antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 60 km and the other at the rate of 90 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.85
6.85
5.85
6.62
Answer: D
Question: A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
700 m
800 m
187 m
1678 m
Answer: B
Question: The price of a radio was increased by 25 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
Choices:
75%
65%
50%
45%
Answer: A
Question: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is :
Choices:
630 km
900 km
660 km
None
Answer: B
Question: What is the investment made if one invests in 15% stock at 50 and earns Rs.2000?
Choices:
5000
2697
126967
19771
Answer: A
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 25 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
Choices:
1/6
2/3
5/6
17/18
Answer: A
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs. 28000, find the earning of Nandan.
Choices:
Rs.5000
Rs.6000
Rs.Rs.4000
Rs.6500
Answer: C
Question: A certain bakery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?
Choices:
1.75
2.00
2.50
3.00
Answer: C
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length Z of time will elapse before they chime together again?
Choices:
4 hr. and 48 min.
1 hr. and 36 min.
5 hr.
2 hr.
Answer: A
Question: A man can row downstream at 25 kmph and upstream at 15 kmph. Find the time to reach a destination point at a distance of 50km along the downstream.
Choices:
1 hrs.
3 hrs.
2 hrs.
2 1/2 hrs.
Answer: C
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C19, E21, __, I25, K27, ... What number should fill the blank?
Choices:
E21
F22
G23
H24
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180m
286m
288m
277m
Answer: A
Question: The ratio of three numbers is 2:3:5 and their sum is 150. The second number of the three numbers is?
Choices:
26
27
29
45
Answer: D
Question: For any real number x, the operatoris defined as:
(x) = x(2 − x)
If p + 2 =(p + 2), then p =
Choices:
0
1
-2
3
Answer: C
Question: Calculate the circumference of a circular field whose radius is 5 centimeters.
Choices:
4
6
8
10
Answer: D
Question: The average age of five persons is 40 years while the average age of some other 10 persons is 25 years. The average age of all the 15 persons is:
Choices:
32 Years
37 Years
30 Years
35 Years
Answer: C
Question: A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
Choices:
b - 9000
c - 13,500
d - 15,500
e - 27,000
Answer: B
Question: What is the greatest prime factor of 2^10 - 1?
Choices:
19
23
29
31
Answer: D
Question: A train overtakes two persons walking along a railway track. The first person walks at 4.5 km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Choices:
81 km/hr
62 km/hr
46 km/hr
34 km/hr
Answer: A
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
Choices:
twice as much
the same
half as much
a third as much
Answer: A
Question: There are 32 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Choices:
1820
1150
1122
1900
Answer: C
Question: There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of persons in P is double the number of persons in Q. How many persons are there in building P?
Choices:
100
120
140
150
Answer: B
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 W of the competition are possible?
Choices:
20
54
84
120
Answer: C
Question: A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
Choices:
$180000
$380000
$480000
None
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
6
7
9
Answer: A
Question: Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and twice 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
(9/2)b
(7/12)b
Answer: C
Question: If a - b = 2 and a2 + b2 = 25, find the value of ab.
Choices:
A)10.5
C)15
D)18
E)20
Answer: A
Question: 3, 7, 15, 31, 63, ?
Choices:
112
153
173
127
Answer: D
Question: If the complement of a certain angle is two times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
22.5°
18°
15°
Answer: A
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
Choices:
1 day
3 days
5 days
7 days
Answer: A
Question: If the sum of 1/3 and 22/99 is converted to a decimal, what is the 3000th digit to the right of the decimal place?
Choices:
3
5
8
9
Answer: B
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Choices:
2/13
4/13
3/17
3/19
Answer: B
Question: If x and y are integers such that (x+1)^2 is less than or equal to 16 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Choices:
-10
0
14
16
Answer: A
Question: If points A and B are (10-5) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
Choices:
I only
III only
I and II only
I and III only
Answer: A
Question: The banker's discount on a sum of money for 1 1/2 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Choices:
13%
12%
15%
11%
Answer: B
Question: If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?
