antoine-444/aqua_rat_dataset huggingface dataset:
Question: 15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container H?
Choices:
B:25
C:37.5
D:36
E:42
Answer: B
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
14 litres
30 litres
22 litres
8 litres
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 2 1/8 kmph
2 2 7/2 kmph
2 2 1/2 kmph
2 3 1/2 kmph
Answer: C
Question: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Choices:
3
4
5
6
Answer: B
Question: Which of the following expressions CANNOT have a negative value
Choices:
|a + b| – |a|
|2a + b| – |a + b|
a^2 + b^2 |+ 2|ab|
|a^3 + b^3| – a – b
Answer: C
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Choices:
23 years
16 years
19 years
15 years
Answer: A
Question: A milk man has 20 liters of milk. If he mixes 25 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Choices:
45%
33.33%
18%
None of these
Answer: A
Question: Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability T that the new color will be one of theJaunecolors?
Choices:
37/42
1/21
4/9
5/9
Answer: A
Question: Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
Choices:
16
18
11
15
Answer: D
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 20 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Choices:
36%
44%
48%
52%
Answer: A
Question: A container can hold 4 quarts of fruit juice and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts fruit juice to 5 parts water by volume?
Choices:
5/3
7/3
8/3
10/3
Answer: C
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 63,000 different outfits, then for how many garments does Dave have exactly five choices?
Choices:
1
2
3
4
Answer: C
Question: Three unbiased coins are tossed. What is the probability of getting all tails?
Choices:
1/2
3/8
1/4
1/8
Answer: D
Question: The function f is defined for all the positive integers g by the following rule: f(g) is the number of positive integers each of which is less than g and has no positive factor in common with g other than 1 . if p is a prime number then f(p)?
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: A can do a work in 3days. B can do in 6days. If both A&B are working together in how many days they can finish the work?
Choices:
3
2
4
5
Answer: B
Question: The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?
Choices:
552 km
492 km
422 km
487 km
Answer: A
Question: 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
Choices:
2 days
8 days
6 days
4 days
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 6 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Choices:
180 km/hr
152 km/hr
186 km/hr
179 km/hr
Answer: C
Question: Three friends A,B and C invested Rs. 40,000, Rs.60,000 and 80,000 respectively in a business. If the annual profit is Rs. 18000 then share of B is
Choices:
Rs. 5400
Rs. 5500
Rs. 6000
Rs. 7000
Answer: C
Question: What is the remainder when 220*165*110*55 is divided by 15?
Choices:
15
10
11
18
Answer: B
Question: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ?
Choices:
106 kmph
186 kmph
126 kmph
176 kmph
Answer: A
Question: A cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
Choices:
5hr
7hr
1hr
4hr
Answer: D
Question: In a class of 25 students in an examination in maths 3 students scored 95 marks each, 5 get zero each and the average of the rest was 45. What is the average of the whole class?
Choices:
B)45.6
C)42
D)48
E)49
Answer: B
Question: A restaurant meal cost $100 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$105 and $109
$109 and $116
$115 and $120
$111 and $115
Answer: B
Question: Which of the following CANNOT be the median of the 3 positive integers x, y, and z?
Choices:
z
x+z
(x+z)/2
(x+z)/3
Answer: B
Question: Which of the following points is closest to line y=x
Choices:
(2, 4)
(-1, 1)
(-2, -1)
(-2, 0)
Answer: C
Question: A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/3
4/5
4/9
5/11
Answer: D
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $80.00 on four CDs and five tapes, how much does one tape cost?
Choices:
$6.25
$12.00
$8.00
$100.00
Answer: C
Question: If p and w are positive integers such that p > w > 1, what is the remainder when 92p × 5p+w + 11w × 6pw is divided by 10?
Choices:
B.1
C.3
D.4
E.5
Answer: A
Question: If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
Choices:
78
390
310
66
Answer: A
Question: A certain tax rate is $.42 per $100.00. What is the rate, expressed as a percent?
