antoine-444/aqua_rat_dataset huggingface dataset:
Question: There are 2 sections A and B in a class, consisting of 16 and 14 students respectively. If the average weight of section A is 20kg and that of section B is 25kg, Find the average of the whole class?
Choices:
33.5kg
42.45kg
55.12kg
29.78kg
Answer: A
Question: A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19%
alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is
Choices:
34
32
23
38
Answer: C
Question: Two trains of length 300 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
80/9 sec
80/5 sec
15 sec
Answer: D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.85
2.84
2.82
Answer: A
Question: By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
2%
8%
3%
4%
Answer: B
Question: There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?
Choices:
7200
6300
4500
8000
Answer: D
Question: A company has issued 500 preferred shares and 400 common shares both of par value Rs. 100 each. The dividend on a preferred share and a common share is 8% and 12%, respectively. The company had a total profit of 150000 rupees out of which some amount was kept in reverse fund and the remaining disturbed as dividend. Find the amount kept in reserve fund.
Choices:
141500
141300
141250
141200
Answer: D
Question: A waitress's income consists of her salary and tips.During one week ,her tips were 11/4 of her salary.What fraction of her income for the week came from tips?
Choices:
1/6
1/3
4/9
11/15
Answer: D
Question: If the sum of one-third and one-half of a number exceeds two-third of a number by 5, the number is
Choices:
30
36
40
50
Answer: A
Question: The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Choices:
10.30 a.m
11 a.m
11.30 a.m
None of these
Answer: B
Question: A man gets a simple interest of Rs.800 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.250
Rs.5012.50
Rs.5062.50
410
Answer: D
Question: How should we mix two rice packets to get one 1kg packet priced at Rs 8 when the prices of 1 kg packets of the two types are Rs 7.1 and Rs 9.2.
Choices:
4:3
4:9
4:2
4:1
Answer: A
Question: If DON is coded as 18 and MASS is coded as 29 Then KING is coded as
Choices:
20
19
17
None
Answer: C
Question: A reduction of 30% in the price of oil enables a house wife to obtain 9kgs more for Rs.900, what is the reduced price for kg?
Choices:
27
40
30
20
Answer: C
Question: A company bought for its 7 offices 2 computers of brand N and 4 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Choices:
105
256
292
312
Answer: A
Question: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?
Choices:
42
120
600
200
Answer: D
Question: At a party, there were five times as many girls as boys and three times as many adults as children. Which of the following could NOT be the number of people at the party?
Choices:
258
216
120
72
Answer: A
Question: The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 10 kg of rice previously?
Choices:
12,5 kg
25 kg
30 kg
None
Answer: A
Question: If a population of women in a town is 80% of men . What is the population of men as a % of population of women ?
Choices:
B)100%
C)50%
D)65%
E)125%
Answer: D
Question: What proximate value should come in place of the question mark (?) in the following question?
8.595 Ã— 1084 + 2568.34 â€“ 1708.34 = ?
Choices:
12,000
10,000
10148
12312
Answer: C
Question: A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes.
Choices:
10%
10.25%
9%
None of these
Answer: B
Question: What percent of 120 are 90?
Choices:
66
75
44
31
Answer: B
Question: for doing any work A take 50% more time than B.if both together finish the work in 18 days,then B alone in how much days finish the work?
Choices:
30 days
40 days
45 days
50 days
Answer: A
Question: A shopkeeper has 100 kg of apples. He sells 50% of these at 25% profit and remaining 50% at 30% profit. Find his % profit on total.
Choices:
27.5%
31.5%
35.9%
29.5%
Answer: A
Question: Tough and Tricky questions: Word Problems.
It takes Sarah 14 minutes to do one oil change, and it takes Alice 10 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
Choices:
10:42 a.m.
12:00 a.m.
1:00 p.m.
2:00 p.m.
Answer: A
Question: John’s salary is reduced by 40% and then reduced salary is increased by 40%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
14%
16%
18%
20%
Answer: B
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3: 0
4: 1
3: 1
2: 2
Answer: C
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
Choices:
67.2 km /hr
69.0 km /hr
69.2 km /hr
69.8 km /hr
Answer: A
Question: What is the least possible product of 4 different integers, each of which has a value between –1 and 10, inclusive?
