antoine-444/aqua_rat_dataset huggingface dataset:
Question: An investment of $3000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $3000 increased to $12000 by earning interest. In how many years after the initial investment was made the $3000 have increased to $24000 by earning interest at that rate?
Choices:
22
20
18
30
Answer: C
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $15, what was the price before the first discount?
Choices:
$34.31
$28.44
$26.66
$65.23
Answer: C
Question: Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
Choices:
6 hrs
7 hrs
3 hrs
9 hrs
Answer: B
Question: If x > 3 and y < -3, then which of the following must be true ?
Choices:
x/y < -1
x/y < 0
x + y > 0
xy > 0
Answer: C
Question: (3X+2)(2X-5)=AX^2+ KX+N;
THEN WHAT IS THE VALUE OF A-N+K?
Choices:
5
6
7
8
Answer: A
Question: when W is divided by 14, the reminder is 0. if W is three more than it value and when divided by 9 its remainder is 0. what is the value of W ?
Choices:
42
28
30
70
Answer: A
Question: If 20 men can build a water fountain 56 metres long in 21 days, what length of a similar water fountain can be built by 35 men in 3 days?
Choices:
14 m
17 m
19 m
20 m
Answer: A
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4 days
5 days
6 days
None of these
Answer: A
Question: A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
1/32
1/8
2/5
1/2
Answer: A
Question: A truck driver starts with the speed of 70 kmph with the truck driver decreasing speed every two hours by 10 kmph. The truck driver's speed does not drop below 50 kmph. In how many hours will it take the truck driver to travel 500 kms?
Choices:
492 minutes
504 minutes
528 minutes
540 minutes
Answer: C
Question: In a game, a player can win by getting five consecutive tails in six throws of a coin. What is the probability of winning if the player gets a tail on the first throw?
Choices:
1/16
3/16
1/8
3/8
Answer: A
Question: Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 17 members of this sequence?
Choices:
900
743
928
1022
Answer: B
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
3
5
6
8
Answer: B
Question: If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)?
Choices:
63 : 48 : 196
63 : 48 : 1928
63 : 48 : 1918
63 : 48 :121
Answer: A
Question: The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
1299
1000
10000
11600
Answer: D
Question: Along a road lie an odd number of stones placed at intervals of 10m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then the number of stones is
Choices:
15
29
31
29
Answer: C
Question: How many words can be formed by using all letters of TIHAR
Choices:
120
140
160
None of these
Answer: A
Question: How many odd prime numbers are there less than 100?
Choices:
5
24
12
15
Answer: B
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 20 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Choices:
400
5,040
20,520
84,000
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
278
377
750
378
Answer: C
Question: Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 90 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 2 at its maximum rate ?
Choices:
5hrs, 15mins
7hrs, 12mins
13hrs, 4mins
14hrs, 24mins
Answer: A
Question: Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 60% ?
Choices:
1.66
2.55
1.22
4.88
Answer: C
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Choices:
18 days
1 ½ days
25 days
69 days
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
100 gallons
120 gallons
80 gallons
130 gallons
Answer: C
Question: Sara and Alan start a company with Rs.100000 and Rs.50000 respectively. how should they share their profits at the end of one year?
Choices:
2:1
3:8
3:1
3:2
Answer: A
Question: Two stations A and B are 20 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
11
12
8
Answer: D
Question: In a question on division with zero remainder, a candidate took 15 as divisor instead of 5. The quotient obtained by him was 35. The correct quotient is?
Choices:
A)105
C)28
D)29
E)30
Answer: A
Question: If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance
Choices:
6 km
6.8 km
7.2 km
None of these
Answer: A
Question: Which of the following options is equal to 3.75 x 10(power 5)?
Choices:
372000
375000
365000
374000
Answer: B
Question: A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 4 or 15?
Choices:
2/5
3/10
4/15
11/30
Answer: B
Question: Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?
