antoine-444/aqua_rat_dataset huggingface dataset:
Question: The length of a rope, to which a cow is tied, is increased from 19 m to 30 m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease. Use π = \\frac{22}{7}\\) in your calculations.
Choices:
1694 sq m
1594 sq m
1756 sq.m
1896 sq.m
Answer: A
Question: A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 20 per kg, then his gain percent is
Choices:
7%
14%
15%
16%
Answer: A
Question: If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162 km
324 km
1887 km
177 km
Answer: B
Question: If 7 cats can kill 7 rats in 7 minutes, how long will it take 100 cats to kill 100 rats?
Choices:
6 minutes
7 minutes
8 minutes
9 minutes
Answer: B
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.15%
4.34%
5%
Answer: A
Question: A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2300
Choices:
5%
6%
7%
12%
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 11 sec to pass a telegraph post, then the length of the train is?
Choices:
189 m
220 m
178 m
188 m
Answer: B
Question: What is the units digit of 17^73 × 13^82 × 11^87?
Choices:
5
6
7
8
Answer: D
Question: A cricketer scored 152 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Choices:
54.54 %
60.52%
70%
None of these
Answer: B
Question: Michael is interested in dividing all of his boxed food equally among the shelves in his pantry. Unfortunately, the boxes don't divide evenly. It turns out that Michael will need to add three more shelves to the pantry and throw away four boxes of food. Which of the following can describe the initial number of boxes of food and the initial number of pantry shelves (in the order boxes of food; shelves)?
Choices:
28; 6.
65; 7.
53; 4.
45; 6.
Answer: C
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 44 Km/hr. However, he covers the distance from Y to X at an average speed of 36 Km/hr. His average speed during the whole journey in km/hr. is :
Choices:
39.6
40
38
29
Answer: A
Question: If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
Then 24 = ?
Hint: Its a logic Riddle not a mathematical riddle
Choices:
2
4
6
8
Answer: B
Question: What amount does Kiran get if he invests Rs.7680 at 8% p.a. compound interest for two years, compounding done annually?
Choices:
8957
7890
3408
2886
Answer: A
Question: A pool which was 3/4 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
Choices:
9 hrs.
9 hrs 30 mins.
11 hrs 40 mins.
15 hrs 33 mins
Answer: D
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 294, what is the least possible value of n?
Choices:
10
12
14
16
Answer: C
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 20p, in terms of p?
Choices:
2p
5p
10p
p^2
Answer: C
Question: If A`s salary is 20% less then B`s salary , by how much percent is B`s salary more than A`s ?
Choices:
41%
37%
25%
23%
Answer: C
Question: The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
Choices:
28
23
98
32
Answer: B
Question: 15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container M?
Choices:
B:25
C:37.5
D:36
E:42
Answer: B
Question: A train 150 m long crosses a platform 130 m long in 20 sec; find the speed of the train?
Choices:
50
55
45
53
Answer: A
Question: If 5 - 5/X = 4 + 4/X, then X =
Choices:
9
-1
5/4
-4/5
Answer: A
Question: A dice is rolled twice. What is the probability of getting sum 9?
Choices:
1/9
1/7
1/5
1/2
Answer: A
Question: A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
Choices:
20%
33.33%
40%
35%
Answer: A
Question: What number is obtained by adding the units digits of 734^98 and 347^81?
Choices:
11
12
13
14
Answer: C
Question: If five boxes of fruit contain six different fruit in each box, and a fruit is randomly selected from each box, what is the probability of getting at least one pair of the same fruit?
Choices:
4/9
1/2
5/49
49/54
Answer: D
Question: If c is 25% of a and 50% of b, what percent of a is b?
Choices:
50%
25%
35%
250%
Answer: A
Question: A is twice as fast as B. If B alone can do a piece of work in 10 days, in what time can A and B together complete the work?
Choices:
10/3
9
7/3
12
Answer: A
Question: If a carpenter completes 3/8th of his work in 6 days, then how many more days will he require completing his remaining work?
Choices:
10
77
66
72
Answer: A
Question: A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $141 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
Choices:
7
9
11
13
Answer: B
Question: Evaluate:59- 12*3*2 =?
