antoine-444/aqua_rat_dataset huggingface dataset:
Question: Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5days extra by reading 10 pages a day less, how many days did Tom spend reading the book?
Choices:
15
14
13.19
16
Answer: C
Question: On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 3 attempts?
Choices:
5/8
7/8
9/16
15/16
Answer: B
Question: A can do a piece of work in 40 days; B can do the same in 20 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
60 days
86 days
40 days
17 days
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
12801
92801
12802
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.500 and a uniform after one year service. He served only for 9 months and received uniform and Rs.250, find the price of the uniform?
Choices:
s.85
s.90
s.500
s.120
Answer: C
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 100 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
320
3,000
3,200
28,800
Answer: B
Question: P and Q started a business investing Rs. 25,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
5:4
4:3
6:5
17:4
Answer: A
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 1.5x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
35.75
37
38
39
Answer: A
Question: Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?
Choices:
1 : 5
1 : 7
1 : 3
1 : 1
Answer: A
Question: A train 300 m long can cross an electric pole in 30 sec and then find the speed of the train?
Choices:
54 Kmph
72 Kmph
36 Kmph
91 Kmph
Answer: C
Question: Find the quotient when total no. Of divisors of 16! is divided by right most non-zero digit of 15!
Choices:
672
692
745
845
Answer: A
Question: The product of the digits of the four-digit number R is 36. No two digits of are identical. How many different numbers are possible values of R ?
Choices:
12
24
36
48
Answer: B
Question: A deer takes 3 leaps for every 5 leaps of a fox. If one leap of the deer is equal to 3 leaps of the fox, the ratio of the speed of the deer to that of the fox is :
Choices:
9:5
8:7
9:7
None of these
Answer: A
Question: A fill pipe can fill 1/2 of cistern in 35 minutes. In how many minutes, it can fill 1/2 of the cistern?
Choices:
25 min
30 min
35 min
40 min
Answer: C
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.645 in all. Find the share of B?
Choices:
134
218
140
145
Answer: A
Question: Kelly invested Rs. 1850 at 82 to obtain an income of Rs. 172, calculate the dividend from his stock.
Choices:
7.6
6.6
3.6
5.6
Answer: A
Question: If the simple interest on a sum of money for 6 years at 12% per annum is Rs. 700, what is the compound interest on the same sum at the rate and for the same time?
Choices:
945.77
946.77
246.77
926.77
Answer: B
Question: What is the angle between the two hands at 8.20 O'clock?
Choices:
120 degree
130 degree
250 degree
320 degree
Answer: B
Question: The fourth proportional to 12, 14 and 12 is?
Choices:
14
77
88
99
Answer: A
Question: The speed of a boat in still water is 24 kmph. What is the speed of the stream if the boat can cover 64 km downstream or 32 km upstream in the same time?
Choices:
8 kmph
7 kmph
5 kmph
4 kmph
Answer: A
Question: What is the 10th term in this sequence?
3,5,8,15,25,40,67,104,171
Choices:
278
279
377
277
Answer: D
Question: If -1 < a < 0 < b < 1, which of the following must be less than 0?
I.	a/b
II.	b/a
III.	ab
Choices:
II only
III only
I,II and III
None of the above
Answer: C
Question: A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
225 meter
186 meter
288 meter
265 meter
Answer: A
Question: Today is Thursday. The day after 50 days will be?
Choices:
Tuesday
Saturday
Sunday
Friday
Answer: D
Question: Two articles were sold at Rs. 480 each. On one, he gains 20% and on the other, he loses 12%. How much does he gain or lose in the whole transaction?
Choices:
1.54%
2.54%
3.54%
4.54%
Answer: A
Question: In how many different ways can the letters of the word ‘HOPE’ be arranged ?
Choices:
720
120
100
24
Answer: D
Question: Three pipes A, B and C can fill a tank in 7 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 9 hours. How many hours will take C alone to fill the tank?
Choices:
47/4
56/3
63/4
70/8
Answer: C
Question: In how many ways can a group of 15 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 5 people?
Choices:
15C5 * 9! *4!
15C4 * 9! *3!
15C2 * 10! *3!
16C5 * 10! *4!