Choices:
12 1/4
13 1/5
14 2/7
15
Answer: C
Question: Length of a rectangular plot is 32 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
66 m
76 m
86 m
96 m
Answer: A
Question: Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choices:
17hr
12hr
19hr
20hr
Answer: A
Question: In how many years will a sum of money doubles itself at 30% per annum on simple interest?
Choices:
3%
5%
8%
2%
Answer: A
Question: A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m.?
Choices:
7
6
5
3
Answer: A
Question: The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
267
215
288
261
Answer: B
Question: If the price has fallen by 15% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
B)10%
1/9 %
3/13 %
%
Answer: C
Question: If 7:13::301:x then the value of ‘x’ is:
Choices:
537
559
587
567
Answer: B
Question: Find large number from below question The difference of two no. is 1365. On dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder?
Choices:
1456
1256
1456
1635
Answer: D
Question: If the S.P of Rs. 45 results in a 50% discount on the list price, What S.P would result in a 40% discount on the list price?
Choices:
s. 54
s. 58
s. 60
s. 62
Answer: A
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 12000, then find the annual income of A?
Choices:
Rs. 403200
Rs. 201600
Rs. 504000
None of these
Answer: A
Question: A is 50% of B. A is also 150% of C. What is the relation between B and C?
Choices:
C and B are equal
C is 75% of B
B is 150% of C
B is 300% of C
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/34
31/31
31/36
Answer: A
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
Choices:
Rs. 700
Rs. 800
Rs. 900
None
Answer: C
Question: In how many different number of ways 8 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
151225
151211
151200
151250
Answer: B
Question: The faces of Cuboid are to be painted by 6 different colors. In how many ways can be this be done?
Choices:
A.720
C.1
D.12
E.36
Answer: A
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds. What is the length of the goods train?
Choices:
470 m
260 m
270 m
None of these
Answer: A
Question: If the sum of a set of 5 different positive prime numbers is 94, which of the following prime numbers must be in the set?
Choices:
2,7,43
5,71,31
7,43,53
11,43,31
Answer: A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 90. Find the average marks of all the students?
Choices:
71.25
52.1
52.3
42.5
Answer: A
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 10% profit on the cost of the item?
Choices:
21.6
20
22.5
27
Answer: B
Question: A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?
Choices:
12000
28372
36788
17881
Answer: A
Question: (6!-4!)/5!=?
Choices:
29/5
27/6
25/4
29/6
Answer: A
Question: A scooter costs 20,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choices:
10,240
12,800
12,000
None of these
Answer: A
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?
Choices:
10
30
40
50
Answer: A
Question: Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is
Choices:
35
55
65
75
Answer: A
Question: In how many ways can an answer key for a quiz be written if the quiz contains 5 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
Choices:
1650
1920
2440
2860
Answer: B
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
360
520
775
800
Answer: D
Question: 1.	How much more would Rs.16000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
A)Rs.4,225.60
C)Rs.4,227.60
D)Rs.4,228.60
E)Rs.4,229.60
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
B)8
C)6
D)2
E)1
Answer: A
Question: The total of the ages of Arun, Ajith, Ajay is 90 years. Ten years ago, the ratio of their ages was 1:2:3. What is the present age of Ajay?
Choices:
40years
38years
30years
42years
Answer: A
Question: If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 4 is subtracted and divided by 10?
Choices:
7
8
5
3
Answer: C
Question: A certain sum of money at simple interest amounted Rs.934 in 8 years at 2% per annum, find the sum?
Choices:
805
890
870
261
Answer: A
Question: A certain airline's fleet consisted of 90 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Choices:
12
13
14
15
Answer: B
Question: Reduce
803/876
to the lowest terms.
Choices:
11/12
26/27
4/7
6/9
Answer: A
Question: Rs.705 is divided amongst A, B, C so that 3 times A's share, 5 times B's share and 4 times C's share are all equal. Find B's share?
Choices:
150
180
716
616
Answer: B
Question: When 2 + 3 = 65, 3 + 4 = 125, 4 + 5 = 205, then 5 + 6 = ?
