: B
Question: The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?
Choices:
D
J
H
W
Answer: A
Question: A cylinder and a cone have the same height and same radius of base. The ratio between the volumes of the cylinder and the cone is:
Choices:
2:1
7:1
5:1
3:1
Answer: D
Question: A 10-by-5 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Choices:
The volume of the cylinder with height 5 is 50/pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 10 is 50pi cubic inches greater than the volume of the cylinder with height 6.
The volume of the cylinder with height 5 is 50pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 5 is 250/pi cubic inches greater than the volume of the cylinder with height 10.
Answer: A
Question: A BUS is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the BUS ?
Choices:
metres
metres
metres
metres
Answer: B
Question: The average age of the mother and her six children is 8 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Choices:
38
42
43
44
Answer: A
Question: If a and b are positive real numbers, and a^3 + b^3 = 25, then the greatest possible value of a is between:
Choices:
0 and 3
4 and 5
5 and 7
7 and 9
Answer: A
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?
Choices:
10
9
7
6
Answer: A
Question: How many distinct integer values of n satisfy the inequality||n-3| + 2| ≤ 12?
Choices:
16
12
18
19
Answer: B
Question: How is 2% expressed as a decimal fraction?
Choices:
0.02
0.002
0.0002
2
Answer: A
Question: There are 1200 jelly beans divided between two jars, Jar X and Jar Y. If there are 400 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
Choices:
700
750
800
850
Answer: C
Question: f n = 3^4 - 2^4, which of the following is NOT a factor of n?
Choices:
22
65
169
130
Answer: A
Question: The banker's discount on a bill due 4 months hence at 15% is $6.20. The true discount is:
Choices:
$5.90
$6.60
$6.70
$6.10
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm?
Choices:
50 cm2
150 cm2
200 cm2
250 cm2
Answer: A
Question: If ab > 0, which of the following must be negative?
Choices:
|a| + b
b - a
a/b
-a/b
Answer: D
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
Choices:
Rs. 700
Rs. 8400
2Rs. 9600
Rs. 8000
Answer: B
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Choices:
3 days
1 days
5 days
7 days
Answer: A
Question: Find the value of x: 2x² + 9x − 5.
Choices:
1/2
2/3
2/5
3/5
Answer: A
Question: Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
Choices:
26/39
26/93
26/33
26/13
Answer: C
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
Choices:
32500
44000
40000
45000
Answer: A
Question: What is the remainder when 263251 is divided by 9?
Choices:
3
6
1
9
Answer: C