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time will there be 243 million bacteria in the dish?
Choices:
6: 00 p.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: A
Question: An urn contains g green marbles and b blue marbles. If 1 green marbles and 5 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn?
Choices:
(b+5)/(g+3)
(b+5)/(b+g+8)
(b+5)/(b+g+6)
b/(b+g+5)
Answer: C
Question: If 60! × 60!/60^n is an integer, what is the largest possible value of n?
Choices:
7
14
28
32
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
10
12
15
19
Answer: D
Question: When 24 is divided by the positive integer c, the remainder is 4. Which of the following statements about c must be true?
I. c is even
II. c is a multiple of 5
III. c is a factor of 20
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: C
Question: A starts at 11:00AM and travels at a speed of 4km/hr. B starts at 1:00PM and travels at 1km/hr for the first 1hr and 2km/hr for the next hr and so on. At what time they will meet each other ?
Choices:
9:48pm
9:58pm
9:28pm
9:18pm
Answer: A
Question: Replace the ? with an approximate value in the following equation? 95.921 + 35.421 × 5.2 + ? = 705.621
Choices:
783.9
793.9
973.9
733.9
Answer: B
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on?
Choices:
2.
5.
6.
7.
Answer: A
Question: Which of the following has most number of divisors?
Choices:
101
176
182
186
Answer: B
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Choices:
8
7
6
5
Answer: A
Question: When the positive integer e is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer f is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of e-f?
Choices:
24
35
16
30
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 50%?
Choices:
s.480
s.320
s.128
s.419
Answer: B
Question: Two persons A and B start moving at each other from point P and Q respectively which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?
Choices:
400 Km
800 Km
1400 Km
2400 Km
Answer: A
Question: An inspector rejects 10% of the meters as defective. How many will he examine to reject 20?
Choices:
B)120
C)250
D)200
E)160
Answer: C
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 10%. What is the selling price of the cycle?
Choices:
Rs.1160
Rs.1190
Rs.1202
NONE
Answer: D
Question: If 144/x is an integer and 180/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Choices:
I and II only
II and III only
III only
I only
Answer: C
Question: Two bottles A and B contain diluted ammonium nitric acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture Should be taken from each bottle in order to prepare 5 litres of diluted sulphuric acid containing equal amount of acid and water?
Choices:
3, 2
2, 3
4, 1
1,5
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 5-percent solution?
Choices:
22.5
27
16 2/3
15
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?
Choices:
2677
2987
8925
17711
Answer: C
Question: The value of x + (xx) when x = 3 is:
Choices:
B)12
C)18
D)64
E)10
Answer: A
Question: A cycle is bought for Rs.850 and sold for Rs.1080, find the gain percent?
Choices:
27
99
88
11
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 66 more for Rs.40, what is reduced price per dozen?
Choices:
2.91
4.91
3.91
5.91
Answer: A
Question: A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number Q of tickets sold by the male members of the association
Choices:
56
58
62
66
Answer: B
Question: 1370 , 1320 , 1070 , -180 ?
Choices:
-6430
-6630
-6730
-6830
Answer: A
Question: If Susan takes 11 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Choices:
660x/y
60xy/11
xy/660
11x/(60y)
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Choices:
200 meter
250 meter
190 meter
180 meter
Answer: A
Question: If t, u, v, w, x, y, and z are seven different prime numbers, which of the following is the smallest possible value of t + u + v + w + x + y + z?
Choices:
52
54
56
58
Answer: D
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5%
2%
95%
1%
Answer: A
Question: Ratio of two numbers x and y is 2:5. If x is increased by 50% and y is increased by 8 then the new ratio becomes 3:10. what is the ratio 3y:(x+6)
Choices:
15:8
2:5
5:2
13:6
Answer: A
Question: A boy runs 200 metres in 72 seconds. What is his speed ?
Choices:
10 km/hr
20 km/hr
12 km/hr
24 km/hr
Answer: A
Question: Operation#is defined as adding a randomly selected two digit multiple of 10 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
Choices:
0%
20%
30%
40%
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 100 metres?
Choices:
20 seconds
14 seconds
12 seconds
15 seconds
Answer: A
Question: How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/4!?
