antoine-444/aqua_rat_dataset huggingface dataset:
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
336
347
Answer: B
Question: Two pipes A and B can separately fill a cistern in 24 minutes and 48 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 12 minutes. In how much time, the third pipe alone can empty the cistern?
Choices:
48 min
54 min
120 min
130 min
Answer: A
Question: There are 6 people in the elevator. Their average weight is 154 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
Choices:
133
189
190
200
Answer: A
Question: A, Band C can do a piece of work in 11 days, 45 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choices:
8 days
9 days
10 days
11 days
Answer: B
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Choices:
34
36
42
45
Answer: B
Question: A baseball card decreased in value 40% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
46%
32%
36%
72%
Answer: A
Question: A student scored an average of 75 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
16
76
95
26
Answer: C
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
27772
23123
13500
28811
Answer: C
Question: The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/6 of that total. What was the price of the basic computer?
Choices:
1600
1750
1900
2000
Answer: D
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Choices:
253
370
352
382
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Choices:
285
366
288
261
Answer: A
Question: There are two numbers. If 55% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
B)5/8
C)5/11
D)6/7
E)7
Answer: B
Question: In how many years Rs 100 will produce the same interest at 5% as Rs. 600 produce in 4 years at 10%
Choices:
52
50
46
48
Answer: D
Question: A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choices:
1/4
1/5
1/6
1/7
Answer: A
Question: How many digits are required to number a book containing 250 pages?
Choices:
642
492
372
250
Answer: A
Question: In how many ways can the letters of the word ACTUAL be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
(4! *3!)/2!
3!*3!/2
Answer: C
Question: If x and y are both prime numbers greater than 10, which of the following CANNOT be true?
I. xy is an even number.
II. x - y = 117.
III.The sum of x and y is even.
Choices:
I only
I and III only
II and III only
I, II and III
Answer: C
Question: There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 1/7. What is the probability that the marble will be either red or blue?
Choices:
9/14
11/14
17/28
23/28
Answer: C
Question: A worker makes a toy in every 1h. If he works for 100h, then how many toys will he make ?
Choices:
54
45
39
100
Answer: D
Question: A chessboard is an 8×8 array of identically sized squares. Each square has a particular designation, depending on its row and column. An L-shaped card, exactly the size of four squares on the chessboard, is laid on the chessboard as shown, covering exactly four squares. This L-shaped card can be moved around, rotated, and even picked up and turned over to give the mirror-image of an L. In how many different ways can this L-shaped card cover exactly four squares on the chessboard?
Choices:
336
424
512
672
Answer: A
Question: A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is
Choices:
1:10
1:15
1:20
1:25
Answer: A
Question: A train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
Choices:
150
988
177
225
Answer: D
Question: The number 94 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?
Choices:
5
7
8
9
Answer: B
Question: The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 9!?
Choices:
4(5!)
6(5!)
5(5!)
7(5!)
Answer: C
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 72 seconds. What is the length of each train (in meters)?
Choices:
80
90
100
110
Answer: C
Question: A certain article of clothing was discounted during a special sale to 2/3 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
Choices:
22.22%
25%
16.66%
12.5%
Answer: A
Question: In a lottery, there are 10 prizes and 20 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/5
1/3
5/7
None
Answer: B
Question: In a 500 m race, Ravi beats Ramesh by 5 seconds or 100 m. They decide to run another race and this time Ravi gives Ramesh a head tart of 200 m. If Ravi’s speed is twice his previous speed and Ramesh’s speed is one and half times his previous speed, how far from the starting point should the winning post be so that they finish at the same time?
Choices:
500 m
1500 m
2000 m
2500 m
Answer: A
Question: What is the Compound Interest on Rs.9500 at 6% p.a. compounded half-yearly for 1 1/2 years.
Choices:
840.91
880.91
887.91
980.91
Answer: B
Question: Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards.last year each of them discovered that every tree in their own orchard bore exactly d same no of apples.further,if d 3rd farmer gives one apple to the 1st,& the 5th gives 3 to each of the 2nd & d 4th,they would all exactly have the same no of apples, what were d yields per tree in the orchards of d 3rd & 4th farmers?
