antoine-444/aqua_rat_dataset huggingface dataset:
Question: If x^2 - 1 = 0 and x > 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 20
x^2 - 2x + 3
x^2 + 2x - 3
x^2 + 5x + 6
Answer: C
Question: If 235477 × 455233 × K^2 is divisible by 3, which of the following could be the value of K?
Choices:
6111209
3456576
6111309
6111109
Answer: D
Question: Twin primes are defined as prime numbers that can be expressed as p and (p + 2), and any number p that is a member of such a pair is considered to have a twin. For example, 3 and 5 are twin primes, and 3 has a twin. Each of the following prime numbers has a twin EXCEPT
Choices:
13
17
23
29
Answer: C
Question: Tough and Tricky questions: Number Properties.
If (z + 3)/6 is an integer, what is remainder when z is divided by 6?
Choices:
3
4
5
6
Answer: A
Question: If the number 892,132,27x is divisible by 11, what must be the value of x?
Choices:
2
3
4
5
Answer: C
Question: Express 35 mps in kmph?
Choices:
188
126
140
124
Answer: B
Question: Abhijit started a business investing 4000. Anuja joined him after six months with an amount of 8000 and Sunil joined them with 12,000 after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, two years after Abhijit started the business?
Choices:
2 : 4 : 4
2 : 5 : 5
2 : 3 : 3
2 : 5: 3
Answer: C
Question: What are the chances you would pull an Ace or Heart from a well-shuffled deck of cards?
Choices:
4 of 12
1 of 13
4 of 13
1 of 52
Answer: C
Question: A moving truck uses 28 gallons of diesel fuel in traveling 504 miles. In order for the truck to travel the same distance using 21 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Choices:
6
8
12
21
Answer: A
Question: 25 bikes are running between two places A & B. In how many ways can a person go from A to B and return by a different bikes?
Choices:
250
400
600
650
Answer: C
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $35 more. What was his original selling price?
Choices:
$280
$420
$550
$700
Answer: C
Question: If 5 |x| /=1, which of the following must be true?
Choices:
x<1/5
x=1/5
x=1
x=10
Answer: B
Question: A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
Choices:
8 hrs 45 mins.
9 hrs 30 mins.
11 hrs 40 mins.
15 hrs 30 mins
Answer: A
Question: Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest W?
Choices:
60
62
63
64
Answer: A
Question: A is twice as good a workman as B and together they finish a piece
in 18 days. In how many days will A alone finish the work?
Choices:
27 days
54 days
16 days
29 days
Answer: A
Question: Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 30% ?
Choices:
1
2.50
1.73
4
Answer: C
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 14 km/hr respectively. They will meet for the first time in?
Choices:
40min
34min
25min
20min
Answer: B
Question: An article is bought for Rs.1000 and sold for Rs.700, find the loss percent?
Choices:
16 7/3%
16 2/8%
16 2/3%
30%
Answer: D
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
250%
200%
Answer: A
Question: Write 890,000,000,000 in scientific notation.
Choices:
8.9 * 10 11
8.900 * 10 11
80.9000* 10 11
08.900 * 10 11
Answer: A
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 18 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Choices:
6
7.2
7.8
9
Answer: D
Question: In how many ways to select 3 girls and 2 boys from a class? A class contains 5 boys and 5 girls.
Choices:
30
22
20
25
Answer: C
Question: If a mixture is 3⁄7 alcohol by volume and 4⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
Choices:
4⁄7
3⁄4
4⁄3
7⁄4
Answer: B
Question: A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :
Choices:
500
298
267
191
Answer: A
Question: If 40! × 40!/40^n is an integer, what is the largest possible value of n?
Choices:
10
7
3
1
Answer: A
Question: If the GCD of two distinct numbers (not equal, both integers, greater than 1) is 3, then which of the following can be true? A. They are prime.
B. They are odd.
C. They do not have a common prime factor.
D. They do not have a common factor other than 3.
Choices:
Only B
Only C
Only D
Only A and D
Answer: A
Question: 60 + 5 * 12 / (180/3) = ?