Choices:
–3600
–720
–600
–120
Answer: B
Question: The average weight of 16 kids in a class is 50.25 kg and that of the remaining 8 kids is 45.15 kg. Find the average weights of all the kids in the class.
Choices:
A)48.55
C)51
D)61
E)62
Answer: A
Question: At what time between 5.30 and 6 will the hands of a clock be at right angles?
Choices:
43	7/13	min. past 5.
42	7/11	min. past 5.
42	7/18	min. past 5.
43	7/11	min. past 5.
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
17%
44%
46%
21%
Answer: D
Question: How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Choices:
134
11
14
15
Answer: A
Question: Evaluate: 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025
Choices:
6981.59775
7224.92775
6198.59775
6891.59775
Answer: B
Question: A water tank is three-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Choices:
9 min.to empty
5 min.to empty
4 min.to empty
7 min.to empty
Answer: A
Question: Look at this series: 1,4,9,16,... What number should come next?
Choices:
27
30
25
24
Answer: C
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 weavers in 10 days?
Choices:
15
20
25
30
Answer: C
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 660 m?
Choices:
99 sec
89 sec
90 sec
85 sec
Answer: C
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Choices:
5 cm
2 cm
7 cm
9 cm
Answer: D
Question: The price of 5 kilograms of premium fertilizer is the same as the price of 14 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Choices:
5/6*y
6/5*y
5y
14y/9
Answer: D
Question: A man can row with a speed of 24 kmph in still water. If the stream flows at 6 kmph, then the speed in downstream is?
Choices:
23
30
28
12
Answer: B
Question: The average weight of A, B and C is 43 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
31 kg
32 kg
36 kg
37 kg
Answer: D
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
Rs. 2(2/9)
Rs. 3(2/9)
Rs. 4
Rs. 4(1/9)
Answer: A
Question: A basket contains 5 blue, 5 red and 5 yellow marbles. If 5 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Choices:
3/25
25/91
9/28
11/24
Answer: B
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:
82
85
87
88
Answer: B
Question: Two sides of a certain triangle have lengths 3 and 4 respectively, which of the following could be the length of the third side of the triangle?
I. 0
II. 10
III. 2
Choices:
II only
III only
II and III only
I, II and III
Answer: B
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x + 10, y + 10, z + 10 ?
Choices:
d
15d
d + 5
d + 15
Answer: A
Question: P and Q are the only two applicants qualified for a short-term research project that pays 540 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Choices:
$9
$18
$21
$27
Answer: A
Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [17]*[4] = ?
Choices:
[44]
[105]
[88]
[90]
Answer: B
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
269
266
298
225
Answer: D
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage Z.
Choices:
17.4%
17.9%
18.5%
19.1%
Answer: A
Question: What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x
Choices:
68
70
72
74
Answer: B
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
Choices:
95 matches
99 matches
85 matches
87 matches
Answer: B
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy?
Choices:
38
40
42
44
Answer: A
Question: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Choices:
5
15
20
30
Answer: A
Question: The average of first 18 natural numbers is?
Choices:
9.5
9.1
9.8
5.2
Answer: A
Question: What is the area of a square field whose sides have a length of 13 meters?
Choices:
169 sq m
128 sq m
267 sq m
231 sq m
Answer: A
Question: Imagine John has 2 blue balls, 3 green balls, 1 black ball and 4 red balls. How many ways can he arrange the balls lining them up?
Choices:
10!/2! 1! 3! 1!
10!/4! 4!
9!/4! 3! 2!
10!/4! 3! 2!
Answer: D
Question: Of the total amount that Rose spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Rose paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
4.4%
4.6%
5.2%
6.0%
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is subtracted from both of the numbers then the ratio becomes 2:4 then find the biggest number?
Choices:
22
27
28
30
Answer: D
Question: The area of a parallelogram is 242sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
11
2
Answer: C
Question: (1+0.0001)/(0.04+10000)
The value of the expression above is closet to which of the following?