Choices:
1
5
6
9
Answer: A
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
77
16
10
88
Answer: C
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Choices:
71 years
51 years
91 years
11 years
Answer: B
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Choices:
5/12
5/19
5/12
5/11
Answer: A
Question: Find the odd man out
4,9,16,25,36,42,49
Choices:
9
16
42
49
Answer: C
Question: If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is
Choices:
18.33
18
18.3
None of these
Answer: A
Question: A hostel had provisions for 250 men for 28 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
35
50
60
65
Answer: A
Question: In a certain province in Japan there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
105
330
14!
15!
Answer: A
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3
833 1/9
833 1/2
833 1/1
Answer: A
Question: The ratio of the volumes of two cubes is 6859 : 1331. What is the ratio of their total surface areas?
Choices:
12:7
1:15
21:17
13:13
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
157 cm2
276 cm2
672 cm2
Answer: A
Question: How much is 90% of 40 is greater than 4/5 of 25?
Choices:
776
66
16
99
Answer: C
Question: (?) + 3699 + 1985 - 2047 = 31111
Choices:
27424
27474
27784
27468
Answer: B
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Choices:
20
40
73
64
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
Choices:
704 m
898 m
556 m
465 m
Answer: A
Question: If f(x)=x^2 and x is a positive integer, which of the following will not be the value of f(f(x))?
Choices:
16
81
256
144
Answer: D
Question: what is the unit digit in (7^95-3^58)?
Choices:
4
6
7
None of them
Answer: A
Question: You collect balls. Suppose you start out with 0. Neha gives you another 210 balls. How many balls do you have at the end?
Choices:
120
200
0
210
Answer: D
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12
15
20
25
Answer: A
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
7 : 16
5 : 14
5 : 32
None of these
Answer: D
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 40% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
 10%
 25%
 15%
 30%
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
26
20
87
24
Answer: B
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
4000
324
8% LOSS
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
40
25
15
10
Answer: B
Question: What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19 ?
Choices:
9 : 8
2 : 1
13 : 11
14 : 8
Answer: B
Question: A 90 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:
25
47
36
30
Answer: A
Question: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number X is
Choices:
X=75
X=175
X=680
690
Answer: A
Question: 1370 , X, 1070 , -180, -6430
Choices:
1320
6630
6730
6830
Answer: A
Question: Coins are to be put into 9 pockets so that each pocket contains at least one coin. At most 5 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
Choices:
13
16
19
28
Answer: C
Question: John is the owner of a company and for Thanksgiving he wants to give a Turkey to each employee to celebrate the holiday. Each turkey cost him $25. If he has 85 employees, how much would John need to spend?
Choices:
$2,125
$2,000
$1,580
$2,000.75
Answer: A
Question: In how many ways letters of the word DATA be arranged?
Choices:
18
12
6
2
Answer: B
Question: Two pipes a and b can fill a tank in 12 hours and 15 hours respectively.if both pipe open together in tank,then how much time it take to fill the tank?
Choices:
18
20/3
19/4
25/4
Answer: B
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Choices:
600 m
167 m
176 m
546 m
Answer: A
Question: Which of the following is equal to the value of 2^3 + 2^3 + 3^3 + 3^3 + 3^3 ?
Choices:
2^7 + 3^4
2^8 + 3^4
2^4 + 3^4
2^4 + 3^6
Answer: C
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
210 sec
220 sec
250 sec
Answer: A
Question: ‘A’ and ‘B’ started a business in partnership investing Rs 20000/- and Rs 15000/- respectively. After six months ‘C’ jointed them with Rs 20000/-. What will beB’s share in the total profit of Rs 25000/- earned at the end of two years from the starting of the business?
Choices:
7500
8500
9000
9500
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
189m
350m
216m
978m
Answer: B
Question: Anand and Deepak started a business investing Rs. 5,500 and Rs. 19,000 respectively. Out of a total profit of Rs. 20,800, Deepak's share is?
Choices:
Rs. 16130.6
Rs. 8400
Rs. 3400
Rs. 8440
Answer: A
Question: A man can row with a speed of 12 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
77
20
99
17
Answer: D
Question: A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?