Choices:
120
13
61
None of these
Answer: C
Question: Find the odd man out. 125, 127, 130, 135, 142, 153, 165
Choices:
165
153
130
125
Answer: A
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB < YD
AX > XB
CY < XB
AX > AB
Answer: C
Question: If p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3^k is a factor of p?
Choices:
12
14
16
18
Answer: B
Question: A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?
Choices:
25%
20%
40%
45%
Answer: A
Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)P can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Choices:
600
500
300
240
Answer: D
Question: If a certain sample of data has a mean of 31.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(24.5; 38.0)
(28.0; 32.5)
(26.5; 35.0)
(29.0; 32.5)
Answer: A
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies L and Y . The ratio of p to V in smothie L is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie L?
Choices:
10
15
20
25
Answer: C
Question: A taxi company charges $1.85 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
Choices:
4 1/4 miles
4 3/4 miles
5 1/3 miles
6 1/4 miles
Answer: C
Question: 25,168, ? , 8176
Choices:
1169
1167
1166
1165
Answer: A
Question: An Olympic diver received the following scores: 7.0, 8.5, 8.0, 6.5, and 5.0. The standard deviation of her scores is in which of the following ranges?
Choices:
1.01 to 1.99
3.01 to 3.99
4.01 to 4.99
5.01 to 5.99
Answer: A
Question: ?% of 360 = 144
Choices:
36
64
40
None of these
Answer: C
Question: In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 30% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
137
210
Answer: C
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $30000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
Choices:
4
9
10
15
Answer: A
Question: A rectangular garden has a 5-metre-wide road outside around all the four sides. The area of the road is 600 square metres. What is the ratio between the length and the breadth of that plot?
Choices:
4 : 3
5 : 4
Data inadequate
None of these
Answer: C
Question: How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?
Choices:
173144
144
297
2181
Answer: B
Question: Which of the following CANNOT be a product of two distinct positive integers c and d?
Choices:
d
3d + 2c
d - c
dc
Answer: C
Question: How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest?
Choices:
8 years
2 years
4 years
9 years
Answer: C
Question: A straight pipe 1 meter in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a meter?
Choices:
1/4 and 1/3 only
1/12, 1/6 and 1/4
1/6, 1/4, and 1/3
1/12, 1/6, and 1/3
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
26
23
Answer: A
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share?
Choices:
Rs.18
Rs.15
Rs.21
Rs.25
Answer: B
Question: If x^2 - 4 = 0 and x > 0, which of the following must be equal to 0 ?
Choices:
x^2 - 2x
x^2 - 2x + 3
x^2 + 2x - 3
x^2 + 5x + 6
Answer: A
Question: If the number is divided by 3, it reduced by 42. The number is
Choices:
B)63
C)45
D)40
E)36
Answer: A
Question: 30 is what percent of 100?
Choices:
30%
45%
50%
55%
Answer: A
Question: On a sum of money, the simple interest for 2 years is Rs.660, while the compound interest is Rs.696.30, the rate of interest being the same in both the cases. The rate of interest is
Choices:
11%
12%
10.5%
None
Answer: A
Question: During the last four years, a large truck company purchased diesel at rates of $1.2, $1.3, $1.8 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Choices:
$2.55
$1.52
$3.25
$3.0
Answer: B
Question: If n is an integer and 101n^2 is less than or equal to 10000, what is the greatest possible value of n?
Choices:
8
9
10
11
Answer: B
Question: Reema took a loan of Rs 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest.
Choices:
6%
7%
8%
9%
Answer: A
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
3.75 days
5 days
6 days
7 days
Answer: A
Question: John has 5 friends who want to ride in his new car that can accommodate only 4 people at a time (John plus 3 passengers). How many different combinations of 3 passengers can be formed from the 5 friends?
Choices:
8.
10.
15.
20.
Answer: B
Question: 57, 55, 50, 48, 43, 41, ?
Choices:
23
36
25
32
Answer: B
Question: which one is odd?
