antoine-444/aqua_rat_dataset huggingface dataset:
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 10 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Choices:
150
180
240
600
Answer: A
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 204?
Choices:
17
48
51
102
Answer: D
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
9
15
17
18
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
277
342
882
212
Answer: B
Question: Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?
Choices:
306
700
510
520
Answer: A
Question: If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choices:
8/25
2/25
3/14
25/8
Answer: A
Question: A father is now three times as old as his son. Four years back, he was four times as old as his son. The age of the son (in years) is
Choices:
A)12
C)18
D)20
E)22
Answer: A
Question: If x/y is an integer, which of the following must also be an integer?
I. xy
II. y/x
III. x
Choices:
II alone
III alone
I and III
None of the above
Answer: D
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Choices:
50 km
70 km
80 km
85 km
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
20
22
24
26
Answer: A
Question: Rs. 6500 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
1500
900
600
300
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. What is the length of the train?
Choices:
180 metres
324 metres
50 metres
180 metres
Answer: C
Question: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?
Choices:
6 7/9 days
5 1/9 days
5 7/2 days
4 2/7 days
Answer: D
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 60% of the required amount. What is the net difference in the expenditure on that product?
Choices:
25%
15%
17%
19%
Answer: A
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is five 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 quartered by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
64:9
9:64
9:60
20:64
Answer: B
Question: A certain car uses one gallon of gasoline every 32 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. When a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
Choices:
20%
22.5%
25%
30%
Answer: D
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 64. How many papers were there in the examination?
Choices:
9
10
22
12
Answer: C
Question: v, w, x, y, and z are five positive integers for which v≤w≤x≤y≤z. If the average (arithmetic mean) of the five numbers is 30 and their median is 25, which is the smallest possible value of z?
Choices:
35
37
38
40
Answer: C
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
12.5
14.5
None of these
Answer: A
Question: Three workers have a productivity ratio of 4 to 3 to 2. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Choices:
6 to 1
5 to 1
1 to 6
3 to 10
Answer: D
Question: In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?
Choices:
11
13
14
10
Answer: A
Question: If y and g are distinct prime numbers less than 10, which of the following cannot be the product of y and g?
Choices:
9
10
14
15
Answer: A
Question: In a partnership, A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs.4600, B’s share is:
Choices:
Rs.800
Rs.960
Rs.1000
Rs.1200
Answer: A
Question: if
2345 =62
6571 =73
then
8355 =?
Choices:
94
95
96
97
Answer: A
Question: Loren bought a roll of cloth and sold it for a 5% profit based on the selling price. If Loren`s profit was $45.5 total on the cloth, how much did it cost her to buy the cloth?
Choices:
$525.5.
$675.
$810.5.
$864.5
Answer: D
Question: If n is an integer, f(n) = f(n-1) - n and f(4)=12. What is the value of f(6)?
Choices:
1
-1
2
4
Answer: A
Question: What should come in place of the question mark (X) in the following equation ?
60% of X + 2/3 of 39 = 44
Choices:
60
30
20
None of these
Answer: B
Question: Of the teams competing in the world archery championships, Thirty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Choices:
10/20
13/15
17/20
13/17
Answer: A
Question: 3 boys and 7 girls can complete John work in 10 days. 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Choices:
20 days
40 days
60 days
70 days
Answer: B
Question: Reena took a loan of Rs. 1400 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:
5.55%
4.55%
6.55%
7.55%
Answer: A
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 550 bolts?
Choices:
72
120
132
180
Answer: C
Question: Find the cost of fencing around a circular field of diameter 20 m at the rate of Rs.1.50 a meter?
Choices:
94.2
156
158
267
Answer: A
Question: A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent
Choices:
4%
1%
3%
5%
Answer: A
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 20% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
Choices:
5 films and 6 photos
5 films and 14 photos
6 films and 4 photos
2 films and 28 photos
Answer: D
Question: Meena wrote all the numbers from 1 to 59,999 inclusive. How many digits did she write in total?
Choices:
268,889
288,889
308,889
328,889
Answer: B
Question: A company declared a semi-annual dividend of 12%. Find the annual dividend of Sam owing 2000 shares of the company having a par value of Rs. 10 each.
