antoine-444/aqua_rat_dataset huggingface dataset:
Question: A grocer has a sale of Rs. 4435, Rs. 4927, Rs. 4855, Rs. 5230 and Rs. 4562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 4500?
Choices:
s. 2991
s. 3991
s. 4991
s. 5991
Answer: A
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 480 ?
Choices:
498
239
823
1,002
Answer: B
Question: 3^4+3^4+3^4=?
Choices:
b) 3^4
c) 3^5
d) 3^6
e) 3^15
Answer: B
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
80/13 hours
30/73 hours
15/7 hours
50/13 hours
Answer: C
Question: There are 25 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
Choices:
20
40
50
11
Answer: D
Question: A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
Choices:
54 km/hr
66 km/hr
82 km/hr
85 km/hr
Answer: C
Question: A trained covered x km at 30 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
22.5kmph
25kmph
30kmph
35kmph
Answer: A
Question: If each side of a square is increased by 25%, find the percentage change in its area.
Choices:
36.25%
46.25%
56.25%
66.25%
Answer: C
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
40
50
60
Answer: A
Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of D square inches. Which of the following equations must be true?
Choices:
2W^2 − PW − 2D = 0
2W^2 − PW + 2D = 0
W^2 + PW + D = 0
W^2 − PW + 2D = 0
Answer: B
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Choices:
2999
2799
1000
2881
Answer: C
Question: When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
Choices:
√10
4
5
10
Answer: A
Question: On a bright morning, Ashley and Cecilia decided to take out their old cars from the garage and check their speeds. Just to make things for interesting, they decided to race and find out whose car was fast. So they halted their car at the starting point and began with full throttle till the finish line.
When both the car crossed the finishing line, they realized that Ashley's car was 1.2 times faster than Cecelia. Also, Cecelia had reached the finishing line 1 minutes 30 seconds later than Ashley. Ashley's car had reached the finishing line at an average speed of 60 Km/h.
With all this data given, can you find out the total distance between the starting and the finishing lines?
Choices:
8.5Km
7.4Km
7.5Km
7.7Km
Answer: C
Question: What is greatest positive integer n such that 2^n is a factor of 12^14?
Choices:
b)12
c)16
d)20
e)28
Answer: D
Question: On a certain plane, 2/5 of the passengers speak French and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Choices:
15
40
54
60
Answer: B
Question: If there are 6 seats and 3 students, in how many ways can they be seated?
Choices:
120
128
132
136
Answer: A
Question: Can N and can В are both right circular cylinders. The radius of can N is twice the radius of can B, while the height of can N is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can N with the same brand of gasoline?
Choices:
$2
$4
$8
$16
Answer: D
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is?
Choices:
B)10
C)14
D)12
E)11
Answer: A
Question: A desalination process is able to remove 2/3 of salt in each cycle. If we have 1 liter of sea water that has 5% salt (i.e. 5 g in a liter), how much salt would have been removed from the liter of water after 3 cycles of the desalination process?
Choices:
4.21
4.52
4.81
4.93
Answer: C
Question: The expression pq+p is odd when the p and q are integers. Which of the following expressions must be even?
Choices:
q
p + q
pq - p
p + q^2
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 12 years and that for 28 years?
Choices:
4 : 7
3 : 7
Data inadequate
None of these
Answer: B
Question: Two trains are moving in opposite directions with speed of 110 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
Choices:
48
47
36
25
Answer: C
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'P, then how many triangles can be determined with the 15 points that contain the point P?
Choices:
105
182
210
455
Answer: B
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age 5 years back was?
Choices:
15yr
14yr
16yr
20yr
Answer: C
Question: How many odd prime numbers are there less than 50?
Choices:
1
2
14
17
Answer: C
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
80
70
20
40
Answer: B
Question: A person crosses a 600m long street in 4 minnutes. What is his speed in km per hour?
Choices:
7.2km/hr
9km/hr
2.5km/hr
3km/hr
Answer: B
Question: P alone can complete a job in 7 days. The work done by Q alone in one day is equal to one-sixth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
3
4
5
6
Answer: D
Question: A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?