4377
3954
9864
8454
9831
Choices:
3954
9864
8454
None
Answer: B
Question: x percent of y percent of z is decreased by y percent, What is the result?
Choices:
(100xyz - xy^3z) / 1,000,000 *(-1/48)
(xz - y) / 10,000
(xyz - 2y) / 100
(xyz - 2y) / 10,000
Answer: A
Question: I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialling the first four, then what is the chance of dialling the correct number?
Choices:
1/1000
1/999
1/990
1/968
Answer: A
Question: x an y are two truck parks 500 km apart, if a truck leaves park x at 9 a.m. and travels at a speed of 70 kmph at what time will the first truck meet the second truck which left station y at 10am and travels at a speed of 50 kmph
Choices:
1.30 p.m
11.30 a.m
12.30 p.m
1.30 a.m
Answer: A
Question: If 40 percent of all students at college X have brown hair and 70 percent of all students at college X have blue eyes what is the difference between the minimum and maximum probability of picking a student from college X who has neither brown hair nor blue eyes?
Choices:
0.3
0.4
0.6
0.7
Answer: A
Question: If John runs in the speed of 9 km/hr from his house, in what time will he reach the park which is 300 m long from his house?
Choices:
2
5
3
6
Answer: A
Question: A certain bus driver is paid a regular rate of $12 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?
Choices:
51
59
55
64
Answer: D
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Choices:
451
623
215
3^5
Answer: D
Question: If 195,001, football shoes need to be placed in boxes and each box can contain at most 3 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:
Choices:
1football shoes
4 football shoes
7 football shoes
9 football shoes
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
52 kmph
54 kmph
56 kmph
58 kmph
Answer: B
Question: 2, -6, 18, -54, 162, (...)
Choices:
-486
-428
422
423
Answer: A
Question: If the area of the equilateral triangle above is 0.75, what is the area of the adjacent square?
Choices:
√3
√6
3
2√3
Answer: A
Question: When Robert discontinued his retainer-ship contract with a Pvt Company, management held his fees Rs. 15000/- for one month. Earlier Robert had completed a work worth fees of 7280/- from company, which was still not paid. But Robert forgot that. After one month Robert asked his fees and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert?
Choices:
B)12500
C)10780
D)10500
E)8600
Answer: B
Question: The difference between the local value and the face value of 9 in the numeral 62975148 is
Choices:
899991
899891
899981
899000
Answer: A
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1300 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
12019
12197
18000
Answer: B
Question: How many five-digit numbers exist such that the product of their digits is 400?
Choices:
120
180
30
75
Answer: A
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
2097
7922
2877
Answer: A
Question: Look at this series: 32, 35, 33, 36, 34, 37, ... What number should come next?
Choices:
31
35
32
33
Answer: B
Question: Raman buys an old scooter for Rs. 5000 and spends Rs. 1000 on its repairs. If he sells the scooter for Rs. 7200, his gain percent is :
Choices:
20%
10%
5%
None of these
Answer: A
Question: 8 machines, each working at the same constant rate, together can complete a certain job in 24 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 16 days?
Choices:
3
4
6
8
Answer: B
Question: A wheel that has 3 cogs is meshed with a larger wheel of 7 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
Choices:
9
6
8
7
Answer: A
Question: A tour group of 25 people paid a total of $650 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$24.7
$24
$25.20
$30
Answer: A
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
Choices:
729
451
152
451
Answer: A
Question: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?
Choices:
6
8
12
27
Answer: A
Question: Find two consecutive integers whose sum is equal 129.
Choices:
64
65
66
67
Answer: B
Question: Which is the smallest number divides 2800 and gives a perfect square.
Choices:
6
7
8
9
Answer: B
Question: Sum of ages of two friends is 34 while difference is 2 then their ages are
Choices:
18 years, 16 years
16 years, 18 years
18 years, 16 years
None
Answer: A
Question: If 4 men working 10 hours a day earn Rs. 1600 per week, then 9 men working 6 hours a day will earn how much per week?