Choices:
0.0001
0.1
1
10
Answer: A
Question: Mr. T has a wrong weighing pan. One arm is lengthier thanother.1 kilogram on left balances 8 melons on right.1 kilogram on rightbalances 2 melons on left. If all melons are equal in weight, what is theweight of a single melon
Choices:
200grm
300grm
400grm
500grm
Answer: A
Question: Let d(n) represent the sum of the digits of the integer n. For example,
d(2016) = 2 + 0 + 1 + 6 = 9:
For how many positive 3-digit integers k is it true that d(k) > d(k + 1)?
Choices:
90
120
140
40
Answer: A
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 244 passengers. Find the no of passengers in the beginning?
Choices:
180
276
144
168
Answer: B
Question: If two sides of a triangle have lengths 3 and 7, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
Choices:
I only
II only
II and III only
I, II, and III
Answer: C
Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 512,000 locusts?
Choices:
15
13
14
12
Answer: C
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Choices:
31
17
12
91
Answer: A
Question: The sides of a square region, measured to the nearest centimeter, are 5 centimeters long. The least possible value of the actual area of the square region is
Choices:
20.25 sq cm
30.25 sq cm
36.25 sq cm
40.25 sq cm
Answer: A
Question: A bag is filled with pennies and nickels in the ratio of 4 to 3. There are 45 nickles in the bag, how many coins are there in that bag?
Choices:
105
65
70
80
Answer: A
Question: A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Choices:
2/115
1/108
1/119
2/117
Answer: B
Question: If 20,030 + x is a multiple of 3, which of the following could be the value of x?
Choices:
2
3
4
6
Answer: C
Question: Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 4 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Choices:
6
7
7 1/5
8 4/7
Answer: A
Question: Two trains travelling in the same direction at 70 and 35 kmph completely pass off another in 144 sec. If the length of the first train is 185 m, what is the length of the second train?
Choices:
1400 m
1215 m
1512 m
185 m
Answer: B
Question: Sixteen years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
B)34
C)45
D)25
E)56
Answer: D
Question: If you throw two dice at a same time.
Can you find the probability of getting sum as 10 of the two numbers shown ?
Choices:
2/14
1/12
1/19
1/17
Answer: B
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
6 hrs 28 min
6 hrs 21 min
2 hrs 21 min
Answer: A
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 40% of the previous term. What is the value range of the five numbers?
Choices:
9,744
9,975
9,984
10,736
Answer: A
Question: Josh spends a total of $6.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
Choices:
100
121
109
140
Answer: B
Question: hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Choices:
900
1200
1800
2100
Answer: B
Question: When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?
Choices:
4/7
5/6
6/7
None of these
Answer: D
Question: What is the probability that two siblings, ages 6 and 8, will have the same birthday, assuming neither was born in a leap year?
Choices:
1/365
1/48
1/14
1/2
Answer: A
Question: When 40 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
Choices:
44
96
98
95
Answer: B
Question: The reflex angle between the hands of a clock at 10:25 is?
Choices:
192 1⁄2°
195°
197 1⁄2°
None of these
Answer: C
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 45, what is the greatest possible value of B x A?
Choices:
5
10
15
20
Answer: D
Question: 2,600 has how many positive divisors?
Choices:
12
18
24
48
Answer: D
Question: if x^2+4y^2=4xy,then x:y=?
Choices:
2:1
1:1
1:4
none of these
Answer: A
Question: An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be 2/3 of an inch ?
Choices:
12
22
15
20
Answer: A
Question: Two persons start running simultaneously around a circular track of length 250 m from the same point at speeds of 20 kmph and 40 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Choices:
15
18
32
38
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 625 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
99
100
72
12
Answer: B
Question: Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 5 members and the design team has 4 members, how manyintegratedteam formations are possible?
Choices:
60
76
90
112
Answer: A
Question: If Jan 1, 2006 was a Saturday, What was the day of the week Jan 1, 2010?