Choices:
.42%
0.82%
0.042%
0.0082%
Answer: A
Question: if the ratio of two no. is 5:4.and addition of that no. is 36.then tell the bigger number.
Choices:
20
18
12
24
Answer: A
Question: Of three numbers, the third is four times the second and the second is two times the first. If their average is 165, the second number of the three numbers is:
Choices:
100
90
45
120
Answer: B
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice athe age of the son. Find the present age of the father.
Choices:
33
35
36
37
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is:
Choices:
s. 659
s. 698
s. 700
s. 720
Answer: A
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
(1/8)
(2/8)
(1/16)
(1/4)
Answer: A
Question: Sachin is younger than Rahul by 4 years.If their ages are in the respective ratio of 7:9, how old is Sachin ?
Choices:
24.5
31
26.5
30.5
Answer: A
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 16 km/hr respectively. They will meet for the first time in?
Choices:
40min
35min
25min
36min
Answer: D
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Choices:
85,500
95,500
110,500
100,000
Answer: C
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 5 mangoes. Find the gain percent?
Choices:
3.4%
2.1%
8.5%
2.4%
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
2
3
4
5
Answer: C
Question: In how many ways 6 boys and 4 girls can be seated in a row so that they are alternative?
Choices:
12620
17280
21200
24560
Answer: B
Question: Sheela deposits Rs. 5000 in bank savings account. If this is 20% of her monthly income. What is her monthly income in?
Choices:
20000
25000
22235
None of these
Answer: B
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
Choices:
24 cm
26 cm
28 cm
29 cm
Answer: A
Question: When a natural number N is successively divided by 11,12,13,14. the remainders are 15,16,17,18. What will be the sum of the remainders if the order of the division is reversed?
Choices:
14
12
11
9
Answer: A
Question: In a sports club with 40 members, 20 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?
Choices:
5
6
7
3
Answer: D
Question: Peter purchased a machine for Rs.80,000 and spent Rs.5000 on repair and Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine?
Choices:
Rs.1,06,250
Rs.1,07,500
Rs.1,17,500
None
Answer: B
Question: If the side length of Square B is sqrt(3) times that of Square A, the area of Square B is how many times the area of Square A?
Choices:
6
4
3
2
Answer: C
Question: At a school, three-fourths of the male students and two-thirds of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?
Choices:
3/5
4/5
7/10
13/20
Answer: C
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
15 m,16m
15 m,10m
15 m,90m
15 m,30m
Answer: B
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
Choices:
Rs 32500
Rs 22500
Rs 32500
Rs 12500
Answer: C
Question: Albert invested amount of 20000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Choices:
Rs. 22050
Rs. 8730
Rs. 8820
None of these
Answer: A
Question: The value of x + x(x^x) when x = 4 is
Choices:
1024
1028
1026
1002
Answer: B
Question: The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a quarter of its new value. What is the stock's value at the end of Monday?
Choices:
3X/8.
2X/3.
X/3.
X/4.
Answer: A
Question: A sum of Rs. 800 amounts to Rs. 920 in 8 years at simple intere
interest rate is increased by 8%, it would amount to bow mucb ?
Choices:
Rs 995
Rs 997
Rs 992
Rs 999
Answer: C
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
7
8
1
4
Answer: C
Question: Find k if 32 / k = 4.
Choices:
7
8
4
3
Answer: B
Question: Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1600 more than Mike did, what was the profit made by their business in that year?
Choices:
$3400
$3300
$3200
$3000
Answer: D
Question: 75% of 480 = (?) x 15 ?
Choices:
18
360
None of these
Cannot be determined
Answer: C
Question: A certain elevator has a safe weight limit of 1950 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds?
Choices:
8
9
10
11
Answer: C
Question: 69 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
23
24
25
26
Answer: A
Question: If W + A < W - A < A - W, which of the following is correct?
Choices:
W < A < 0.
W < 0 < A.
0 < B < A.
B > A > 0.