Choices:
Rs 1320
Rs 1620
Rs 2160
None of these
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 19 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
14 1/4 min
11 2/4 min
11 1/5 min
11 7/4 min
Answer: A
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours X will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
4.
X=5.
X=6.
8.
Answer: B
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 64, what is the measure of side XY?
Choices:
16
8
8√2
Cannot be determined from the information provided
Answer: A
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 70 paise per sq m is
Choices:
Rs. 358.80
Rs. 458.80
Rs. 520.80
None of these
Answer: C
Question: The product of two consecutive odd no is -1, then what is the value of the sum of them.
Choices:
-1
0
1
2
Answer: B
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 441, what was his profit?
Choices:
s. 69
s.72
s.75
s.81
Answer: D
Question: In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 20 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
Choices:
75
30
45
60
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 2/3%
33 1/3%
33 1/1%
32 1/3%
Answer: B
Question: How many three letter words are formed using the letters of the word KEYBOARD?
Choices:
289
27
336
346
Answer: C
Question: The difference between the length and breadth of a rectangle is 25 m. If its perimeter is 210 m, then its area is:
Choices:
2600 m2
2480 m2
2520 m2
None
Answer: A
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
17 sec
12 sec
46 sec
15 sec
Answer: B
Question: The contents of a certain box consist of 72 apples and 30 oranges. How many oranges must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples?
Choices:
78
88
138
108
Answer: C
Question: From given equation find the value of x: 2x² + 9x − 5
Choices:
1/2
1 1/2
2/3
3/5
Answer: A
Question: A bulk pack consists of 7 primary parts and 4 secondary parts. If a bundle is created with 4 primary parts and 2 secondary parts, in how many ways can the bundles be formed?
Choices:
36
45
210
235
Answer: C
Question: At a dinner party, 9 people are to be seated around a circular table. Two seating arrangement are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
10
40320
3200
12000
Answer: B
Question: 835, 734, 642, 751, 853, 981, 532
Choices:
751
981
532
None of these
Answer: A
Question: if jacob sold a watch costing rs.400 to john at 15% profit and john sold the same to sudhir at 15% profit, what is the price paid by sudhir?
Choices:
510
529
560
575
Answer: B
Question: A restaurant meal cost $60 and there was no tax. If the tip was more than 20 percent but less than 30 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$73 and $78
$71 and $79
$68 and $75
$60 and $71
Answer: B
Question: Complete the below series
5,6,7,8,10,11,14, ?
Choices:
13
14
15
16
Answer: C
Question: 3-3*7+2=
Choices:
B)-13
C)-18
D)-16
of the above
Answer: C
Question: Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?
Choices:
16.7%
20%
25%
87.5%
Answer: A
Question: In how many ways the letters of the word RAIXBON be arranged?
Choices:
5657
8756
5040
4345
Answer: C
Question: A round table conference to be held between 43 delegates of 43 countries. In how many ways can they seated if two particular delegates are always to sit together?
Choices:
32!*7!
45!*1!
39!*5!
41!*2!
Answer: D
Question: In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?
Choices:
900
287
255
121
Answer: A
Question: A restaurant meal cost $33.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$39 and $41
$38 and 40
$37 and $39
$36 and $37
Answer: C
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a 10?
Choices:
1/26
1/4
1/13
5/13
Answer: C
Question: The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be
Choices:
25%
35%
40%
45%
Answer: D
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90
66
55
11
Answer: A
Question: There are 40 students in a certain geometry class. If one half of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
15
24
27
Answer: B
Question: In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
180
200
30
220
Answer: C
Question: A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Choices:
3/125
1/56
1/54
1/53
Answer: A
Question: For how many integers n is 1^n+5 = (n+5)^1?
Choices:
2
None of these
3
4
Answer: B
Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 10 meters. What distance is she from the starting point and in which direction?
Choices:
35 m North
30 m West
45 m West
30 m East
Answer: D
Question: A train passes a station platform in 50 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 m
240 m
320 m
450 m
Answer: D
Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:30 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train?