Choices:
305
315
350
245
Answer: A
Question: A city with a population of 173,460 is to be divided into 9 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Choices:
17,500
17,600
17,700
17,800
Answer: C
Question: Find the area of circle whose radius is 7m?
Choices:
154
288
280
371
Answer: A
Question: A cube of edge 7 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Choices:
1:49
1:52
1:522
None
Answer: A
Question: An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 800 sculptures are not on display, how many pieces of art does the gallery have?
Choices:
1800
540
640
720
Answer: A
Question: (8^16)+(16^13)+(4^20) = ?
Choices:
(6)*(2^48)
(9)*(2^49)
(28)*(2^53)
2^148
Answer: A
Question: If A lends Rs.1500 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:
122.5
132.5
67.5
212.5
Answer: C
Question: If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
Choices:
$844.10
$1,056.30
$1,136.10
$1,264.20
Answer: A
Question: the average of four consecutive even numbers is 27. find the largest of these numbers?
Choices:
20
30
40
50
Answer: B
Question: In a 1000 m race, A beats B by 250 meters or 25 seconds. Find the speed of B?
Choices:
10
7
5
2
Answer: A
Question: How many cuboids of length 5 m, width 2 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Choices:
12
15
16
18
Answer: D
Question: A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
Choices:
105
115
110
140
Answer: C
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required ?
Choices:
40
68
88
None of these
Answer: C
Question: An investment yields an interest payment of $234 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choices:
$30,400
$31,300
$31,200
$35,100
Answer: C
Question: The organizers of a week-long fair have hired exactly eight security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 guards will be available to patrol the fairgrounds on the following Saturday night?
Choices:
8
10
12
14
Answer: B
Question: What is the sum of all digits for the number 10^25 - 58?
Choices:
201
205
209
213
Answer: D
Question: When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.15, what is the value of y?
Choices:
60
48
25
12
Answer: A
Question: If $64 amount to $ 83.20 in 2 years. what will $ 86 amount to in 4 years at the same rate percent per annum?
Choices:
$124.70
$114.80
$137.60
$117.40
Answer: C
Question: A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $982 in total compensation, how many total hours did he work that week?
Choices:
56
44
48
52
Answer: A
Question: The volume of a solid is given by the formula V = ab^2.
If a is doubled and b tripled, by what factor does the volume (V) increase?
Choices:
6
9
18
12
Answer: C
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 129. What is that number?
Choices:
29
27
19
99
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train?
Choices:
100 meter
156 meter
168 meter
154 meter
Answer: A
Question: A committee is composed of w women and m men. If 2 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
Choices:
w/(w+m)
(w+2)/(m+2)
(w+2)/(w+m+2)
(w+2)/(w+m+4)
Answer: D
Question: In a group of 72 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
10
9
8
6
Answer: D
Question: EASY,INC recently conducted a survey and found that 60,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of EASY,INC customers live in urban areas ?
Choices:
180,000
360,000
480,000
540.0
Answer: A
Question: Evaluate: |7 - 8(3 - 12)| - |5 - 11| = ?
Choices:
50
73
70
80
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
40
68
88
None
Answer: C
Question: In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 16.The largest number exceeds the second largest number by how much ?
Choices:
10
30
15
60
Answer: C
Question: Murari and Madan Started a business with investments of Rs. 13000 and Rs. 52000. After 5 months Arun joins with a capital of Rs. 52000. At the end of a year they got a profit of Rs. 14250. Find the share of Arun.
Choices:
Rs. 5250
Rs. 6750
Rs. 2250
None of these
Answer: A
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds?
Choices:
28
15
48
63
Answer: A
Question: Two numbers N and 12 have LCM = 42 and GCF = 6. Find N.
Choices:
56
21
87
24
Answer: B
Question: My brother is 4 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
32 yrs, 29 yrs
32 yrs, 22 yrs
35 yrs, 33 yrs
none
Answer: B
Question: A single discount equivalent to the discount series of 20%, 30% and 5% is?
Choices:
31.7
46.8
31.5
31.1
Answer: B
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform.