Choices:
10,11
11,12
11,9
11,8
Answer: C
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:
17/25
17/76
17/20
17/23
Answer: C
Question: Find the probability that a non leap year selected at random will have 53 Sundays
Choices:
5/7
4/7
3/7
1/7
Answer: D
Question: Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 45 percent of the employees prefer City Y and 55 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Choices:
100
115
130
135
Answer: C
Question: Johnny has 4 classes. He averaged a mark of 83 in those classes. If Johnny takes night school and scores an 88 in the course, what will his new average be?
Choices:
84
85
85.5
86
Answer: A
Question: A student chose a number, multiplied it by 7, then subtracted 150 from the result and got 130. What was the number he chose?
Choices:
40
44
46
48
Answer: A
Question: The surface area of a cube is 1734 sq. cm. Find its volume
Choices:
3356 cubic.cm
4913 cubic.cm
3478 cubic.cm
None of these
Answer: B
Question: A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 150 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Choices:
210
300
310
320
Answer: A
Question: The average of 11 numbers is 10.6. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choices:
11.5
81.5
14.8
21.5
Answer: C
Question: A toy store regularly sells all stock at a discount of 10 percent. If an additional 10 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $10 before any discount?
Choices:
$8.00
$8.10
$8.27
$9.00
Answer: B
Question: A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 680 dollars, and, in a third, loses 80. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ?
Choices:
300
-350
-380
None
Answer: B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70 percent
100%
120%
None
Answer: A
Question: 6+3+2 = 242116
8+9+1 = 727216
5+7+4 = 505644
2+7+5 =?
Choices:
224220
224230
224240
224250
Answer: C
Question: The ratio 25:50 expressed as percent equals to
Choices:
50 %
25 %
75 %
None of above
Answer: A
Question: Find the C.I. on a sum of Rs.10000 for 6 months at 25% per annum, interest being compounded quarterly?
Choices:
5290
1289
1290
2290
Answer: B
Question: If pqr < 0 and qr > 0, which of the following must be positive?
Choices:
xz
(p^2)qr
p(q^2)r
xy(z^2)
Answer: B
Question: 56 +57+58+59=230. How many such 4 consecutive numbers are there less than 500 when added gives a sum which is divisible by 10?
Choices:
100
300
400
500
Answer: A
Question: Consider a quarter of a circle of radius 36. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Choices:
8*(sqr3 -1)
4*(sqr7 - 1)
36* (sqr2 -1)
None of these
Answer: C
Question: In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Choices:
3!*8!*4!*4! ways
3!4! ways
3!*5! ways
3!*6! ways
Answer: A
Question: A woman named Ragavi started a business investing Rs. 7,000. Roja joined him after six months with an amount of Rs. 7,000 and Sachin joined them with Rs. 7,000 after another six months. The amount of profit earned should be distributed in what ratio among Ragavi, Roja and Sachin respectively, 3 years after A woman started the business ?
Choices:
12:15:16
42:45:56
42:45:55
6:5:4
Answer: D
Question: Dan's age after 16 years will be 4 times his age 8 years ago. What is the present age of Dan?
Choices:
16
20
24
28
Answer: A
Question: A train covers a distance of 18 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
180m
240m
220m
280m
Answer: A
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 5 pens costing 3 dollars each.How much did Maria pay?
Choices:
40 dollars
45 dollars
60 dollars
70 dollars
Answer: B
Question: The present ages of three persons in proportions 4 : 7 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
20, 35, 25
16, 28, 34
16, 28, 33
Answer: B
Question: Jackson has $313,192 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
Choices:
$1
$3
$4
$5
Answer: A
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat(in still water) and the stream is
Choices:
1:3
2:1
3:1
None
Answer: C
Question: How many words can be formed by using all letters of word ALIVE.
