antoine-444/aqua_rat_dataset huggingface dataset:
Question: A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $1.60, what total number of pens and pencils did the customer purchase?
Choices:
6
10
11
12
Answer: A
Question: In the formula A = 22/7*b^2, if b is halved, then A is multiplied by
Choices:
1/8
1/4
8
1/2
Answer: B
Question: From a pack of 52 cards, one card is drawn at random. Find the probability that the drawn card is a club or a jack?
Choices:
8/13
4/13
1/13
2/13
Answer: B
Question: If the price of an article went up by 40%, then by what percent should it be brought down to bring it back to its original price?
Choices:
16 4/3%
16 7/3%
16 6/3%
28 4/7%
Answer: D
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 10 such machines produce in 4 minutes ?
Choices:
1800
2700
10800
None of these
Answer: A
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 12 terms of the arithmetic progression?
Choices:
120
150
170
270
Answer: A
Question: In a practice paper at 2iim.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?
Choices:
2500
1600
4545
6565
Answer: A
Question: In the junior basketball league there are 18 teams, 2/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choices:
6.
7.
8.
10
Answer: D
Question: A money lender lends Rs.2500 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
1978
2834
2827
2756.25
Answer: D
Question: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)?
Choices:
–20
–10
1/90
15/4
Answer: A
Question: The value of (4x10^7)(7x10^8) is closest to which of the following?
Choices:
10^12
10^13
10^14
10^17
Answer: D
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Choices:
100 m2
60 m3
400 m3
500 m3
Answer: B
Question: Two men Amar and Bhuvan have the ratio of their monthly incomes as 6 : 5. The ratio of their monthly expenditures is 3 : 2. If Bhuvan saves one-fourth of his income, find the ratio of their monthly savings?
Choices:
3 : 10
3 : 8
1 : 2
2:1
Answer: A
Question: Griffin has a bag of marbles that contains 6 black marbles and 6 red marbles. If he removes 3 marbles at random without replacing any of the marbles, what is the probability that all 3 marbles selected will be red?
Choices:
1/11
3/44
4/55
5/66
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
3 : 4
7 : 8
8 : 9
None of these
Answer: B
Question: In the class of 40 students, 30 speak Tamil and 20 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Choices:
10
20
30
32
Answer: A
Question: 24 oz of juice P and 25 oz of juice W are mixed to make smothies X and Y . The ratio of p to W in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choices:
10
15
20
25
Answer: C
Question: The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in eight colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
Choices:
32
48
60
321
Answer: D
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 35, how many coins of each type are there?
Choices:
20 coins
28 coins
25 coins
None of these
Answer: A
Question: In the youth summer village there are 125 people, 50 of them are not working, 25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choices:
75
85
100
90
Answer: A
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choices:
38
39
41
42
Answer: B
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
Rs.10,720
Rs.10,560
Rs.10,280
None of these.
Answer: B
Question: How many perfect squares are divisors of the product (1!)(2!)(3!)(4!)(5!)(6!)(7!)(8!)(9!)?
Choices:
672
864
936
1008
Answer: A
Question: In a dance competition the points in each round for the first,second,third and fourth position were 100,50,20,10 . No other points were given. Ashita participated in several rounds in the competition and the product of her score was 50000. In How many rounds did she participate?
Choices:
2
1
5
Cannot be determined
Answer: D
Question: A rectangular tiled patio is composed of 48 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 48 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
10
13
28
Answer: A
Question: 7 people, A, B, C, D, E, F and H, go to a movie and sit next to each other in 8 adjacent seats in the front row of the theatre. In how many different arrangements will there be at least one person between A and F?
Choices:
8! - 7!2
6! - 7!2
8! - 6!2
8! - 9!2
Answer: A
Question: A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?
Choices:
72 days
24 days
36 days
34 days
Answer: A
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 22 years younger than Albert. How old is Betty?
