antoine-444/aqua_rat_dataset huggingface dataset:
Question: A letter lock consists of three rings each marked with eight different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
511
518
519
172
Answer: A
Question: What least value should be replaced by * in 223*431 so the number become divisible by 9
Choices:
3
5
6
7
Answer: A
Question: In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
Choices:
190
205
220
235
Answer: B
Question: What is the sum of the integers from -194 to 195 inclusive?
Choices:
5
195
875
965
Answer: B
Question: If a man buys 10 lollipops for $80 and sold them for $2 dollars determine his loss.
Choices:
60
70
80
90
Answer: A
Question: What is the tens' digit R of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
Choices:
R=3
R=4
8
9
Answer: A
Question: On flipping 3 coins together what is the outcomes for at least two tails?
Choices:
{HHT, HHT, HTH, THH}
{TTH, HHT, HTH, THH}
{TTH,THT, HTT,TTT}
None
Answer: C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
2
5
7
Answer: A
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-6) ∆ (6 ∆ −6) ?
Choices:
81/4
25/4
49/9
25/9
Answer: D
Question: The average of five results is 46 and that of the first four is 35. The fifth result is?
Choices:
90
77
66
51
Answer: A
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1by7
1/9
7/8
1/5
Answer: A
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of r square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Choices:
(5,280 mt) / 12 r
(5,280 pmt) /12
(5,280)(12m) / pt
(5,280)(12p) / mt
Answer: A
Question: The ratio of men to women in the Snyder community choir is 4 to 7. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Choices:
24
28
32
34
Answer: B
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Choices:
54
96
Cannot be determined
56
Answer: C
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 25 =
Choices:
10
12
5
8
Answer: C
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
77
66
8
Answer: A
Question: In store A there are 10 pairs of pants for every 50 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
4:15.
3:4.
2:5.
Answer: B
Question: The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 52, what is the value of x?
Choices:
4
5
6
7
Answer: B
Question: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is?
Choices:
12
24
36
48
Answer: A
Question: Find the value of x in 5(x+4)=25
Choices:
1
2
2.5
3
Answer: A
Question: When positive integer D is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when D is divided by B?
Choices:
14
15
16
17
Answer: A
Question: Jancy invested an amount of Rs. 9,000 at the rate of 10% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
12800
11800
16800
17800
Answer: D
Question: How many different eight letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Choices:
11!/(2!*2!*2!)
56
76
11!/(3!*2!*2!*2!)
Answer: C
Question: Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following R must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Choices:
II only
III only
I and III only
R=None of the above
Answer: D
Question: Tom, working alone, can paint a room in 8 hours. Peter and John, working independently, can paint the same room in 4 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
4/7
6/7
1/7
3/7
Answer: A
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Choices:
98 days
32 days
45 days
24 days
Answer: B
Question: Calculate the largest 3 digit number which is exactly divisible by 89?
Choices:
969
979
977
971
Answer: B
Question: If a, b are integers and |a-b|=12, which of the following is the smallest possible value of ab?
Choices:
0
-36
7
40
Answer: B
Question: Find the sum of first 80 odd numbers
Choices:
6400
5000
4980
4960
Answer: A
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
Choices:
19 kmph
15 kmph
12 kmph
16 kmph
Answer: C
Question: Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King
Choices:
1/26
1/26
1/25
1/22
Answer: A
Question: Find the constant k so that : -x2 - (k + 10)x - 8 = -(x - 2)(x - 4)
Choices:
12
16
14
15
Answer: B
Question: Multiply: (x – 4)(x + 5)
Choices:
(b) x2 - 4x - 20
(c) x2 - x - 20
(d) x2 + x - 20
(e) x2 + x + 20
Answer: C
Question: A computer store originally bought 1,000 modems at a total cost of d dollars. If each modem was sold for 25 percent more than its original cost, what was the individual price, in terms of d, of each modem sold?
Choices:
d/800
125d
d/1000 + 25
125/(1000d)
Answer: A
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
A)19.7
C)21.4
D)21.5
E)22.5
Answer: A
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 4 minutes?
Choices:
54
108
216
324
Answer: C
Question: In a 100 metre race, A can allow B to start the race either 10 metres ahead of the starting point or 2 seconds before A so that both reach the finishing line at the same time. What is the speed of B in m/sec and how long will A take to run 100 m?
Choices:
5 m/s; 18 sec
4 m/s; 15 sec
3 m/s; 12 secs
2 m/s; 6 secs
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 21 months?