Choices:
100
110
120
130
Answer: C
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 35 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Choices:
525.
432.
502.
522.
Answer: A
Question: Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9
50/9
24/7
80/9
Answer: C
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 5896
Rs. 2580
Rs. 3697
Rs. 60000
Answer: D
Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 84, what is the value of a?
Choices:
30
28
32
42
Answer: C
Question: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Choices:
20*(sqr2 -1)
4*(sqr7 - 1)
12* (sqr7 -1)
None of these
Answer: A
Question: If k^3 is divisible by 120, what is the least possible value of integer k?
Choices:
30
60
90
120
Answer: A
Question: x is the product of each integer from 1 to 25, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Choices:
4
3
6
7
Answer: B
Question: If n is a positive integer, which of the following expressions must be even?
Choices:
(n − 4)( n + 1)
(n − 2)( n + 6)
(n − 5)( n + 1)
(n − 3)( n + 3)
Answer: A
Question: 30 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 3:4?
Choices:
10
12
14
16
Answer: B
Question: The speed at which a man can row a boat in still water is 21 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 90 metres?
Choices:
27.46
28.46
12.46
25.46
Answer: C
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.28 at the candy store. What is John’s weekly allowance?
Choices:
$3.00
$3.20
$3.60
$4.80
Answer: D
Question: The simple interest at z% for z years will be $z on a sum of
Choices:
$(100)z^2
$ z
$ (100)/z
$ 100z
Answer: C
Question: The ratio of two quantities is 3 to 5. If each of the quantities is increased by 6, what is the ratio of these two new quantities?
Choices:
It cannot be determined from the information given.
12/13
15/14
16/14
Answer: A
Question: A box contains 4 red chips and 4 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
Choices:
4/7
7/12
2/3
7/10
Answer: A
Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.2?
Choices:
14.4.
15.8.
16.2.
16.4.
Answer: C
Question: the price of a commodity(in rupees per kilogram) is 100+0.1n, on the nthvday of 2007(n=1,2,,,,,100), and then remains constant. On the other hand, the price of another commodity is 89+0.15n on the nth day of 2007(n=1,2,,,,,,365). On which date in 2007, will the price of these twocommodities be equal????
Choices:
12th may
20th may
22th may
24th may
Answer: B
Question: At 3.40, the hour hand and the minute hand of a clock form an angle of
Choices:
125°
130°
135°
None
Answer: A
Question: The average age of 15 students of a class is 14 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
4years
5years
6years
7years
Answer: A
Question: A train is 320 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
38 seconds
40 seconds
88 seconds
36.8 seconds
Answer: D
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
11 years
33 years
14 years
18 years
Answer: A
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Choices:
3 : 1
1 : 2
2 : 1
None of these
Answer: A
Question: Two numbers are in the ratio of 1 : 2. If 6 be added to both, their ratio changes to 3 : 5. The greater number is
Choices:
24
28
32
36
Answer: A
Question: On flipping 3 coins together what is the outcomes for at least two tail?
Choices:
3/8
3/11
4/13
5/13
Answer: A
Question: If x is 20 percent more than y and y is 60 percent less than z, then x is what percent of z?
Choices:
48%
500/3%
125%
60%
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Choices:
500
222
297
111
Answer: A
Question: A ladder 18 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 6 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Choices:
12.5
18
19
25
Answer: A
Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 7, 8 and 7. By what percent did she fall short of her goal?
Choices:
5%
8%
10%
12%
Answer: A
Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person ?
Choices:
95 kg
45 kg
85 kg
25 kg
Answer: A
Question: The value of x is to be randomly selected from the integers from 1 to 11, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Choices:
4/11
3/11
2/11
1/11
Answer: D
Question: A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
278m
400m
228m
282m
Answer: B
Question: Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temperature of the particular day is 35°C , it is equal to
Choices:
80
95
100
120
Answer: B
Question: One night 40 percent of the female officers on a police force were on duty. If 240 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
300
270
500
1,000
Answer: A
Question: If 4/a + 5/a + 6/a is an integer, which of the following must also be an integer?