Choices:
7 h 32 min.
7 h 12 min.
8 h 32 min.
5 h 32 min.
Answer: A
Question: A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?
Choices:
11
12
13
14
Answer: C
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
18 sec
19 sec
10 sec
17 sec
Answer: C
Question: If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.
Choices:
50%
59%
51%
55%
Answer: A
Question: The probability that a convenience store has no iced tea is 60%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability thatat least oneof the stores will not have a can of iced tea?
Choices:
1/4
1/2
3/4
7/9
Answer: D
Question: If a and b are the roots of the equation x2 - 9x + 9 = 0, then the value of a2 + b2 is:
Choices:
63
17
6
5
Answer: A
Question: A businessman earns $26800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be
Source: CMAT Preparation
Choices:
$33500
$40000
$41000
$42300
Answer: B
Question: An insect leaps 72 centimeters in 1.5 seconds. What is its speed?
Choices:
10.8 centimeters per second
1.08 meters per second
4.8 centimeters per second
0.48 meters per second
Answer: D
Question: A room contains 200 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
05
10
15
20
Answer: B
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 40% are drinking mixed drinks, and 15% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
Choices:
1/2
10/17
7/24
7/10
Answer: A
Question: Which of these following integers is the square of an integer?
Choices:
20571304329
20467304228
20453304487
20814304592
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:
33 years
14 years
18 years
9 years
Answer: B
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 50 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choices:
20,000
1,100
3,000
30,000
Answer: A
Question: An amount of Rs.10,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Choices:
2500
2697
5000
6971
Answer: A
Question: What is the speed of the stream if a canoe rows upstream at 4km/hr and downstream at 12km/hr
Choices:
4 kmph
3 kmph
2 kmph
1.9 kmph
Answer: A
Question: A cylinder is inserted in a sphere d/h = 2/3. Find the surface area of the cylinder ?
Choices:
24.12
25.12
26.12
27.12
Answer: B
Question: Jerry and Beth each drove from Smallville to Crown City by different routes. Jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Jerry to complete the trip. How many miles per hour was Beth's average speed on this trip?
Choices:
30
48
54
75
Answer: A
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly five elements each?
Choices:
126
130
140
144
Answer: A
Question: m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 15) both lie on the line defined by the equation x = (y/5) - (2/5), what is the value of p?
Choices:
2
3
4
5
Answer: B
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 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test?
Choices:
243
246
264
224
Answer: C
Question: A scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400feet below the sea level..how long will he take to reach the ship?
Choices:
200 minutes
220 minutes
210 minutes
77 minutes
Answer: A
Question: A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $320,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
Choices:
$1,333
$3,466
$13,333
$20,796
Answer: A
Question: Find the next number in this Sequence and solve this thinking riddle.
6 14 36 98 ?
Choices:
200
398
276
490
Answer: C
Question: A and B can complete a work in 15days and 10day. They started doing the work together but after 2days B had to leave and A alone completed the remaining work. The whole work was completed in?
Choices:
12days
15days
8days
16days
Answer: A
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth?
Choices:
24
22
20
18
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
23.59
23.55
23.53
23.57
Answer: D
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
Rs.256.08
Rs.256.02
Rs.256.34
Rs.256.25
Answer: D
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
26 hours
Answer: C
Question: A lamp is put on one corner of a square plot of side 50m. It's light reaches 21m. Find the area of that plot that is lit by that lamp?
Choices:
312.5
346.5
392.5
424
Answer: B
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 3 professor, how many ways can this committee be formed?
Choices:
36
72
80
100
Answer: A
Question: A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/5 for each additional day. How much does a vacation of b days cost, where b > 1.
Choices:
(ab+8a)/5
(ab+4a)/5
(ab+4a)/3
(ab+a)/5
Answer: B
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
8.4
10
8
Answer: A
Question: In one can of mixed nuts, 50% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
46 2/3%
25%
33 1/3%
35%
Answer: A
Question: A set of 12 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Choices:
37
40
43
50
Answer: B
Question: The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225
245
238
236
Answer: A
Question: Evaluate 24.39 + 562.093 + 35.96
Choices:
622.443
623.434
632.423
632.443
Answer: A
Question: In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win.