Choices:
18:15
21:11
18:121
18:112
Answer: B
Question: In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
Choices:
25 percent
33 1/3 %
50%
75%
Answer: A
Question: What will be the cost of house to decorate which area equal to 324 sq ft, if the price per foot of building is Rs. 10?
Choices:
240
360
720
860
Answer: C
Question: In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
Choices:
15 min
10 min
5 min
None of these
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 54, what is the total amount?
Choices:
105
178
177
210
Answer: D
Question: Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
28 1/7 min
17 1/7 min
13 3/7 min
17 5/7 min
Answer: C
Question: A can do a job in 18 days and B can do it in 30 days. In how many days will they finish it together?
Choices:
4/45
2/7
6/3
5/2
Answer: A
Question: A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 4 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
Choices:
2,400,000
55,000
28,000
280
Answer: A
Question: In the fifth grade at Parkway elementary school there are 470 students. 300 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
135.
81.
91.
108.
Answer: A
Question: Two negative numbers are multiplied to give a product of 48. If the lesser number is 10 less than thrice the greater number, what is the greater number?
Choices:
-6
-5
-9
-10
Answer: A
Question: A and B invests Rs.2500 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
15:16
15:2
9:9
11:1
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: A can finish a work in 18 days and B can do the same work in 15 days. B
worked for 10 days and left the job. In how many days A alone can finish the
remaining work?
Choices:
6
3
2
1
Answer: A
Question: A basket has 4 apples and 4 oranges. FOUR fruits are picked at random. The probability that at least 3 apples are picked is
Choices:
17/70
21/70
23/70
25/71
Answer: A
Question: When positive integer X is divided by positive integer Y, the remainder is 8. If X/Y = 96.12, what is the value of Y?
Choices:
75
66.7
25
12
Answer: B
Question: John got a monthly raise of $237. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
Choices:
723
732
231
237
Answer: D
Question: Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
Choices:
67
71
73
79
Answer: A
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Choices:
22
23
26
30
Answer: A
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
640
188
177
166
Answer: A
Question: 1, 9, 17, 33, 49, 73, ?
Choices:
69
97
88
60
Answer: B
Question: To create paint with a certain shade of gray, one must combine 2.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
140.0
347.1
694.4
705.6
Answer: A
Question: Which of the following fractions is greater than 1/4 and less than 3/5?
1. 3/4 2. 2/5 3. 1/2 4. 4/5 5. 1/5 6. 9/10
Choices:
4/7
2/3
1/8
1/4
Answer: A
Question: A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
700 m
600 m
187 m
1678 m
Answer: B
Question: P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
Choices:
8 days
13
5 days
2days
Answer: B
Question: Find the length of the wire required to go 10 times round a square field containing 53824 m2.
Choices:
9280
2667
8766
66711
Answer: A
Question: In each term of a sequence, 7 is added to get the next term. If the first term is 3, what is the thirty-seventh term?
Choices:
284
252
263
255
Answer: D
Question: In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?
Choices:
56
80
100
120
Answer: A
Question: Sandy is younger than Molly by 12 years. If the ratio of their ages is 7:9, how old is Sandy?
Choices:
42
56
63
70
Answer: A
Question: In how many different number of ways a Committee of 2person of can be selected from 2boys and 2girls such that at least 1 girl is included in the committe
Choices:
4
2
5
9
Answer: C
Question: If n is a natural number, then 6n^2 + 6n is always divisible by?
Choices:
6 and 12
12 only
18 only
20 only
Answer: A
Question: A board 5ft. 2 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
3ft. 7 inches
4ft. 7 inches
1ft. 8.7 inches
1ft. 7 inches
Answer: C
Question: A train is moving at a speed of 50km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Choices:
45sec
36sec
29sec
52sec
Answer: B
Question: William is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Coconut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If William accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Coconut oil?
Choices:
15/29
5/16
1/2
13/27
Answer: A
Question: A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got inh english?
Choices:
180,60
180,90
120,40
None of them
Answer: A
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $400 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
5000
2000
4000
6000
Answer: B
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
580
585
582
523
Answer: B
Question: A train 105 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50
42.8
288
12
Answer: B
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/22
5/23
5/20
Answer: A
Question: If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Choices:
1) A and E
3) A,C,D
4) All of them
5) None of them
Answer: A
Question: In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 360 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?
