antoine-444/aqua_rat_dataset huggingface dataset:
Question: For the positive numbers, n, n + 3, n + 5, n + 8, and n + 9, the mean is how much greater than the median?
Choices:
0
n+l
n+2
n+3
Answer: A
Question: If p/5 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Choices:
8 : 12 : 9
15 : 6 : 8
6 : 4 : 3
12 : 8 : 3
Answer: B
Question: If 522x is a 3 digit no. with as a digit x. If the no.is divisible by 6, What is the value of the digit x is?
Choices:
6
9
10
11
Answer: A
Question: 10% of a number is more than 20% of 650 by 190. Find the number?
Choices:
3200
800
267
121
Answer: A
Question: Two dice are rolled. What is the probability the sum will be greater than 10?
Choices:
1/12.
5/36.
1/6.
1/5.
Answer: A
Question: If an amount of Rs 42,680 is distributed equally
amongst 22 persons, how much amount would each
person get?
Choices:
Rs 2000
Rs 745
Rs 1940
None
Answer: C
Question: How long will it take a train travelling at 68kmph to pass an electric pole if the train is 170 m long
Choices:
5.99
8.99
4.99
9.99
Answer: B
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 52 minutes. The total distance is?
Choices:
2 km
3.3 km
4 km
5 km
Answer: B
Question: A company issued 20000 shares of par value Rs. 10 each. If the total divided declared by the company is Rs.24000, find the rate of dividend paid by the company.
Choices:
11
12
13
15
Answer: B
Question: Complete the series 6,120, 504, 1320
Choices:
2730
3730
2830
2630
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
267 cm2
268 cm2
976 cm2
Answer: A
Question: The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
22 kmph.
20 kmph.
25 kmph.
28 kmph.
Answer: B
Question: What was the day of the week on 15th May, 2006?
Choices:
Friday
Saturday
Monday
Sunday
Answer: C
Question: Of 61 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
53
59
71
92
Answer: A
Question: A company plans to gradually replace its fleet of 20 cars with newer models. At the end of every year starting with 2000 it retires 5 of its old cars and buys 6 new models.How many years did it take before the number of older cars left in the company's fleet was less than 50 percent of the fleet?
Choices:
3
2
4
5
Answer: B
Question: A 40 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choices:
810
13
14
16
Answer: A
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 24, how many more dollars, in terms of x, will it cost per person?
Choices:
x/17
x/40
3x/40
3x/80
Answer: A
Question: Find the value of m 32519 x 9999 = m?
Choices:
353654655
545463251
725117481
325157481
Answer: D
Question: A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 7700. What is the share of B ?
Choices:
800
1400
1200
None of them
Answer: B
Question: An ant walks an average of 600 meters in 12 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
Choices:
2.55
2.775.
3.2.
3.5.
Answer: A
Question: An empty fuel tank with a capacity of 218 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choices:
122
100
80
50
Answer: A
Question: eight mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the eight arrange themselves in line such that Frankie’s requirement is satisfied?
Choices:
20160
8644
46060
40320
Answer: A
Question: If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100(both inclusive) varies by
Choices:
330
350
360
370
Answer: A
Question: If n is an integer greater than 8, which of the following must be divisible by 8 ?
Choices:
n(n + 2)(n – 1)
n(n + 1)(n – 4)
n(n + 3)(n – 5)
n(n + 5)(n – 6)
Answer: A
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, A, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
Choices:
16
17
20
26
Answer: B
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
Choices:
(400 - 100π) cm2
(400 – 200π) cm2
200π cm2
None of these
Answer: A
Question: A restaurant meal cost $34.50 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: B
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
16
18
19
20
Answer: A
Question: The sum of three consecutive even numbers is 42. Find the middle number of the three?
Choices:
14
18
24
34
Answer: A
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 25% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
12500
16688
26678
19987
Answer: A
Question: An empty pool being filled with water at a constant rate takes 3hours to fill to 3/5 of its capacity.how much more time will it take to finish filling the pool?
Choices:
5hr 20min
4hr 48min
3 hr 12min
2hr 40 min
Answer: D
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 80%?