Choices:
51
62
72
82
Answer: A
Question: Meg and Bob are among the 3 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
30
3
90
120
Answer: B
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
1/36
1/18
1/12
1/9
Answer: A
Question: If the equation x^2−6x=-k has at least one solution, which of the following must be true?
Choices:
k < −9
k = 9
k ≤ 9
k ≥ −9
Answer: C
Question: Look at this series: 544, 509, 474, 439, 404 ... What number should come next?
Choices:
408
369
507
404
Answer: B
Question: If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 40 men in 3 days?
Choices:
52mtr
70mtr.
112mtr.
17mtr.
Answer: C
Question: Sherlock Homes and Dr. Watson have to travel from Rajeev Gandhi chowk to Indira
Gandhi International Airport via the metro. They have enough coins of 1, 5, 10 and 25
paise. Sherlock Homes agree to pay for Dr. Watson only if he tells all the possible
combinations of coins that can be used to pay for the ticket.
How many combinations are possible if the fare is 50 paise ?
Choices:
49
45
44
42
Answer: A
Question: Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?
Choices:
Rs 2300
Rs 2500
None of above
Rs 3500
Answer: A
Question: There are t members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of t?
Choices:
12
15
18
22
Answer: A
Question: There are 7 cups placed on a table; 4 are juice cups and the other 3 are tea cups. If 2 cups are to be selected at random from the 7 cups, what is the probability that at least one of the juice cup will be selected?
Choices:
6/7
3/7
4/7
5/7
Answer: A
Question: The positive integers a and b leave remainders of 4 and 7, respectively, when divided by 9. What is the remainder when a − 2b is divided by 9?
Choices:
6
7
8
9
Answer: C
Question: In a group of 800 people, 2/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument?
Choices:
3/125
C)2/25
3/25
7/25
Answer: D
Question: A certain sum becomes four times itself at simple interest in nine years. In how many years does it become ten times itself?
Choices:
27 years.
29 years.
17 years.
37 years.
Answer: A
Question: Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7400 less if they could find two more equal investors. How much is the total investment in the new business.
Choices:
b)	$ 54,000
c)	$ 55,500
d)	$ 5,400
e)	$3,600
Answer: B
Question: A box contain the number of balls which is as much greater than 20 is less than 30. The number of balls is?
Choices:
25
30
50
35
Answer: A
Question: If x is even and y is odd, then x-y
Choices:
Odd
Odd whenever xy is even
Even
It cannot be determined
Answer: A
Question: The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
Rs. 2300
Rs. 2400
Rs. 2480
Rs. 2490
Answer: B
Question: The average of weight of three men A,B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg.more than that of D, replaces A, then the average weight of B,C,D and E becomes 79 kg. The weight of A is :
Choices:
72 kg
75 kg
80 kg
none
Answer: B
Question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :
Choices:
124 m2
108 m2
58 m2
None of these
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
Choices:
4
6
7
8
Answer: A
Question: How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits S equal to 28?
Choices:
24
28
48
96
Answer: C
Question: Exactly three sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll?
Choices:
0.16
0.18
0.147
0.148
Answer: C
Question: The value of Underrot 32pi/4 + Underrot 25 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)
Choices:
35
41
30
23
Answer: C
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
8.4
10
11
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 5/3%
5 1/3%
3 1/7%
Answer: A
Question: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Choices:
1/7
2/7
5/7
1/2
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
Choices:
180
988
177
171
Answer: A
Question: If 6x^2 + x - 12 = (ax + b)(cx + d), then |a| + |b| + |c| + |d|
Choices:
12
15
18
20
Answer: A
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
3/10
3/11
3/12
3/16
Answer: B
Question: The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 3 times the probability that both events A and B occur. What is the probability that event A occurs?
Choices:
9/8
25/8
3/4
7/8
Answer: C
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Choices:
1465
1765
1900
2124
Answer: D
Question: When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.19
II.18.16
III. 17.17
Choices:
II only
III only
I and II only
I and III only
Answer: A
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 50 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
11.04
6.85
5.85
6.15
Answer: A
Question: An automobile manufacturer offers a station wagon with either a 14-cylinder engine or a 12-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 14-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Choices:
94
95
96
98
Answer: C
Question: On increasing the price of T.V. sets by 50%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
Choices:
5
56
20
7
Answer: C
Question: A trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?