Choices:
9
11
15
18
Answer: B
Question: The average (arithmetic mean) of four numbers is 4x + 1. If one of the numbers is x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 4/3
5x + 4
15x + 12
Answer: B
Question: In a college, 70% of total 100 Arts students are Locals. 50% of students from 200 Science students are locals and 85% of total 120 Commerce students are locals. What is the total percentage of locals from Arts, Science and Commerce.
Choices:
86.7
25.7
66
64.7
Answer: D
Question: In an election a candidate who gets 60% of the votes is elected by a majority of 1300 votes. What is the total number of votes polled?
Choices:
B)5200
C)6900
D)7520
E)6500
Answer: D
Question: At a certain amateur bands rock show the ratio of freaks to nerds (N) to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yells rock on!will be a geek?
Choices:
1/2
1/3
1/4
1/6
Answer: A
Question: What is the product of all the possible values of x if x^2 - 9x + 20?
Choices:
–12
12
20
168
Answer: C
Question: Which of the following number is divisible by 24 ?
Choices:
19
20
24
26
Answer: C
Question: An arithemetic sequence of numbers begins p, 2p + 2, 4p + 3... What is the 10th member of this sequence?
Choices:
B)28
+ 13
D)53
+ 13
Answer: A
Question: A one-foot stick is marked in 1/4 and 1/6 portion. How many total markings will there be, including the end points?
Choices:
8
12
14
16
Answer: A
Question: Find the odd one out:
125, 106, 87, 76, 65, 58, 53
Choices:
87
26
18
222
Answer: A
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 30 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 2/7 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
5 minutes, 23.6 seconds
5 minutes, 44.44 seconds
6 minutes, 10.4 seconds
Answer: C
Question: In a group of 400 readers who read science fiction or literacy works or both, 250 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?
Choices:
80
90
100
110
Answer: A
Question: Lindsay can paint 1/x of a certain room in 25 minutes. What fraction of the same room can Joseph paint in 25 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x – 3)
(3x – 7) / 7x
1/ (x – 3)
(x – 3) / x
Answer: B
Question: 5 girls and 3 boys are arranged randomly in a row. Find the probability that:
1) there is one boy on each end.
2) There is one girl on each end.
Choices:
3/28 & 5/14
5/14 & 3/28
3/28 & 1/14
1/28 & 5/14
Answer: A
Question: A Paul's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: How many numbers from 29 to 79 are exactly divisible by 11?
Choices:
2
6
4
5
Answer: D
Question: . A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
288
277
400
122
Answer: C
Question: On dividing 73 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Choices:
A)8
C)16
D)17
E)18
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
120%
None
Answer: A
Question: A batsman makes a score of 92 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
Choices:
39
42
44
None of the above
Answer: C
Question: Using all the letters of the word "PROBLEMS", how many words can be formed, which begin with P and end with S?
Choices:
560
720
120
650
Answer: B
Question: A bag contains 2 yellow, 5 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
7/12
3/7
2/7
5/7
Answer: A
Question: 896.7 – 573.07 – 95.007 = ?
Choices:
228.623
233.523
414.637
None of these
Answer: A
Question: Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 10 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
Choices:
0.5
1
1.2
2
Answer: A
Question: 20 workers can finish a work in 30 days. After how many days should 5 workers leave the job so the work is completed in 35 days?
Choices:
6
15
4
3
Answer: B
Question: A triangle has a perimeter 21. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Choices:
5
6
7
8
Answer: D
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
24
67
56
45
Answer: A
Question: A man has Rs. 80 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
2
13
15
10
Answer: C
Question: Solve for the given equation 121 x 54 =?
Choices:
75625
76569
45854
45858
Answer: A
Question: Find the simple interest on Rs.235 for 3 months at 8 paisa per month?
Choices:
s.56.4
s.29.3
s.33
s.74
Answer: A
Question: If 15% of 30% of 50% of a number is 117, then what is the number?