Choices:
7 kmph
2 kmph
8 kmph
1 kmph
Answer: A
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
10
18
27
12
Answer: B
Question: If you drew a dot on the edge of a wheel and traced the path of the dot as the wheel rolled one complete revolution along a line, then the path formed would be called a cycloid, combining both forward and circular motion. What is the length of the path formed by one complete revolution? Assume the wheel has a radius of r.
Choices:
7r
4r
8r
9r
Answer: C
Question: Diane find 6 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
Choices:
7 and a half
10
32 and a half
35
Answer: C
Question: A restaurant meal cost $31.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
Choices:
$39 and $41
$38 and 40
$37 and $39
$35 and $37
Answer: D
Question: A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left.
Choices:
10 km/h
12 km/h
14 km/h
16 km/h
Answer: A
Question: 8, 12, 18, 27, 40.5, (...)
Choices:
60.75
58
60.5
62.5
Answer: A
Question: Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 5 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
Choices:
14
17
29
25
Answer: C
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 420, what is the least possible value of n?
Choices:
7
9
11
12
Answer: A
Question: How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: The 7th grade French and Spanish classes each have 23 students in them, and there are seven students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Choices:
28
30
32
34
Answer: C
Question: A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio Q of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: If p and q are prime numbers, how many divisors does the product p^3 * q^7 have?
Choices:
30
32
35
40
Answer: B
Question: The second day of a month is Friday, What will be the last day of the next month which has 31 days?
Choices:
Saturday
Wednesday
Data inadequate
Thursday
Answer: C
Question: John and Peter are among the nine players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?
Choices:
1/6
2/9
5/18
1/3
Answer: C
Question: In the Land of Oz only one or two-letter words are used. The local language has 64 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
Choices:
66
67
131
128
Answer: D
Question: A car started running at a speed of 34 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
43 km
25 km
15 km
30 km
Answer: A
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 70kmph, find the rate at which the train B runs.
Choices:
60
120
105
100
Answer: C
Question: A monkey ascends a greased pole 6 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
Choices:
9th minute
11th minute
22nd minute
13th minute
Answer: A
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability T that the 2 apples selected will include the spoiled one?
Choices:
b. 3/10
c. 2/5
d. 1/2
e. 3/5
Answer: B
Question: A Prototype fuel-efficient car (P-Car) is estimated to get 87% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 27% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choices:
32 %
50%
60%
66 2/3 %
Answer: A
Question: Raja's Bank's saving amount is decreased 40% due to loan payment and current balance is Rs.30000. Find the actual balance before deduction?
Choices:
8500
50000
9500
10000
Answer: B
Question: If each side of a square is increased by 325% in length, find the percentage change in its area?
Choices:
957%
956.25%
958.25%
959.50%
Answer: B
Question: The present population of a town is 220. Population increase rate is 10% p.a. Find the population of town after 1 years?
Choices:
120
200
242
250
Answer: C
Question: The average age of a group of 10 friends is 15 yr. If one friend leaves the group, the average becomes 16 yr. Find the age of the friend who left the group.
Choices:
4 yr
6 yr
None of these
Cannot be determined
Answer: B
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 10% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Choices:
45
52.63
40
35
Answer: B
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:0
17:4
17:2
17:3
Answer: D
Question: How many four-digit numbers that do not contain the digits 2, 3, or 6 are there?
Choices:
2058
4096
5040
7200
Answer: A
Question: All of the citizens of a country have a seven-character or eight-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Choices:
35(36^7)
35(36^8)
37(36^7)
37(36^8)
Answer: C
Question: A girl swims downstream 112 km and upstream 32 km taking 8 hours each time, what is the speed of the girl in still water?
Choices:
9
10
11
12
Answer: A
Question: A train 125 m long crosses a platform 125 m long in 14 sec; find the speed of the train?
Choices:
64 kmph
54 kmph
16 kmph
18 kmph
Answer: A
Question: Last year, the price of a vacation package was P. At the beginning of this year, the price went up 30%. Lucas used a travel voucher to purchase the vacation package at 20% off this year’s price. In terms of P, how much did Lucas pay?
Choices:
1.1*P
1.12*P
0.04*P
1.04*P
Answer: D
Question: The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case,is :
Choices:
9831
9834
9893
8976
Answer: A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.50000?