Answer: A
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 43. Find the third number?
Choices:
B)85
C)48
D)43
E)84
Answer: C
Question: Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
Choices:
11
44
33
55
Answer: C
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.24000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
3:2
2:3
5:2
Answer: D
Question: What day of the week was 5th January 2001
Choices:
Thursday
Saturday
Tuesday
Friday
Answer: D
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
Choices:
1:9
1:3
1:4
1:3
Answer: C
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
2800
2700
3000
3500
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Choices:
40 years
60 years
70 years
80 years
Answer: A
Question: 5+8
Choices:
13
28
6
2
Answer: A
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 650?
Choices:
11
12
13
14
Answer: C
Question: How many digits are in (8×10^18)(10×10^10)?
Choices:
25
26
27
30
Answer: D
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent A of the interns report no feelings of tiredness during their shifts?
Choices:
14
19
20
81
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12600 after a year?
Choices:
3637
3630
3631
3780
Answer: D
Question: 100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e.no. 2 )and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?
Choices:
53
64
84
73
Answer: D
Question: There are 2 bars of copper-nickel alloy. One bar has 2 parts of copper to 5 parts of nickel. The other has 3 parts of copper to 5 parts of nickel. If both bars are melted together to get a 20 kg bar with the final copper to nickel ratio of 5:11. What was the weight of the first bar?
Choices:
4 kg
6 kg
14 kg
16 kg
Answer: C
Question: In certain code 'COLD' is written as '*$&#' and 'FOUND' is written as '@$^?#'. How is 'LOUD' written in that code?
Choices:
?@^*
#*&^
&$^#
#&^$
Answer: C
Question: A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck?
Choices:
1:1
4:3
8:9
1:3
Answer: A
Question: In how many ways can 5 identical black balls and 7 identical white balls be arranged in a row so that no 2 black balls are together
Choices:
56
65
316
560
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
360
77
121
123
Answer: A
Question: The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
178 m
220 m
187 m
176 m
Answer: B
Question: If v and d are both integers, v>d, and -3v>19, then the largest value of d would be?
Choices:
-6
-7
-8
-10
Answer: C
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then ADD?
Choices:
30
29
27
28
Answer: C
Question: What is the smallest positive integer x, such that 1944x is a perfect cube?
Choices:
3
8
12
18
Answer: A
Question: (2^2+4^2+6^2+.....+14^2)=?
Choices:
560
99
550
540
Answer: A
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choices:
100
110
140
150
Answer: B
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
9
7
4
Answer: A
Question: Three integers are at random chosen between 0 and 9 inclusive. What is the probability K that each number is different ?
Choices:
A.18/25
C.81/100
D.9/10
E.1
Answer: A
Question: A train 50m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
25kmph
35kmph
45kmph
55kmph
Answer: A
Question: If in a race of 90m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
Choices:
16m
11m
10m
18m
Answer: D
Question: Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/11 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?
Choices:
$120
$183.3
$220
$260
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:
540
600
455
200
Answer: A
Question: The number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choices:
3:5
4:7
5:8
7:9
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Choices:
240
266
155
141
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
Choices:
7.5
8.5
9.5
2
Answer: A
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 10 years, son's age will be:
Choices:
14 years
18 years
24 years
26 years
Answer: C
Question: Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 4 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of Y?
Choices:
4Y
5Y
6Y
10Y
Answer: C
Question: Stacy has a 63 page history paper due in 7 days. How many pages per day would she have to write to finish on time?
Choices:
9
10
8.5
6
Answer: A
Question: A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 12 hours longer than the first half, how many hours did it take the runner to run the second half?
Choices:
22
24
26
28
Answer: B
Question: Andrew purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
1055
1060
1075
1080
Answer: A
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13860 ?
Choices:
4032
3250
3825
3985
Answer: A
Question: A man can row his boat with the stream at 14 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
4 kmph
5 kmph
7 kmph
8 kmph
Answer: B
Question: If 5 Men or 8 Women take 5 days to complete some work, how many days will 12 Men and 8 Women working together take to complete the work?