Choices:
5200
4400
4500
None of these
Answer: A
Question: Bradley owns x video game cartridges. If Bradley’s total is one-third the total owned by James and four times the total owned by Charles, how many video game cartridges do the three of them own altogether, in terms of x?
Choices:
(17/14)x
(13/4)x
(19/12)x
(17/4)x
Answer: D
Question: If 9 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
10•10
10•9
45
36
Answer: D
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 50 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
50y - x
50x - y
50y/x
50x/y
Answer: D
Question: How many 4-letter word with or without meaning can be formed out
of the letters of the word 'LOGARITHMS' if repetition of letters is
not allowed
Choices:
1000
5040
5000
500
Answer: B
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 9% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
9:3
5:8
5:4
9:2
Answer: A
Question: 200 is what percent of 50?
.
Choices:
2%
5%
400%
500%
Answer: C
Question: If 50 honey bees make 50 grams of honey in 50 days, then 1 honey bee will make 1 gram of honey in how many days?
Choices:
3.5
20
49
50
Answer: D
Question: A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is
Choices:
12
22
52
None
Answer: A
Question: The average of first five multiples of 5 is:
Choices:
15
17
8
10
Answer: A
Question: The sum of the first 92 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?
Choices:
7,500
10,500
11,700
19,600
Answer: C
Question: The third proportional to 1 and 3 is?
Choices:
9
11
12
13
Answer: A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $9,500, what is the bonds face value?
Choices:
$6,750
$7,425
$7,600
$9,375
Answer: C
Question: One computer can upload 100 megabytes worth of data in 4 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 20 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?
Choices:
2.5
9
11
13
Answer: A
Question: Suresh age after 15 years will be 5 times his age 5 years back, What is the present age of Suresh
Choices:
10
14
8
7
Answer: A
Question: The difference between the length and breadth of a rectangle is 60 m. If its perimeter is 300 m, then its area is:
Choices:
2420 m2
4258 m2
4725 m2
None
Answer: C
Question: Which of the following are roots of an equation (x^-2)+(4x^-1)-5=0
Choices:
-1/5 and 1
1/5 and 1
-1/5 and -1
-5/2 and -1
Answer: A
Question: A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 11% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
Choices:
40 lbs
25 lbs
50 lbs
60 lbs
Answer: B
Question: When x is divided by y, the quotient is z with remainder v. Which of the following is equal to v?
Choices:
y/x−z
x – y – z
x – yz
zx – y
Answer: C
Question: 84/12/0.8 = ?
Choices:
7.14
6.23
4.35
8.75
Answer: D
Question: A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many Y acres were used for corn?
Choices:
258
376
470
517
Answer: B
Question: In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = f is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-f, -k), then what are the coordinates of the point P?
Choices:
(-3f, -3k)
(2f, 2k)
(3f, 3k)
(5f, 5k)
Answer: C
Question: There are 5 red balls, 7 blue balls, 6 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Choices:
23
43
40
24
Answer: D
Question: A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 8 less, he would have made a profit of 10%. The C.P. of the article was
Choices:
1600
1200
1388
1211
Answer: A
Question: A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
Choices:
7
17
31
38
Answer: A
Question: If the class marks in frequency distribution weights of students be 128, 137, 146, 155, 164, 173 and 182 kgs then the first class boundary is
Choices:
123.7
123.5
223.5
1222.2
Answer: B
Question: A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 70 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.
Choices:
130
140
160
224
Answer: D
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
Rs. 3120
Rs. 3972
Rs. 6240
Rs. 5240
Answer: B
Question: Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1.5 screws and 4.5 nails?
Choices:
b. 5/2
c. 2
d. 3/2
e. 20/11
Answer: D
Question: A train 800 m long can cross a pole in 10 sec and then find the speed of the train?
Choices:
282
284
286
288
Answer: D
Question: Given that there are 6 basketball players per team, how many ways can you select 3 basketball players from 3 teams if no more than one player can be selected from each team?