Choices:
3277
16550
2998
2789
Answer: B
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
9
8
2
1
Answer: A
Question: If the average (arithmetic mean) of a and b is 120, and the average of b and c is 150, what is the value of a − c?
Choices:
−60
100
135
It cannot be determined from the information given
Answer: A
Question: Which one of the following is not a prime number?
Choices:
61
71
91
98
Answer: C
Question: A builder purchased a plot of land for 80 lakh and constructed a five-storey building inclusive of ground floor on it. How much should he charge for each flat to make 25% profit on his investment on land, if there are five flats on each storey?
Choices:
100000
500000
2000000
None of these
Answer: D
Question: A person can swim in still water at 10 km/h. If the speed of water 8 km/h, how many hours will the man take to swim back against the current for 16km?
Choices:
7
5
8
6
Answer: C
Question: A polling company reports that there is a 40% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Choices:
8
6
4
5
Answer: A
Question: electric running buzzer rang after every 60 sec.and second buzzer rang after every 62 sec.both rung together at 10'o clock.after that at what time both rang together?
Choices:
morning 10:31
morning 10:59
morning 11:00
none of these
Answer: A
Question: If both 7^2 and 3^3 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
Choices:
147
363
1200
1625
Answer: A
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 100, what is his shoe size?
Choices:
100
85
40
50
Answer: A
Question: Of the 300 math majors at a certain university, 30 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Choices:
20
30
45
60
Answer: B
Question: Given that 1 + 3x > 4 and 2x - 3 < 5, all values of x must be between which of the following pairs of integers?
Choices:
1 and 4
3 and 12
4/3 and 5/2
-5 and 1
Answer: A
Question: Find the odd man out
1, 2, 6, 24, 120, 620
Choices:
620
120
24
6
Answer: A
Question: 5216 x 51 = ?
Choices:
266016
266436
216314
None of these
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1120, find the gain percent?
Choices:
24
99
77
18
Answer: A
Question: Which of the following integers can be written as both the sum of 5 consecutive odd integers and 7 consecutive odd integers?
Choices:
70
140
215
525
Answer: D
Question: A & B are two towns. A person covers the distance from A to B on cycle at 17kmph and returns to A by a boat running at a uniform speed of 8kmph. His average speed for the whole journey is
Choices:
12.88kmph
10.88kmph
16.45kmph
13.71kmph
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
62.9 cm
91.5 cm
26.8 cm
16.8 cm
Answer: B
Question: A right triangle ABC has to be constructed in the xy-plane so that the right angle is at A and AB is parallel to x axis. The coordinates of A, B and C are to satisfy the inequalities -3 ≤ x ≤ 5 and 2 ≤ y ≤11 and x and y are integers. The number of different triangles that can be constructed with these properties are?
Choices:
6480
2320
1500
9000
Answer: A
Question: Solution Y is 30 percent liquid X and 70 percent water. If 4 kilograms of water evaporate from 8 kilograms of solution Y and 4 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choices:
41 1/2%
44%
45%
46%
Answer: C
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
2
3
4
65
Answer: C
Question: If the area of a circle decreases by 20%, then the radius of a circle decreases by
Choices:
18%
36%
11%
None of these
Answer: C
Question: A man can hit the target once in four shots. If he fires five shots in succession, what is the probability that he will hit the target?
Choices:
1/256
81/59
45/59
185/59
Answer: C
Question: Which of the following MUST yield an integer when divided by 9?
Choices:
The sum of nine consecutive positive integers.
The sum of two odd integers.
The product of three consecutive odd numbers.
The difference between a multiple of 8 and a multiple of 3.
Answer: A
Question: The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:
Choices:
75
26
76
19
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
3444
3333
4082.4
23468
Answer: C
Question: A number consisting of five digits 5,6,7,8 and 9 each coming once but
not necessarily in that order is taken ,and an algorithm specified in the
previous question is run on it .How many different end results are possible
?
Choices:
1
5
7
9
Answer: A
Question: 900 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
18
60
38
12
Answer: A
Question: Two pipes A and B can fill a tank in 15 min and 18 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
13 min 36 sec
14 min 20 sec
14 min 40 sec
14 min 10 sec
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
66 km/hr
40 km/hr
67 km/hr
22 km/hr
Answer: B
Question: In the figure given below, ABC and CDE are two identical semi-circles of radius 2 units. B and D are the mid points of the arc ABC and CDE respectively. What is the area of the shaded region?