Choices:
6
9
10
11
Answer: A
Question: Average of 8 numbers is zero. At most how many numbers may be greater than zero
Choices:
7
5
6
10
Answer: A
Question: Sachin is younger than Rahul by 6 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
14
15
24.9
24.1
Answer: B
Question: Which of the following could be the sum of the reciprocals of two prime numbers?
Choices:
11/12
11/30
23/50
14/33
Answer: D
Question: If KING is coded as 17 and MASS is coded as 29 Then DOG is coded as
Choices:
20
19
29
None
Answer: C
Question: If 3x+y=40, 2x-y=20, for integers of x and y, y^2=?
Choices:
4
0
16
3
Answer: C
Question: Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
Choices:
7/5
7/18
4/7
2/7
Answer: B
Question: The average of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?
Choices:
20
35
31
27
Answer: B
Question: Machine A takes 50 hours to complete a certain job and starts that job at 6AM. After four hour of working alone, machine A is joined by machine B and together they complete the job at 1PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Choices:
88.88
4.88
2.88
3.88
Answer: D
Question: Mother is aged three times more than her daughter Rose. After 8 years, she would be two and a half times of Rose's age. After further 8 years, how many times would he be of Rose's age?
Choices:
B)2
C)20
D)21
E)26
Answer: A
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 13.7
II. 12.3
III. 9.3
Choices:
I and II only
II only
III only
I and III only
Answer: C
Question: How many ways can 8 friends be arranged around a circular dinner table?
Choices:
2460
5040
40320
85670
Answer: B
Question: An uneducated retailer marks all his goods at 55% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Choices:
13.50 %
14 %
14.50 %
None
Answer: D
Question: A and B start a business with Rs.6000 and Rs.18000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:1
1:3
3:9
Answer: C
Question: If f(x) = 12 - x^2/2 and f(2k) = 4k, what is one possible value for k?
Choices:
3
4
6
8
Answer: B
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 2 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/1
8 1/4
10 1/2
8 3/7
Answer: C
Question: If MADRAS can be written as NBESBT, how can BOMBAY be written in that code ?
Choices:
CPNCBZ
SYUOKJ
SUOOHH
WUHSW
Answer: A
Question: There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set Y, which cannot be the range of the set Y?
Choices:
B.11
C.14
D.17
E.21
Answer: A
Question: Find the face value of 6 in 654321
Choices:
6
600
6000000
6000
Answer: A
Question: If an object travels at eight feet per second, how many feet does it travel in one hour?
Choices:
3778
12788
18000
28800
Answer: D
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
9
5
4
8
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 64 hours respectively. The ratio of their speeds is?
Choices:
8:3
8:4
4:8
4:1
Answer: A
Question: Find the area of a parallelogram with base 15 cm and height 40 cm?
Choices:
100 cm2
42 cm2
600 cm2
230 cm2
Answer: C
Question: The area of a triangle is with base 8m and height 4m?
Choices:
10 m2
16 m2
77 m2
31 m2
Answer: B
Question: What approximate value should come in place of the question mark (?) in the following equation ?
4⁄7 of 1596 + 3015 = ? – 2150
Choices:
48000
5300
58000
6070
Answer: D
Question: If a portion of a half water/half alcohol mix is replaced with 25% alcohol solution, resulting in a 30% alcohol solution, what percentage of the original alcohol was replaced?
Choices:
20%
66%
75%
80%
Answer: D
Question: A school’s annual budget for the purchase of student computers increased by 50% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
40%
25%
28%
60%
Answer: B
Question: A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:
Choices:
A makes a profit of 11%
A makes a profit of 20%
B loses 20%
None of these
Answer: A
Question: If the sides of a triangle are 65 cm, 60 cm and 25 cm, what is its area?
Choices:
850 cm^2
550 cm^2
750 cm^2
650 cm^2
Answer: C
Question: If TIER is written as 8163 and BRAIN is written as 23415, how is RENT coded ?
Choices:
3658
2977
2790
2711
Answer: A
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a queen and the second card is a jack is?
Choices:
1/169
1/26
1/120
1/4
Answer: A
Question: List I: 15, 12, 17, 20 List II: x,15, 12, 17, 20
Choices:
16
20
22
24
Answer: A
Question: How many prime numbers F exist such that 90 < F < 106 and F is a factor of 99999919?