Choices:
216
60
75
90
Answer: A
Question: Look at this series: 75000,25000,5000... What number should come next?
Choices:
1000
15
18
8
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?
Choices:
Rs. 4082.40
Rs. 2810.6
Rs. 3214
None of these
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 10 mangoes. Find the gain percent?
Choices:
7%
21%
85%
24%
Answer: A
Question: a man buys postage stamps of denomination of 30ps. and 50 ps. for rs.10.00. he buys 22 stamps in all. find the no of 30ps. stamps bought by him.
Choices:
5
17
8
9
Answer: A
Question: If the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Choices:
1/3
2/5
4/5
7/6
Answer: A
Question: A, B AND C ARE EMPLOYED TO DO A PIECE OF WORK FOR RS. 529. A AND B TOGETHER ARE SUPPOSED TO DO 19/23 OF THE WORK AND B AND C TOGETHER 8/23 OF THE WORK. WHAT AMOUNT SHOULD A BE PAID?
Choices:
RS. 345
RS. 355
RS. 375
NONE OF THESE
Answer: A
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum W of all the digits of the integers from 0 to 99 inclusive?
Choices:
810
900
1000
1100
Answer: B
Question: A certain Sky Blue paint contains 10 percent blue pigment and 90 percent red pigment by weight. A certain green paint contains 70 percent blue pigment and 30 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Choices:
2.5
3.5
4.5
5.5
Answer: C
Question: How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 6%?
Choices:
1.5—3 gal
3—4.5 gal
4.5—6 gal
6+ gal
Answer: D
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Pune Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:2
10:27
5:4
10:40
Answer: A
Question: Renu can do a piece of work in 5 days, but with the help of her friend Suma , she can do it in 4 days. In what time Suma can do it alone?
Choices:
12
14
15
20
Answer: D
Question: Set X consists of 15 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set?
Choices:
37
C.40
60
50
Answer: C
Question: In a T.V. factory, an average of 60 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily average for the month to 58 sets per day . The average production per day for day last 5 days is ?
Choices:
48
52
58
None
Answer: A
Question: The music class consists of 4 girls and 5 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choices:
80
161
165
172
Answer: A
Question: How many digits are in the number 50^8 × 8^3 × 11^3?
Choices:
20
19
18
17
Answer: A
Question: There are 10 oranges in a basket. Find the no. of ways in which 3 oranges are chosen from the basket?
Choices:
90
120
150
180
Answer: B
Question: The mean of 30 values was 140. It was detected on rechecking that one value 145 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choices:
140.33
152
148
None of the above
Answer: A
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1,250
2,500
1,000
Answer: D
Question: 11, 22, 14, 28, 20, 40, ?
Choices:
25
31
31
32
Answer: D
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took?
Choices:
Rs.6000/-
Rs.4000/-
Rs.7000/-
Rs.8000/-
Answer: A
Question: The mantissa of log 3274 is 0.5150. The value of log(0.3274) is
Choices:
1.5150
2.515
None of these
Cannot be determined
Answer: A
Question: Find the area of a parallelogram with base 18 cm and height 16 cm?
Choices:
122 cm2
420 cm2
251 cm2
288 cm2
Answer: D
Question: A,B, and C are on a trip by a car. A drives during the 1st hour at an average speed of 50km/hr. B drives during the next 2 hours at an average speed of 48km/hr. C drives for the next 3 hours at an average speed of 52km/hr. They reached their destination exactly after 6 hours. Their mean speed is?
Choices:
50.3km/hr
56.9km/hr
62.5km/hr
38.9km/hr
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
190 sq.units
940 sq.units
149 sq.units
Answer: A
Question: Tanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 3 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: A
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
82%
72%
12%
11%
Answer: C
Question: You roll P (P > 1) number of Q (Q > 1) sided dice at once. What is the probability that at least two of the P dice will land on difference numbers.