Choices:
4200
4400
4800
5000
Answer: C
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
Choices:
1250
22030
220030
NOne
Answer: C
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 370-meter long platform?
Choices:
47
49
51
53
Answer: C
Question: The amount of water (in ml) that should be added to reduce 6 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
5 ml
4 ml
6 ml
1 ml
Answer: B
Question: A 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
278m
350m
228m
250m
Answer: D
Question: There are 4 prime numbers in ascending order. The multiplication of 1st 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
15
16
13
18
Answer: C
Question: Two taps can separately fill a cistern 4 minutes and 6 minutes respectively and when the waste pipe is open, they can together fill it in 8 minutes. The waste pipe can empty the full cistern in?
Choices:
8
6
9
3.4
Answer: D
Question: In a digital circuit which was to implement (A B) + (A)XOR(B), the designer implements (A B) (A)XOR(B) What is the probability of error in it ?
Choices:
35%
75%
45%
55%
Answer: B
Question: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 46% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
6
15
20
25
Answer: A
Question: If the sides of a triangle are 32 cm, 27 cm and 12 cm, what is its area?
Choices:
112 cm2
162 cm2
666 cm2
886 cm2
Answer: B
Question: 65% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
Choices:
10%
97.14%
90.14%
20%
Answer: B
Question: How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?
Choices:
2
3
4
6
Answer: C
Question: Today is Monday. After 61 days, it will be:
Choices:
Saturday
Tuesday
Thursday
sunday
Answer: A
Question: The cost of 3 pens and 5 pencils is Rs.150. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
Choices:
Rs.250
Rs.300
Rs.450
None of these
Answer: C
Question: A certain galaxy is known to comprise approximately 6 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Choices:
1,250
8,000
12,000
80,000
Answer: C
Question: If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number?
Choices:
18
48
38
59
Answer: A
Question: 6^4− 4^4 = ?
Choices:
52
104
520
1040
Answer: D
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:4
1:2:6
2:3:5
6:5:9
Answer: A
Question: If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is positive, y must be positive
III. If x is negative, y must be negative
Choices:
II only
III only
I and II
II and III
Answer: B
Question: A student completes a 3 part exam as follows. The student completes sections A in 4 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Choices:
9:2
7:1
8:3
11:2
Answer: B
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.1 the sixth number is?
Choices:
9.7
10.5
11.5
12
Answer: A
Question: Bill spends two days driving from Point A to Point B . On the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. If during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?
Choices:
25
28
30
35
Answer: D
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.70400?
Choices:
89100
27772
29889
22312
Answer: A
Question: John can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows John has in his herd?
Choices:
336
456
120
155
Answer: C
Question: If x is an integer and 2.134 × 10^x is less than 21000, what is the greatest possible value for x?
Choices:
6
5
4
3
Answer: D
Question: What is the ratio between perimeters of two squares one having 11 times the diagonal then the other?
Choices:
3: 6
3: 7
11: 1
3: 3
Answer: C
Question: 1/2-[(2/7*7/32)+1]+9/16=
Choices:
19/16
15/16
9/13
0
Answer: D
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 10.5km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
21 hours
Answer: D
Question: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
Choices:
11/120
11/121
11/140
11/111
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 7 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
22:13
23:12
36:25
11:10
Answer: C
Question: The number 50 is divided into two equal parts, the ratio of the largest part to the smallest is 2/3, then the largest part is?
Choices:
30
40
45
20
Answer: A
Question: How many W ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Choices:
16
28
32
56
Answer: C
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?
Choices:
47 hours
17 hours
27 hours
16 hours
Answer: B
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 60 kms in 3 hrs. In what time would it cover the same distance upstream?