Choices:
Thursday
Tuesday
Saturday
None of these
Answer: A
Question: A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
Choices:
4%
5%
6%
7%
Answer: C
Question: A dealer sells his goods at cost price 950gm weight for 1kg his gain percentage is
Choices:
5 4/95% Loss
5 5/19% Loss
5 5/19% Gain
None of these
Answer: C
Question: In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?
Choices:
38
48
47
37
Answer: D
Question: The sum of ages of 5 girls born at the intervals of 3 years each is 50 years. What is the age of the youngest girl?
Choices:
4 years
6 years
8 years
9 years
Answer: A
Question: A group of workers had agreed on a very strange payment schedule. Each of
them would get $100 for every day that they had worked, but for every day they
did not work will have to return $25. After 30 days they realised they did not
earn any money. How many days the workers did not work?
Choices:
24
30
20
10
Answer: A
Question: How many multiples of 2 are less than 2400, and also multiples of 8?
Choices:
208
300
832
833
Answer: B
Question: What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
Choices:
Rs.64.22
Rs.64.12
Rs.64.10
Rs.64.16
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the starting word is W and 3rd word is O?
Choices:
B)4!
C)1!
D)5!
E)6!
Answer: C
Question: There are 9 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
6!*2!
2!*1!
5!*1!
Answer: B
Question: The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries.
Choices:
21:33:60
22:33:60
23:33:60
24:33:60
Answer: C
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
Choices:
3600
3619
3611
3612
Answer: A
Question: A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
Choices:
15
16
17
18
Answer: A
Question: If it takes a machine 2⁄5 minute to produce one item, how many items will it produce in 2 hours?
Choices:
4⁄3
80
120
300
Answer: D
Question: The number 150 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
18
15
14
13
Answer: A
Question: If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 ?
Choices:
0
1
2
3
Answer: B
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
6
8
3
7
Answer: C
Question: Alex deposited x dollars into a new account that earned 6 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.06+1.06^2)
w/(1.08^2+1.08^2)
Answer: C
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 400 bolts?
Choices:
72
96
144
180
Answer: B
Question: If T = 5/9 * (K - 32), and if T = 20, then what is the value of K?
Choices:
68
72
74
76
Answer: A
Question: If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/16, then the reciprocal of n must be
Choices:
Less than -4
Between -1/4 and 0
Between 0 and 1/4
Greater than 4
Answer: A
Question: A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Choices:
24
58
224
210
Answer: C
Question: Find the middle 1 when The sum of three consecutive even numbers is 36?
Choices:
12
14
16
18
Answer: A
Question: A machine, working at a constant rate, manufactures 40 pencils in 30 minutes. How many pencils does it make in 1 hr 30 min?
Choices:
120
110
115
121
Answer: A
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
277
378
480
287
Answer: C
Question: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
Choices:
8 hrs
9 hrs
36 hrs
None
Answer: C
Question: What number should replace the question mark?
105, 87, 70, 52, ?
Choices:
35
70
55
83
Answer: A
Question: If a van moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled?
Choices:
y-x km
(x-y)/2 km
y/x km
x/2 km
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour?
Choices:
20 min
9 min
10 min
11 min
Answer: A
Question: For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 960, what is the maximum possible sum of the length of x and the length of y?
Choices:
16
12
14
19
Answer: A
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 19 marks, what was the maximum marks he could have got?
Choices:
677
770
867
832
Answer: B
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
29
8
2
1
Answer: A
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes S of the competition are possible?
Choices:
20
54
84
120
Answer: C
Question: Tim and Élan are 180 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Choices:
135 miles.
145 miles.
120 miles.
165 miles.
Answer: C
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
77
48
99
21
Answer: B
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 seconds. What is the length of the fast train?
Choices:
44 (4/9)m
27 (7/9)m
29 m
28 m
Answer: A
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
Choices:
1/2,3
3,5
7,9
4,3
Answer: A
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Choices:
30
36
45
54
Answer: C
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
Choices:
1
61
21
None of these
Answer: B
Question: 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit
Choices:
100/7
100/2
100/6
100/3
Answer: A
Question: The average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 68 kg is replaced by a new man. What is the weight of the new man?