Choices:
3/a
6/a
9/a
15/a
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
60%
10%
80%
Answer: A
Question: The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
12
75
28
91
Answer: B
Question: If m and n are positive integers, and m=2n and k=9m, then -
Choices:
2m is a factor of k.
3m is a factor of k/2.
m/2 is a factor of k.
k is a factor of m/2.
Answer: C
Question: The average age of 40 students is 8 years. If the age of teacher is also included , then their average age increases by half a year. What is the age of the teacher?
Choices:
48.5 years
28.5 years
26.5 years
27.5 years
Answer: B
Question: In how many ways can a Chief Minister and a Vice Minister be elected from a team of 11 members?
Choices:
110
132
144
169
Answer: A
Question: Two cars namely A and B start simultaneously from a certain place at the speed of 40 kmph and 55 kmph, respectively.The car B reaches the destination 2 hours earlier than A. What is the distance between the starting point and destination?
Choices:
6 hours 15 minutes
7 hours 20 minutes
7 hours 12 minutes
None
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
300
299
750
261
Answer: A
Question: When 22 is divided by the positive integer k, the remainder is 2, for how many different values of k is this true?
Choices:
2
3
4
5
Answer: C
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
Choices:
300
400
500
600
Answer: B
Question: In a sequence, each term is obtained by adding 2 to the preceding one. If the sum of the first 20 terms is equal to 140, what is the result of the addition of the first 40 terms?
Choices:
1080
1160
1240
1280
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,75,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
70000
90000
Answer: C
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 30% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Choices:
$40
$50
$70
$100
Answer: C
Question: A class has 6 boys and x girls. Average score of boys and girls is 50 and 60 respectively. the average of the whole class is 55, what is the value of x?
Choices:
6
10
12
15
Answer: A
Question: If 2x^2 + y^2 = 2xy, then (x - y)^2 =
Choices:
-x^2
4xy
2y^2
– y^2
Answer: A
Question: Find the least square number which is exactly divisible by 10,12,15 and 18.
Choices:
900
103
104
217
Answer: A
Question: George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 15% of the money for taxi fare and buys 15 mangoes. How many oranges can he buy?
Choices:
17.5
20
16
12
Answer: A
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 20% profit?
Choices:
960
277
266
768
Answer: D
Question: In the interior of a forest, a certain number of apes equal to the square of one-fourth of the total number are playing and having great fun. The remaining four apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
Choices:
8
64
80
16 or 48
Answer: A
Question: Area of a square is 1/2 hectare. The diagonal of the square is?
Choices:
100 meter
50√ 2 meter
50 meter
35 meter
Answer: A
Question: A box contains 9 apples, 8 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
Choices:
4
5
6
7
Answer: B
Question: How much time will a train of length 400 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50 sec
60 sec
70 sec
80 sec
Answer: C
Question: If k is a non-negative integer and 21^k is a divisor of 435,961 then 7^k - k^7 =
Choices:
1
42
118
242
Answer: A
Question: The Simplastic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic?
Choices:
12
36
72
108
Answer: D
Question: What distance will be covered by a city bus moving at 72 kmph in 30 seconds?
Choices:
300 m
600 m
500 m
400 m
Answer: B
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 25 p coins are there?
Choices:
100
125
150
120
Answer: C
Question: What is the square root of 3,969?
Choices:
B)9
C)45
D)63
E)81
Answer: C
Question: Which No. Replace in Question mark?
4,02,42,82,23,63,?
Choices:
04
06
07
08
Answer: A
Question: What number has a 5:1 ratio to the number 11?
Choices:
50
55
52
12
Answer: B
Question: In how many ways can we put 4 different balls in 3 different boxes when any box can contain any number of balls?
Choices:
81
64
63
82
Answer: A
Question: There are two numbers. If 50% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
5/7
5/3
5/8
2/1
Answer: D
Question: If m > 0 and y is m percent of x, then, in terms of m, x is what percent of y?