Choices:
96
120
132
140
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
216 cm2
197 cm2
275 cm2
Answer: A
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
115 sec
490 sec
390 sec
Answer: B
Question: There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What`s the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?
Choices:
- 3
- 14
- 19
- 20
Answer: D
Question: Find the average of all numbers between 3 and 69 which are divisible by 5
Choices:
20
25
30
35
Answer: D
Question: The sum of two prime numbers is 85. What is the product of these two prime
numbers?
Choices:
91
115
133
166
Answer: D
Question: The difference between simple interest and the compound interest on Rs.600 for 1 year at 10% per annum, reckoned half-yearly is :
Choices:
Rs.6.60
Rs.4.40
Rs.1.50
Cannot be determined
Answer: C
Question: How many numbers from 10 to 1000 are exactly divisible by 9?
Choices:
100
11
12
14
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
9000
7000
10000
11000
Answer: C
Question: How many times the keys of a writer have to be pressed in order to write first 500 counting no's?
Choices:
1382
1392
1362
1352
Answer: B
Question: In a certain sequence, the first term is 4, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Choices:
23/14
8/5
5/8
8/13
Answer: A
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 54, find the ages of Toby and Debby?
Choices:
5 and 9
5 and 10
6 and 10
7 and 11
Answer: D
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive?
Choices:
840
1260
2520
27,720
Answer: D
Question: A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
4 hr
3 hr
6 hr 40 min
2 hr 50 min
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89 sec
77 sec
99 sec
55 sec
Answer: A
Question: John buys a bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
Choices:
5 5/11%
6%
6 6/11%
6 7/13%
Answer: A
Question: By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
27
25
23
21
Answer: A
Question: If the speed of a man is 51 km per hour, then what is the distance traveled by him in 30 seconds ?
Choices:
360m
375 m
425 m
440 m
Answer: C
Question: A work as fast as B. If B can complete a work in 16days independently,the number of days in which A and B can together finish the work in?
Choices:
3days
4days
5 1/3days
6days
Answer: C
Question: Working alone at its constant rate, machine A produces x boxes in 5 minutes and working alone at its constant rate, machine B produces 2x boxes in 10 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Choices:
7.5 minutes
5 minutes
6 minutes
12 minutes
Answer: A
Question: Calculate how many ways a woman who has 2 bags and 5 books can put the books in her bag?
Choices:
32
29
30
31
Answer: A
Question: Mudit's age 22 years hence will be thrice his age four years ago. Find Mudit's present age?
Choices:
17
27
18
15
Answer: A
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choices:
9%loss
7%loss
8%loss
1%loss
Answer: A
Question: Three people (1 couple and 1 single) are seated at random in a row of 7 chairs. What is the probability that the couple does not sit together?
Choices:
4/7
5/7
6/7
9/14
Answer: B
Question: If 7 boys can color 56 m long cloth in 1 day, then 6 boys can color 36 m long cloth in
Choices:
day
days
days
days
Answer: A
Question: The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
Choices:
100% p.a.
40% p.a
44% p.a
50% p.a
Answer: B
Question: At a local appliance manufacturing facility, the workers received a 30% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
80%
23%
17%
12%
Answer: B
Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
A. 9974
Choices:
282
378
292
281
Answer: D
Question: In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to
obtain a mixture worth Rs.16.50 per Kg?
Choices:
2 : 1
3 : 7
7 : 3
None of these
Answer: C
Question: In how many ways can the word LEADING arranged if Vowels always come together?
Choices:
720
60
8220
100
Answer: A
Question: Find the value of (875 233/899) × 899
Choices:
786658
786679
786858
786890
Answer: C
Question: Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choices:
3/5
7/5
1/2
8/15
Answer: A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
16 kmph
18 kmph
19 kmph
Answer: A
Question: A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?
Choices:
267
176
287
261
Answer: B
Question: If an investor puts $900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choices:
$988.25
$990.25
$992.25
$994.25
Answer: C
Question: About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be
Choices:
only two such pairs exist
many such pairs exist
no such pair exists
None of these
Answer: C
Question: A car moves at 80 km/hr. What is the speed of the car in meters per second ?
Choices:
2229msec
2429msec
2629msec
None of these
Answer: A
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
2889
6480
2799
Answer: C
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ?
Choices:
32%
48%
84%
92%
Answer: C
Question: If p and r are integers, and p^2 = 14r, then r must be divisible by which of the following?