Choices:
12:30 pm
1:30 pm
2:30 pm
3:30 pm
Answer: B
Question: A thief is spotted by a policeman from a distance of 200metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 15km/hr and that of the policeman 20km/hr, how far the thief will have run before he is overtaken ?
Choices:
B)500m
C)600m
D)750m
E)800m
Answer: B
Question: 36, 34, 30, 28, 24, ?
Choices:
23
22
20
24
Answer: B
Question: Seven years ago Anoop was P times as old as Kiran was. If Anoop is now 17 years old, how old is Kiran now in terms of P ?
Choices:
10/P + 7
17 - P/7
17/P
11.5P
Answer: A
Question: The surface of a cube is 24sq cm. Find its volume?
Choices:
8
6
5
4
Answer: A
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Choices:
5:17
5:12
5:13
5:16
Answer: D
Question: A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 15 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
Choices:
3 hours, 350 miles
4 hours, 450 miles
2.75 hours, 325 miles
6 hours, 650 miles
Answer: C
Question: The ratio of the number of females to males at a party was 1:2 but when 6 females and 6 males left, the ratio became 1:3. How many people were at the party originally?
Choices:
28
32
36
40
Answer: C
Question: If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.
Choices:
1 only.
3 only.
2 and 3 only.
1, 2 and 3.
Answer: A
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
Rs.2400
Rs.2850
Rs.2000
Rs.3000
Answer: A
Question: When 19 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choices:
2
3
4
5
Answer: B
Question: In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?
Choices:
3 years
4 years
5 years
6 years
Answer: A
Question: A person traveled from P to Q at a speed of 40km/hr and return by increasing his speed by 50km/hr. What is his average speed for both the trips?
Choices:
50km/hr
55km/hr
48km/hr
60km/hr
Answer: C
Question: We had $2800 left after spending 30% of the money that we took for shopping. How much money did we start with?
Choices:
$4000
$4300
$4600
$4900
Answer: A
Question: You are renting an apartment and you need √841 for each side, how many feet are you looking to measure?
Choices:
22
23
27
29
Answer: D
Question: What approximate value should come in place of the question mark (?) in the following equation ?
6⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
6530
58000
6300
Answer: B
Question: When x is divided by 5, the quotient is y and the remainder is 1. When x is divided by 8, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?
Choices:
(7z + 5) / 6
(6z + 7) / 4
(8z + 5) / 5
(4z + 6) / 7
Answer: C
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.5 km?
Choices:
375 m
300 m
400 m
100 m
Answer: A
Question: Find the number of shares that can be bought for Rs.8200 if the market value is Rs.20 each with brokerage being 2.5%.
Choices:
270
177
166
111
Answer: B
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. The slope of L is negative
2. Line L does pass the origin.
3. Line L must passes through the first quadrant
Choices:
I only
III only
I and II
II and III
Answer: A
Question: The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2 reductions together are equal to a single reduction of
Choices:
40
60
80
90
Answer: B
Question: Marco rode his dirt bike at 45 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride?
Choices:
20 mph
70/3 mph
80/3 mph
34 mph
Answer: A
Question: When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in z hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of z?
Choices:
1[1/5]
1[2/5]
1[3/4]
2
Answer: A
Question: A can do a job in 15 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
16 days
20 days
11 days
19 days
Answer: B
Question: How many 7 in between 1 to 100?
Choices:
20
22
23
24
Answer: A
Question: (1/5)^w * (1/4)^18 = 1/(2(10)^35). What is w?
Choices:
18
34
35
36
Answer: C
Question: A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in
Choices:
14 1/3 days
16 1/3 days
18 2/3 days
None of these
Answer: A
Question: if n>0 and x is n percent of y, then, in terms of n, y is what percent of x?
Choices:
b)1/100n
c)1/n
d)10^4/n
e)10,00/n
Answer: C
Question: Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of two rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
Choices:
45
60
75
90
Answer: B
Question: When x is divided by y, the quotient is z with remainder s. Which of the following is equal to s?