Choices:
2. One
3. Two
4. Three
5. More than three
Answer: B
Question: If x and y are positive integers, and x^3*y^4 = 648, which of the following is the value of xy?
Choices:
4
6
8
10
Answer: B
Question: Abhijit started a business investing 70000. Anuja joined him after 4 months with an amount of 105000 and Sunil joined them with 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?
Choices:
9 :12 :13
8 :14: 24
12:14:16
8 :15: 12
Answer: A
Question: There are 10 points on a circle. A hexagon can be formed by linking 8 of the 10 points. How many such hexagons are possible?
Choices:
45
200
210
600
Answer: A
Question: A certain bus driver is paid a regular rate of $16 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 $1004 in total compensation, how many total hours did he work that week?
Choices:
40
44
48
53
Answer: D
Question: Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took one-third of the mints, but returned four because she had a momentary pang of guilt. Fatima then took one-fourth of what was left but returned three for similar reason. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?
Choices:
31
41
None of these
Cannot be determined
Answer: C
Question: How many liters of water must be evaporated from 50 liters of a 4-percent sugar solution to get a 10-percent solution?
Choices:
30
34
36
38
Answer: A
Question: A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Choices:
17
22
23
24
Answer: A
Question: In a certain furniture store, each week Nancy earns a salary of $240 plus 5% of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?
Choices:
$3,450
$4,200
$4,250
$5,000
Answer: D
Question: If B + A < B - A < A - B, which of the following is correct?
Choices:
B<A<0
B<0<A
0<B<A.
B>A>0.
Answer: A
Question: 80,873,72,72,64,81,56,?
Choices:
98
89
90
88
Answer: C
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Choices:
2506
2450
3000
3500
Answer: A
Question: A table is bought for Rs.600/- and sold at a loss of 12% find its selling price
Choices:
s.530/-
s.528/-
s.600/-
s.700/-
Answer: B
Question: Two Equal Amounts of Money are lent out at 6% and 5 % simple Interest respectively at the same time. The former is recovered two years earlier than the latter and the amount so recovered in each case is Rs.2800. Determine the amount that is lent out?
Choices:
368
37077
1750
2701
Answer: C
Question: Three sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 50, 90 and 75 respectively. the pass percentage of the whole set is
Choices:
73.33%
74.33%
85.33%
71.33%
Answer: A
Question: For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
1:4
2:5
3:7
Answer: A
Question: the sum of 4th and 20th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
Choices:
7
11
5
3
Answer: B
Question: Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train
Choices:
Train A reaches 30 minutes before Train B
Train A reaches 60 minutes before Train B
Train B reaches 60 minutes before Train A
None of the above
Answer: A
Question: Seven children â€” A, B, C, D, E, F, and G â€” are going to sit in seven chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
1440
4320
4800
Answer: B
Question: Find the odd man out. 18, 27, 36, 38, 45
Choices:
27
36
45
38
Answer: D
Question: If 222 = 6
333 = 12
444 = 20
Then, 555 = ??
Choices:
30
40
45
50
Answer: A
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
Choices:
57
58
83
73
Answer: A
Question: If a2 + b2 + c2 = 281 and ab + bc + ca =4, then a + b + c is
Choices:
18
22
17
20
Answer: C
Question: Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 2 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
Choices:
1/5
4/15
3/10
2/5
Answer: C
Question: How many integers between 400 and 1000 are there such that their unit digit is odd?
Choices:
150
300
400
450
Answer: B
Question: Divide $450 among A,B in the ratio 1:4. How many $ that A get?
Choices:
$90
$150
$250
$600
Answer: A
Question: If 16,666 – n is divisible by 11, and 0 < n < 11, what is n?
Choices:
1
5
7
9
Answer: A
Question: If 3f+ 1 < 2f < 9 - f, which of the following must be true?
I. -1 < f < 3
II. f < -1
III. f < 3
Choices:
II only
I and II only
II and III only
I, II and III
Answer: A
Question: ((1^m)/(5^m))((1^16)/(4^16)) = 1/(2(10)^31)
What is m?