Choices:
93 kg
70 kg
75 kg
85 kg
Answer: A
Question: If (t-8) is a factor of t^2-kt-46, then k=
Choices:
12
2
6
14
Answer: D
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
Choices:
79:9
79.1
79.2
79.4
Answer: C
Question: If 6,15 and 24 are factors of T, which of the following is the largest number that must divide evenly into T?
Choices:
48
60
80
120
Answer: D
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 118 runs, thereby increasing his average by 6 runs. His new average is
Choices:
58 runs
48 runs
42 runs
46 runs
Answer: A
Question: When a certain number 'x' is multiplied bt 18, the product 'y' has all digits as 4s. what is the minimum number of digits 'x' can have?
Choices:
9
12
14
18
Answer: A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.2
1.7
1.5
1.3
Answer: C
Question: Find the largest 7 digit number which is exactly divisible by 88?
Choices:
9998907
9999944
9999954
9999968
Answer: D
Question: How many ways are there to award a gold, silver and bronze medal to 10 contending teams?
Choices:
10 × 9 × 8
10!/3!
360
300
Answer: A
Question: Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2000 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
Choices:
$5,600
$8,100
$18,000
$22,500
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
Choices:
150 m
195 m
300 m
None of these
Answer: B
Question: If E is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of E?
Choices:
12
14
16
18
Answer: B
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
Choices:
8400
7767
2998
2771
Answer: A
Question: A can do a work in 25days and B can do the same work in 20days. They work together for 5days and then A goes away. In how many days will B finish the work?
Choices:
11/20days
13/17days
7/15days
1/5days
Answer: A
Question: If 6 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
6 × 5 × 4 × 3 × 2 × 1
6 x 5
15
45
Answer: C
Question: What could be the range of a set consisting of odd multiples of 7?
Choices:
24
35
62
70
Answer: D
Question: Cara picked a number of pears, each of which she sold, canned, or poached. If she canned 40 percent more than she poached, and she poached 80 percent less than she sold. If there were a total of 111 pears, then how many pears did she sell?
Choices:
72
75
78
81
Answer: B
Question: A Harsco's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Harsco's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Harsco's to travel 850 kilometers?
Choices:
1 hour and 36 minutes.
2 hours and 24 minutes.
2 hours and 36 minutes.
5 hours.
Answer: A
Question: A multiple choice question has 5 options. Choosing the correct option earns the student 1 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expected score if he chooses randomly among the remaining options is.
Choices:
1/2
1/4
2/3
4/3
Answer: A
Question: The tax on a commodity is diminished by 32% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
Choices:
18%
15%
12%
24%
Answer: D
Question: The number of female students in a college in the previous year was 400. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
Choices:
600
900
1600
2000
Answer: C
Question: Bradley owns b video game cartridges. If Bradley’s total is one-fourth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
(17/4)b
(13/4)b
(19/12)b
(21/4)b
Answer: D
Question: If in coded language
2+6+7=24
8+2+8=73
3+4+4=40
Then
7+3+9=??
Choices:
30
31
32
33
Answer: C
Question: When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 204.04, what is value of J?
Choices:
120
400
260
380
Answer: B
Question: A cylinder with 6 meter radius and 12 meter height is filled to capacity with water. If the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height, how many smaller cylinders will be filled to capacity?
Choices:
13
4
16
18
Answer: A
Question: If a car went the first third of the distance at 80 kmh, the second third at 15 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
Choices:
30 kmh
42 kmh
44 kmh
50 kmh
Answer: A
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 6 members of the club traveled to both England and France, no 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:
71
67
73
79
Answer: B
Question: How many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
Choices:
32 sec
25 sec
24 sec
31 sec
Answer: A
Question: If a man buys 100 biscuits for $900 and sold them for $10 dollars determine his gain.
Choices:
$ 100
$ 80
$110
$ 115
Answer: A
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 2 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Choices:
9.5
10.5
11.5
12.5
Answer: B
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 6 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
30 : 2
15 : 2
20 : 2
25 : 2
Answer: A
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
7!*3!