Choices:
4
5
7
14
Answer: C
Question: A train covers a certain distance at a speed of 320kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
800km/hr
740km/hr
640km/hr
600km/hr
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 11 m wide at the top and 9 m wide at the bottom and the area of cross-section is 960 sq m, the depth of cannel is?
Choices:
92
94
49
96
Answer: D
Question: By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?
Choices:
18
20
22
25
Answer: A
Question: If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4th as much as C. The amount B received is?
Choices:
270
310
330
350
Answer: A
Question: A football player scores 5 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be
Choices:
16
18
10
21
Answer: D
Question: If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choices:
3/25
8/35
2/13
3/17
Answer: B
Question: If the difference between compound interest (interest compounded yearly) and simple interest on a certain sum at the rate 20% p.a. after 3 years is Rs.1280 then what is the principal?
Choices:
8,000
10,000
8,300
9,300
Answer: B
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.20286/- in 3 years at the same rate of interest. Find the rate percentage?
Choices:
7%
9%
15%
12%
Answer: C
Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Choices:
20%
18%
30%
none of these
Answer: A
Question: A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?
Choices:
2882
1400
277
2282
Answer: B
Question: Departments A, B, and C have 15 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choices:
40,000
100,000
641,250
400,000
Answer: C
Question: A person buys an article at Rs.620. At what price should he sell the article so as to make a profit of 25%?
Choices:
882
775
662
521
Answer: B
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Choices:
150, 206
150, 200
150, 202
150, 201
Answer: B
Question: What is the product of the greatest 2 digit multiple of 15 and the greatest 2 digit prime number?
Choices:
9,408
9,506
9,603
8730
Answer: D
Question: BMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 6 of them still work in AMS is ?
Choices:
1.22
0.1
0.16
0.18456
Answer: D
Question: In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports:
Choices:
+ 20%
+ 305
- 30%
Cannot determined
Answer: A
Question: Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
4
55
95
125
Answer: A
Question: Find the odd one out:
125, 106, 85, 76, 65, 58, 53
Choices:
85
26
18
222
Answer: A
Question: A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
87 km
89 km
29 km
20 km
Answer: C
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 10 km each. Then they turned left and ran for another 7.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
Choices:
23
25
27
30
Answer: B
Question: A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:
Choices:
430
440
450
460
Answer: C
Question: Each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Choices:
9/20
8/15
5/12
2/3
Answer: C
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 210. The amount of the bill is
Choices:
1960
1600
1354
None of these
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
70 kg
75 kg
80 kg
85 kg
Answer: D
Question: A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
Choices:
6:10:5
10:5:6
10:6:5
5:6:10
Answer: A
Question: A bullet train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the bullet train must run to reduce the time of journey to 40min will be.
Choices:
40 kmph
60 kmph
90 kmph
30 kmph
Answer: B
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 9. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Choices:
(4m-27)/[m(m-6)]
(4m-27)/[m(m-9)]
(4m-27)/[m(m-8)]
(4m-20)/[m(m-10)]
Answer: B
Question: If a light flashes every 6 seconds, how many times will it flash in 1/4 of an hour?
Choices:
151
251
351
451
Answer: A
Question: A person covered one-fourth of the total distance at 17 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
21 (19/25)
21 (8/25)
29 (1/25)
21 (4/25)
Answer: A
Question: Dhanumjay invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
5% p.a.
6% p.a.
4% p.a.
3% p.a
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Choices:
14 years
33 years
38 years
39years
Answer: A
Question: How many anagrams can we make with the word 'CACAO'?
Choices:
5!/(2!)2 2!
5!/(3!)2 3!
4!/(2!)2
5!/(2!)2
Answer: D
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
Choices:
next number is 48
40
43
44
Answer: A
Question: If 9 is a factor of 2k, then which of the following may not be an integer?
Choices:
6k/54 + 2k/3
(2k+27)/9
(81-4k^2)/81
(2k-3)/3
Answer: A
Question: If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:
Choices:
30
20
40
50
Answer: B
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Choices:
3
4
5
6
Answer: B
Question: The area of a circle of radius 5 is numerically what percent of its circumference?
Choices:
225
240
250
None
Answer: C
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
178 m
245 m
278 m
297 m
Answer: B
Question: How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?
Choices:
18
135
17
12
Answer: B
Question: Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.