Choices:
18
34
31
36
Answer: C
Question: Two trains 150 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:
10.9
10.26
11.16
18.8
Answer: C
Question: How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?
Choices:
5
9
10
11
Answer: A
Question: In what time will a train 120 m long cross an electric pole, it its speed be 185 km/hr?
Choices:
2.3 sec
2.7 sec
8.7 sec
8.5 sec
Answer: A
Question: How many positive three-digit integers are divisible by both 2 and 7?
Choices:
46
52
64
70
Answer: C
Question: A bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Choices:
625:3125
100:105
100^4:105^4
725:3225
Answer: B
Question: There are 300 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Choices:
175
150
125
100
Answer: B
Question: The area of a square garden is Q square feet and the perimeter is P feet. If Q=P+21, what is the perimeter of the garden in feet?
Choices:
28
32
36
40
Answer: A
Question: In a forest 10 rabbits were caught, tagged with electronic markers, then released. A month later, 10 rabbits were captured in the same forest. Of these 10 rabbits, it was found that 2 had been tagged with the electronic markers. If the percentage of tagged rabbits in the second sample approximates the percentage of tagged rabbits in the forest, and if no rabbits had either left or entered the forest over the preceding month, what is the approximate number of rabbits in the forest?
Choices:
70
50
1,500
500
Answer: B
Question: A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?
Choices:
4
6
8
9
Answer: C
Question: Sum of 3 consecutive even no.'s is 34 more than the 1st no. of the series. Find the middle no.?
Choices:
12
14
16
18
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
6020
6000
6098
6008
Answer: B
Question: How many integers between 265,205and 758,805 have tens digit 1 and units digit 3?
Choices:
4,639
3,946
4,926
4,936
Answer: D
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is two times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
2:3
3:2
9:4
18:8
Answer: D
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $55,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$11,200
$12,000
$12,800
$19,800
Answer: D
Question: If A, B, and C invested some amount in the ratio 3:2:5 in a buisiness. If the total profit incurrec after a year was Rs.12100, find the share of B.
Choices:
Rs.3630
Rs.2420
Rs.3360
Rs.6100
Answer: B
Question: If an amount of Rs 13,640 is divided equally among
62 students, approximately how much amount will
each student get?
Choices:
Rs 210
Rs 220
Rs 218
None
Answer: B
Question: Three friends sai, vani and ram divide $1020 amongs them in such a way that if $10, $20 and $15 are removed from the sums that sai, vani and ram received respectively, then the share of the sums that they got will be in the ratio of 8 : 4 : 2. How much did ram receive?
Choices:
$142
$242
$122
$143
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Choices:
39
40
46
49
Answer: B
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choices:
15
12
87
16
Answer: B
Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. What is the length of the train?
Choices:
150
187
267
191
Answer: A
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:49
32:45
32:46
32:41
Answer: B
Question: In a graduate physics course, 60 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is single?
Choices:
17/30
1/2
27/40
5/7
Answer: C
Question: In how many ways, a committee of 5 members can be selected from 7 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
152
175
350
412
Answer: C
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 300 grams of compound X?
Choices:
162
250
270
322
Answer: B
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 7 years hence?
Choices:
74
62
70
74
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:
11%
12%
15%
13%
Answer: B
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 3 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Choices:
5/8 hours
4/3 hours
12/7 hours
12/5 hours
Answer: B
Question: 10^185 - 10^9 = Which of the following best approximates the value of the expression above?
Choices:
10^180
10^(185)
10^160
10^179
Answer: B
Question: 45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?
Choices:
10
11
12
13
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 4.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
5.85
6.25
7
7.5
Answer: A
Question: A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Choices:
48/63
45/56
48/19
28/12
Answer: C
Question: A series of book was published at seven years intervals when the seventh book was published the total sum of publication year was 13, 1524. first book was published in?
Choices:
1911
1913
1914
1915
Answer: A
Question: Every student of a certain school must play an instrument. In last year, 1/2 of the students picked a woodwind instrument, 2/5 of the students picked a brass instrument, and all of the other students took percussion. In this year, 1/2 of the students who play woodwind and 1/4 of the students who play brass instruments left school, other students did not leave, and no fresh student come in. What fraction of all students play either a woodwind or brass instrument?