Choices:
120
128
261
191
Answer: A
Question: one person Tharak speed with the current is 10 km/hr and the speed of the current is 4 km/hr. Tharak's speed against the current is:
Choices:
1 km/hr
2 km/hr
3 km/hr
4 km/hr
Answer: B
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
2%
3%
4%
6%
Answer: C
Question: The smallest number when increased by " 1 " is exactly divisible by 6,18,36,48, 60 is:
Choices:
721
720
719
700
Answer: C
Question: A cyclist traveled for two days. On the second day the cyclist traveled 3 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
Choices:
10 mph
20 mph
30 mph
40 mph
Answer: A
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
Choices:
42
48
112
76
Answer: C
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
992
678
480
131
Answer: C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
7
8
9
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
1:3
2:1
1:4
1:5
Answer: B
Question: 54.327 × 357.2 × 0.0057 is the same as :
Choices:
5.4327 × 3.572 × 5.7
5.4327 × 3.572 × 0.0000057
None of these
Cannot be determined
Answer: A
Question: A bag contains 4 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
2/5
3/5
11/15
17/33
Answer: D
Question: If 100<x<190 and 10<y<100, then the product xy CANNOT be equal to:
Choices:
18,303
18,356.732
19,502
18,909
Answer: C
Question: A teacher prepares a test. She gives 6 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 3 questions have 3 choices and the last 3 have 4 choices.
Choices:
1816
1872
100
144
Answer: B
Question: Find 356 x 936 - 356 x 836 = ?
Choices:
35600
49630
93600
None
Answer: A
Question: The milk level in a rectangular box measuring 64 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
750
5625
6000
Answer: D
Question: 7 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
48
45
42
22
Answer: C
Question: P can do a certain work in 16 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
Choices:
9
10
11
12
Answer: B
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
19 3/7
11 3/5
11 3/7
11 3/1
Answer: C
Question: If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
Choices:
20
18
16
None of these
Answer: B
Question: In March, Kurt ran an average of 1.2 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Choices:
2980/60^2
2390/60^2
3586/60
60^2/3590
Answer: A
Question: A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $19 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
Choices:
$28.50
$29.50
$30.50
$31.50
Answer: A
Question: A person takes 5 hrs 45 min in walking to a place and riding back. He would have gained 4 hrs by riding both ways. The time he would take to walk both ways is?
Choices:
5 hours 55 min
6 hours 45 min
9 hours 45 min
10 hours
Answer: C
Question: Find the area of a parallelogram with base 12 cm and height 8 cm?
Choices:
96 cm2
78 cm2
86 cm2
76 cm2
Answer: A
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 25 p coins are there?
Choices:
30
25
50
40
Answer: C
Question: A train 200 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds
Choices:
12 sec
7 sec
8 sec
9 sec
Answer: A
Question: In a store, the profit is 320% of the cost. If the cost increases by 25% but the SP remains constant, approximately what %of the sp is the profit?
Choices:
70%
90%
100%
140%
Answer: A
Question: If a - b = 5 and a2 + b2 = 29, find the value of ab.
Choices:
A)2
C)15
D)18
E)20
Answer: A
Question: The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. What is the average age of the family ?
Choices:
20 years
18 years
19 years
17 years
Answer: C
Question: If n = 8^8 – 7, what is the units digit of n?
Choices:
1
2
7
4
Answer: C
Question: 9.009/5.005 =
Choices:
1.4
1.8018
1.4014
1.8
Answer: D
Question: Which of the following describes all values of x for which 36–x^2 >= 0?
Choices:
x <= –1
-6 <= x <= 6
x <= –1 or x >= 1
–1 <= x <= 1
Answer: B
Question: In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 55%, and the students on the make-up date had an average score of 95%, what was the average score for the entire class?
Choices:
65%
67%
70%
75%
Answer: B
Question: If 15 men, working 9 hours a day, can reap a field in 16 days, in how many days will 18 men reap the field, working 8 hours a day?
Choices:
15
20
25
None of them
Answer: A
Question: The average of 50 numbers id 44. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Choices:
33.25
22.25
11.35
43.75
Answer: D
Question: 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants
Choices:
6000
6500
7000
8000
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is?
Choices:
11
15
12
20
Answer: A
Question: Which of the following is a multiply of 4 number ?
Choices:
120
45
82
17
Answer: A
Question: There is a group of persons each of whom can completea piece of work in 16 days, when they are working individually. On the 1st day 1 person works, on the second day another person joins him, on the third day one more person joins them & this process continues till the work is completed. How many days are needed to complete the work?