Choices:
6 hours
4 hours
15 hours
6 hours
Answer: C
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 6 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
9
12
15
Answer: B
Question: 3889 + 12.952 - ? = 3854.002
Choices:
48.95
49.85
47.95
49.75
Answer: C
Question: A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Choices:
9 gallons
6.5 gallons
5.5 gallons
6 gallons
Answer: A
Question: the probability of a student possessing a ball point pen in exam is 3/5 & possessing an ink pen is 2/3. find his probability of possessing at least one of them
Choices:
11/15
12/15
13/15
14/15
Answer: C
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
Choices:
Rs.2166.67
Rs.2157
Rs.2167.1
Rs.2178.34
Answer: A
Question: A sporting goods store carries only yellow and white golf balls. At the beginning of the day it had 625 golf balls in stock, and by the end of the day it had sold 80% of its inventory of golf balls. If the store sold an equal number of yellow and white golf balls, and in doing so sold all of its white golf balls, how many yellow golf balls did the store have to begin the day?
Choices:
125
225
325
375
Answer: D
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 294. What is the rate of interest per annum?
Choices:
12
9
14
16
Answer: C
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has 80 paisa, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choices:
Rs.185
Rs.285
Rs.385
Rs.475
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
828
729
34
35
Answer: D
Question: How many FIVE letter words are formed using the letters of the word LEADER?
Choices:
720
230
460
940
Answer: A
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range M of the 10 numbers?
Choices:
27
30
52
55
Answer: C
Question: Keshav runs a factory in three shifts of eight hours each with 210 employees. In each shift minimum of 80 employees are required to run the factory effectively. No employees can be allowed to work for more than 16 hours a day. At least how many employees will be required to work for 16 hours every day?
Choices:
30
50
60
70
Answer: A
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 600, then x must be a multiple of which of the following?
Choices:
6.
7.
8.
10.
Answer: D
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find out the average age of the team.
Choices:
23 years
24 years
21 years
22 years
Answer: A
Question: A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC and passes through the other two vertices. The side AC extended through C intersects the circle at D. The number of degrees of angle ADB is:
Choices:
30
837
37
18
Answer: A
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "X", and assuming that there are only 15 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
B)9/100
C)1/8
D)1/13
E)9/10
Answer: C
Question: ? x 12 = 173 x 240
Choices:
3460
865
495
534
Answer: A
Question: A seller mixed 4 dozen bananas costing Rs.12 per dozen with 6 dozen bananas at Rs.8 per dozen then what is the cost price of mixed bananas per dozen?
Choices:
Rs.10
Rs.9.6
Rs.10.2
None of the above
Answer: B
Question: If 5^21 X 4^11 = 2x10^n. What is the value of n?
Choices:
21
22
23
32
Answer: A
Question: Walking across campus, a student interviewed a group of students. 20% of the students took a finance class last semester, 45% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
25%
15%
5%
Answer: D
Question: In an examination 42% students failed in Hindi and 52% failed in English. If 17% failed in both of these .subjects, what is the percentage of students who passed in both the subjects ?
Choices:
25
72
35
23
Answer: D
Question: Find the least number that must be subtracted from 1387 so that the remaining number is divisible by 15.
Choices:
5
7
9
13
Answer: B
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
230m
250m
260m
270m
Answer: A
Question: A classroom has equal number of boys and girls. TEN girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
Choices:
24
32
48
40
Answer: D
Question: Celine worked for h hours each day for d consecutive days. If she earns $7.50 per hour, what is the total amount she earned?
Choices:
7.50 + d + h
7.50 + dh
7.50dh
7.50h + d
Answer: C
Question: The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement Q for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
9
24
20
29
Answer: B
Question: A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $38,000 commission, how many machines did she sell?
Choices:
103
105
115
120
Answer: D
Question: The cost of an article is decreased by 10%. If the original cost is $100, find the decrease cost.
Choices:
11
68
36
90
Answer: D
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.95?
Choices:
1170
1530
1720
1960
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 6 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
487
720
729
268
Answer: B
Question: A person spent Rs. 6,040 from his salary on food and 8,000 on house rent. After that he was left with 70% of his monthly salary. What is his monthly salary ?
Choices:
46,800
56,800
26,800
76,800
Answer: A
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 40 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary?
Choices:
1/2
1
4
5
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
6 km
4 3/8 km
9 km
5 km
Answer: B
Question: In a particular gumball machine, there are 4 identical blue gumballs, 3 identical red gumballs, 2 identical green gumballs, and 1 yellow gumball. In how many different ways can the gumballs be dispensed, 1 at a time, if the 3 red gumballs are dispensed last?