Choices:
335 meter
345 meter
350 meter
375 meter
Answer: C
Question: A train , having a length of 385 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Choices:
8 sec
6 sec
4 sec
21 sec
Answer: D
Question: 3x + y = 21 , and x + 3y = 1. Find the value of 2x + 2y
Choices:
18
16
11
5
Answer: C
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
Choices:
143
144
158
160
Answer: C
Question: John tossed a fair coin 3 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.175
0.275
0.375
0.475
Answer: C
Question: A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Choices:
Rs. 8000
Rs. 8500
Rs. 9000
Rs. 9500
Answer: C
Question: 20 people can write 50 book in 15 days working 8 hour a day.then in how many day 200 can be written by 60 people?
Choices:
100
50
70
25
Answer: A
Question: Sandy can do a job in 21 days and Molly can do the same job in 42 days. If they work together, in how many days will they complete the job?
Choices:
10
12
14
16
Answer: C
Question: The least number which when increased by 4 each divisible by each one of 22, 32, 36 and 54 is :
Choices:
859
860
4320
None of these
Answer: B
Question: A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
63.83
111.64
111.11
101.12
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 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
120
88
72
12
Answer: A
Question: Of the employees in a company, 50 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Choices:
62.5%
63.25%
63.5%
65%
Answer: A
Question: Rs.1540 were divided among John, Paul & Tom in such a way that John had Rs.80 more than Paul and Tom had Rs 60 more than John . How much was Paulâ€™s share?
Choices:
Rs.580
Rs.585
Rs.590
Rs.595
Answer: A
Question: A bus can hold 48 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Choices:
1
8
6
4
Answer: D
Question: If a certain sample of data has a mean of 25.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(14.5; 21.0)
(14.0; 26.5)
(16.5; 26.0)
(19.0; 36.5)
Answer: D
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B
Choices:
10
6
5
7
Answer: A
Question: A collection of books went on sale, and 2/3 of them were sold for $4 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$288
$90
$60
$54
Answer: A
Question: The least number of four digits which is divisible by 15, 25, 40 and 75 is:
Choices:
9400
9600
9800
9700
Answer: B
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 40% and its breadth is decreased by 25%?
Choices:
5% increase
6% increase
4% increase
3% increase
Answer: A
Question: A and B complete a work in 30 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choices:
0.1873 days
0.0673 days
0.0583 days
0.0773 days
Answer: C
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Choices:
18 1/4 %
8 1/3 %
6 1/3 %
10 2/3 %
Answer: B
Question: Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced?
Choices:
1/5
2/3
3/4
4/5
Answer: D
Question: There are 56 lights which are functional and each is controlled by a separate On/Off switch. Two children X and Y start playing with the switches. X starts by pressing every third switch till he reaches the end. Y, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
Choices:
19
17
15
16
Answer: B
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 2 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
Choices:
589
562
563
564
Answer: A
Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 15 phone numbers by using the readable digits followed by 15 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?
Choices:
10/243
1/18
10/271
1/1000000
Answer: B
Question: If six boys sit in a row, then what is the probability that three particular boys are always together is?
Choices:
1/5
1/3
1/7
2/5
Answer: A
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
6829
2780
2790
Answer: A
Question: How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
Choices:
1050
1100
1200
1300
Answer: C
Question: All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 91 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
33
36
39
42
Answer: C
Question: Yesterday it took Robert 3 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 30 minutes in both trips, the speed for the round trip would be 80 miles per hour. What is the distance between city A and city B?
Choices:
180
150
240
300
Answer: A
Question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements E are possible?
Choices:
60
90
180
540
Answer: B
Question: The difference between the place values of two fives in the numerical 86510529 is
Choices:
4905
49050
490500
None of them
Answer: C
Question: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 18 seconds?