Choices:
1/180
11/24
10/15
57/120
Answer: B
Question: Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:
Choices:
5, 1
6, 3
8, 7
None of these
Answer: B
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1300. What is the gain or loss in percentage?
Choices:
21%
25%
23%
None of these
Answer: C
Question: A password of a computer used six digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/64
1/8
2/5
1/2
Answer: A
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
85 kmph
34 kmph
23 kmph
14 kmph
Answer: A
Question: Y and Z are in a relay race. Y runs the first leg of the course in 58 seconds. Z runs the second leg of the course in 26 seconds. What was the average time they took to run a leg of the course?
Choices:
40
41
42
43
Answer: C
Question: Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices:
19
20
21
12
Answer: C
Question: A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
Choices:
12 1/3
38
36
12 3/4
Answer: B
Question: An outlet pipe can empty 2/3 rd of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
1/3
4/2
4/8
4/1
Answer: A
Question: Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 1512x is the cube of a positive integer?
Choices:
14
28
35
49
Answer: D
Question: Which one of the given numbers is divisible by 11?
Choices:
8423718
8432718
4831728
4852718
Answer: C
Question: How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
1205
992
837
923
Answer: A
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Choices:
3/11
4/13
4/11
5/12
Answer: B
Question: On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Choices:
15
120
224
240
Answer: B
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is?
Choices:
39yr
45yr
32yr
50yr
Answer: A
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
276
288
212
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 363 sq m, then what is the breadth of the rectangular plot?
Choices:
11
18
101
1322
Answer: A
Question: A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?
Choices:
$97.25
$48.75
$97.50
$95
Answer: C
Question: A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A.
Choices:
$1300
$1400
$1500
$1600
Answer: B
Question: How many halves are there in nine-fourth?
Choices:
4.5
3.2
7
3
Answer: A
Question: The sale price sarees listed for Rs.278 after successive discount is 18% and 19% is?
Choices:
276
342
265
198
Answer: D
Question: The unit digit in the product 784*618*917*463 is?
Choices:
2
4
5
6
Answer: A
Question: A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 5 or 12?
Choices:
2/5
7/15
4/15
11/30
Answer: C
Question: 21 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Choices:
21
44
45
46
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
492
877
278
178
Answer: A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
64.8%
70%
72%
Answer: D
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 10.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: C
Question: Joe bought a concert ticket for a 40% off the original price. If the ticket cost him $46.35, what is the original selling price of the ticket?
Choices:
$77.25
$64.89
$74.16
None of these.
Answer: A
Question: How many odd integers between 200 and 600 are there such that their tens digit is even?
Choices:
25
100
150
200
Answer: B
Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
8 1/3
8 1/2
8 1/9
8 1/4
Answer: A
Question: If the area of a circle is 49pi square feet, find its circumference.
Choices:
14 pi feet
38 pi feet
48 pi feet
58 pi feet
Answer: A
Question: In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by how much ?
Choices:
10
15
30
60
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
278 m
876 m
200 m
267 m
Answer: C
Question: J is 25% less than P and 20% less than T. T is q% less than P. What is the value of q?
Choices:
90
6.75
6.25
2
Answer: C
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8587 for a computer table, then what was the cost price of the computer table?
Choices:
2977
2871
6925
2981
Answer: C
Question: let S is a set of all natural numbers less than 120 such that HCF of any element in S and 120 is 1. Find the sum of all elements in S?
Choices:
1584
5640
7240
6780
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
Rs.7800
Rs.8100
Rs.8112
Rs.9000
Answer: C
Question: Calculate 12351 ÷ ? = 69
Choices:
179
129
173
156
Answer: A
Question: find remainder when (10^3+9^3)^1000 divided by 12^3
Choices:
1
2
3
4
Answer: A
Question: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
21 sec
25 sec
27 sec
29 sec
Answer: C
Question: Evaluate: 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025
Choices:
7336.03775
6918.59775
6198.59775
6891.59775
Answer: A
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1298
1128
1237
1200
Answer: D
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
18
20
24
30
Answer: D
Question: When a Laptop is sold for Rs. 49,000, the owner loses 30%. At what price must that Laptop be sold in order to gain 30%?