Choices:
96.5 kg
84 kg
67 kg
None of these
Answer: C
Question: By selling 15 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%?
Choices:
9
11
89
81
Answer: B
Question: How many terminating zeroes T does 200! have?
Choices:
48
49
55
64
Answer: B
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
43, 36
42, 36
None
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
Rs. 10,000
Rs. 15,000
Rs. 20,000
Rs. 26,000
Answer: B
Question: Pipes A and B can fill a tank in 4 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Choices:
3 hrs
3 9/17 hrs
3 9/27 hrs
3 9/19 hrs
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 20 days. In how many days can Q alone complete the work?
Choices:
26 1/2 days
29 3/4days
14 1/4 days
10 1/2days
Answer: A
Question: How many 3's are there in the following sequence which are neither preceded by 6 nor immediately followed by 9 ?
9 3 6 6 3 9 5 9 3 7 8 9 1 6 3 9 6 3 9
Choices:
2
3
4
5
Answer: C
Question: Which of the following is closest to (-9/10)^199？
Choices:
-1/2
0
1
2
Answer: B
Question: "How old are you, Alchemerion?" asked one of the wizards appearances the wizards answer with a riddle, "I am still Very young as wizards go.I am only three times my son's age. My father is 40 year more than twice of my age. Together the three of us are a 1240 year old". How old is Alchemerion
Choices:
320
340
360
380
Answer: C
Question: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is
Choices:
36 2/3
37 1/2
40
42
Answer: C
Question: Jill has 14 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choices:
6
9
12
24
Answer: D
Question: What is the unit digit in 15^100?
Choices:
1
2
3
5
Answer: D
Question: What is the height of the tower ? A man standing at a distance of 1km from the bottom of the tower makes an angle 300 degrees with the top of the tower .An insect starts from the bottom of the tower and reaches the top in 25sec.
Choices:
0.577km
0.677km
0.577k7
0.977km
Answer: A
Question: Find the sum of first 35 natural numbers
Choices:
468
630
463
520
Answer: B
Question: To create paint with a certain shade of gray, one must combine 2.75 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
127.2
347.1
694.4
705.6
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 70. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
26
27
29
Answer: B
Question: If a car at 60 km/hr instead of 50 km/hr,the car would have gone 20 km more. The actual distance traveled by the car is?
Choices:
100 km
60 km
90 km
65 km
Answer: A
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 500 bolts?
Choices:
72
120
144
180
Answer: B
Question: Which of the following is equal to 1(1/3)%?
Choices:
0.12/100
1.3/100
12/100
12/10
Answer: B
Question: A van takes 6 hours to cover a distance of 252 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
28 Kmph
70 Kmph
80 Kmph
90 Kmph
Answer: A
Question: Two pipes A and B can separately empty a cistern in 45 min and 30 min respectively. There is a third pipe in the top of the cistern to fill it. If all the three pipes are simultaneously opened, then the cistern is full in 90 min. In how much time, the third pipe alone can fill the cistern?
Choices:
22.5 min
30 min
20 min
25 min
Answer: A
Question: A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 11 salespeople on staff, how many different arrangements of winners are possible?
Choices:
1,440
990
220
6
Answer: B
Question: A train 1000 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:
256 m
1000 m
278 m
287 m
Answer: B
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.6
10.4
10.8
10.1
Answer: C
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 38 pages per hour. If Tom starts reading a novel at 4:30, and Jan begins reading an identical copy of the same book at 5:18, at what time will they be reading the same page?
Choices:
8:18
8:48
9:18
9:48
Answer: A
Question: Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 40 km per hour. At what time will Car B be 40 km ahead of Car A?
Choices:
3:00 pm
4:00 pm
4:30 pm
5:00 pm
Answer: A
Question: There are 28 students in a class. Sixteen of those students are men.
What percent of the class are women? (Round to the nearest tenth)
Choices:
32.9%
52.9%
62.9%
42.9%
Answer: D
Question: If ab - c = a(b - c), which of the following must be true?