Choices:
1 - Q/(P^Q)
1 - 1/(P^(Q-1))
1 - 1/(Q^(P-1))
1 - 1/(Q-1)^P
Answer: C
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $76,875, how much profit did the business make?
Choices:
$106,000
$112,000
$118,000
$123,000
Answer: D
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $112 and $120 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
784
1080
1200
1440
Answer: A
Question: Solution Y is 30 percent liquid A and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid A?
Choices:
33 1/3%
37 1/2%
40%
50%
Answer: B
Question: Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel six times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Choices:
6
8
7
12
Answer: C
Question: 150 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
Choices:
10~20
20~30
45~55
55~65
Answer: D
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2 : 5
2 : 1
2 : 0
2 : 2
Answer: A
Question: 3,5,11,29,83,245,?
Choices:
731
715
705
645
Answer: A
Question: As part of a game, seven people each must secretly choose an integer between 1 and 7, inclusive. What is the approximate likelihood that all seven people will choose different numbers?
Choices:
1%
16%
20%
25%
Answer: A
Question: When positive integer N is divided by positive integer P, the quotient is 20, with a remainder of 7. When N is divided by (P + 2), the quotient is 15 and the remainder is 2. What is the value of N?
Choices:
107
511
691
871
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations T of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!/5!
10!
10!*5!
Answer: A
Question: The average of first 18 natural numbers is?
Choices:
9.5
9.9
9.4
9.1
Answer: A
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $30,000 annual budget is dedicated to clothes and shoes?
Choices:
$3,000
$4,500
$5,000
$5,400
Answer: B
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table?
Choices:
6625
2871
6725
2981
Answer: A
Question: A rectangular table seats 2 people on each of two sides, with every person directly facing another person across the table. If four people choose their seats at random, what is probability that any two of them directly face other?
Choices:
1/3
1/7
15/56
4/7
Answer: A
Question: The average of first 25 prime numbers is?
Choices:
8.8
5.6
11.9
11.11
Answer: D
Question: A train A leaves Mysore at 6 a.m. and reaches Bangalore at 10 a.m. Another train leaves B Bangalore at 8 a.m. and reaches Mysore at 11.30 a.m. At what time do the two trains cross each other ?
Choices:
8.45 a.m.
8.56 a.m.
9 a.m.
None of these
Answer: B
Question: The smallest number when increased by "2 " is exactly divisible by 12, 30, 48, 74 and 100 is:
Choices:
44398
44400
44402
15005
Answer: A
Question: Four different books (A, B, C and D) are to be arranged on a shelf. Books A and B are to be arranged first and second starting from the right of the shelf. The number of different orders in which books C and D may be arranged is
Choices:
12!
8!
11!
2!
Answer: D
Question: The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 174,000. What was the percent increase in the cost of the home?
Choices:
50%
55%
40%
45%
Answer: D
Question: Find the greatest number of four digits which is perfectly divisible by 3 and when divided by 5, 7 and 9 leaves a remainder 3 in each case.
Choices:
1659
2687
1667
1891
Answer: A
Question: Three friends are buying a gift for a friend. Declan contributes 9 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift?
Choices:
54
60
66
72
Answer: D
Question: In the exam the average was found to be p mark. After deducting typographical error the average marks of 85 student reduced from 75 to 50 . Due to this the average came down by 25 marks. What was the number of students who took the exam?
Choices:
85
110
130
160
Answer: A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3?
Choices:
1/16
7/8
1/2
1/4
Answer: B
Question: Three partners A, B, C in a business invested money such that 4(Aâ€™s capital) = 2(Bâ€™s capital) = 12(Câ€™s capital) then, The ratio of their capitals is
Choices:
63 : 54 : 34
36 : 54 : 28
3 : 6 : 1
None of these
Answer: C
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 230 per month. What is his monthly salary?
Choices:
5750
2878
2990
2771
Answer: A
Question: Find the average of the first 9 natural numbers?