Choices:
b) 1/100m
c) 10,000/m
d) 10/m
e) 1/m
Answer: B
Question: What is the HCF of 2/3, 4/9 and 6/18
Choices:
2/45
1/9
8/45
9/45
Answer: B
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
350
450
470
500
Answer: B
Question: If x and y are odd integers, which of the following must always be a non-integer
Choices:
y/x
xy/4
x/y
x^2y^2
Answer: B
Question: David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Choices:
28
30
37
None
Answer: B
Question: From below option 48 is divisible by which one?
Choices:
A)3
C)9
D)7
E)11
Answer: A
Question: If (5^5)(9^3)=3(15^x), what is the value of x?
Choices:
5
11
13
15
Answer: A
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 60 as remainder. Find the no. is?
Choices:
236578
645353
456546
220060
Answer: D
Question: Find the odd man out. 12, 24, 34, 48, 64, 84
Choices:
34
24
12
11
Answer: A
Question: The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?
Choices:
14
10
16
20
Answer: B
Question: If N = 1/5 + 1/5^2 +1/5^3 , then N is multiplied by 100 , will the product be greater than 100?
Choices:
Less than 100
Indeterminate
Equal to 100
Cannot be determined
Answer: A
Question: If x/4 + 24/x = 5, what are the values of 4x - 7?
Choices:
8 and 24
25 and 41
12 and 29
17 and 29
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 22 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 72 kmph when will the owner over take the thief from the start?
Choices:
11/25 hours
2/3 hours
1/3 hours
2/5 hours
Answer: A
Question: A 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
2/5
1/2
3/5
2/3
Answer: D
Question: A tour group of 25 people paid a total of $1050 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$40
$25.20
$30
Answer: B
Question: A train runs at the speed of 72 kmph and crosses a 250 metre long platform in 26 seconds. What is the length of the train ?
Choices:
230 metre
250 metre
260 metre
270 metre
Answer: D
Question: John borrowed 3 soccer boots from Jake, and forgot them on the field, if peter came across a total of 15 boots on the field Jake's boots inclusive, and he took 4 boots at random, what is the probability that Jake's boots were not amongst the 4 taken?.
Choices:
3/15
12/15
33/91
3/91
Answer: C
Question: Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Choices:
28.5 years
84.5 years
34.5 years
24.5 years
Answer: D
Question: What will be the difference between simple and compound interest at 16% per annum on a sum of Rs. 1000 after 4 years?
Choices:
164.12
170.6
167.1
165.11
Answer: B
Question: If paint costs $3.20 per quart, and a quart covers 1200 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
Choices:
$ 1.60
$ 96.00
$108.00
$196.00
Answer: A
Question: An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed?
Choices:
82%
81%
50%
80%
Answer: D
Question: A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 20 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choices:
5400
6600
7800
8900
Answer: B
Question: a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required
Choices:
4
5
6
7
Answer: A
Question: A person, who decided to go to weakened trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?
Choices:
between 120 and 140 miles
160 miles
180 miles
260 miles
Answer: A
Question: Taequan is playing a dice game where he rolls two, fair, six-sided dice twice. If he gets the same roll on his second try as his first, he wins. If he rolled an 8 on his first try, what is the probability that he will win with his second roll?
Choices:
1/12
1/9
1/6
5/36
Answer: D
Question: A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
200 m
400 m
500 m
300 m
Answer: B
Question: Mangala completes a piece of work in 18 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
7 days
15 days
9 days
11 days
Answer: B
Question: The average weight of 8 person's increases by 5 kg when a new person comes in place of one of them weighing 35 kg. What might be the weight of the new person?
Choices:
85 kg
75 kg
100 kg
110 kg
Answer: B
Question: What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?
Choices:
50 18 48 62
10 18 48 68
30 18 48 66
40 18 48 69
Answer: C
Question: A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article ?