Choices:
a=1/2 and b=2
b=1 and c=0
a=1 or c=0
a=1/2 or c=0
Answer: C
Question: What is the difference between the place value and face value of 2 in the numeral 2578?
Choices:
2002
1998
1990
1910
Answer: B
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 9%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choices:
15.25%
14.14%
13.33%
11.71%
Answer: D
Question: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
Choices:
65
12
27
92
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
717 m
142 m
150 m
152 m
Answer: C
Question: How much water should be added to 14 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choices:
27 liters
26 liters
32 liters
35 liters
Answer: B
Question: If f is a function defined for all k by f(k) = k^3 /16, what is f(2 k) in terms of f(k)?
Choices:
8 f(k)
2 f(k)
10 f(k)
32 f(k)
Answer: A
Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Choices:
400
300
1200
200
Answer: A
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
Choices:
$6,000
$7,425
$7,500
$9,375
Answer: A
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.60,000. the amount invested by Y is
Choices:
Rs.50,000
Rs.60,000
Rs.90,000
None
Answer: C
Question: 10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
150 days
177 days
187 days
225 days
Answer: A
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Choices:
25
30
45
50
Answer: B
Question: Evaluate
1916−−−−√
Choices:
115
114
113
None of these
Answer: B
Question: Two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.18
7.44
7.15
7.12
Answer: B
Question: If the price of a TV is first decreased by 20% and then increased by 40%, then the net change in the price will be :
Choices:
12% increase
10% decrease
6% increase
None of these
Answer: A
Question: The sum of three consecutive numbers is 75. Name the numbers.
Choices:
24, 25, and 26.
29, 28, and 26.
44, 15, and 36.
54, 5, and16.
Answer: A
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6.6. The true discount is
Choices:
Rs.36
Rs.55
Rs.50
none
Answer: B
Question: An orphanage had provision of food for 300 boys for 90 days. After 20 days, 50 boys left the orphanage. The number of days for which remaining food will last is :
Choices:
72
80
84
86
Answer: C
Question: The owner of a local jewelry store hired two watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 5 more besides. He escaped with two diamonds. How many did he steal originally?
Choices:
50
25
None of these
Cannot be determined
Answer: A
Question: Which of these following integers is the square of an integer?
Choices:
17051831967
17127831453
17142831568
17751831696
Answer: D
Question: Fresh tomato contains 60% lycopene and dry tomato contains 20% lycopene. How much dry tomato can be obtained from 100kg of fresh tomato?
Choices:
B)50kg
C)52kg
D)80kg
E)100kg
Answer: A
Question: The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 1,980 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Choices:
450π
300π
480π
1,200π
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 60?
Choices:
s.3948
s.4080
s.3965
s.3929
Answer: B
Question: In the first 15 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 35 overs to reach the target of 275 runs?
Choices:
6.25
6.75
7.02
6.48
Answer: D
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 728 more than 4times the middle integer. Find the numbers?
Choices:
678
698
728
729
Answer: C
Question: Man is 40% more efficient than Woman. How much time will they, working together, take to complete a job which 1 Man alone could have done in 20 days?
Choices:
25 days
22 days
11 2â„3 days
11 1â„3 days
Answer: C
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 5 standard Veggiematik machines chop in 6 minutes?
Choices:
54
108
270
324
Answer: C
Question: What is the place value of 3 in the numeral 3259
Choices:
3000
3500
4000
4590
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then xy/y = ?
Choices:
4/3
3
18/5
4
Answer: B
Question: The average of 10 consecutive integers is 15. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Choices:
10.5
11
11.5
12
Answer: A
Question: Find the value of x from the below equation: x^2−7x+10=0
Choices:
5
6
7
9
Answer: A
Question: What is 0.1 percent of 12,356?
Choices:
1.2356
12.356
0.012356
0.0012356
Answer: B
Question: The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
Choices:
25 cm
35 cm
42 cm
43 cm
Answer: B
Question: The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?
Choices:
C
Y
I
A
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.484 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Choices:
18
20
22
24
Answer: C
Question: Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 100000 and 1000000 ?