Choices:
3π - 1
2π - 4
½(3π - 1)
2π - 2
Answer: B
Question: Ayayai electronics is a company manufacturing MP3 players. Ayayai manufactures only two players: iMe and iMine. Either player is assembled using a LCD screen or an OLED screen. Excluding the expensive OLED-iMine model, Ayayai manufactures 21,000 players per month. Every month, Ayayai manufactures 11,000 players with an OLED screen, and 12,000 iMine models. If Ayayai manufactures 8000 LCD iMe models monthly, how many players (of all models) does Ayayai manufacture per month?
Choices:
25,000
26,000
27,000
28,000
Answer: B
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6300?
Choices:
Rs. 5991
Rs. 6020
Rs. 7670
None of these
Answer: C
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choices:
600%
100%
170%
102%
Answer: B
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 25% profit?
Choices:
15.75
16.35
16.3
16.32
Answer: A
Question: The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is
Choices:
77
99
110
120
Answer: A
Question: Taylor is making a bracelet. He Starts with 2 blue knots, 6 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Choices:
79
95
97
102
Answer: A
Question: How much to pay for a pair of jeans of $89 when discounted by 60 percent?
Choices:
$30
$35.6
$40
$36
Answer: B
Question: How many litres of pure acid are there in 5 litres of a 30% solution
Choices:
1.5
1.7
1.8
1.9
Answer: A
Question: Certain stocks in January were 20% less than they were in February and 30% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Choices:
11%
20%
25.3%
38.5%
Answer: D
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
12
18
17
13
Answer: A
Question: A man can row with a speed of 14 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
Choices:
26
20
87
24
Answer: D
Question: If a certain sample of data has a mean of 27.0 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:
(24.5; 31.0)
(25.0; 29.5)
(19.5; 33.0)
(24.0; 29.5)
Answer: C
Question: Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:
Choices:
21
28
32
None
Answer: B
Question: A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 3% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
Choices:
.05^10
1-0.95^10
1-0.97^10
0.95^10
Answer: C
Question: A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?
Choices:
1 hour and 36 minutes
2 hours and 24 minutes.
2 hours and 36 minutes
5 hours
Answer: A
Question: In how many ways can a person post 5 letters in 4 letter boxes ?
Choices:
1024
54
4^5
5^5
Answer: C
Question: The population of a bacteria culture doubles every 5 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Choices:
12
14
16
45
Answer: D
Question: How many six digit phone numbers can you frame using the digits from 0 to 9 if a condition restricts you to start the number with 35 and another condition restricts you from using any digit more than once?
Choices:
1680
1648
1782
1845
Answer: A
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 7.
Choices:
5
11
3
1.5
Answer: D
Question: The value of x is to be randomly selected from the integers from 1 to 6, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Choices:
1/4
1/5
1/6
1/7
Answer: C
Question: Some students are standing in a circle in which 6th and the 16th student are standing opposite to each other. find how many students were present there.
Choices:
15
20
25
30
Answer: B
Question: A trader mixes 25 kg of rice at Rs. 30 per kg with 25 kg of rice of other variety at Rs. 40 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Choices:
5%
14.29%
10%
None of these
Answer: B
Question: The ratio of present ages of Nisha and Shilpa is 7 : 8 respectively. Four years hence this ratio becomes 9 : 10 respectively. What is Nisha’s present age in years?
Choices:
14
17
Data inadequate
None of these
Answer: A
Question: The speed of a car is 90 km in the first hour and 40 km in the second hour. What is the average speed of the car?
Choices:
75
88
65
15
Answer: C
Question: Grandmother's Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. If a 750-milliliter Grandmother's Punch bottle has 87 milliliters of alcohol, how much apricot cider does it contains?
Choices:
420 milliliters
565 milliliters
630 milliliters
670 milliliters
Answer: A
Question: A cake is cut into 16 pieces.Whats amount of cake must be eaten to make cake cut into half.