Can anyone explain please?
Choices:
2. 2 Days
3. 9/4 days
4.25/17 days
5.3 days
Answer: C
Question: Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 480m tall and the Petronas Towers is 516m tall?
Choices:
17
23
36
12
Answer: C
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?
Choices:
243
246
625
224
Answer: D
Question: What is x if x + 3y = 10 and y = 3?
Choices:
1
3
4
5
Answer: A
Question: Evaluate combination
98C96=98!/(96)!(2)!
Choices:
4753
1417
4353
None of these
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
8
7
8
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
367
237
245
267
Answer: C
Question: If a 3-number code is formed of the integers from 1 to 16 inclusively, and each of the numbers in the code is different, how many possible codes are there?
Choices:
3250
3360
3470
3580
Answer: B
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
8
5
1
Answer: A
Question: How many integers are there between 55 and 95, inclusive?
Choices:
41
56
57
58
Answer: A
Question: In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?
Choices:
48
32
64
57
Answer: A
Question: Four different children have jelly beans: Aaron has 3, Bianca has 7, Callie has 8, and Dante has 11. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
Choices:
3
4
5
6
Answer: B
Question: At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Choices:
12
17
19
11
Answer: A
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams. Find the profit percent.
Choices:
100/23%
100/9%
100/13%
None of these
Answer: B
Question: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
28088
27098
37500
2799
Answer: C
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
Rs.319.06
Rs.306.04
Rs.294.75
Rs.295.75
Answer: B
Question: From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 1 kilometer per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P?
Choices:
5
8
10
12
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
12
14
15
Answer: A
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 6 shirts each of them then average number of shirt each of them now has
Choices:
66
62
can't be determined
None of these
Answer: A
Question: If James has to pay 12 % interest per year on an amount of $60,000 for 12 year then what is total interest paid?
Choices:
35410
36074
35973
32158
Answer: A
Question: By approximately what percent is x greater than 5/11 if (4/11)(x) = 1?
Choices:
560%
410%
505%
209%
Answer: C
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.16 per cubic meter?
Choices:
2799
2890
1485
1584
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 E acres were used for corn?
Choices:
258
376
470
517
Answer: B
Question: The cash difference between the selling prices of an book at a profit of 4% and 6% is $3. The ratio of the two selling prices is:
Choices:
52:33
52:53
45:53
51:34
Answer: B
Question: if z=100^2-x^2,then for how many value of x, z is divisible by 6.
Choices:
66
44
55
77
Answer: A
Question: In how many ways can the letters of the word ACUMEN be rearranged such that the vowels alwaysappear together?
Choices:
144 ways
134 ways
154 ways
164 ways
Answer: A
Question: How many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Choices:
109
108
101
104
Answer: B
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
99
277
12
Answer: A
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
20, 35, 45
20, 35, 48
None of these
Answer: A
Question: The average (arithmetic mean) of six numbers is 5. If 3 is subtracted from each of four of the numbers, what is the new average?
Choices:
2
3
4
4.5
Answer: B
Question: 9.6 , 9.6 , 10.0 , 10.0 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.278 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Choices:
62.5%
80.67%
75.50%
90.30%
Answer: A
Question: Two different types of tea are mixed, at 6 Kg of type 1 and 4 Kg of type 2. One Kg of type 1 is Rs. 6 and that of type 2 is Rs. 7. The seller get 10% profit, by this action. Find at what price, he had sold the mixture/Kg?
Choices:
Rs 7.04
Rs 6.04
Rs 8.04
Rs 9.04
Answer: A
Question: The distance between 2 cities A and B is 1000km. A train starts from A at 12 p.m. and travels towards B at 100 km/hr. Another starts from B at 1 p.m. and travels towards A at 150 km/hr. At what time do they meet?
Choices:
12p.m.
5pm.
2p.m.
1p.m.