Choices:
88000
89000
90000
91000
Answer: D
Question: Find the cost of fencing around a circular field of diameter 16 m at the rate of Rs.3 a meter?
Choices:
150.84
150.45
160.99
180.4
Answer: A
Question: The difference between simple interest and compound interest on Rs.1400 for one year at 20% per annum reckoned half-yearly is:
Choices:
$852.36
$875.5
$989.9
$875.8
Answer: C
Question: Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?
Choices:
30%
50%
40%
60%
Answer: B
Question: In Town P, 60 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town P are females?
Choices:
20%
30%
35%
40%
Answer: A
Question: Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
12
16
24
Answer: B
Question: If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 750, how many terms that are smaller than 625 are there in the sequence?
Choices:
7
8
12
3
Answer: D
Question: A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
Choices:
2 hr 30 min
4 hr
1 hr 15 min
None of these
Answer: A
Question: To a sugar solution of 3 litres containing 40% sugar, one litre of water is added. The percentage of sugar in the new solution is ?
Choices:
15%
26%
40%
30%
Answer: D
Question: If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/11
II. 1/10
III. 1/10
Choices:
II only
III only
II and III only
I, II, and III
Answer: A
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 4b < bc
Choices:
I only
III only
II and III
I, II, and III
Answer: A
Question: If the product of the integers from 1 to n is divisible by 210, what is the least possible value of n?
Choices:
7
21
28
35
Answer: A
Question: The probability that A speaks truth is 5/9 and that of B speaking truth is 7/11. What is the probability that they agree in stating the same fact?
Choices:
12/85
59/99
33/39
None of these
Answer: B
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km / hr. In the return trip, he covers the same distance at an average speed of 20 km / hr. The average speed of the car over the entire distance of 400 km / hr.
Choices:
28.56 km/hr
26.67 km/hr
30 km/hr
None
Answer: B
Question: If the selling price of 8 articles is same as the cost price of 10 articles. Find the gain or loss percentage?
Choices:
25%
35%
65%
55%
Answer: A
Question: Find the value of x when the average of 3x,(5x+6),(7x-4) is 51?
Choices:
10
15
12
20
Answer: A
Question: The average speed of a train running at a speed of 30 km/hr during the first 100 kilometres, at 40 km/hr during the second 100 kilometres and at 50 km/hr during the last 100 kilometres is nearly?
Choices:
38.3 km/hr
40.0 km/hr
39.2 km/hr
None of these
Answer: A
Question: The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father's present age is :
Choices:
46 years
20 years
45 years
30 years
Answer: C
Question: y w v t r p n
Next letter in the series
Choices:
L
N
O
P
Answer: A
Question: On a certain number line, conditions are x<Y<z<U<v. xyzuv>0 Which of the following must be true?
I xy>0
II zu>0
III uv>0
Choices:
II only
I and II
III only
II and III only
Answer: B
Question: (0.96)(power 3) - (0.1)(power 3)/ (0.96)(power 2) + 0.096 + (0.1)(power 2) is:
Choices:
0.086
0.86
0.068
None of them
Answer: B
Question: Peta has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55
How many of each type of coin does she have?
Choices:
5q & 15d
3q & 18d
6q & 16d
2q & 19d
Answer: B
Question: Two dice are thrown together. What is the probability that the sum of the number on the two faces is divided by 4 or 6
Choices:
7/19
7/9
7/17
7/18
Answer: D
Question: The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Choices:
(mb + nc)/ (m - n) years
(mb + nc)/ (m + n) years
(mb – nc)/ (m - n) years
(mn – mc)/ (m - n) years
Answer: B
Question: The average mark of the students of a class in a particular exam is 65. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choices:
14
35
45
55
Answer: A
Question: The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If q is any prime, number then f(q)=
Choices:
q-1
(q+1)/2
(q-1)/2
2
Answer: A
Question: The average age of father and his two sons is 27 years. The difference in age between the two sons is 4 years and five years ago the average age of the two sons was 12 years. What is the present age of the father?