Choices:
2
9
8
3
Answer: C
Question: what is the compound interest on rs:60,000 for 4 months at the rate of 5% per annum
Choices:
2006.24
1006.13
1015.24
1014.24
Answer: B
Question: In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
180
200
504
220
Answer: C
Question: On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
Choices:
885.5 km
892.5 km
825 km
845 km
Answer: A
Question: Shyam purchased a cow for Rs 20000 and 2 goats for 10000. He sold the cow at a loss of 5% and goats at a profit of 15%. Overall he make a.?
Choices:
500
300
350
550
Answer: A
Question: An article is bought for Rs.500 and sold for Rs.700, find the gain percent?
Choices:
33 1/6%
33 1/3%
38 1/3%
40%
Answer: D
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/12 and 1/2
Answer: D
Question: y=248-398x Which of the following values of x gives the greatest value of y in the equation above?
Choices:
100
0.5
0
-1
Answer: D
Question: 17. 2 x 40 =?
Choices:
688.0
288.0
388.0
488.0
Answer: A
Question: 7 noun, 5 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
Choices:
420
500
520
540
Answer: A
Question: a, and b are positive integers less than or equal to 9 and b is twice the a. If a and b are assembled into the four-digit number abab, which of the following must be a factor of abab?
Choices:
7
9
12
None of these
Answer: C
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
250
376
450
342
Answer: D
Question: Barbara has 8 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choices:
66
36
50
56
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 8 miles per day and it will take them two days, how many miles long is the route down the mountain?
Choices:
20
22
24
25
Answer: C
Question: If x:y=9:4 then (7x-3y) : (7x+3y)=?
Choices:
6:13
51:75
51:76
None of these
Answer: B
Question: The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Choices:
30
38
90
None of these
Answer: C
Question: A sporting goods store sold 60 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $4 Frisbees that could have been sold?
Choices:
24
8
4
2
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly then what is the probability that neither blue nor green?
Choices:
3/31
4/17
3/19
probability=8/21
Answer: D
Question: For an upcoming charity event, a male vocalist has agreed to sing 7 out of 9 “old songs” and 5 out of 8 “new songs.” How many ways can the singer make his selection?
Choices:
50
150
480
161.28
Answer: D
Question: In a 1100 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
55 sec
25 sec
Data not sufficient
None of these
Answer: A
Question: Workers at a campaign office have 2000 fliers to send out. If they send out 1/4 of them in the morning and 1/5 of the remaining ones out during the afternoon, how many are left for the next day?
Choices:
800
1100
1200
1180
Answer: D
Question: A present value of a machine is $40000. Its value depletiation rate is 5% per annum then find the machine value after 2 years?
Choices:
$36100
$29580
$31256
$41250
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 40, 55, 60, then the average marks of all the students is:
Choices:
51.25
55
56
None of these
Answer: A
Question: The sum of two numbers is 29 and the difference of their squares is 145. The difference between the number is
Choices:
5
8
11
12
Answer: A
Question: If H = 775 × 778 × 781, what is the remainder when H is divided by 14?
Choices:
6
8
9
10
Answer: A
Question: the sum of 3rd and 9th term of A.P is 8. find the sum of 1st 11 terms of A.P
Choices:
22
44
55
66
Answer: B
Question: What is the total number of prime numbers less than 55?
Choices:
18
16
20
21
Answer: B
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.58, b = 2.95, and c = 3.65, what is y – x?
Choices:
0.2
0.05
0.1
0.2
Answer: A
Question: An agency wants to buy furnitures of x% of a list of 10,000 furnitures in a catalogue. After a market price increase, the agency must reduce this selection by (x − 2)%. In terms of x, how many furnitures will the agency be able to buy?
Choices:
(x)(102 – x)
(100)(102 – x)
(100)(98 – x)
(x-2)/100
Answer: A
Question: There are 2 red chips and 4 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Choices:
B)12
C)50
D)60
E)100
Answer: D
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Choices:
30 birds
18 birds
38 birds
28 birds
Answer: A
Question: What day of the week does May 28 2006 fall on
Choices:
Monday
Sunday
Thursday
None of these
Answer: B
Question: Ajay, Bhavan and Chetan started a business together. Thrice the investment of Ajay, twice the investment of Bhavan and the investment of Chetan are equal. Find the ratio of their respective profits at the end of the year?