Answer: B
Question: If a – b = 3 and a2 + b2 = 29, find the value of ab.
Choices:
10
15
18
19
Answer: A
Question: A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 30%?
Choices:
Rs. 40985
Rs. 20985
Rs. 21000
Rs. 30985
Answer: B
Question: If f(x) = Log(x), then f -1(x) =
Choices:
10 x
1 / 10 x
x 10
NONE
Answer: A
Question: An aeroplane covers a particular distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hour, it must travel at a speed of
Choices:
720 kmph
700 kmph
450 kmph
500 kmph
Answer: A
Question: Machine A takes 100 hours to complete a certain job and starts that job at 6AM. After ten hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Choices:
22.27
2.273
11.62
21.13
Answer: B
Question: A pipe can empty 3/4th of a cistern in 12mins. In 8 mins, what part of the cistern will be empty?
Choices:
1/2
4/9
3/8
4/7
Answer: A
Question: The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 4 years ago?
Choices:
214560
145125
210000
200000
Answer: B
Question: Frank is 13 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
Choices:
10
12
14
16
Answer: B
Question: In a certain game there are 7 steps, referred to as step 1, step 2, and so on with the final step being step 7. The steps are played one after the other. In each step a score of 1, 2,3 or 4 is obtained. Mary played the game, getting at least one score of each of 1, 2, 3 and 4 and never getting the same score in consecutive steps. What is the greatest possible score that Mary could have gotten?
Choices:
19
17
18
16
Answer: C
Question: A 200 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Choices:
300m
230m
240m
250m
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
135
278
277
112
Answer: A
Question: From given equation find the value of x: 2x² + 9x − 5
Choices:
−5
-3
3
4
Answer: A
Question: A and B working separately can complete a piece of work in 9 and 12 days respectively. If they work alternatively starting from A in how many days will the work be completed?
Choices:
10.23 days
18.25 days
10.25 days
40.25 days
Answer: C
Question: Find the value of (875 233/899) × 899
Choices:
786858
788865
786588
None of them
Answer: A
Question: If c = (1/4)a and b = 7c, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of c ?
Choices:
3b
4b
5b
12b
Answer: B
Question: A train of length 230 metres takes 58 seconds to cross a tunnel of length 60 metres. What is the speed of the train in km/hr?
Choices:
60 km/hr.
30 km/hr.
18 km/hr.
None
Answer: C
Question: If x, y, and z are distinct positive prime numbers, then (x^3)(y)(z) has how many different positive factors greater than 1?
Choices:
b. 9
c. 12
d. 15
e. 17
Answer: D
Question: Two pipes can fill a tank in 18 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Choices:
7.25 Hours
8.25 Hours
9.25 Hours
11.25 Hours
Answer: D
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 70 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
20 kmph
21 kmph
26 kmph
28 kmph
Answer: A
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
97
268
27
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
1500
2000
1220
1000
Answer: B
Question: 5, 11, 23, 41, 64, _
Choices:
95
97
98
99
Answer: A
Question: In a family 19 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family?
Choices:
31
9
31
21
Answer: A
Question: The traffic lights at 3 different roads change after every 36 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
Choices:
9:18:36
10:15:24
9:54:12
10:01:20
Answer: A
Question: A cistern is filled by pipe A in 20 hours and the full cistern can be leaked out by an exhaust pipe B in 25 hours. If both the pipes are opened, in what time the cistern is full?
Choices:
60hrs
70hrs
80hrs
100hrs
Answer: D
Question: What is the greatest value of n such that 24^n is a factor of 24! ?
Choices:
2
3
4
8
Answer: D
Question: 20 14 8
10 5 10
5 ? 3
Choices:
3
4
5
6
Answer: B
Question: find value for x from given equation ? x + 1 = -3
Choices:
x=-4
-3
-5
5
Answer: A
Question: Solve This
6 + 7 = 12
8 + 9 = 16
5 + 6 = 10
7 + 8 = 14
Then, 9 + 3 = ??