Choices:
5
10
11
12
Answer: A
Question: If a and b are positive integers, which of the following cannot be an integer?
Choices:
(2b)/(3a+1)
(2a+1)/(4b)
(2a+1)/(4b+1)
(2a·b)/(4b+2)
Answer: B
Question: Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has ten iron coins and ten copper coins, how many different sums from 1¢ to 70¢ can he make with a combination of his coins?
Choices:
66
68
69
70
Answer: A
Question: What is the greatest prime factor of 12!11! + 11!10!?
Choices:
11
13
17
19
Answer: D
Question: An empty wooden vessel weighs 12% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choices:
5/11
1/24
4/9
2/5
Answer: A
Question: A sum fetched a total simple interest of Rs. 750 at the rate of 6 p.c.p.a. in 5 years. What is the sum?
Choices:
2500
2900
2800
2700
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $420 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Choices:
180
240
280
320
Answer: C
Question: If x = 5/8 and y = -1/2, what is the value of the expression -2x – y^2?
Choices:
-3/2
1
3/2
7/4
Answer: A
Question: A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of A is:
Choices:
0
2
3
4
Answer: A
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 20 percent. The enrollment on January 1, 1993, was 50 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
39
40
41
42
Answer: D
Question: A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 17}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
16
25
20
36
Answer: B
Question: In the first hour of a two-hour trip, a car traveled 3d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?
Choices:
1/3*d
1/2*d
5/4*d
3/2*d
Answer: C
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% 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%
18%
10%
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
27 7/5
27 7/3
27 7/9
27 7/1
Answer: C
Question: What is the least positive integer X for which (X^2) + 164 is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11?
Choices:
800
796
87
166
Answer: D
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 72. What is the largest among them?
Choices:
24
27
36
45
Answer: B
Question: Which of the following statements must be true?
1) If x/y is a fraction and y has 17 as one of its prime factors then the resulting decimal will be terminating
2) If x/y is a fraction where 2 and 5 are the only two prime factors of y then the resulting decimal will be terminating.
3) If x/y is a fraction such that y=(10^n -1) for n≥1 then the repeating decimals in the result would just be the digits of the numerator.
4) If the interest is accounted annually then for the first compounded interest would be equal to the simple interest.
Choices:
2,3,4
1,2,3
2,4
1,3
Answer: A
Question: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
20
40
60
120
Answer: B
Question: The unit digit in the product (293 * 567 * 917 * 343) is:
Choices:
1
6
8
10
Answer: A
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Choices:
2/9
4/13
3/14
3/17
Answer: B
Question: What is the sum of the prime factors of1549 and the prime factors of 5049?
Choices:
73
65
74
75
Answer: A
Question: Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
Choices:
56
96
128
None
Answer: A
Question: which number need to add to 859622 to get a number exactly divisible by 456?
Choices:
546546
576765
645235
859622
Answer: D
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
76
42
58
45
Answer: B
Question: How many 1/6s are there in 37 1/2?
Choices:
225
520
600
700
Answer: A
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 135 days, in how many days can R alone complete the remaining work?
Choices:
92.4 days
100 days
150 days
80 days
Answer: A
Question: Carina has 115 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
Choices:
7
6
4
3
Answer: A
Question: If n + 16 is a positive odd integer, which of the following must be true about the sum of the next four integers?
Choices:
It is a multiple of 4
It is a prime number
It is a multiple of 5
It is a multiple of 2
Answer: D
Question: A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days.
Choices:
5 5⁄11
6 4⁄11
6 5⁄11
7 5⁄11
Answer: A
Question: If a certain sample of data has a mean of 20.0 and a standard deviation of 4.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
12.0
17.0
23.5
26.5
Answer: A
Question: A group of 7 teenagers recently visited the Japanese Restaurant. The total bill for the meal, including 20% gratuity, came to $840. On average, how much did the meal of each individual cost before gratuity?