Choices:
2:3:6
3:2:1
1:2:3
1:4:3
Answer: A
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
3:9
3:1
3:4
3:2
Answer: C
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 10 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Choices:
90
240
480
800
Answer: D
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Choices:
5 days
4 days
6 days
2 days
Answer: C
Question: There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are red cups?
Choices:
5/99
7/99
11/99
17/99
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
150 meter
209 meter
279 meter
269 meter
Answer: A
Question: A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?
Choices:
29
25
66
09
Answer: A
Question: In a game of 80 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
Choices:
8 points
9 points
10 points
11 points
Answer: A
Question: In 20 minutes, the minute hand gains over the hour hand by
Choices:
80°
88°
96°
110°
Answer: D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
40%
50%
60%
70%
Answer: B
Question: On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 400 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
Choices:
3200/3
3150/3
4002/3
550
Answer: A
Question: There is a family of six persons A, B, C, D, E and F. They are Lawyer, Doctor, Teacher, Salesman, Engineer and Accountant There are two married couples in the family. D, the Salesman is married to the Lady Teacher. The Doctor is married to the Lawyer. F, the Accountant is the son of B and brother of E. C, the Lawyer is the daughter-in-law of A. E is the unmarried Engineer. A is the grandmother of F. How is E related to F?
Choices:
Sister
Cousin
Cannot be determined
father
Answer: C
Question: Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 5,100 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Choices:
9.0
10.0
11.0
12.0
Answer: D
Question: Pipes A and B can fill a tank in 3 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 9/77 hrs
3 9/17 hrs
3 9/27 hrs
2 2/5 hrs
Answer: D
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
Choices:
17%
19%
78%
28%
Answer: A
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choices:
50000
72900
27992
89282
Answer: A
Question: Two pipes A and B can fill a cistern in 37 1/2minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after
Choices:
9 min
10 min
15 min
17 min
Answer: A
Question: Joey throws a dice 3 times and decides to invite the same number of guests for his birthday party as the sum of the outcomes of the throws. What’s the probability that he invites 12 guests?
Choices:
1/16
1/18
1/36
25/216
Answer: D
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Choices:
3
7
8
9
Answer: A
Question: The following sets each have a mean of 5 and the standard deviations are given in variable form.
Set I = {5, 5, 5, 5, 5, 5}, standard deviation = H
Set II = {1, 1, 1, 9, 9, 9}, standard deviation = J
Set III = {2, 3, 4, 6, 7, 8}, standard deviation = K
Rank these three standard deviations from least to greatest.
Choices:
K, H, J
H, J, K
H, K, J
J, H, K
Answer: C
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
5
4
7
8
Answer: C
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 90. What is the largest among them?
Choices:
24
27
33
45
Answer: C
Question: A watch was sold at a loss of 16%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
700
799
778
901
Answer: A
Question: P and Q had the same number of candies. P gave Q 22 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
Choices:
40
45
50
55
Answer: D
Question: if below equation are true
24$6=64
35$5=87
63$7=99
by using same logic what is the value of the below question
88$8=?
Choices:
1711
1611
1511
1311
Answer: B
Question: A, B and C can do a work in 18, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
9
17
18
11
Answer: A
Question: In a full deck of 52 cards, there are 13 spades. A game is played whereby a card from is chosen at random from the deck. If the card is a spade, a winner is declared. If the card is not a spade, it is returned to the deck, the deck is reshuffled and another card is drawn. This process is repeated until a spade is drawn. What is the probability that one will pick the first spade on the second draw or later?
Choices:
1/4
1/2
3/4
7/8
Answer: C
Question: In a game of billiards, A can give B 10 points in 50 and he can give C 30 points in 50. How many points can B give C in a game of 100?
Choices:
60
70
50
75
Answer: C
Question: A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
Choices:
6790
6700
2667
2671
Answer: A
Question: Rs 70000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%?
Choices:
40000
50000
60000
70000
Answer: C
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 1 hours?
Choices:
1.6.
4.2.
5.5.
6.4
Answer: A
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Choices:
16
18
20
22
Answer: A
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
77
90
77
21
Answer: B
Question: If the day after tomorrow is three days before tuesday, do you know which day is today?