Choices:
4/5
9/13
11/13
7/10
Answer: C
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
6.85
7.16
7.15
7.12
Answer: A
Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 6000, brokerage being 1/4%, is:
Choices:
83.08
114.75
124
124.75
Answer: A
Question: A, B and C start a business each investing 20,000. After 5 months A withdrew 10000, B withdrew 15000 and C invests 5000 more. At the end of the year, a total profit of 58000 was recorded. Find the share of B.
Choices:
21,200
28,200
13,500
None of these
Answer: C
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3 mins
3 Â½ mins
7 mins
5 mins
Answer: A
Question: A publisher has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 35 percent, what is the discount rate on mysteries book?
Choices:
40%
35%
30%
25%
Answer: D
Question: In a certain country ½ of 5 = 3. Assuming the same proportion, what would be the value of 1/3 of 10 ?
Choices:
4
8
7
9
Answer: A
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 49?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choices:
75x^2 = 3y^2 - 12
25x^2 = (y + 2)(y - 2)
5x = y - 7
x^2 = (y^2 - 4)/25
Answer: C
Question: A certain bus driver is paid a regular rate of $14 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
52
Answer: B
Question: 24 oz of juice P and 25 oz of juice F are mixed to make smothies X and Y . The ratio of p to F in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choices:
10
15
20
25
Answer: C
Question: Harkamal purchased 3 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
A)700
C)1070
D)1075
E)1080
Answer: A
Question: There are 76 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
Choices:
28
32
34
36
Answer: A
Question: For positive integers n, the integer part of the nth term of sequence B equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, B_1 = 1.2345678…, while B_2 = 2.4681012… The sum of the first seven terms of sequence B is between:
Choices:
29 and 30
30 and 31
31 and 32
32 and 33
Answer: B
Question: A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half
water and half alcohol?
Choices:
10%
20%
29%
26%
Answer: B
Question: A large delicatessen purchased p pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for S dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)
Choices:
s(p − d) − pc
c(p − d) − ds
S(p-d) - cp
pc − ds
Answer: C
Question: What is the rate percent when the simple interest on Rs.1200 amount to Rs.400 in 4 Years?
Choices:
8.33%
2%
95%
1%
Answer: A
Question: If a and b are different positive integers and b(a + b) = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choices:
II only
III only
I and II
I and III
Answer: C
Question: Ramesh can complete a work in 12 days, working 7 hours a day. Suresh can complete the same work in 8 days, working 9 hours a day. If Ramesh and Suresh work together working 7 hours a day, in how many days can they complete the work?
Choices:
5 * 7 / 13
5 * 7 / 11
5 * 7 / 19
5 * 6 / 11
Answer: A
Question: A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
15 sec
18 sec
Answer: C
Question: If x, 3, 5, 7 are there and the range and median of them are the same, what is the value of x?
Choices:
1
2
5
4
Answer: C
Question: The average of first six prime numbers which are between 40 and 80 is
Choices:
50.7
45.7
57
67
Answer: A
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7 days
17 5/7 days
17 3/7 days
13 1/7 days
Answer: A
Question: Determine the value of 62/54 divided by 62/54
Choices:
1
2
3
none
Answer: A
Question: A train passes a station platform in 30 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
168 m
75 m
60 m
Answer: D
Question: A and B are two partially filled buckets of water. If 6 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 6 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
66/5
17
21
23
Answer: A
Question: With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity W of the pool?
Choices:
10500 cubic meters
11750 cubic meters
12000 cubic meters
12500 cubic meters
Answer: C
Question: What is the smallest number which when diminished by 20, is divisible 15, 30, 45 and 60?
Choices:
200
240
322
342
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
135 m
566 m
546 m
445 m
Answer: A
Question: r=2^(n+2), then in terms of r, 9^n=
Choices:
r^2/16
r^2
r/3
r
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.3624
s.4518
s.4530
s.4517
Answer: A
Question: In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
Choices:
85
748
624
1024
Answer: C
Question: Nine children — A, B, C, D, E, F, G, H and I — are going to sit in nine chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
80640
84320
84800
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Choices:
110
200
130
140
Answer: B
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Q covered by the two roads?