Choices:
5 1⁄3 days
5 1⁄6 days
6 1⁄6 days
7 1⁄6 days
Answer: B
Question: What is the units digit of 6^m(2^7+1), for a positive integer m?
Choices:
3
4
7
0
Answer: B
Question: Bill has a collection of new and used trading cards that he stores in two albums. His first album contains 200 cards, 60% of which are used. If 90% of the cards in his second album are used, and 65% of all of his cards are used, what is the total number of trading cards in Bill’s collection?
Choices:
260
254
240
156
Answer: C
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 20 days.
Choices:
12 days.
18 days.
19 days.
20 days.
Answer: A
Question: 9, 35, 91, 189, 341, ?
Choices:
521
559
611
712
Answer: B
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (1/3)kmph
21 (7/3)kmph
27 (1/3)kmph
21 (1/8)kmph
Answer: A
Question: A team of four entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
329
168
127
664
Answer: A
Question: Product of two natural numbers is 5. Then, the sum of reciprocals of their squares is
Choices:
26/25
290/90
290/19
None of these
Answer: A
Question: In how many ways can the letters of the word WORDS be arranged in a row so that the vowels appear in alphabetic order?
Choices:
120
180
220
160
Answer: A
Question: Raj and Roshan has some money with them in the ratio 5:4 respectively. If Raj has Rs. 45. How much money Raj has more than Roshan?
Choices:
9
16
12
18
Answer: A
Question: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
29
31
41
35
Answer: C
Question: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $2,395, what was the total number of pairs of contact lenses that she sold?
Choices:
13
15
17
19
Answer: D
Question: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 km/h and the speed of the boat in still water is 14 km/h, what is the distance between A and B?
Choices:
180 km
160 km
220 km
None of these
Answer: A
Question: With the money I have , I can buy 50 pens or 150 pencils. I kept 10% aside for taxi fare. With the remaining , I purchased 54 pencils and P pens. What is the value of P?
Choices:
30
27
25
23
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
2882
1200
2999
2123
Answer: B
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Choices:
3 9/19 hrs
3 9/17 hrs
3 3/17 hrs
4 9/17 hrs
Answer: B
Question: A basket has 7 apples and 5 oranges. FOUR fruits are picked at random. The probability that at least 3 apples are picked is
Choices:
43/99
42/99
49/99
52/99
Answer: B
Question: What is the product of all the prime factors of 21?
Choices:
21
18
17
16
Answer: A
Question: In the Land of Oz only one or two-letter words are used. The local language has 67 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
Choices:
66
67
131
134
Answer: D
Question: Two whales are moving in the same direction at 18 mps and 15 mps. The faster whale crosses the slow whale in 15 seconds. What is the length of the slower whale in meters?
Choices:
45 m
39 m
33 m
62 m
Answer: A
Question: Little Krish had $200.50. He spent $35.25 on sweets and gave to his two friends $25.20 each. How much money was left?
Choices:
$214.85
$ 114.85
$314.85
$104.85
Answer: B
Question: The salary of A, B, C, D, E is Rs. 9000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Choices:
Rs. 8200
Rs. 8500
Rs. 9000
None
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 14 cm
Choices:
179 cm2
266 cm2
167 cm2
197 cm2
Answer: B
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
77
298
540
882
Answer: C
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
11 kmph.
51 kmph.
61 kmph.
71 kmph.
Answer: A
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
Choices:
14
15
19
10
Answer: B
Question: Divide 952 to A,B,C IN 37:18:13 RATIO.CALCULATE PART OF A.
Choices:
518
552
526
624
Answer: A
Question: If the sum of 5 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 5
Choices:
II only
III only
I and III
II and III
Answer: B
Question: 9. The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
Choices:
42
32
37
39
Answer: C
Question: The contents of two vessels containing copper and tin in the ratio 2:3 and 5:7 are mixed in the ratio 3:5. The resulting mixture will have copper and tin in the ratio?
Choices:
312:433
178:213
197:283
145:256
Answer: C
Question: Suraj has a certain average of runs for 12 innings. In the 13th innings he scores 96 runs thereby increasing his average by 5 runs. What is his average after the 13th innings?
Choices:
64
36
72
27
Answer: B
Question: If a+b=−9, and a=30/b, what is the value of a^2+b^2?