Choices:
47years
64years
27years
37years
Answer: A
Question: A table is bought for Rs.940/- and sold at Rs.1040/- find the loss percentage
Choices:
10% Gain
20% Loss
20% Gain
30% Gain
Answer: A
Question: A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 370 items for $150 each, what will her monthly salary be?
Choices:
$4,600
$2,100
$2,500
$2,800
Answer: A
Question: In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least one of each type of coin must be included?
Choices:
42
60
65
66
Answer: B
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is?
Choices:
279
280
285
262
Answer: C
Question: In aquarium A there are 2 yellow fish and 2 green ones, in aquarium B there are 3 yellow fish and 4 green ones. An aquarium is chosen at random, what is the probability of picking up a green fish out of aquarium A?
Choices:
3/5.
1/4.
1/3.
2/3.
Answer: B
Question: What is the smallest no. which must be added to 3245613 so as to obtain a sum which is divisible by 11?
Choices:
2
4
9
3
Answer: D
Question: 4,7,15,31,35,19,11,?
Choices:
6
7
8
9
Answer: C
Question: What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?
Choices:
Rs. 3440
Rs. 3450
Rs. 3460
Rs. 3490
Answer: A
Question: TOM traveled the entire 80 miles trip. If he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
Choices:
50 mph
40 mph
60 mph
70 mph
Answer: B
Question: Find the odd man out.10, 25, 45, 50, 66, 70, 80
Choices:
50
66
70
80
Answer: B
Question: The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
Choices:
Rs.672
Rs.546
Rs.876
None of these
Answer: C
Question: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Choices:
76
100
113
112
Answer: C
Question: Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1−Tn=10Tn+1−Tn=10, then the value of n is
Choices:
5
7
8
10
Answer: A
Question: A firm has 4 senior partners and 6 junior partners. How many different groups W of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
100
120
288
600
Answer: A
Question: If the value of a piece of land decreases by 10% while the new tax rate on the land represent 110% of the original tax rate, what is the effect on the taxes?
Choices:
b- taxes increase by 1%
c- there is no change in taxes
d- taxes decrease by 1%
c- taxes decrease by 10%
Answer: C
Question: If John takes 15 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
Choices:
15z/x
900x/z
15x/z
900z/x
Answer: D
Question: The sum of all the integers k such that –21 < k < 24 is
Choices:
-2
-25
-39
-51
Answer: C
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 4 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Choices:
3/7
27/125
271/340
9/125
Answer: C
Question: A boat can move upstream at 25 kmph and downstream at 30 kmph, then the speed of the current is?
Choices:
7 kmph
8 kmph
9 kmph
2.5 kmph
Answer: D
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choices:
Rs.6003
Rs.1288
Rs.6108
Rs.6011
Answer: A
Question: If 2^2n + 2^2n + 2^2n + 2^2n = 4^22, then n =
Choices:
6
12
23
21
Answer: D
Question: If the selling price of 100 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Choices:
40%
60%
65%
50%
Answer: B
Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 9 students left the lab, how many students were in the computer lab at 15:44 ?
Choices:
14
25
27
30
Answer: B
Question: A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:
Choices:
87%
15%
66%
88%
Answer: B
Question: w,x,y,z is an arithmetic sequence, which of the following options also qualifies as an arithmetiv sequence?
I. w-6,x-6,y-6,z-6
II. 5w,2x,3y,5z
III. 5w,5x,5y,5z
Choices:
II and III
I and III
I and II
II only
Answer: A
Question: 3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Choices:
55%
57%
60%
67.2%
Answer: D
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 6 ounces of corn syrup, how many ounces of water does it contain?
Choices:
50
55
60
90
Answer: D
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 9/3%
3 5/3%
3 3/3%
Answer: A
Question: An empty fuel tank with a capacity of 208 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
82
80
50
Answer: B
Question: What is the greatest value of m such that 4^m is a factor of 27! ?
Choices:
7
6
8
4
Answer: C
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
22 ½ days
23 ½ days
12 ½ days
none of these
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
2778
299
400
287
Answer: C
Question: Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?
Choices:
4/5
4/6
4/1
4/4
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
42, 38
43, 39
50, 43
Answer: A