Choices:
1550
1575
1600
1625
Answer: B
Question: One year ago, Mrs Promila was four times as old as her daughter Swati. Six year hence,Mrs. Promila’s age will exceed her daughter’s age by 9 years. The ratio of the present ages of Promila and her daughter is
Choices:
11:3
12:5
13:4
None of these
Answer: C
Question: If abc^2 = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
Choices:
II
none
III
I&II
Answer: B
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire?
Choices:
24 cm
28 cm
36 cm
39 cm
Answer: C
Question: A man rows his boat 90 km downstream and 70 km upstream, taking 3 hours each time. Find the speed of the stream?
Choices:
6 kmph
3.5 kmph
4.5 kmph
4 kmph
Answer: B
Question: Claire has a total of 86 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
Choices:
50
60
54
60
Answer: C
Question: When a positive integer A is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
Choices:
36
50
65
77
Answer: D
Question: How many E ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Choices:
6P4
4^6
6^4
6!
Answer: B
Question: Wendy begins sanding a kitchen floor by herself and works for 5 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choices:
3/20 hours
20/3 hours
80/9 hours
272/35 hours
Answer: D
Question: The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Choices:
140 m2
108 m2
158 m2
None of these
Answer: A
Question: When a certain number X is divided by 143, the remainder is 21. Which of the following numbers, if added to X, would result in a number divisible by 13?
Choices:
21
5
47
55
Answer: B
Question: √(25)^2
Choices:
14
25
21
None of these
Answer: B
Question: In how many ways E can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
Choices:
2. 10!/(8! * 7!)
3. 5!/(3! * 2!)
4. (5!)^3/(3! * 2!)
5. 5!/(8! * 7!)
Answer: C
Question: A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
Choices:
21093
26888
2668
91971
Answer: A
Question: How many odd integers between 100 and 300 are there such that their tens digit is even?
Choices:
200
300
50
75
Answer: C
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 210 games will be played during the tournament. What is the number of participants?
Choices:
19
20
21
22
Answer: C
Question: A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?
Choices:
24
36
90
96
Answer: A
Question: The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
300
299
322
345
Answer: A
Question: A water tank is half full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Choices:
9 min.to empty
5.5 min.to empty
4 min.to empty
7.5 min.to empty
Answer: D
Question: What is the remainder when 1201 × 1202 ×1205 × 1207 is divided by 6?
Choices:
2
3
4
5
Answer: C
Question: With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?
Choices:
1,000
10,000
100,000
None of these
Answer: B
Question: The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
Choices:
Rs.1120
Rs.1170
Rs.1190
Rs.1200
Answer: B
Question: Adding 40% of x to x is equivalent to multiplying x by which of the following?
Choices:
1.05
1.15
1.2
1.4
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 6 hours, how many machines of type R were used?
Choices:
2
6
9
12
Answer: A
Question: In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 40 people were made to stand in a column, how many columns could be formed?
Choices:
12
16
18
20
Answer: A
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 343, what was his profit?
Choices:
s. 63
s.72
s.75
s.90
Answer: A
Question: 3 candidates in an election and received 1136, 7636 and 10628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Choices:
55%
54.8%
60%
62%
Answer: B
Question: A sum of Rs. 13500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
4%
6%
8%
14%
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1
7
8
9
Answer: A
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 180 six-ounce servings of orange juice?
Choices:
18
21
24
27
Answer: A
Question: How many kilograms of tea powder costing Rs. 31 per kg be mixed with 36 kilograms of tea powder costing Rs. 43 per kg, such that the mixture when sold at Rs. 44 per kg gives profit of 10%?
Choices:
12
20
10
30
Answer: A
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
5
7
14
8
Answer: B
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?
Choices:
3.6.
4.2
5.5
6.4
Answer: D
Question: 16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 4 girls Will take to construct?
Choices:
14 days
6 days
8 days
9 days
Answer: D
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 60 and the turban. Find the price of the turban.