Choices:
21
41
61
51
Answer: A
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
Choices:
528
626
657
673
Answer: A
Question: The speed of a boat in upstream is 70 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
05 kmph.
18 kmph.
11 kmph.
12 kmph.
Answer: A
Question: To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
173.6
347.1
694.4
705.6
Answer: A
Question: The equation of line s is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line s?
Choices:
50
60
75
100
Answer: B
Question: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2017) = ?
Choices:
2018
270
1881
1781
Answer: A
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:
25600.24
25600.29
25600.29
25600.29
Answer: A
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
80/6 sec
89/7 sec
50/7 sec
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 3 years at 3 1/2 percent?
Choices:
500
367
368
666.7
Answer: D
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
20
35
46
50
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600 is greatest number
9670
9800
Answer: B
Question: How many 4-digit positive integers are there in which all 4 digits are even?
Choices:
600
500
400
256
Answer: B
Question: The sum of two consecutive integers is 41. Find the numbers.
Choices:
7, 8
5, 6
20,21
8, 9
Answer: C
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 30 paise per sq. metre
Choices:
s255
s880
s480
s980
Answer: A
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 45 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
24%
25%
29%
28%
Answer: C
Question: A meeting has to be conducted with 5 employees.Find the number of ways in which the employees may be selected from among 8 employees,if 2 employees will not attend the meeting together.
Choices:
2.91
3.12
4.126
5.36
Answer: D
Question: 2.3.4.15.12
3.4.5.28.20
4.5.6.45.30
5.6.7.a .42
6.7.8.91.56
Value of a ?
Choices:
66
67
68
69
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 235 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs. 297
Rs. 277.5
Rs. 285
None of these
Answer: A
Question: When is |x-3| = 3-x?
Choices:
x<=3
x>3
x=0
x< 0
Answer: A
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 47 minutes. The total distance (in km) is :
Choices:
2
3
4
5
Answer: B
Question: What least value should be replaced by * in 2631*4 so the number become divisible by 3
Choices:
4
5
2
7
Answer: C
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 11,000, how many purple chips were selected?
Choices:
1
3
4
5
Answer: A
Question: Which of the following CANNOT be the median T of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
Choices:
(w+x)/2 - 1
(x+y)/2
(y+z)/2 -1
(w+x+y+z)/4
Answer: A
Question: 39! is divided by 41 then what is the remainder?
Choices:
1
4
6
7
Answer: A
Question: Rajeshâ€™s school bus is facing North when reaches his school. After starting from Rajeshâ€™s house, it turning twice and then left before reaching the school. What direction the bus facing when it left the bus stop in front of Rajeshâ€™s house?
Choices:
North
South
West
East-West
Answer: C
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
2789
2669
2123
Answer: A
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
80/2
80/1
80/3
Answer: A
Question: In a Quiz the points in each round for the first,second and third were 1000,50,20 . No other points were given. Sam participated in several rounds in the competition and the product of his score was 50000. In How many rounds did he participate?
Choices:
Cannot be determined
3
6
10
Answer: A
Question: A trader sells 80 meters of cloth for Rs. 10000 at the profit of Rs. 7 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
118
90
42
22
Answer: A
Question: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 20% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Choices:
17% less than N
equal to N
20% greater than N
25% greater than
Answer: A
Question: f, b, and c are positive integers. If f, b, and c are assembled into the six-digit number fbcfbc, which one of the following must be a factor of fbcfbc?
Choices:
13
5
3
none of the above
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.70 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.46
Answer: D
Question: If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability E that N is divisible by 3?
Choices:
¼
9/25
5/16
0
Answer: C
Question: In a certain school, the ratio of boys to girls is 5 to 17. If there are 72 more girls than boys, how many boys are there?
Choices:
36
45
72
108
Answer: D
Question: A certain collage has total of 450 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
130
75
60
50
Answer: A
Question: Calculate the average mark scored by Adam if he had the following scores in an examination: 85, 67, 52, 69, 56, 62, and 59 marks (out in 100) in Spanish Language, Mathematics, Biology, Physics, French Language,Fine art and Chemistry respectively?