Choices:
$96
$90
$10
$55
Answer: C
Question: If 48 machine can finish a job in 80 days, then how many more machines would be needed to finish the job in one -fifth less time?
Choices:
b. 8
c. 10
d. 12
e. 16
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
20 kmph
16 kmph
18 kmph
19 kmph
Answer: A
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
20
88
77
61
Answer: A
Question: How many numbers between 100 and 600 are divisible by 2, 3, and 7 together?
Choices:
77
267
12
99
Answer: C
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 2/3 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?
Choices:
144
175
216
264
Answer: D
Question: the average distance between the sun and a certain planet is approximatly 2.7 10^10 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Choices:
6.9 x(10)^4
6.9 x(10)^3
6.9 x(10)^5
6.9 x(10)^2
Answer: C
Question: A company D has 10 percent of the employees are secretaries and 20 percent are salespeople. If there are 70 other employees of Company D, how many employees does Company D have?
Choices:
100
180
152
250
Answer: A
Question: A train 160m long is running at 30kmph. In how much time will it pass a platform 120m long?
Choices:
24.36 seconds
15.96 seconds
14.93 seconds
22.23 seconds
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is
Choices:
4830
5120
6420
None
Answer: B
Question: What is the difference between the place value of 7 in the numeral 894577?
Choices:
77
53
63
87
Answer: C
Question: Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.4 hr
2 hr
2.8 hr
3 hr
Answer: A
Question: W=√[2√63 + 2/(8+3√7)] =
Choices:
4 + 3√7
8
4
√7
Answer: C
Question: If the units digit of n^31 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Choices:
Only II
Only III
I and II
II and III
Answer: A
Question: .
On dividing a number by 357, we get 37 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
3
5
3
11
Answer: C
Question: The value of 1/(1-x) + 1/ (1+x) + 2/(1+x^2) + 4/(1+x^4)
Choices:
8/(1-x^8)
4/(1-x^6)
4/(1+x^4)
4x/(1-x^4)
Answer: A
Question: What is the tens digit of 36^5?
Choices:
7
5
3
9
Answer: C
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 945 what is the least possible value of k?
Choices:
7
9
11
13
Answer: B
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer?
Choices:
2338
377
4266
288
Answer: C
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 25%. Their gross income from sales for one month increases by what percent?
Choices:
7.5%
10%
12.5%
15%
Answer: C
Question: If $ 5,000 is invested in an account that earns 12% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Choices:
$ 8
$ 12
$ 16
$ 432
Answer: B
Question: If x < 12, then it must be true that...
Choices:
-x - 2 < 14
-x + 2 < -10
x + 2 < 10
x - 3 < 14
Answer: D
Question: If you roll a fair-sided die twice, what is the probability of getting a (4.4) double?
Choices:
1/4
1/12
1/3!
1/24
Answer: C
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45 kmph
17 kmph
19 kmph
13 kmph
Answer: A
Question: A motorist travel to a place 150 km away at an average speed of 120 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
Choices:
37 km/hr
45 km/hr
48 km/hr
None of these
Answer: C
Question: A can do a work in 7 days B in 12 days and C in 5 days. If they work on it together then in how many days required to complete the work?
Choices:
420/179
410/87
90/14
77/56
Answer: A
Question: 2, 6, 12, 20, 30, 42, 56, ?
Choices:
37
72
35
86
Answer: B
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Choices:
277
160
882
232
Answer: C
Question: The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?
Choices:
8
32
42
52
Answer: A
Question: A man covers a certain distance C in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Choices:
50 km
20 km
60 km
80 km
Answer: C
Question: Which number is the odd one out?
159
642
693
537
289
582
Choices:
345
895
642
624
Answer: C
Question: sue has 3 apples. Billy has 5 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Choices:
5
6
4
8
Answer: C
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2
7
5
8
Answer: A
Question: 11^9 - 11^2 is approximation of which of the following?