Choices:
11
13
14
18
Answer: A
Question: A boat can move upstream at 20 kmph and downstream at 34 kmph, then the speed of the current is?
Choices:
7
8
4
2
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
Rs.1500
Rs.6000
Rs.3000
Rs.2000
Answer: D
Question: 13, 35, 57, 79, 911, ?
Choices:
1113
1117
1110
1112
Answer: A
Question: 9 - 3 ÷ 1/3 + 6 = ?
Choices:
3
6
9
12
Answer: B
Question: A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 6 minutes. How much time will be take to cover a distance of 6 kilometres?
Choices:
50 min.
66 min.
55 min.
None of these
Answer: B
Question: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 175kg then find the average weight of all the 7 rounds?
Choices:
100 kgs
86.5 kgs
67.5 kgs
88.2 kgs
Answer: A
Question: A CAN FINISH A WORK IN 6 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?
Choices:
2
6
8
NONE OF THESE
Answer: A
Question: A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 30 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:
90
70
20
10
Answer: A
Question: Circles X and Y are concentric. If the radius of circle X is four times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
Choices:
Pi/3
Pi/2
15/16
8/9
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
168 m
120 m
168 m
178 m
Answer: B
Question: The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 440 kms in 5 hours, then the speed of the first train is:
Choices:
77 km/hr.
90.25 km/hr.
94.25 km/hr.
96.25 km/hr.
Answer: A
Question: The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
X/Y.
Y/X.
1/(X+Y)
1/(X-Y).
Answer: A
Question: What will be the difference between simple and compound interest at 8% per annum on a sum of Rs. 1000 after 4 years?
Choices:
64.12
40.5
64.1
64.11
Answer: B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
27
26
12
19
Answer: C
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Choices:
145778
220050
220800
220030
Answer: B
Question: 1,3,6,10,15,?
Choices:
18
19
20
21
Answer: D
Question: The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is
Choices:
0.2%
0.3%
0.4%
0.5%
Answer: C
Question: B takes 12 more days than A to finish a task. B and A start this task and A leaves the task 12 days before the task is finished. B completes 60% of the overall task. How long would B have taken to finish the task if he had worked independently?
Choices:
36 days
28 days
32 days
22 days
Answer: A
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (4x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Choices:
I,II,III NOT TRUE
I and II
I and III
II and III
Answer: A
Question: ake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
Choices:
48
37
27
29
Answer: A
Question: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?
Choices:
1/3
2/3
1/4
2/5
Answer: B
Question: There are 10 points on a circle. A hexagon can be formed by linking 4 of the 10 points. How many such hexagons are possible?
Choices:
120
200
210
600
Answer: C
Question: John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit?
Choices:
4/8
6/5
1/2
2/3
Answer: C
Question: What is the absolute value of twice the difference of the roots of the equation Q=5y^2 − 20y + 15 = 0 ?
Choices:
1
2
3
4
Answer: D
Question: A cyclist rides a bicycle 8 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 8 km/hr. What is the average speed for the entire trip?
Choices:
8.48
8.78
8.98
9.18
Answer: B
Question: Question:	A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $180. The cost for 1 bat and 6 balls is $170, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $210 for the purchase?
Options:
Choices:
2
3
4
5
Answer: B
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Choices:
24
15
30
60
Answer: C
Question: (8^16)+(16^10)+(4^24) = ?
Choices:
(6)*(2^48)
(9)*(2^49)
(28)*(2^53)
2^148
Answer: D
Question: Alfred buys an old scooter for $4700 and spends $1000 on its repairs. If he sells the scooter for $5800, his gain percent is?
Choices:
6.23%
1.75%
8.12%
10%
Answer: B
Question: Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 40 kgs of raisins?
Choices:
150 kgs
72 kgs
65 kgs
70 kgs
Answer: A
Question: If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number E of integers that can be negative?