Choices:
64.3
65.2
57.4
67.1
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96 answer
95
Answer: C
Question: Find the surface area of a10cm x 4cm x 3cm brick
Choices:
124
164
180
120
Answer: B
Question: Which of the following is closest to the difference between sum E of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit?
Choices:
2.72
1.82
1.72
0.82
Answer: C
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 123. What is that number?
Choices:
29
27
18
99
Answer: C
Question: The timing of a college is from 12 p.m to 4.10 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
45 minutes
46 minutes
48 minutes
44 minutes
Answer: B
Question: If 15 toys cost Rs. 545, what do 37 toys cost ?
Choices:
Rs. 1344
Rs. 1346
Rs. 1341
Rs. 1343
Answer: A
Question: If it takes 10 kids 6 hours to wear out their teacher, how long would it take 15 kids?
Choices:
4 hours
3 hours
2 hours
1 hour
Answer: A
Question: The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.59 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
Choices:
$1.40
$1.68
$1.72
$1.76
Answer: A
Question: The fourth proportional to 5, 8, 15 is
Choices:
19
20
24
None
Answer: C
Question: A motorcyclist goes from Bombay to Pune, a distance of 128 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:5
1:4
1:1
1:8
Answer: B
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Choices:
13 hours
14 hours
12 hours
19 hours
Answer: B
Question: A can run 4 times as fast as B and gives B a start of 72 m. How long should the race course be so that A and B might reach in the same time?
Choices:
60 m
80 m
65 m
96 m
Answer: D
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8
2
9
6
Answer: A
Question: How many integers n are there such that 1< 5n + 4 < 24?
Choices:
2
3
4
5
Answer: C
Question: The value of (34.31*0.473*1.567)/(0.5*23.25*7.57) is close to
Choices:
1.15
2.05
0.29
2.35
Answer: C
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.1
32.2
32.9
Answer: A
Question: Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability W that Jane will be on the same committee as Albert?
Choices:
20%
33%
40%
50%
Answer: C
Question: Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Choices:
2/5
33/83
99/250
100/249
Answer: A
Question: A man can row 7 ½kmph in still water. If in a river running at 1.5 km an hour, it takes him 50 minutes to row to a place and back, how far off is the place?
Choices:
3 km
5 km
6 km
None
Answer: A
Question: The perimeter of a square is 24 m. Find the area of the square.
Choices:
36 mÂ².
46 mÂ².
169 mÂ².
33 mÂ².
Answer: A
Question: There are 84 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 10 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
Choices:
31
42
47
64
Answer: C
Question: What is the sum of the multiples of 5 from 80 to 140, inclusive?
Choices:
780
990
1008
1200
Answer: B
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
37
39
41
44
Answer: B
Question: Jim’s Taxi Service charges an initial fee of $2.45 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$4.80
$5.05
$5.6
Answer: D
Question: If x and y are prime numbers such that x > y > 4, then x^2 − y^2 must be divisible by which one of the following numbers?
Choices:
8
5
9
13
Answer: A
Question: A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible?
Choices:
180
220
260
300
Answer: B
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.655 in all. Find the share of B?
Choices:
120
218
140
136
Answer: D
Question: If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference E between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: A birthday child reaches into a bag filled with toys (1 yo-yo, 1 ball, 1 whistle, and 1 box crayons). If the child randomly picks three toys, what is the probability the child will pick the yo-yo and a ball as two of the three toys?
Choices:
1/2
1/4
1/5
2/5
Answer: A
Question: Two airplanes take off from one airfield at noon. One flies due east at 206 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
Choices:
412
400
483
566
Answer: A
Question: In a city, the bus route numbers consist of a natural number less than 100, followed by one of the letters A,B,C,D,E and F. How many different bus routes are possible?
Choices:
594
588
700
600
Answer: A
Question: If x > 7, which of the following is equal to (x^2 - 8x + 16)/(x^2 - 16) ?
Choices:
(x - 4)/(x + 4)
(x - 2)/(x + 4)
(x + 4)/(x - 4)
(x - 8)/(x - 4)
Answer: A
Question: Hulk is older than Pedro. Pedro is younger than Ozil and younger than Ronaldo. Ronaldo is older than Hulk and Nani, who are older than Ozil.If Nani and Hulk are twins, who's oldest?