Choices:
105
315
420
630
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
45 km/hr
65 km/hr
87 km/hr
Answer: A
Question: What least number must be subtracted from 427398 so that remaining number is divisible by 15
Choices:
3
7
9
None of these
Answer: A
Question: A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
Choices:
220
140
120
145
Answer: B
Question: The age of teacher is the same as the digit in the student's age, but in reverse order. In five years teacher will be twice as old as student will be then. what is the difference in their current age ?
Choices:
18
25
13
7
Answer: A
Question: What is the ratio of 3/7 to the product 3*(7/3)?
Choices:
1:3
3:21
1:7
3:49
Answer: D
Question: A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 80. When the number of legs was counted, the number totaled up to 218. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
Choices:
18
20
22
24
Answer: C
Question: In what time will a train 400 meters long cross an electric pole, if its speed is 144 km/hr
Choices:
4.5 seconds
10 seconds
2.5 seconds
None of these
Answer: B
Question: If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be 10 and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Choices:
1/2652
12/2652
18/2652
16/2652
Answer: C
Question: Simplify 64568 * 9999
Choices:
645615432
289546354
558666666
236669855
Answer: A
Question: If a positive odd integer N has p positive factors, how many positive factors will 4N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: D
Question: A man rows his boat 84 km downstream and 60 km upstream, taking 4 hours each time. Find the speed of the stream?
Choices:
6 kmph
14 kmph
8 kmph
3 kmph
Answer: D
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 65,536,000,000 and x + y + z = 17, what is the value of xy/z?
Choices:
0
3
5
7
Answer: A
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 2w widgets.
Choices:
6
8
10
12
Answer: D
Question: A teacher gave the same test to three history classes: M, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
78
Answer: A
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 2/4%
16 2/3%
16 2/1%
16 2/6%
Answer: B
Question: A seamstress sells 200 metres of ribbon for Rs. 10000 at a loss of Rs. 7 per metre. Find her cost price for one metre of ribbon?
Choices:
43
26
34
57
Answer: D
Question: X and Y are both integers. If X/Y = 57.40, then what is the sum of all the possible two digit remainders of X/Y?
Choices:
616
450
900
1024
Answer: B
Question: In the xy plane line m has the equation 4x + y = w. Line n passes through the origin and is perpendicular to line m. If point p has the coordinates (r, r+1) and is on both line n and m what is the value of r?
Choices:
-4/3
-4
3/4
4/3
Answer: A
Question: If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
Choices:
1000
2878
27878
2112
Answer: A
Question: By selling a book for 300, 20% profit was earned. What is the cost price of the book?
Choices:
B)250
C)230
D)235
E)240
Answer: A
Question: How many of the following numbers are divisible by 21 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
5
1
7
Answer: C
Question: Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6069, how much amount did Raghu invest ?
Choices:
2887
2100
1129
1192
Answer: B
Question: If xy=4, x/y=16, for positive numbers x and y, y=?
Choices:
1/2
1/3
3
1/6
Answer: A
Question: A theater box office sold an average (arithmetic mean) of 63 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 78, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Choices:
1:4
1:5
6:11
4:7
Answer: B
Question: A boy has 9 trousers and 9 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
81
104
94
110
Answer: A
Question: When a jogger moves at an average speed of 6 kmph, they reach their destination on time. When their average speed becomes 4 kmph, they reach their destination 15 minutes late. Find the length of journey.
Choices:
3 km
7 km
6 km
None
Answer: A
Question: The average of 100,200,300 and x is 250 and the average of 300,150,100,x and y is 200. What is the value of y?
Choices:
150
50
200
250
Answer: B
Question: An express traveled at an average speed of 200 km/hr, stopping for 3 min after every 125 kn. How long did it take to reach its destination 800 km from the starting point?
Choices:
4 hrs 18 min
6 hrs 41 min
6 hrs 21 min
4 hrs 34 min
Answer: A
Question: A rower whose speed is 6 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km/hr. What is the rower's average speed (in km/hr) for the total journey?