Choices:
90 miles per hour
216 miles per hour
324 miles per hour
5400 miles per hour
Answer: C
Question: A cement mixture is composed of 3 elements. By weight, 1/2 of the mixture is sand, 1/5 of the mixture is water, and the remaining 15 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
Choices:
40
50
60
80
Answer: B
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 70 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
20 kmph
12 kmph
97 kmph
15 kmph
Answer: A
Question: Between 1980 and 1990 a small town's population increased from 10000 to 12500. Between 1990 and 2000 its population increased from 12500 to 14500. By what percent did the rate of population growth decrease from the period 1980-1990 to the period 1990-2000?
Choices:
24%
28%
32%
36%
Answer: D
Question: Simplify: 244 x 301
Choices:
73143
73200
72956
73444
Answer: D
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3: 9
3: 2
3: 1
3: 3
Answer: C
Question: 14, 23, 32, 41, 50, 59, …
In the sequence above, each term is 9 more than the previous term. What is the 41st term Z of the sequence?
Choices:
365
369
374
383
Answer: C
Question: A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 3
matches are totally played, how many teams participated?
Choices:
5
6
7
3
Answer: D
Question: Evaluate: 45678 * 8*4*8 = ?
Choices:
730848
730846
730596
731848
Answer: A
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 15 skiers were CPR certified and 25 were not. How many skiers tried out for the ski patrol?
Choices:
50
60
70
80
Answer: A
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
Rs.198
Rs.189
Rs.128
Rs.129
Answer: B
Question: A part of certain sum of money is invested at 10% per annum and the rest at 16% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
8:5
4:3
4:1
4:2
Answer: A
Question: The area of the maximum size of the circle described from the 10 inch square?
Choices:
76.5 sq inch
77.5 sq inch
78.5 sq inch
79.5 sq inch
Answer: C
Question: What approximate value will come in place of the question mark(?) in the below question?
(47% of 1442 - 36% of 1412) + 63 = ?
Choices:
278
278
252
271
Answer: C
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 30 . The largest number is:
Choices:
77
36
18
16
Answer: B
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Choices:
45 kg
25kg
35 kg
55 kg
Answer: A
Question: Bob bikes to school every day at a steady rate of x miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Choices:
2(x + t) / xy
2xyt / (x + y)
2(x + y + t) / xy
x(y + t) + y(x + t)
Answer: B
Question: Which of the following numbers is between 1⁄4 and 1⁄5?
Choices:
.35
.29
.22
.15
Answer: C
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
88 kmph
54 kmph
18 kmph
19 kmph
Answer: B
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 8.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Choices:
9%
35%
55%
65%
Answer: A
Question: The value of C+5C(7C)(5CC)when C= 7 is:
Choices:
420777
420170
420175
420715
Answer: C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Choices:
7.42 am
8.30 am
9.45 am
10.00 am
Answer: A
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?
Choices:
21
22
23
24
Answer: B
Question: In a coded language
If
tomato = 3
apple = 2
math = 1
then
mathematics = ?
Choices:
2
3
4
5
Answer: C
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 22 marks, what was the maximum marks he could have got?
Choices:
777
780
867
232
Answer: B
Question: Latha travels from A to B a distance of 1000 miles in 10 hours. He returns to A in 5 hours. Find his average speed?
Choices:
125.98mph
156.15mph
133.3mph
110.5mph
Answer: C
Question: A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 4 %. The rate of interest obtained is
Choices:
5.28%
5.30%
5.50%
6%
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is
45 kmph. For how many minutes does the bus stop per hour?
Choices:
11
10
9
20
Answer: B
Question: A rectangular garden is to be twice as long as it is wide. If 180 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
Choices:
60
80
90
100
Answer: A
Question: 653Ã—1001=?
Choices:
540041
654321
653001
643001
Answer: C
Question: Total 90 cows 30 cow gives each 2 liter milk 30 cow gives each 3/4 liter milk 30 cow gives each 1/4 liter milk this is split into 3 son per each 30 cows & 30 liter milk how?
Choices:
12
15
16
30
Answer: D
Question: Three candidates contested an election and received 3834 votes, 7926 votes, and 16240 votes respectively. What percentage of the total votes did the winning candidate receive?