Choices:
y/x−z
x – y – z
x – yz
zx – y
Answer: C
Question: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 70 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 70 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
Choices:
170
210
265
235
Answer: A
Question: The first three terms of a proportion are 4, 12 and 16. The fourth term is?
Choices:
28
27
36
48
Answer: D
Question: When 40 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
Choices:
1 : 1
3 : 2
Data inadequate
None of these
Answer: A
Question: If 3x + 7 = x2 + M = 7x + 5, what is the value of 120% of M?
Choices:
9.9
9.98
Cannot be determined
None of these
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:
545454
465785
456573
1083875
Answer: D
Question: Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 168 and for 36kgs of Apples is 186 then the cost of first 20 kgs of Apples is
Choices:
3.66
3.6
100
3.61
Answer: C
Question: If 9^y = 3^14, what is y?
Choices:
3
4
5
7
Answer: D
Question: A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?
Choices:
165 m
200 m
300 m
None of these
Answer: A
Question: Triangle A’s base is 10% greater than the base of triangle B, and A’s height is 10% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Choices:
1 % less
Equal to each other
1 % more
9 % more
Answer: A
Question: When the integer k is divided by 7, the remainder is 1. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 1
II. 6k + 6
III. 8k + 2
Choices:
II only
III only
I and II only
I, II and III
Answer: C
Question: If “&” implies “Add”, “@” implies “multiply”, “#” implies “subtract”, “$” implies “division”,
12 & 3 @ 2 # 32 $ 4 = ?
Choices:
10
13
14
None of these
Answer: A
Question: what is next no. 11 23 47 83 131 ???
Choices:
181
191
201
211
Answer: B
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/7 full and other jar 1/6 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Choices:
7/12
1/2
2/7
2/3
Answer: C
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then the fraction of the work that is left is :
Choices:
7/12
5/12
2/3
1/2
Answer: B
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got?
Choices:
2700
2100
2500
None of these
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.5
6.75
6.1
8
Answer: C
Question: A sum fetched a total simple interest of 4025.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
Choices:
8925
2345
8945
8723
Answer: C
Question: A man buys an article for $110. and sells it for $125. Find the gain percent?
Choices:
13.6%
25%
20%
30%
Answer: A
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
65 Kmph
70 Kmph
80 Kmph
Answer: A
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. z T (-z)=0
II. z T z/z-1=0
III. 2/z T 2/z=z
Choices:
b.) I and II only
c) I and III only
d) II and III only
e) I, II and III only
Answer: B
Question: A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 525 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
Choices:
475
550
625
600
Answer: D
Question: How many odd numbers between 10 and 1,100 are the squares of integers?
Choices:
13
14
15
16
Answer: C
Question: six boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)6^30
Answer: D
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
98
60
88
12
Answer: B
Question: If the weight of 12 meters long rod is 14 kg. What is the weight of 6 meters long rod ?
Choices:
10.8 kg.
7 kg.
18.0 kg
None
Answer: B
Question: Cost of 16 mirror and 8 comb is Rs.352 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Choices:
12
20
21
22
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/33
23/31
23/34
Answer: A
Question: If a randomly selected non-negative single digit integer is added to {2, 3, 4, 7}. What is the probability that the median of the set will increase but the range still remains the same?
Choices:
0.3
0.4
0.5
0.6
Answer: B
Question: The denominator of a fraction is 2 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Choices:
B)3/5
C)4/9
D)5/9
E) None of these
Answer: B
Question: 99,996^2 - 4^2 =
Choices:
(10^5 – 2)^2
10^5(10^5 – 8)
10^5(10^4 – 2)
10^5(10^5 – 2)
Answer: B
Question: Cassandra invested one part of her $10,000 at 7.5% per year and the other part at 8.5% per year. Her income from the two investment was $820. How much did she invest at each rate?
Choices:
x = $4000 and y = $7000
x = $3000 and y = $7000
x = $5000 and y = $7000
x = $6000 and y = $7000
Answer: B
Question: The ratio of the cost price and selling price is 4:5. The profit percent is?