Choices:
4.2
4.5
4.8
5.1
Answer: B
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5 and 6 such that the numbers are divisible by 9?
Choices:
2
4
6
8
Answer: B
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
14 sec
78 sec
10 sec
12 sec
Answer: C
Question: A certain team consists of 4 professors and 6 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
Choices:
100
120
288
600
Answer: A
Question: What is the probability that the sum of two dice will yield a 7, and then when both are thrown again, their sum will again yield a 7? assume that each die has 6 sides with faces numbered 1 to 6.
Choices:
1/36
1/12
1/6
1/3
Answer: A
Question: In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 27 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Choices:
18
24
30
36
Answer: B
Question: If x and y are nonnegative integers, both less than or equal to 2, then we say that (x; y) is a
friendly point. Compute the number of unordered triples of friendly points that form triangles
with positive area.
Choices:
45
67
76
82
Answer: C
Question: If 15% of 30% of 50% of a number is 99, then what is the number?
Choices:
3050
4400
4500
None of these
Answer: B
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 52 black cars in the lot, how many red cars are there in the lot?
Choices:
20
24
27
32
Answer: A
Question: The original price of a suit is $200. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit?
Choices:
$192
$200
$208
$216
Answer: A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
68%
18%
48%
64%
Answer: B
Question: Look at this series: 52, 49, 54, 51, 56, 53, ... What number should come next?
Choices:
58
52
50
62
Answer: A
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Choices:
Rs. 69
Rs.72
Rs.75
Rs.90
Answer: B
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
Choices:
150 d
160 d
155 d
165 d
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 56, the dividend is:
Choices:
6334
7896
8356
8400
Answer: B
Question: When n is divided by 5 the remainder is 3. What is the remainder when (n + 1)^2 is divided by 5?
Choices:
1
2
3
4
Answer: A
Question: Coins are to be put into 8 pockets so that each pocket contains at least one coin. At most 4 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
Choices:
18
17
22
28
Answer: A
Question: What is the greatest prime factor of 1+2+3+。。。+52?
Choices:
53
31
37
41
Answer: A
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 4:20:60. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Choices:
1200
1300
1400
1450
Answer: A
Question: The food in a camp lasts for 10 men for 50 days. If 10 more men join, how many days will the food last?
Choices:
25 days
50 days
16 days
17 days
Answer: A
Question: if x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?
Choices:
7
8
6
data insufficient
Answer: A
Question: In a class there are 20 boys and 22 girls. In how many ways can a boy and a girl be selected?
Choices:
440
800
570
503
Answer: A
Question: In a dairy farm, 30 cows eat 30 bags of husk in 30 days. In how many days one cow will eat one bag of husk?
Choices:
40
20
26
30
Answer: D
Question: The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is
Choices:
10
70
90
None
Answer: A
Question: If -2<= x <= 2 and 3 <= y <= 10, which of the following represents the range of all possible values of y-x?
Choices:
1 <= y-x <= 12
1 <= y-x <= 6
5 <= y-x <= 10
1 <= y-x <= 10
Answer: A
Question: 5 friends visited a fruit stall, and everyone decided to contribute equally to the total bill of $100. If one of the friends had a coupon for 6% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
18.8
19
17.8
17.9
Answer: A
Question: Dan can do a job alone in 15 hours. Annie, working alone, can do the same job in just 10 hours. If Dan works alone for 12 hours and then stops, how many hours will it take Annie, working alone, to complete the job?
Choices:
2
6
8
10
Answer: A
Question: A positive number x is multiplied by 3, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
2/3
1/2
Answer: B
Question: How many zeros does 10! end with?
Choices:
4
4
3
2
Answer: D
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
268
276
299
174
Answer: D
Question: If the sum of 1/3 and 1/5 is converted to a decimal, what is the 3000th digit to the right of the decimal place?
Choices:
3
5
8
9
Answer: A
Question: On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 7),
what is the maximum possible area of C?
Choices:
9
24
32
64
Answer: B
Question: what is the sum of all even integers between 99 and 301?