Choices:
$400
$300
$550
$610
Answer: A
Question: On January 1, 2011, James invests 80% of his retirement savings in Antarctic largecap stocks, 10% in Antarctic midcaps, and 10% in Antarctic smallcaps. In 2011, largecaps rise 10%, midcaps rise 10%, and smallcaps rise 20% in the Antarctic stock market; however, in 2012, largecaps fall 5% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2013,James has the same total amount of retirement savings as he did two years before, then x is between
Choices:
20 and 30
30 and 40
40 and 50
50 and 60
Answer: C
Question: √{(3.5)(10^9)} is closest to which of the following?
Choices:
60,000
140,000
220,000
250,000
Answer: A
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2:5
4:3
2:4
2:9
Answer: A
Question: A tank is filled by 3 pipes A,B,C in 5 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choices:
35hr
40hr
20hr
50hr
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
700 m
800 m
100 metre
1050 m
Answer: C
Question: In a certain province in Russia 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: In an apartment building that has 441 units, 4 out of every 7 units are currently rented, including 1/5 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
Choices:
45
100
105
140
Answer: A
Question: How many minutes does it take Dhoni to type 64 words if he types at the rate of 16 words per minute?
Choices:
15
12
16
14
Answer: C
Question: A and B start walking towards each other at 6pm at speed of 6kmph and 4kmph. They were initially 50km apart. At what time do they meet?
Choices:
6pm
11pm
10pm
5pm
Answer: B
Question: Manoj borrowed Rs.4200 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
5855
2778
6787
1771
Answer: A
Question: Find the remainder of the division (3^50)/7.
Choices:
3
2
1
7
Answer: B
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum Z of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
Z=4x
5x/3
3x/2
3x/5
Answer: A
Question: The present population of a town is 1000. Population increase rate is 25% p.a. Find the population of town before 1 years?
Choices:
800
1000
750
500
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 12kmph. Find the speed downstream and upstream?
Choices:
40 kmph
16 kmph
15 kmph
48 kmph
Answer: D
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104,350,400,000 pounds, how many widgets have been unloaded?
Choices:
3
4
5
6
Answer: C
Question: How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture worth Rs.32/3 a litre?
Choices:
12 litres
15 litres of water
18 litres
21 litres
Answer: B
Question: Angelina walked 150 meters from her home to the grocery at a constant speed. She then walked 200 meters to the gym at double the speed. She spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
3
4
10
12
Answer: C
Question: In a 1000 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
50 sec
25 sec
Data not sufficient
None of these
Answer: A
Question: If a person walks at 16 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Choices:
56 km
60 km
70 km
33.3 km
Answer: D
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Choices:
22
2
52
18
Answer: C
Question: How many ways are there for 3 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choices:
12
72
100
720
Answer: A
Question: How many different values of positive integer x, for which |x+9|<x, are there?
Choices:
2
3
8
16
Answer: B
Question: A man buys an article for 14% less than its value and sells it for 14% more than its value. His gain or loss percent is:
Choices:
20% profit
less than 30% profit
more than 30% profit
None
Answer: C
Question: If x is negative and y is positive, which of the following must be positive?
Choices:
xy
2y + x
(x + y)^2 + 1
3x/y
Answer: C
Question: In an election between 2 candidates, 50% of the voters cast their votes, out of which 10% of the votes were declared invalid. A candidate got 5000 votes which were 50% of the total valid votes. Find the total number of votes enrolled in that election?
Choices:
18000
17500
15823
15000
Answer: A
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 9 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
1/6
1/45
1/50
1/900
Answer: B
Question: Prathik purchased 40 shirts for rs 3000.he spends 10% for transportation. What should be the selling price per shirt to earn profit of 20% ?
Choices:
97 rs
98 rs
99 rupees
100 rs
Answer: C
Question: A can do a certain job in 16 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
8 days
5 days
10 days
None of them
Answer: C
Question: A can do a work in 22 days. B is 30% more efficient than A. How many days does B alone take to do the same job?
Choices:
221/13
220/13
219/13
218/13
Answer: B
Question: When Q is divided by X, the quotient is R and the remainder is E. Which of the following expressions is equal to E?