Choices:
25%
30%
50%
15%
Answer: A
Question: Reema took a loan of Rs 1100 with simple interest for as many years as the rate of interest. If she paid Rs. 704 as interest at the end of the loan period, what was the rate of interest.
Choices:
6%
7%
8%
9%
Answer: C
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs.518
Rs.519
Rs.540
Rs.528
Answer: C
Question: Mrs. Anderson divided $420 evenly among her children. Later, when Mrs. Anderson was away, Daniel, the eldest, took $5 from each of his brothers and sisters. Daniel ended up with $90. If Mrs. Anderson has more than 7 children, how many children does Mrs. Anderson have?
Choices:
12
16
18
20
Answer: A
Question: If the sum of two integers is 6, then it must be true that
Choices:
both integers are odd
both integers are positive
if one integer is negative, the other is positive
if one integer is positive, the other is negative
Answer: C
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6100?
Choices:
Rs. 5991
Rs. 6470
Rs. 6850
None of these
Answer: B
Question: The probability that a visitor at the mall buys a pack of candy is 40%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
.288
.189
.063
.027
Answer: A
Question: A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 50 persons and that of bus is 30 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus/truck is defined as the ratio of the actual number of persons boarding it and its capacity.
Choices:
15:4
15:8
15:7
None of these
Answer: A
Question: The markup on a shirt is 50 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Choices:
20%
33 1/3%
45%
56 2/3%
Answer: B
Question: If the day after tomorrow will be Sunday, when was Thursday?
Choices:
Tomorow
Yesterday
The day before yesterday
none
Answer: B
Question: Median H of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Choices:
47000
48000
51,000
56,000
Answer: D
Question: If â€˜PUNJABâ€™ is coded as â€˜GCEAABâ€™, then â€˜KERALAâ€™ is coded as
Choices:
BIECAA
BEIACA
BIEACA
BEICAA
Answer: B
Question: The triplicate ratio of 2:4 is?
Choices:
1:8
1:34
3:64
5:64
Answer: A
Question: A certain set of numbers has an average (arithmetic mean) of 10 and a standard deviation of 2.5. If X, a number in the set, is within 2 standard deviations from the average, then which of the following CANNOT be the value of X?
Choices:
2
6
10
14
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 3600 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
240
260
270
280
Answer: A
Question: The sum of two numbers is 33. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Choices:
18
15
22
24
Answer: A
Question: 4, 12, 48, 240, 1440, (...)
Choices:
10080
24000
14400
40000
Answer: A
Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choices:
1:27
3:1
1:3
1:9
Answer: A
Question: Set A = {2,3,4,5}
Set B = {4,5,6,7,8}
Two integers will be randomly selected from the sets above, one integer from Set A and one integer from Set B. What is the probability that the sum of the two integers will equal 9?
Choices:
0.20
0.30
0.33
0.39
Answer: A
Question: If 80% of 90 is greater than 70% of a number by 30, what is the number?
Choices:
60
10
75
85
Answer: A
Question: In practical applications, battery voltage:
Choices:
66
76
126
81
Answer: A
Question: A tin of oil was 4/5 full. when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
Choices:
10
40
50
20
Answer: B
Question: A car drove from Town A to Town B without stopping. The car traveled the first 80 miles of its journey at an average speed of 25 miles per hour. What was the car’s average speed, in miles per hour, for the remaining 80 miles if the car’s average speed for the entire trip was 40 miles per hour?
Choices:
48
50
55
100
Answer: D
Question: If x and y are positive real numbers such that x + y = 1, which of the following could be the value of 100x + 500y?
I. 90
II. 250
III. 499
Choices:
III only
I and II
I and III
II and III
Answer: D
Question: What is the units digit of 2222^(333)*4444^(222)?
Choices:
2
4
6
10
Answer: D
Question: The dimensions of a certain machine are 48*32*52,if the size of the machine is increased proportionally until sum of dimensions equals 156.
Choices:
56*40*40
56*40*30
56*40*20
56*40*60
Answer: D
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many R ways can the test be completed if every question is unanswered?