Choices:
Rs. 20000
Rs. 50000
Rs. 45000
None of these
Answer: A
Question: X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.26400
Rs.12000
Rs.12500
Rs.15400
Answer: D
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 30% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Choices:
79%
86%
116%
150%
Answer: A
Question: Find the distance covered by a man walking for 72min at a speed of 10km/hr?
Choices:
12 km
4km
5km
6km
Answer: A
Question: The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be?
Choices:
(x- 37)
(x−37)/2 + z
x/2 - 37 + z
(2x−37)/z
Answer: A
Question: If (a-5)(y+2) = 0 which of the following must be true?
Choices:
a > y
a < y
ay = -10
None of the above
Answer: D
Question: There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?
Choices:
0.36
0.4
0.42
0.46
Answer: B
Question: What is the difference between the C.I. on Rs. 6000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choices:
s.2.08
s.2.02
s.2.83
s.2.45
Answer: D
Question: Cistern may be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
Choices:
8.5 hrs
7 hrs
7.2 hrs
9 hrs
Answer: C
Question: A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
Choices:
45%
50 %
60 %
55 %
Answer: C
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
22 years
21 years
20 years
19 years
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Choices:
17
12
83
28
Answer: A
Question: If 9/(1 + 4/x) = 1, then x =
Choices:
1/2
1/3
-1/3
-3
Answer: A
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
Rs.3700
Rs.3800
Rs.3900
Rs.4900
Answer: C
Question: In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
Choices:
48
52
30
24
Answer: A
Question: What number comes next in this Number series.
4 4 6 9 7 8 8 ?
*Hint: check calende
Choices:
3
6
7
8
Answer: C
Question: If the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Choices:
20%
24.2%
33.33%
None of these
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?
Choices:
60
64
68
72
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 16 such machines produce in 4 minutes ?
Choices:
2880
2700
10800
None of these
Answer: A
Question: If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x * y from options below?
Choices:
625
243
921
741
Answer: B
Question: The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?
Choices:
140 km/hr
110 km/hr
120 km/hr
None of these
Answer: A
Question: Vehicle X is 22 miles ahead of Vehicle Y, which is traveling the same direction along the same route as Vehicle X. If Vehicle X is traveling at an average speed of 36 miles per hour and Vehicle Y is traveling at an average speed of 45 miles per hour, how long will it take Vehicle Y to overtake and drive 23 miles ahead of Vehicle X?
Choices:
5 hours
4 hours
3 hours 45 minutes
2 hours 30 minutes
Answer: A
Question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
Choices:
$1825
$3150
$7000
$10000
Answer: A
Question: Currently guavas cost 30 cents/pound. Due to a disease affecting the guava trees it is expected that next month guavas will cost 50% more than they do currently. How much are guavas expected to cost next month?
Choices:
45 cents /pound
55 cents /pound
60 cents /pound
65 cents /pound
Answer: A
Question: There are 10 children in a company's day-care center, and a pair of children is to be selected to play a game. At most, how many different pairs are possible?
Choices:
90
50
45 different pairs
25
Answer: C
Question: 8.008/4.004
Choices:
2
0.2
20
2
Answer: A
Question: If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
Choices:
4:3
4:5
4:7
4:2
Answer: A
Question: A rectangular garden is to be twice as long as it is wide. If 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
Choices:
50
60
70
80
Answer: A
Question: Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?
Choices:
3, -2/3
-5, 2
-9, 2
None of these
Answer: A
Question: While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?
Choices:
8 + 15/17
8 + 15/12
8 + 15/11
8 + 15/110
Answer: A
Question: In a ground there are men and dogs. In all, there are 20 heads and 72 feet. How many men and how many horses are in the ground?
Choices:
7 men and 14 dogs.
6 men and 14 digs.
5 men and 14 dogs.
4 men and 14 dogs.
Answer: B
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 8:30 am. They shall first cross each other at ?
Choices:
7:30 am
8: 42 am
7:50 am
7:60 am
Answer: B
Question: A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
8
88
77
14
Answer: A
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
Choices:
18 hours
20 hours
24 hours
None
Answer: C
Question: If m = ||n – 3| – 2|, for how many values of n is m = 6?
Choices:
3
4
5
2
Answer: D
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed W ?
Choices:
8
10
12
16
Answer: A
Question: A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 15% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
Choices:
40 lbs
30 lbs
50 lbs
63 lbs
Answer: D
Question: The difference between two integers is 5. Their product is 500. Find the numbers.