Choices:
10
101
1011
10001
Answer: A
Question: Two trains of length 200 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
266
990
20
24
Answer: D
Question: In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
Choices:
2:1
1:5
5:1
4:3
Answer: A
Question: At Chennai it rained as much on Tuesday as on all the others days of the week combined. If the average rainfall for the whole week was 3 cm. How much did it rain on Tuesday?
Choices:
3 cm
10.5 cm
15 cm
None of these
Answer: B
Question: If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 6 is subtracted and divided by 8?
Choices:
6
8
5
3
Answer: A
Question: Which of the following is closest to 1/7+1/77+1/777
Choices:
1/4.5
1/6
1/9
1/6.4
Answer: D
Question: Jaime earned enough money by selling seashells at 20 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Choices:
10
22
25
30
Answer: B
Question: The total of company C's assets in 1994 was 500% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
Choices:
8N
9N
12N
30N
Answer: D
Question: A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Choices:
267
269
600
298
Answer: C
Question: Which of the following values of x will satisfy the inequality x2 – x – 6 > 0 ?
Choices:
x < – 2 or x > 3
–3 < x < 2
x > – 2 or x < 3
None of these
Answer: A
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
15
16
18
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
17
18
19
20
Answer: B
Question: What will be the compound interest on a sum of Rs. 20,000 after 3 years at the rate of 12% p.a.?
Choices:
s:8098.56
s:10123.20
s:10123.28
s:10123.12
Answer: A
Question: Find large number from below question The difference of two numbers is 1200. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1437
1540
1600
1635
Answer: A
Question: ----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 190 students answered yes only for subject M, how many of the students did not answer yes for either subject?
Choices:
210
300
400
500
Answer: A
Question: The Mathplanet school has increased its student body from 150 students to 240 from last year. How big is the increase in percent?
Choices:
30
40
50
60
Answer: D
Question: A person purchased a TV set for Rs. 12000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
87.68%
70.68%
17.68%
18.68%
Answer: B
Question: One years ago,Promila was four times as old as her daughter Sakshi.Six years hence,Promila’s age will excepted her daughter’s age by 9 years.The ratio of the present ages of Promila and her daughter is
Choices:
11 : 3
12 : 5
13 : 4
None of these
Answer: C
Question: We made a down payment of $80 and borrowed the balance on a new violin which cost $400. The balance with interest was paid in 23 monthly payments of $14 each and a final payment of $22. The amount of interest paid was what percent of the amount borrowed?
Choices:
6.5%
7.5%
8.5%
9.5%
Answer: B
Question: Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
Choices:
33
28
35
28
Answer: D
Question: Sandy purchased 20 dozen toys at the rate of $144 per dozen. Sandy sold each toy at the rate of $12.60. What was the percentage profit?
Choices:
5%
7%
9%
11%
Answer: A
Question: At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using ten colors?
Choices:
35
105
120
210
Answer: C
Question: Find the simple interest on Rs.450 for 8 months at 5 paisa per month?
Choices:
270
180
266
121
Answer: B
Question: A solution of 66 litres contains milk and water in the ratio 7:x. If four litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Choices:
5
3
4
6
Answer: C
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
Choices:
28
156
44
148
Answer: A
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 44 centimeters assuming that 1-inch is 2.54 centimeters?
Choices:
277
288.1
296
282.4
Answer: A
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
Choices:
7/15
7/18
4/17
2/17
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
2
3
Answer: A
Question: Find the value of m from (12)^3 x 6^4 ÷ 432 = m?
Choices:
3546
4566
3455
5184
Answer: D
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
B)38
C)90
D)88
E)42
Answer: D
Question: find the number, difference between number and its 3/5 is 60.
Choices:
150
154
155
156
Answer: A
Question: What is the decimal equivalent of (1/4)^1?
Choices:
0.0625
0.16
0.25
0.5
Answer: C
Question: Albert father was 48 years of age when she was born while her mother was 46 years old when her brother 2 years younger to her was born. What is the difference between the ages of her parents?
Choices:
4
6
8
10
Answer: A
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 4% dividend at the end of the year,then how much does he get ?
Choices:
Rs. 600
Rs. 650
Rs. 720
None
Answer: D
Question: The contents of a certain box consist of 20 apples and 30 oranges. How many oranges must be added to the box so that exactly 20% of the pieces of fruit in the box will be apples?