Choices:
-RX + Q
Q + RX
QX - R
Q/R
Answer: A
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Choices:
78
96
56
48
Answer: B
Question: If n is a natural number, then(6n^2+6n) is always divisible by?
Choices:
6 and 12
12 only
by 18 only
None of these
Answer: A
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choices:
5/8
3/7
5/12
4/7
Answer: C
Question: Kul is 22 years old and Saras is 33 years. Find the ratio of Saras's age to Kul's age.
Choices:
3/2
5/2
5/3
None of these
Answer: A
Question: If 2/a + 3/a + 6/a is an integer, which of the following must also be an integer?
Choices:
3/a
6/a
9/a
11/a
Answer: D
Question: What percent is 240 of 90?
Choices:
134 1/3 %
135 1/3 %
266 2/3 %
143 1/3 %
Answer: C
Question: Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 46800, how much amount per month would he have spent on clothes and transport?
Choices:
8076
9691.2
4845.6
3900
Answer: D
Question: How long does a train 125 m long running at the speed of 78 km/hr takes to cross a bridge 125 m length?
Choices:
10.1 sec
11.5 sec
12.1 sec
11.7 sec
Answer: B
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 23. What is the middle number?
Choices:
27
15
32
34
Answer: B
Question: The compound ratio of 5:6, 5:2 and 4:5?
Choices:
5:3
1:6
1:9
1:2
Answer: A
Question: A car runs at the speed of 40 km per hour when not serviced and runs at 80 kmph when serviced. After servicing the car covers a certain distance in 8 hours. How much time will the car take to cover the same distance when not serviced?
Choices:
12 hours
16 hours
17 hours
None
Answer: B
Question: The Julie's father's age is two more than thrice Julie's age. If Julie will be 15 after 4 years, what is her father's present age?
Choices:
35 years
32 years
34 years
30 years
Answer: A
Question: Average score for Virat Kohli in a series of 10 matches is 38.9 runs. If the average for first six matches comes out to be 42 what is his average in the last 4 matches of the series?
Choices:
34.25
24.252
64.28
34.21
Answer: A
Question: The speed of boat in still water is 20 km/hr. If it travels 26 km downstream and 14 km upstream in same time, what is the speed of the stream?
Choices:
6
8
9
2
Answer: A
Question: Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Q if the median is 10 gallons?
Choices:
2
3
4
5
Answer: A
Question: Set J consists of 5 consecutive even numbers. If the smallest term in the set is -2, what is the range of the positive integers in set J?
Choices:
2
4
6
8
Answer: B
Question: What is the measure of the acute angle between the hour and minute hands of a correctly
working clock at 4:18 ?
Choices:
15◦
18◦
21◦
24◦
Answer: C
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
19.5 days
17.5 days
16.5 days
18.5 days
Answer: B
Question: A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?
Choices:
18
19
20
21
Answer: A
Question: Of the science books in a certain supply room, 50 are on botany, 75 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
59
166
285
334
Answer: D
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
25/113
27/137
31/128
Answer: A
Question: A can finish a work in 36days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Choices:
15days
6days
7days
8days
Answer: A
Question: The numbers of students speaking English and Hindi are in the ratio of 4 : 5. If the number of students speaking English increased by 35% and that speaking Hindi increased by 20%, what would be the new respective ratio?
Choices:
7 : 8
8 : 9
Cannot be determined
None of these
Answer: D
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
2 days
5 days
3 days
6 days
Answer: A
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Choices:
58%
42%
34%
25%
Answer: D
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
180 m
240 m
207 m
202 m
Answer: A
Question: In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
Choices:
150
200
450
451
Answer: B
Question: Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Choices:
29.25
79.28
29.22
29.21
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
7
8
5
3
Answer: B
Question: A train covers a certain distance at a speed of 340kmph in 4 hours. To cover the same distance in 2 3/4 hours, it must travel at a speed of
Choices:
495km/hr
450km/hr
550km/hr
650km/hr
Answer: A
Question: 6 people meet for a business breakfast. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
18
15
10
Answer: C
Question: Find the odd man out?