Choices:
56%
57%
58%
59%
Answer: C
Question: The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 35 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
Choices:
25 ft
750 ft
900 ft
1050 ft
Answer: D
Question: If n = (33)^43 + (43)^32 what is the units digit of n?
Choices:
2
4
6
8
Answer: A
Question: If x is a whole number, then x2(x2 - 1) is always divisible by
Choices:
12
12-x
multiple of 12
NOne
Answer: A
Question: A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Choices:
$82
$110
$138
$194
Answer: D
Question: The average of first 12 even numbers is?
Choices:
11
12
13
14
Answer: C
Question: log 3600 is equal to
Choices:
6log2 + 1
2log6 +2
6log2 + 2
6log2 + 4
Answer: B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
2277
2797
3900
1981
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
Choices:
67%
29%
55%
45%
Answer: A
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
10
12
11
15
Answer: B
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
Rs.11000
Rs.22000
Rs.2750
None
Answer: C
Question: A train is 360 meter long is running at a speed of 36 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
38 seconds
50 seconds
88 seconds
19 seconds
Answer: B
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 11 members, then what is the exact number of researchers required?
Choices:
34
36
31
27
Answer: C
Question: There are 15 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
30
105
60
90
Answer: B
Question: Find the odd man out. 10, 20, 30, 40, 50, 60, 72
Choices:
72
51
90
115
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
17 km/hr
60 km/hr
16 km/hr
15 km/hr
Answer: B
Question: Two vessels contains equal number of mixtures milk and water in the ratio 7:2 and 8:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Choices:
9:13
5:1
11:3
15:4
Answer: B
Question: Evaluate:434 - 12*3*2 = ?
Choices:
426
626
726
826
Answer: A
Question: When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is :
Choices:
80 lakh tons
200 lakh tons
800 lakh tons
None of these
Answer: B
Question: I chose a number and divide it by 4. Then I subtracted 24 from the result and got 10. What was the number I chose?
Choices:
170
800
900
None
Answer: A
Question: The odds against ram solving the problem are 6 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?
Choices:
5/21
16/21
23/28
13/18
Answer: D
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
5/11
5/18
5/19
Answer: A
Question: If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/2 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
1/2
10/3
2
4
Answer: B
Question: A’s speed is 17/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
2/15
2/17
1/8
1/7
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.50 km and 1.0 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
9
7
60
15
Answer: C
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
3120
2877
2999
1277
Answer: A
Question: A corporation triples its annual bonus to 50 of its employees. What T percent of the employees’ new bonus is the increase?
Choices:
662⁄3%
100%
200%
300%
Answer: A
Question: In order to obtain an income of Rs. 3800 from 70% stock at Rs. 280, one must make an investment of
Choices:
Rs.15000
Rs.15250
Rs.15200
Rs.15300
Answer: C
Question: the percentage discount offered for"Buy 6 get 1 free is"?
Choices:
14.29%
17.29%
19.29%
12.29%
Answer: A
Question: The radius of the wheel of a bus is 100 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Choices:
175
300
330
None of these
Answer: A
Question: The ratio of boys to girls in a school is 9 to 11. After 36 more girls join, the ratio becomes 9 to 13. How many boys are there in the school?
Choices:
115
132
162
234
Answer: C
Question: In how many ways letters of the word REPEAT be arranged?
Choices:
360
240
180
169
Answer: A
Question: The least number, which when divided by 12, 15, 20 and 63 leaves in each case a remainder of 8 is:
Choices:
488
542
1268
560
Answer: C
Question: What will be the cost of building a fence around a square plot with area equal to 25 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
1160
2977
2668
1298
Answer: A
Question: In a 1000 m race, A beats B by 100 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
A)190m
C)822m
D)929m
E)132mj
Answer: A
Question: The average of first five multiples of 7 is:
Choices:
16
15
8
21
Answer: D
Question: If 5/w + 5/x = 5/y and wx = y, then the average (arithmetic mean) of w and x is
Choices:
1/2
2
4
8
Answer: A
Question: A car averages 70 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
Choices:
8
10
11
12
Answer: A
Question: If p is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of p?