Choices:
50
75
85
100
Answer: A
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
5%
2%
3%
1%
Answer: A
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 2013, What is the value of n?
Choices:
38
62
122
672
Answer: C
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.650 in 2 years?
Choices:
287
400
589
171
Answer: C
Question: A basket contains 8 blue, 8 red and 8 yellow marbles. If 8 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Choices:
3/25
1/6
9/28
64/253
Answer: D
Question: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 90π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
360π
450π
500π
600π
Answer: A
Question: Given that 0.0010010 x 10^q > 10^3, and q is an integer, which of the following is the smallest possible value of q?
Choices:
4
5
6
7
Answer: C
Question: The area of a triangle will be when a = 1m, b = 2m, c = 7m, a, b, c being lengths of respective sides?
Choices:
6
5
9
1
Answer: B
Question: 0.6 of a number equals 0.09 of another number. The ratio of the number is:
Choices:
1:15
20:3
3:20
None of these
Answer: C
Question: If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is:
Choices:
203
204
205
206
Answer: C
Question: The average marks of a class of 24 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
59.5
52.8
53.5
52.1
Answer: C
Question: If in a certain sequence of consecutive multiples of 50, the median is 725, and the greatest term is 950, how many terms that are smaller than 725 are there in the sequence?
Choices:
5
8
12
13
Answer: A
Question: What will be the day of the week 15th August, 2010?
Choices:
Saturday
Monday
Sunday
Friday
Answer: C
Question: Find the area of the square, one of whose diagonals is 3.8 m long ?
Choices:
7.22m^2
8.96m^2
2.68m^2
7.89m^2
Answer: A
Question: If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 6 II. 5
III. 7
Choices:
II only
III only
I,III only
II,III only
Answer: A
Question: Which number is the odd one out ?
9654 4832 5945 7642 7963 8216 3647
Choices:
3647
5945
7963
8216
Answer: A
Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
26
27
28
29
Answer: C
Question: In a race of length Lmetres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choices:
(N-M)*L/(L-M)
L-N
M-N
M+
Answer: A
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 38 years. What is Deepak present age?
Choices:
24
77
266
182
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.4586
s.4597
s.6342
s.4528
Answer: C
Question: A man is 27 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
25
27
22
91
Answer: A
Question: In how many different ways can the letters of the word â€˜EVERâ€™ be arranged?
Choices:
12
300
310
360
Answer: A
Question: The average of numbers 0.54204, 0.54203, 0.54202 and 0.54201 is ?
Choices:
0.54204
0.542022
0.542025
None
Answer: C
Question: Jill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 18 songs, what are the chances that the third song he hears will be his favorite?
Choices:
1/18
1/11
3/14
1/3
Answer: A
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 4 cups of tea are prepared, 2 in one way and 2 in other. Find the different possible ways of presenting these 4 cups to the expert.
Choices:
24
30
34
None
Answer: A
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.26,000 earned at the end of 2 years from the starting of the business?
Choices:
Rs.9000
Rs.9500
Rs.10,400
None
Answer: C
Question: What is the probability of rolling a nine with two, fair, six-sided dice?
Choices:
1/9
2/13
1/12
5/36
Answer: A
Question: Three race cars driven by James, Myles and Samantha start moving around a circular race track of length 1500m from the same point simultaneously in the same direction at speeds of 15 m/s, 25 m/s and 45 m/s respectively. When will they meet for the first time after they started moving?
Choices:
240 seconds
200 seconds
300 seconds
150 seconds
Answer: D
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
55.5 kg
66.5 kg
67.8 kg
69 kg
Answer: C
Question: If a + b + c = 13, then find the ab + bc + ca :
Choices:
99
50
29
11
Answer: B
Question: In order to complete a reading assignment on time, Terry planned to read 100 pages per day. However, she read only 75 pages per day at first, leaving 625 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
Choices:
7
9
10
11
Answer: A
Question: If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
Choices:
1/2
3/4
2/3
None of these
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 12 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choices:
16/900
1/25
1/50
1/900
Answer: A
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $54 of gas?
Choices:
354
432
512
670
Answer: B
Question: Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 95 widgets produced in the first hour of operation are not inspected by either inspector?