Choices:
9^8
9^9
11^9
9^10
Answer: C
Question: (?) + 3699 + 1985 - 2047 = 31111
Choices:
27474
27485
27490
27495
Answer: A
Question: A man takes
5
5 hours
45
45 min in walking to a certain place and riding back. He would have gained
2
2 hours by riding both ways. The time he would take to walk both ways is
Choices:
8 hrs 45 min
7 hrs 45 min
9 hrs 20 min
8 hrs
Answer: B
Question: Henry completes a piece of work in 640 days, Rose completes the same work in 960 days. If both of them work together, then the number of days required to complete the work is?
Choices:
384
386
387
388
Answer: A
Question: What are the next two letters in the following series and why?
W A T N T L I T F S _ _
*Hint : Look into the title of the Riddle
Choices:
A and W
B and W
A and C
S and W
Answer: A
Question: Which is the least number that must be subtracted from 1256 so that the remainder when divided by 7, 12, 16 is 4?
Choices:
232
236
240
244
Answer: D
Question: An outlet pipe empties a tank which is full in 8 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 4 hours longer. Find the capacity of the tank.
Choices:
200 litres
12800 litres
11520 litres
13200 litres
Answer: C
Question: The sum of three consecutive numbers is 87. The greatest among these three number is:
Choices:
28
29
30
31
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4
11 1/9
11 1/2
11 1/1
Answer: A
Question: Simplify (3^y + 3^y) (2^y + 2^y + 2^y)
Choices:
12^y+1
16^y + 9^y
12^y
6^y+1
Answer: D
Question: A painting at an art gallery is framed such that the area of the square frame is 2/3 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 10, what is the area of the painting inside the frame?
Choices:
20
30
40
50
Answer: B
Question: In a room filled with 6 people, all 6 people have exactly 1 sibling in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
4/5
5/6
5/12
7/12
Answer: A
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.3 km long?
Choices:
2 mins 34 sec
168 sec
344 sec
2 mins 44 sec
Answer: B
Question: Find the odd man out
1, 3, 10, 21, 64, 129, 356, 777
Choices:
21
64
356
384
Answer: C
Question: If 2 persons can do 2 times of a particular work in 2 days, then, 7 persons can do 7 times of that work in
?
Choices:
7 days
9 days
2 days
15 days
Answer: C
Question: There are 10 periods in each working day of a school. In how many ways can one organize 9 subjects such that each subject is allowed at least one period?
Choices:
16329600
16324600
15679892
None of these
Answer: A
Question: 19 balls are numbered 1 to 19. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
Choices:
4/19
6/29
8/39
10/49
Answer: A
Question: A survey reveals that the average income of a company’s customers is $50,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $75,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Choices:
$43,750
$37,500
$42,500
$50,000
Answer: A
Question: The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?
Choices:
825
286
582
465
Answer: B
Question: In a country where everyone wants a boy, each family continues having babies till they have a boy. After some time, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same)
Choices:
3:5
1:1
3:7
2:4
Answer: B
Question: The average of 9 observations was 5, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
45
15
17
18
Answer: A
Question: Find the numbers which are in the ratio 3:2:1 such that the sum of the first and the second added to the difference of the third and the second is 16?
Choices:
4,4,22
9,3,32
9,6,12
12,8,4
Answer: D
Question: The least number of five digits which is exactly divisible by 12,15 and 18 is :
Choices:
10015
10020
10080
None of these
Answer: C
Question: If a, b are integers and |a-b|=10, which of the following is the smallest possible value of ab?
Choices:
0
-25
7
40
Answer: B
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 (7; 9),
what is the maximum possible area of C?
Choices:
9
24
32
64
Answer: D
Question: The cost of hiring a bus is shared equally by all passengers. The bus has seats for 40 passengers and the total bill comes to Rs.70.37. How many seats went unoccupied?
Choices:
11
9
7
5
Answer: B
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 80 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Choices:
240 km
220km
180km
200km
Answer: A