8!*1!
8!*4!
Answer: A
Question: At a certain high school, the senior class is three times the size of the junior class. If 1/6 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
Choices:
3/16
1/2
5/16
2/3
Answer: A
Question: While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square—of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to 500.
From this I was able to deduce the bus number. Can you tell what was the other number.
Choices:
196
116
140
234
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
.
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 720
Answer: B
Question: A bag contains 6 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
12/55
3/11
1/4
7/16
Answer: A
Question: The ages of two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages, in years, are
Choices:
30, 10
35, 15
50, 30
None of these
Answer: A
Question: Three people candidates contested an election and they received 1136, 7636 and 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
45%
57%
58%
60%
Answer: B
Question: The Present worth of Rs. 1404 due in two equal half-yearly instalments at 8% per annum simple interest is :
Choices:
Rs. 1325
Rs. 1350
Rs. 1500
None
Answer: A
Question: If (10x + 2)/4 - (3x - 6)/18 = (2x + 4)/3,
Then what is the value of x?
Choices:
-3
10/3
3/10
-10/3
Answer: C
Question: The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour?
Choices:
61.2
3240
3,600
3,672
Answer: B
Question: What is the 9th term in this sequence?
2,4,6,13,22,35,60
Choices:
148
158
168
178
Answer: B
Question: a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 6500rs,what is the value of buzness?
Choices:
16000
15000
190000
13000
Answer: D
Question: One fourth of a solution that was 8% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
52%
40%
18%
8.5%
Answer: B
Question: 5 pumps, working 9 hours a day, can empty a tank in 3 days. How many hours a day should 6 pumps work in order to empty the tank in 1 day?
Choices:
22.5 hours
23 hours
23.5 hours
24 hours
Answer: A
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 6 rows or 4 rows or 8 rows, then no tree will be left. Find the least number of trees required
Choices:
24
28
76
21
Answer: A
Question: David has $1,500 at the beginning of his trip, after spending money, he still has exactly $500 less than he spent on the trip. How much money does John still have?
Choices:
$400
$500
$800
$1,200
Answer: B
Question: At a meeting, 4 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
6
12
14
20
Answer: A
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Choices:
Rs. 51000
Rs. 57000
Rs. 60000
Rs. 65000
Answer: B
Question: Of the diplomats attending a summit conference, 17 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
Choices:
96
108
120
150
Answer: D
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 4 is rolled?
Choices:
50/216
25/72
25/36
5/6
Answer: B
Question: 15 people entered a theater before Sujit. 7 people entered the theater between Sujit and Suraj and 20 people entered the theater after Suraj.
How many people are there in the theater?
Choices:
36
44
40
Cannot be determined.
Answer: D
Question: If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
Choices:
187
181
120
891
Answer: C
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 12 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/60
1/25
1/50
1/900
Answer: A
Question: A man swims downstream 28 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water?
Choices:
8.6
7.5
9.2
5.5
Answer: D
Question: In a river flowing at 2 km/hr, a boat travels 48 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Choices:
12 hours
14 hours
18 hours
None of these
Answer: C
Question: If x is a prime integer and y = 9x, which of the following CANNOT be a divisor of y?
Choices:
45
28
27
99
Answer: B
Question: After decreasing 20% in the price of an article costs Rs.620. Find the actual cost of an article?
Choices:
775
750
800
720
Answer: A
Question: From 5 consonants and 4 vowels, how many words can be formed using 3 consonants and 2 vowels?
Choices:
7200
7800
7500
None
Answer: A
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
224 km
230 km
234 km
255 km
Answer: A
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability E that the game will end after the fourth throw?
Choices:
3/32
1/8
3/16
1/4
Answer: B
Question: Find the odd man out
49, 51, 53, 55, 57, 62
Choices:
53
49
62
51
Answer: C
Question: In how many ways can a group of 20 friends be seated round 2 tables if one of the tables can seat 12 and the other can seat 8 people?
Choices:
15C3 * 8! *3!