Choices:
50
45
55
60
Answer: A
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 30% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
b $115
c $125
d $130
e $75
Answer: D
Question: Bob bikes to school every day at a steady rate of a 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(a + t) / ay
2ayt / (a + y)
2(a + y + t) / ay
x(y + t) + y(x + t)
Answer: B
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 2 days, B can complete the job in 5 days and C can complete the job in 7 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choices:
70/59 days
3 days
12days
14 days
Answer: A
Question: An error 4% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
4.02%
8.16%
3%
2%
Answer: B
Question: The average of five numbers is 60. If one number is excluded, the average becomes 65. The excluded number is?
Choices:
40
58
35
96
Answer: A
Question: Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
Choices:
5355
2789
2689
2688
Answer: A
Question: What is the 100th digit of (3!*5! + 4!*3!)/2?
Choices:
4
2
7
6
Answer: A
Question: From a nine-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the nine members, what is the probability that both will be chosen to volunteer?
Choices:
b) 35/2
c) 4/21
d) 2/7
e) 3/7
Answer: A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
9
7
5
1
Answer: B
Question: W is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can W be?
Choices:
349,999
350,000
399,999
400,000
Answer: A
Question: A rainstorm increased the amount of water stored in State J reservoirs from 125 billion gallons to 150 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
14
25
30
44
Answer: D
Question: If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE
Choices:
114
118
120
122
Answer: A
Question: At a recent small town election for mayor a total of 967 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Choices:
178
196
166
194
Answer: B
Question: Find the value of x from the below equation? : x^2+5x+4 = 0
Choices:
-3
3
2
0
Answer: A
Question: In a sequence of 39 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?
Choices:
-2
0
18
6
Answer: C
Question: Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.
Choices:
10%
40%
50%
60%
Answer: B
Question: A man sells a horse for Rs.600 and loses something, if he had sold it for Rs.720 , his gain would have been double the former loss. Find the cost price of the horse?
Choices:
98
27
40
71
Answer: C
Question: In what ratio must a grocer mix rice worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?
Choices:
3:2
4:5
1:3
1:5
Answer: A
Question: A and B enter into partnership with capitals in the ratio 3 : 4. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 4. Find how long B remained in the business?
Choices:
8 months
7 months
6 months
None of these
Answer: C
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 6 miles per day and it will take them two days, how many miles long is the route down the mountain?
Choices:
17
18
19
20
Answer: B
Question: Peter is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 4 miles per hour and returns along the same route at an average speed of 6 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
Choices:
4.8
6.0
6.3
6.5
Answer: A
Question: Calculate the different number of ways 7 boys and 2 girls can sit on a bench?
Choices:
362880
311880
362280
362810
Answer: A
Question: The population of a town increased from 1,75,000 to 2,10,000 in a decade. The average percent increase of population per year is
Choices:
2%
6%
8.75%
None
Answer: A
Question: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/6 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Choices:
60
108
60
180
Answer: C
Question: The smallest 4 digit prime number is?
Choices:
B)1003
C)109
D)113
E)None
Answer: A
Question: The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?
Choices:
1494
1349
1496
1596
Answer: B
Question: What is the unit digit in (4137)^754?
Choices:
3
7
5
9
Answer: D
Question: a bank was to give a loan out to a newly married couple for 800,000 with no interest for 2 years and raise the price to 900,000 after 2 years. what is the interest rate?
Choices:
13%
12%
7%
6%
Answer: C
Question: A horse chases a pony 8 hours after the pony runs. Horse takes 12 hours to reach the pony. If the average speed of the horse is 320 kmph, what s the average speed of the pony?
Choices:
192kmph
193kmph
196kmph
190kmph
Answer: A
Question: The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
Choices:
75
88
54
90
Answer: D
Question: How much time will take for an amount of Rs. 480 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
3 years 9 months
9 years
5 years
Answer: B
Question: In a kickball competition of 11 teams, how many possible matches can each team play with each other?
Choices:
16
24
36
55
Answer: D
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
299
266
400
2871
Answer: C
Question: 195,383,575,763,955,___
Choices:
1143
1243
1343
1148
Answer: A
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440
1444
1441
1421
Answer: A