Choices:
30
29
10
11
Answer: A
Question: Pipe A can fill a tank in 6 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
27
96
27
21
Answer: B
Question: A radio station surveyed 190 students to determine the types of music they liked. The survey revealed that 114 liked rock music, 50 liked folk music, and 41 liked classical music, 14 liked rock music and folk music, 15 liked rock music and classical music, 11 liked classical music and folk music. 5 liked all the three types of music.how many liked rock music, folk music but not classical only?
Choices:
5
114
9
15
Answer: C
Question: 30 % of 2 is equal to
Choices:
0.4
0.6
0.7
0.9
Answer: B
Question: 5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 44. What is the number?
Choices:
20
63
30
45
Answer: B
Question: A batsman in his 12th innings makes a score of 48 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
26
44
45
46
Answer: A
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 18%. How much will an air-conditioning unit cost in November?
Choices:
$466
$472
$484
$491
Answer: A
Question: 200 pupil total,out of 125 like pizza,115 like burger, then how many like both?
Choices:
40
60
70
80
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water?
Choices:
72
112
128
142
Answer: C
Question: 105,102,96,?,75,60,42
Choices:
75
60
82
87
Answer: D
Question: In a two digit number, the digit in the units place is four times the digit in ten's place and sum of the digits is equal to 10. What is the number?
Choices:
28
32
36
38
Answer: A
Question: Of the 20 members of a kitchen crew in traditional Japanese, 17 can prepare sushi, 18 can prepare noodle, and 15 can prepare both. If one member is chosen at random, what is the probability that the member chosen will be someone who can not prepare either dish?
Choices:
b) 1/5
c) 1/4
d) 0
e) 1/2
Answer: C
Question: When w is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when w + y is divided by 5?
Choices:
1
2
3
4
Answer: B
Question: List R contains five numbers that have an average value of 65. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Choices:
31
35
39
43
Answer: A
Question: In how many ways can 5 boys and 3 girls be seated on 8 chairs so that no two girls are together?
Choices:
14400
480
56
40320
Answer: A
Question: Bradley owns b video game cartridges. If Bradleyâ€™s total is quarter the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
17/4)b
13/4)b
21/4)b
7/12)b
Answer: C
Question: If x is an even integer and y is an odd integer, which of the following must be an even integer?
Choices:
x+y
3x + 2y
3(x + y)
2y/x
Answer: B
Question: When 24 is divided by the positive integer b, the remainder is 4. Which of the following statements about b must be true?
I. b is even
II. b is a multiple of 5
III. b is a factor of 20
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: C
Question: In a country named "gpuzzles" 1/2 of 5 = 3.
If the same proportion holds, what is the value of 1/3 of 10 ?
Choices:
5
6
9
4
Answer: D
Question: What is the place value of 0 in the numeral 2074?
Choices:
0
2
3
4
Answer: A
Question: Sudesh was standing in the garden early in the morning after sunrise. His sister Gauri, who was coming from the opposite directions, saw that Sudesh's shadow had fallen to his right. Which directions was Gauri facing?
Choices:
South
South-West
North-East
None of these
Answer: A
Question: C individuals pledged to pay equal contributions so that a charity’s goal of $F could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?
Choices:
dF/C(C - d)
dFC
C-d
nc-d
Answer: A
Question: How many distinct prime numbers are factors of 33150?
Choices:
Five
Six
Seven
Eight
Answer: A
Question: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 9 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Choices:
8.3
8.6
8.9
9.5
Answer: D
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.7 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choices:
2:3
2:4
2:1
4:9
Answer: D
Question: The perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
88
66
55
45
Answer: D
Question: Which of the following is the lowest positive integer that is divisible by 5, 6, 7, 8, 9, and 10?
Choices:
2360
2520
2770
2840
Answer: B
Question: A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 4 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Choices:
4
9/5
9/8
12
Answer: B
Question: A bag contains 5 white balls, 4 black balls, and 6 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
0.15
0.35
0.45
0.4
Answer: D
Question: What is greatest positive integer n such that 2^n is a factor of 12^9?
Choices:
b)18
c)16
d)20
e)60
Answer: A
Question: The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. five pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
Choices:
12
24
32
120
Answer: C
Question: At a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Choices:
11/36
7/12
2/3
5/6
Answer: D