20C4 * 11! * 7!
21C2 * 10! *3!
25C5 * 10! *4!
Answer: B
Question: A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
Choices:
38
16
87
127
Answer: B
Question: how many 6 digit no. can be formed using digits 0 to 5,without repetition such that number is divisible by digit at its unit place?
Choices:
426
432
456
485
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child?
Choices:
4 years
6 years
8 years
10 years
Answer: C
Question: In how many ways can three boys and five girls sit in a row such that all boys sit together?
Choices:
A)4320
C)2880
D)1097
E)2781
Answer: A
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
58000
50000
59000
69000
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/9 sec
20/7 sec
22/7 sec
60/7 sec
Answer: A
Question: The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choices:
54
72
84
27
Answer: B
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?
Choices:
30
32
34
31
Answer: D
Question: Two taps can separately fill a cistern 5minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
Choices:
B)4.6
C)8
D)9
E)5
Answer: A
Question: The speed of a boat in still water is 65kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,80 kmph
80,42 kmph
80,40 kmph
85,45 kmph
Answer: D
Question: A mixture contains milk and water in the ratio 3:2. On adding 10 litters of water, the ratio of milk to water becomes 2:3. Total quantity of milk & water before adding water to it?
Choices:
30
50
20
30
Answer: C
Question: How much is 55% of 40 is greater than 4/5 of 25?
Choices:
776
2
12
99
Answer: B
Question: A car traveled the first quarter of a certain distance at six times the speed it traveled the remaining distance. What proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
Choices:
1/15
1/16
1/17
1/19
Answer: D
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choices:
1/5
1/4
5/17
1/3
Answer: C
Question: 8,27,64,125,216,???,512
Choices:
343
348
339
340
Answer: A
Question: Donovan took a math test and got 35 correct and 12 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Choices:
67.78%
74.47%
47.78%
97.78%
Answer: B
Question: One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?
Choices:
20 minutes
25 minutes
30 minutes
35 minutes
Answer: C
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.75$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
420$
490$
516$
680$
Answer: C
Question: Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
Choices:
230/1521
240/1547
240/1528
240/1521
Answer: B
Question: Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every 6 months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period?
Choices:
Rs. 93,300
Rs. 93,100
None of these
Cannot be determined
Answer: A
Question: A is half good a work man as B and together they finish a job in 18 days. In how many days working alone B finish the job?
Choices:
22
27
36
48
Answer: B
Question: The sum of 55 consecutive integers is 5555. What is the greatest integer in the set?
Choices:
128
130
132
134
Answer: A
Question: On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:
Choices:
365387
365737
366757
None of these
Answer: B
Question: The ratio of three numbers is 1:2:3 and their sum is 60. The second number of the three numbers is?
Choices:
26
20
29
30
Answer: B
Question: Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 7 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
2 1/4
42 3/3
4 1/2
5
Answer: B
Question: Gordon is twice as old as Tony was when Gordon was as old as Tony is now. The combined age of Gordon and Tony is 112 years. How old are Gordon and Tony now?
Choices:
Gordon 64 and Tony 48
Gordon 84 and Tony 48
Gordon 64 and Tony 58
None of the above
Answer: A
Question: If an object travels 300 feet in 5 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choices:
38
40
41
34
Answer: C
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
2890
2890
3243
Answer: A
Question: In a company 10% of male staff are same in number as 1/4th of the female staff. What is the ratio of male staff to female staff
Choices:
5 : 2
2 : 1
4 : 3
1 : 2
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 4 sec and 20 sec respectively. What is the speed of the train?
Choices:
23
59.4
79.2
67
Answer: B
Question: There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Choices:
265
375
390
400
Answer: B
Question: A circular rim 30 inches in diameter rotates the same number of inches per second as a circular rim 15 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
75x
48x
24x
120x
Answer: D
Question: A 160 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Choices:
64 kmph
52 kmph
86 kmph
76 kmph
Answer: A
Question: If circles x and y have the same area and circle x has a circumference of 10π, half of the radius of circle y is:
Choices:
8
4
2.5
1
Answer: C