Choices:
20200
40400
40000
44000
Answer: A
Question: The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
Choices:
500
287
197
172
Answer: A
Question: Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^3
Choices:
22
25
30
29
Answer: C
Question: How many odd numbers are possible between 1 to 100000? find out the number of odd number of digits?
Choices:
3500
4000
4599
49999
Answer: D
Question: On a scale of map, 0.4 cm represents 5.3 km. If the distance between the points on the map is 64 cm, the actual distance between these points is:
Choices:
72.5 km
190.75 km
848 km
None of these
Answer: C
Question: If three sides of the triangle are 8 , 15 and S respectively then the how many values can S ?
Choices:
[B] 7
[C] 8
[D]9
[E] infinite number of values
Answer: C
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 , 1 or 3, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choices:
142
160
168
176
Answer: A
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:
8.79
8.75
8.78
8.71
Answer: B
Question: Donald has five different kinds of fruit to choose from at the grocery store. How many ways can he buy one or more types of fruit?
Choices:
54
43
31
29
Answer: C
Question: What is the unit digit in (4137)^754?
Choices:
9
12
13
15
Answer: A
Question: The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Choices:
72
23
35
28
Answer: C
Question: A rectangular football field is fenced on all four sides. The length of the football field is 3 times the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 25% of its original value and fence the field again.. What will be the cost of the new fencing?
Choices:
$180
$425
$337.5
$415
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 4
3 : 5
3 : 28
Answer: A
Question: REDO’s manufacturing costs for sets of horseshoes include a $10,000 initial outlay, and $20 per set. They can sell the sets $50. If profit is revenue from sales minus manufacturing costs, and the company producessells 500 sets of horseshoes, what was their profit?
Choices:
$3500
$5500
$5000
$6300
Answer: C
Question: A trader sells 80 meters of cloth for Rs. 6900 at the profit of Rs. 20 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
75
90
78
66
Answer: D
Question: Which smallest prime number is:
Choices:
28
32
42
19
Answer: D
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Choices:
30
32
40
46
Answer: A
Question: A dealer offers a cash discount of 10% and still makes a profit of 20% when he further allows 45 articles to be sold at the cost price of 40 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?
Choices:
50%
55%
80%
90%
Answer: A
Question: s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits R are in s(99)?
Choices:
R=353
R=354
R=356
357
Answer: A
Question: Two equal containers are filled with a mixture of water and petrol. One of them contains three times as much petrol as in the other. The mixtures in the two containers are then mixed and it is found that the ratio of water to petrol is 3: 2: Find the ratio of water to petrol in each of the original containers.
Choices:
1:3, 1:2
2: 3, 4: 1
2: 5, 4: 1
None of the above
Answer: B
Question: Some scientists take their boat, the Vollert, out to an artificial reef they are studying. Nice weather on the way out means they can travel at 12 knots, but a storm blows in and they can only travel at 5 knots on the way home. What was their average speed for the whole trip?
Choices:
2.5 knots
17 knots
7 knots
8.5 knots
Answer: D
Question: John was thrice as old as Tom 6 years ago. John will be 9/7 times as old as Tom in 6 years. How old is Tom today?
Choices:
8
10
12
14
Answer: A
Question: Calculate the time it will take for a full tank to become completely empty due to a leak given that
the tank could be filled in 7 hours, but due to the leak in its bottom it takes 8 hours to be filled ?
Choices:
54 hours
59 hours
56 hours
26 hours
Answer: C
Question: Which greatest possible length can be used to measure exactly 12 meter 34 cm, 8 meter 98 cm and 6 meter 65 cm
Choices:
1cm
24cm
55cm
50cm
Answer: A
Question: In a bag contains 8 White balls and 6 black balls from the bag two balls are taken out at random. Find the Probability that they are of the same color ?
Choices:
43/91
52/91
61/91
47/91
Answer: A
Question: If the square of a Positive Number X is equal to five times the same Number then what is the value of X?
Choices:
25
8
5
10
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.24000. A's share is?
Choices:
s.8000
s.6000
s.5750
s.6750
Answer: A
Question: If 1535/ 1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e?