Choices:
20, 25
30, 25
21, 26
25, 27
Answer: A
Question: The sum of the first 60 positive even integers is 3,750. What is the sum of the odd integers from 101 to 200, inclusive?
Choices:
4,700
10,500
15,000
19,600
Answer: A
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 12.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
Choices:
84
70
98
140
Answer: A
Question: If x ≠ 0 and x^3 - (2- x^3)/x^3 = y/x^2, then y =
Choices:
-2+x
-(x+2)
-2/x
1/x
Answer: C
Question: Three friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
Choices:
10%
20%
25%
33%
Answer: C
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 10 days.In how many days B alone can do the work?
Choices:
15 days
12 days
9 days
10 days
Answer: A
Question: If the sum of 5 consecutive integers is y, which of the following must be true?
I. y is an even number
II. y is an odd number
III. y is a multiple of 5
Choices:
II only
III and II only
I and III
III only
Answer: D
Question: A company consists of 5 senior and 3 junior staff officers. If a committee is created with 1 senior and 2 junior staff officers, in how many ways can the committee be formed?
Choices:
15
45
80
200
Answer: A
Question: The average of first ten prime numbers which are odd is?
Choices:
15.5
15.2
15.8
13.2
Answer: C
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 10200, how much money did he borrow?
Choices:
10000
2668
2600
2781
Answer: A
Question: By how much is three-fifth of 600 greater than four- seventh of 210 ?
Choices:
240
420
None of these
Cannot be determined
Answer: A
Question: If we have 8 people in a meeting, in how many ways they can sit around a table?
Choices:
9*8!
8*7!
7*6!
6*5!
Answer: C
Question: The area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm. What is the perimeter of the square?
Choices:
208
210
220
228
Answer: A
Question: Two employees X and Y are paid a total of Rs. 650 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.250.45
s.295.45
s.300.45
s.310.45
Answer: B
Question: On dividing 52 by a number, the quotient is 16 and the remainder is 4. Find the divisor?
Choices:
3
5
7
9
Answer: A
Question: If s and t are positive integers such that s/t = 4.12, which of the following could be the remainder when s is divided by t ?
Choices:
4
8
20
30
Answer: D
Question: A table is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage
Choices:
25% gain
15% gain
15% loss
None
Answer: A
Question: What is the next number: 3, 11, 83, __
Choices:
731
831
849
901
Answer: A
Question: A semicircle has a radius of 11. What is the approximate perimeter of the semicircle?
Choices:
51
57
63
69
Answer: B
Question: The cubic f(x) = x3 - 7x - 6 has three distinct roots, a, b, and c. Compute 1/a + 1/b + 1/c .
Choices:
-6/6
-7/6
-8/6
-9/6
Answer: B
Question: If x>=y and y>1 , what is the maximum value of log (base x) -(x/y) + log (base y)x^2/y?
Choices:
0
0.5
1
2
Answer: A
Question: 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
Choices:
233/3
233/1
233/2
263/3
Answer: A
Question: Cereal A is 9% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
2:5
1:6
1:4
1:3
Answer: A
Question: If a committee of 3 people is to be selected from among 9 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
Choices:
540
550
672
720
Answer: C
Question: What will $3000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Choices:
$4632
$4864
$5184
$5548
Answer: C
Question: A man is 40 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is
Choices:
32 years
33 years
34 years
35 years
Answer: C
Question: Inland revenue paid $300 on its first 1000 watts of electricity and then $5000 on the next 10000 watts. By approximately what percent did the ratio of monies due to watts increase from the first $1000 watts to the next 10000 watts?
Choices:
B) 6%
C) 60%
D) 20%
E) 40%
Answer: B
Question: A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price S per t-shirt that the vendor paid for these purchases?
Choices:
$12.20
$12.55
$12.70
$13.00
Answer: A
Question: A boat travels 80 km downstream in 8 hours and 48 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
7 km/hr, 3 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: A
Question: Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?
Choices:
1.1 inches
1.6 inches
2.0 inches
2.5 inches
Answer: A
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 34 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choices:
22.67 litres
11 litres
07 litres
38.67 litres
Answer: A
Question: There is a 30% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
Choices:
37.5%
50.0%
62.5%
75%
Answer: B
Question: 9 3/4 + 7 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
7 817/1020
None of them
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/129
2/21
2/20
2/25
Answer: B
Question: 123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
Choices:
16
17
18
19
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10 months
9 months
11 months
8 months
Answer: A