396, 462, 572, 427, 671, 264.
Choices:
427
297
2678
187
Answer: B
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Choices:
3667
387
675
711
Answer: C
Question: The average weight of 8 persons increases by 4 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:
65 kg
55 kg
97 kg
25 kg
Answer: C
Question: Which of the following statements is not correct?
A.	log10 (10) = 1
B.	log (2 + 3) = log (2 x 3)
C.	log10 (1) = 0
D.	log (1 + 2 + 3) = log 1 + log 2 + log 3
Choices:
log (2 + 3) = log (2 x 3)
log10 (1) = 0
log (1 + 2 + 3) = log 1 + log 2 + log 3
none of these
Answer: A
Question: A pipe takes a hours to fill the tank. But because of a leakage it took 7 times of its original time. Find the time taken by the leakage to empty the tank
Choices:
60 min
90 min
80 min
70 min
Answer: D
Question: Three positive integers a, b, and c are such that their average is 24 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
Choices:
25
27
29
31
Answer: C
Question: X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?
Choices:
X Beats Y by 0.5 m
X Beats Y by 4 m
Y Beats X by 10m
Beats X by 11m
Answer: B
Question: A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 25%. What was its profit on the items sold in February?
Choices:
12.5%
35%
37.5%
40%
Answer: A
Question: Which of the following fractions terminates?
Choices:
3/160
7/220
9/120
11/550
Answer: A
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, three boggies were detached. The train now crosses a telegraph post in
Choices:
6.75 sec
15 sec
20 sec
None of these
Answer: A
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is
Choices:
100 m
120 m
180 m
None
Answer: C
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
Choices:
26%
17%
18%
None of these
Answer: A
Question: the ratio of two no. addition and subtraction be 4:3.the what is the ratio of numbers?
Choices:
4:3
5:1
6:5
7:1
Answer: D
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
223.22
157.5
222.88
229.11
Answer: B
Question: Three workers have a productivity ratio of 2 to 5 to 9. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Choices:
6 to 1
15 to 2
1 to 6
1 to 5
Answer: B
Question: A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
120
882
272
323
Answer: A
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choices:
28
31
36
39
Answer: B
Question: As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
Choices:
I only
II only
II,III only
III only
Answer: C
Question: A certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
42170
14008
16510
41160
Answer: D
Question: a light flashes every 20 seconds, how many times will it flash in ? of an hour?
Choices:
600
650
180
750
Answer: C
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
3/8
7/15
17/35
1/2
Answer: A
Question: log(a(a(a)^1/4)^1/4)^1/4 here base is a.
Choices:
21/64
1
22/63
23/65
Answer: A
Question: What is the CP of Rs 100 stock at 2 discount, with 1/5% brokerage?
Choices:
96.2
97.5
98.2
None of these
Answer: C
Question: The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?
Choices:
56
80
27
40
Answer: B
Question: A man can row upstream at 20 kmph and downstream at 60 kmph, and then find the speed of the man in still water?
Choices:
29
40
20
24
Answer: B
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 92. Find the number of students who wrote the exam.
Choices:
25
30
45
55
Answer: B
Question: The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
Choices:
4:3
5:2
Cannot be determined
7:8
Answer: C
Question: What should come in place of the question mark(?) in the following equation? 28⁄? = ?⁄112
Choices:
56
48
64
None of these
Answer: A
Question: Find the value of 72517 x 9999 = m?
Choices:
436567874
653658791
725097483
357889964
Answer: C
Question: On the coordinate plane , points P and B are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
Choices:
(2,-5)
(0,0)
(1,1.5)
(2,2)
Answer: C
Question: A does a work in 10 days and B does the same work in 5 days. In how many days they together will do the same work ?
Choices:
2/7
3/10
3/11
3/17
Answer: B
Question: There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure e in inches of the width of the foil covered prism?
Choices:
6
8
9
10
Answer: D
Question: The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the length of the rectangle?
Choices:
15 cm
18 cm
21 cm
24 cm
Answer: A