Choices:
175/2
178/3
187 by 2
197/2
Answer: C
Question: A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
Choices:
22 days
27 days
12 days
99 days
Answer: B
Question: If shares of two persons in profits are Rs.1600 and Rs.1200 then ratio of their capitals is
Choices:
2:3
4:3
1:3
1:2
Answer: B
Question: The fourth proportional to 9, 14 and 18 is?
Choices:
28
88
99
26
Answer: A
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
190
150
278
292
Answer: B
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Choices:
28
12
45
21
Answer: A
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3% loss
16 2/8% loss
17 2/3% loss
13 2/3% loss
Answer: A
Question: 1,3,5,7,9,....50 find term of sequnce
Choices:
1200
1300
1800
2500
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:
3^5
5^3
2
4
Answer: A
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 40.
Choices:
4
7
32
35
Answer: B
Question: A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed T of the train.
Choices:
b) 33
c) 48
d) 55
e) 61
Answer: B
Question: If the average (arithmetic mean) of a and b is 45 and the average of b and c is 90, what is the value of c âˆ’ a?
Choices:
90
100
140
It cannot be determined from the information given
Answer: A
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/27
5/29
5/25
Answer: A
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
290
300
310
Answer: A
Question: The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 7 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
20
18
12
6
Answer: C
Question: Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 yrs of age.
Assumptions:
1) There are unemployed youth in India who needs monetary support.
2) The government has sufficient funds to provide allowance to all unemployed youth.
Choices:
Only assumption I is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Answer: A
Question: In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?
Choices:
8N/9
11N/18
17N/18
31N/36
Answer: C
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 40 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Choices:
80
100
120
140
Answer: B
Question: Two persons starting from the same place walk at a rate of 10kmph and 12.5kmph respectively. What time will they take to be 10km apart, if they walk in the same direction?
Choices:
4 hrs
6 hrs
12 hrs
16 hrs
Answer: A
Question: A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,020 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
Choices:
30
35
40
45
Answer: C
Question: The number of positive integer solutions for the equation x +y +z + t = 18 is
Choices:
780
380
540
680
Answer: D
Question: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?
Choices:
5
7
3
2
Answer: C
Question: If two sides of a triangle have lengths 3 and 6, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
Choices:
I only
II only
II and III only
I, II, and III
Answer: B
Question: Pipe A can fill a tank in 20 hrs and pipe B can fill it in 60 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill quarter of that tank?
Choices:
3 hr 25 mins
3 hr 35 mins
3 hr 45 mins
3 hr 55 mins
Answer: C
Question: A shopkeeper loses 15%,if an article is sold for $102. What should be the selling price of the article to gain 20%?
Choices:
$174
$144
$164
$183
Answer: B
Question: If a coin is tossed 5 times what is the probability that it will land either heads 5 times or tails 5 times?
Choices:
1/8
1/16
1/32
1/64
Answer: B
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/3
5/2
5/6
5/9
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
20/7 sec
60/7 sec
65/7 sec
Answer: A
Question: At 6'o clock clock ticks 6 times. The time between first and
last ticks was 30sec. How much time it takes at 9'o clock.
Choices:
62sec
66sec
48sec
76sec
Answer: C
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 12 minutes is:
Choices:
5
7
6
51
Answer: A
Question: Two kinds of Vodka are mixed in the ratio 2:6 and 6:3 and they are sold fetching the profit 10% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
18%
23%
Cannot be determined
Answer: A
Question: A number x is 18 times another number y. The percentage that y is less than x is
Choices:
87.5%
80%
94.4%
1%
Answer: C
Question: A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?
Choices:
9
7
6
4
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
7/20
16/19
3/5
4/5
Answer: A
Question: On a certain transatlantic crossing, 25 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
Choices:
40%
50%
62.5%
66 2/3%
Answer: C
Question: The number of oranges in three basket are in the ratio 3 : 4 : 5. In which ratio the no. of oranges in first two basket must be increased so that the new ratio becomes 5 : 4 : 3 ?
Choices:
2:3
1:3
2:1
None of these
Answer: C
Question: 225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
10
15
16
17
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
36 km/hr
71.11 km/hr
71 km/hr
72 km/hr
Answer: B