Choices:
54
162
72
50!+2
Answer: B
Question: A heap of coconuts is divided into groups of 2, 5 and 9 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Choices:
B)41
C)51
D)61
E)91
Answer: D
Question: In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 0.8, then the 3rd term is which of the following?
Choices:
−1
0
0.2
2
Answer: C
Question: If the side of the regular hexagon above is 2, what is the circumference of the inscribed circle?
Choices:
2∏√3
4∏/√3
2∏/√3
∏√3
Answer: A
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 39 . The largest number is:
Choices:
32
36
42
46.8
Answer: D
Question: Out of 12 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
21/55
51/55
41/55
31/55
Answer: C
Question: The speed of a railway engine is 74 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:
Choices:
18
16
17
19
Answer: D
Question: If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
20
15
25
30
Answer: A
Question: A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 70 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Choices:
30%
32%
34%
36%
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
290 sec
490 sec
390 sec
Answer: A
Question: If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Choices:
Tuesday
Sunday
Monday
Friday
Answer: B
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
2/8
6/4
5/7
Answer: A
Question: If it is 7:19 in the evening on a certain day, what time in the morning was it exactly 2,880,705 minutes earlier? (Assume standard time in one location.)
Choices:
7:34
7:43
7:47
7:52
Answer: A
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 16 minutes earlier. How far is the office from his house?
Choices:
4 4/5 Km
3 1/5 Km
3 1/7 Km
3 2/5 Km
Answer: A
Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be
Choices:
60 min
55 min
70 min
75 min
Answer: A
Question: Given that a is the average (arithmetic mean) of the first five positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
Choices:
6:13
5:6
13:10
4:3
Answer: A
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 5 girls and 7 guys. Assuming girls go on dates with guys, how many possible ways can these 10 medical interns date each other?
Choices:
25
60
2520
2320
Answer: C
Question: If the numbers 1 to 95 are written on 95 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/95
1
2
Answer: B
Question: 852.68 − 4.5 + 108.98 = ? − 2132.54
Choices:
6078.58
6258.58
6088.58
None
Answer: A
Question: If 10 crates have 99 apples each and how many apples more is required in order to make 100 apples in each crate?
Choices:
10
15
20
0
Answer: A
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels 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:
07 a.m
11 a.m
03 a.m
06 a.m
Answer: B
Question: Rs.6160 were divided among B, C & D in such a way that B had Rs.320 more than C and D had Rs 240 more than B . How much was Câ€™s share?
Choices:
Rs.2310
Rs.2320
Rs.2330
Rs.2340
Answer: B
Question: What is the smallest positive integer nn such that √6,480∗n is a perfect cube?
Choices:
5^2
30
30^2
30^4
Answer: D
Question: The H.C.F of 1.75, 5.6 and 7 is?
Choices:
0.7
3.5
0.35
None of these
Answer: C
Question: The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is?
Choices:
151
177
282
277
Answer: A
Question: A work crew of 5 Men takes 6 days to complete one-half of a job. If 7 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
Choices:
2 1/2
3 1/3
4
4 4/5
Answer: A
Question: 20% of a number is more than 30% of 120 by 80. Find the number?
Choices:
560
580
620
610
Answer: B
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 105, how many coins of each type are there?
Choices:
30 coins
40 coins
60 coins
None of these
Answer: C
Question: If the radius of a sphere is increased by 50%, find the increase percent in
volume and the increase percent in the surface area.
Sol.
Choices:
120%
90%
115%
125%
Answer: D
Question: Out of a classroom of 6 boys and 4 girls the teacher picks a president for the student board, a vice president and a secretary. What is the probability that only girls will be elected?
Choices:
2/5.
1/30.
1/720.
13/48.
Answer: B
Question: 70 91 120
14 13 24
5 7 ?
What number should replace the question mark?
Choices:
5
3
19
68
Answer: A
Question: Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
Choices:
7500
2788
1277
2771
Answer: A
Question: How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?
Choices:
1092
1500
1125
1234
Answer: A