Choices:
monday
saturday
thursday
wednesday
Answer: C
Question: A and B are two positive number,if A is divisible by 2 but not by 5 and B is divisible by 5 but not by 2, what could be the value of A and B in the following:- [ the answer are given in the order (A,B) ]
Choices:
(8,10)
(10,8)
(8,15)
(15,8)
Answer: C
Question: Four of the five parts numbered a, b, c, d and e in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is your answer
Choices:
2207.1 ÷ 21
16 2⁄3% of 630.6
32.84375 × 3.2
1⁄5 of 1⁄9 of 4729.4
Answer: D
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 300 km from the starting point ?
Choices:
6 hrs 28 min
3 hrs 12 min
6 hrs 28 min
1 hrs 28 min
Answer: B
Question: 49 × 49 × 49 × 49 = 7?
Choices:
7
8
16
None of these
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 11.30, is
Choices:
65°
45°
165°
95°
Answer: C
Question: Here is a question to keep you busy. Assume that you travel to your friend's place at 20 mph, then how fast you must make the return trip via the same route such that the average speed of your travel becomes 40 mph?
Choices:
No Idea
All above 3
Impossible
None of above
Answer: C
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choices:
1/5
1/4
1/3
1/2
Answer: B
Question: The average of runs of a batsman of seven innings was 38. How many runs must be made in his next innings so as to increase his average of runs by 3?
Choices:
54
70
62
None of these
Answer: C
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
Choices:
3.34
44
33
77
Answer: A
Question: A train running at the speed of 300 km/hr crosses a pole in 33 seconds. What is the length of the train?
Choices:
2750
2950
3050
3150
Answer: A
Question: Two pipes A and B can fill a tank in 6 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
4
8
10
12
Answer: A
Question: The sum of two numbers is 40 and their difference is 28. Find their product.
Choices:
108
114
204
None
Answer: C
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Choices:
6
5
8
9
Answer: B
Question: An integer n that is greater than 1 is said to be "prime-saturated" if it has no prime factor greater than or equal to n√n. Which of the following integers is prime saturated?
Choices:
35
46
66
75
Answer: D
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5⁄7 years
32 1⁄7 years
27 1⁄2 years
None of these
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
278
278
400
277
Answer: C
Question: If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. b > a
Choices:
II only
III only
I and III
I and II
Answer: C
Question: In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choices:
3/5
2/7
4/9
7/10
Answer: B
Question: Which of the following must be an integer if the integer x is divisible by both 28 and 21?
Choices:
x/84
x/126
x/108
x/81
Answer: A
Question: If x is a positive number and 1/2 the square root of x is the cube root of x, then x =
Choices:
64
16
4
1
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
Choices:
14
28
29
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 1/5%
3 5/3%
7 1/3%
Answer: A
Question: Davidson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Choices:
0.7
0.6
0.5
0.49
Answer: D
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Choices:
7000
7290
7010
7102
Answer: A
Question: Out of three consecutive odd numbers ten times the first number is equal to addition of thrice the third number and adding 8 to thrice the second . What is the first number?
Choices:
45/32
14/3
13/2
15/8
Answer: C
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Choices:
10 km/hour
11 km/hour
12 km/hour
13 km/hour
Answer: C
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
Rs.635.50
Rs.675.50
Rs.653.50
Rs.673.50
Answer: A
Question: A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 5, what is the value of x?
Choices:
-2
2
1 and -5
Cannot be determined.
Answer: C
Question: If v and k are integers whose product is 400, which of the following statements must be true?
Choices:
n is not equal to k.
Either n or k is a multiple of 10.
If n is even, then k is odd.
If v is odd, then k is even.
Answer: D
Question: In a school with 604 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
151
250
350
None
Answer: A
Question: Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 5000 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
16%
0.125%
0.2083%
none
Answer: A
Question: 60 + 5 * 12 / (180/3) = ?
Choices:
77
29
61
21
Answer: C
Question: The ratio of the volumes of two cubes is 2744 : 3375. What is the ratio of their total surface areas?
Choices:
71:76
71:145
71:167
71:113
Answer: A
Question: Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34 per cent of spirit. Find the percentage of spirit in A and B.
Choices:
35, 25
25, 35
50, 50
none of these
Answer: A