Choices:
3
4
5
6
Answer: C
Question: 7 teams compete in a track competition. If there are 14 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Choices:
4
5
6
7
Answer: B
Question: A man swims downstream 72 km and upstream 45 km taking 10 hours each time; what is the speed of the current?
Choices:
1.85
1.65
1.35
1.15
Answer: C
Question: A father is now three times as old as his son. Eight years back, he was four times as old as his son. The age of the son (in years) is
Choices:
24
18
27
25
Answer: A
Question: In a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.1
0.65
0.75
0.85
Answer: A
Question: A certain auto manufacturer sold 8% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
1,930,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.5 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$25.5m
$106.25m
$127.5m
$135m
Answer: D
Question: In a 100 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the maximum number of members who are homeowners?
Choices:
29
25
23
21
Answer: A
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.3500 and B Rs.2500, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2707
7728
4200
6000
Answer: D
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 4 days, working 15 hours a day, the number of men required?
Choices:
12days
16days
18days
20days
Answer: B
Question: A sum fetched a total simple interest of Rs. 1000 at the rate of 10 p.c.p.a. in 4 years. What is the sum?
Choices:
2500
3500
1900
1500
Answer: A
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 6 family members in a row for the picture?
Choices:
9×8!
4x5!
10!/2!
10!
Answer: B
Question: There are 6 gentlemen and 5 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
Choices:
36400
86400
65600
88600
Answer: B
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 420?
Choices:
48
64
84
90
Answer: C
Question: What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 8134.632 = ?
Choices:
11800
12030
16400
13600
Answer: A
Question: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choices:
2/7
5/12
1/2
7/12
Answer: B
Question: If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?
Choices:
100
120
200
3,000
Answer: C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
17.5 kmph
15.5 kmph
12.5 kmph
22.5 kmph
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
1/5
4/7
7/4
2/7
Answer: B
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through E and the letters E and A must be among the letters selected?
Choices:
64
36
18
6
Answer: C
Question: Indu gave Bindu Rs.4375 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
7
4
9
Answer: B
Question: A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.
Choices:
21
25
30
35
Answer: B
Question: In how many different ways can the letters of the word ORGANISE be arranged in such a way that all the vowels always come together and all the consonants always come together?
Choices:
1152
2880
1440
None of these
Answer: A
Question: In a certain school, 20% of the students are below 8 yrs of age. The number of students above 8 yrs of age is (2/3) of the number of students of 8 years age which is 96. What is the total number of students in the school?
Choices:
200
267
176
161
Answer: A
Question: The combined salaries of three brothers is $180,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choices:
22,000
25,000
30,000
40,000
Answer: D
Question: Which of the following is closer to (22!+21!)/(22!-21!)?
Choices:
36
1
16
25
Answer: B
Question: If 3 strawberry vines produce 30 fruit and 20 strawberry vines produce 200 fruit, how many fruit do 50 strawberry vines produce?
Choices:
50
500
5000
3
Answer: B
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 3, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible?
Choices:
15
18
24
36
Answer: B
Question: The breath of a rectangle is three- seventh 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 length is 10 units?
Choices:
110 sq.units
210 sq.units
105 sq.units
205 sq.units
Answer: B
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 12?
Choices:
8
5
6
7
Answer: A
Question: Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ?
Choices:
5/13
6/11
3/5
None
Answer: B
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Choices:
2681
2689
1000
2760
Answer: C
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
Choices:
85
204
224
95
Answer: A
Question: A train of 40 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3
4
3.9
3.6
Answer: C
Question: Two mixtures A and B contain milk and water in the ratios 2:5 and 5:4 respectively. How many gallons of A must be mixed with 90 gallons of B so that the resultant mixture contains 40% milk?
Choices:
122.5
105.1
72
134
Answer: A
Question: 0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya’s age will beat her daughter’s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]
Choices:
10:2
11:4
13:4
None of these
Answer: C
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
6.124%
6.125%
7.256%
8.234%
Answer: B
Question: 46 x 46 = ?
Choices:
2516
1600
36
2116
Answer: D