Choices:
120
625
720
1024
Answer: B
Question: x and y are positive integers. If xy + x is odd, then which of the following must be even?
.
Choices:
y
x + y
xy − x
x^2 − y
Answer: A
Question: A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
Choices:
10.28%
10.25%
16.25%
20.25%
Answer: B
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 60/kg. how much did a kg of coffee cost in june ?
Choices:
45
50
55
60
Answer: D
Question: X does a work in 10 days. Y does the same work in 15 days. In how many days they together will do the same work?
Choices:
15
3
6
12
Answer: C
Question: Bob finishes the first half of an exam in one-thirds the time it takes him to finish the second half. If the whole exam takes him an hour, how many minutes does he spend on the first half of the exam?
Choices:
24
27
30
40
Answer: C
Question: In a store, the profit is 320% of the cost. If the cost increases by 25% but the SP remains constant, approximately what %of the sp is the profit?
Choices:
70%
80%
100%
120%
Answer: A
Question: The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Charlie 9 years from now?
Choices:
44
57
65
80
Answer: A
Question: A shopkeeper sold an article for Rs 2591.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
Choices:
5%
6%
8%
10%
Answer: C
Question: A team has to design a flag. The team has two yellow strips of cloth and five green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
Choices:
21
240
720
1040
Answer: A
Question: How many numbers between 0 and 1670 have a prime tens digit and a prime units digit?
Choices:
268
202
112
262
Answer: A
Question: If 'b' is a positive integer exactly divisible by 5 or 7 but not divisible by 11.What could possibly be the value of 'b' ?
Choices:
35
77
110
165
Answer: A
Question: If x and y are non-zero integers, and 16x^4 – 4y^4 = 4x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
Choices:
2y^2+3/4
2y^2+1/4
2y^2+1/2
2y^2+1/6
Answer: B
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
277
266
2812
Answer: A
Question: The average of first five prime numbers greater than 20 is?
Choices:
32.0
32.4
32.2
32.8
Answer: C
Question: How long does a train 130 m long running at the speed of 80 km/hr takes to cross a bridge 140 m length?
Choices:
12.3 sec
17.9 sec
61.9 sec
47.98 sec
Answer: A
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent E of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: On a sum of money, the S.I. for 2 years is $600, while the C.I. is $609, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
3%
4%
5%
6%
Answer: A
Question: Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ?
Choices:
x = 4, y = 4
x = 2, y = 4
x = 8, y = 4
None of these
Answer: C
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Choices:
420 km
460 km
430 km
450 km
Answer: D
Question: Paul purchased a house for Rs.46000 and a site for Rs.14000 respectively, if he sold the house for Rs.44000 and the site for Rs.20000, then find the resultant percentage of gain?
Choices:
4.44%
5.55%
6.66%
7.77%
Answer: C
Question: In an examination series, which consists of 5 exams, Arvind scored an average of 60 marks in
the first 3 exams and an average of 70 in the last 4 exams, what is the average score of
Arvind for the first and last two exams if his average scores of all the five exams are 65?
Choices:
63.33
64
12
67.33
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
77
40
88
112
Answer: B
Question: In how many ways can a committee of 7 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
Choices:
69
65
66
None of these
Answer: A
Question: A man can row with a speed of 10 kmph in still water. If the stream flows at 25 kmph, then the speed in downstream is?
Choices:
35 kmph
20 kmph
22 kmph
25 kmph
Answer: A
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choices:
60
27
29
21
Answer: A
Question: The time it took car P to travel 750 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Choices:
56
60
70
80
Answer: A
Question: How many 2's are there between the terms 112 to 375?
Choices:
156
158
159
160
Answer: A
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Choices:
2:1
2:2
2:9
2:4
Answer: A
Question: Plane leaves from Chelsea every 50 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choices:
6:35 p.m
7:35 p.m
8:35 p.m
9:35 p.m
Answer: A
Question: Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 15 more revolutions than gear P?
Choices:
15
20
24
30
Answer: D