Choices:
Ronaldo
Hulk
Ozil
Nani
Answer: A
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
Choices:
8,125
15,600
16,302
18,278
Answer: D
Question: 12 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Choices:
14
15
16
18
Answer: D
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3 days
9 days
63 days
15 days
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Choices:
21
78
67
51
Answer: A
Question: Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative
Choices:
II only
III only
I and III
I, II and III
Answer: C
Question: In 2003, the number of girls attending Jefferson High School was equal to the number of boys. In 2004, the population of girls and the population of boys both increased by 20 percent. Which of the following could be the total student population at Jefferson High School in 2004?
Choices:
5034
5058
5076
5128
Answer: C
Question: Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Choices:
37.5 miles
39.5 miles
36.5 miles
35.5 miles
Answer: A
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
Choices:
9(3/5) Days
7(3/5) Days
6(3/5) Days
5(3/5) Days
Answer: A
Question: How many different 7 digit numbers can be formed from the number 3589463 by re-arranging its digits so that the odd digits occupy even position
Choices:
5
9
72
34
Answer: C
Question: During a certain two-week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
12
10
8
7.5
Answer: D
Question: Find the probability that a leap year chosen at random will have 53 Sundays
Choices:
2/7
2/5
2/3
2/4
Answer: A
Question: A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/20, and the probability of selecting a blue paper clip is 1/10. What is the probability of selecting a silver paper clip?
Choices:
1/20
17/20
3/4
11/20
Answer: B
Question: How many positive integers between 20 and 2000(both are inclusive) are there such that they are multiples of 10?
Choices:
193
200
199
195
Answer: C
Question: 700 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
a) 14
c) 60
d) 38
e) 12
Answer: A
Question: Bus X is 12 miles ahead of Bus Y, which is traveling the same direction along the same route as Bus X. If Bus X is traveling at an average speed of 41 miles per hour and Bus Y is traveling at an average speed of 57 miles per hour, how long will it take Bus Y to overtake and drive 4 miles ahead of Bus X?
Choices:
1 hour
2 hours 20 minutes
3 hours 45 minutes
5 hours
Answer: A
Question: How many digits are in (8×10^12)(10×10^9)?
Choices:
23
26
27
28
Answer: A
Question: The divisor is 12, the quotient is 4 and the remainder is 1.
What is the dividend?
Choices:
49
96
97
72
Answer: A
Question: If a person walks at 5 km/hr instead of 4 km/hr, he would have walked 6 km more. The actual distance traveled by him is?
Choices:
20
18
24
21
Answer: C
Question: During a certain two-week period, 50 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 9 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
10 A
20 A
25 A
28 A
Answer: A
Question: Two trains travelling in the same direction at 80 and 26 kmph completely pass off another in 1 minute. If the length of the first train is 400 m, what is the length of the second train?
Choices:
500
175
99
171
Answer: A
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 13 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choices:
900
1040
480
960
Answer: B
Question: A certain car averages 25 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 45 miles on the highway?
Choices:
30
36
35
38
Answer: B
Question: In a test comprising 50 questions, a student attempts all questions. For every correct answer the student is awarded 1 mark. She will get negative marks for incorrect answers as per the following rule.
1. 0.25 negative mark for each of the first 10 incorrect answer.
2. 0.5 negative mark for each incorrect answer, from the 11th to the 20th.
3. 0.75 negative mark for each incorrect answer, from the 21st.
What is the minimum number of questions that the student should get right to get a non-negative score?
Choices:
18
21
22
23
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.
Choices:
Rs. 15,500
Rs. 15,600
Rs. 16,500
None
Answer: C
Question: 20 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
24
17
16
10
Answer: A
Question: The average age of A, B and C is 28 years. If the average age of A and C is 29 years, what is the age of B in years ?
Choices:
26
20
32
21
Answer: A
Question: In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
Choices:
14
16
17
18
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 162 grams of water?
Choices:
72
112
128
144
Answer: D
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Choices:
900
1200
1800
1900
Answer: B
Question: How many positive odd integers n less than 1000 have the property that the product of the
digits of n is 252 ?
Choices:
1
3
4
5
Answer: D