antoine-444/aqua_rat_dataset huggingface dataset:
Question: List R contains five numbers that have an average value of 40. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list?
Choices:
16
20
24
28
Answer: A
Question: The length of a room is 6 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Choices:
25650
26550
26750
25725
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Choices:
23 years
15 years
88 years
66 years
Answer: A
Question: The volume of water in a certain tank is x percent greater than it was one week ago. If r percent of the current volume of water in the tank is removed, the resulting volume will be 90 percent of the volume it was one week ago. What is the value of r in terms of x?
Choices:
10x+1
100(x+10)
100( x+10/x+100)
100 ( 10x+1/10x+10)
Answer: C
Question: Indu gave Bindu Rs.500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
1.2
3
4
0.8
Answer: D
Question: A chair is bought for Rs.800/- and sold at a loss of 10% find its selling price
Choices:
Rs.510/-
Rs.515/-
Rs.720/-
Rs.540/-
Answer: C
Question: What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Choices:
2592
2377
2999
2772
Answer: A
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
2:7
1:6
1:4
1:3
Answer: D
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 36?
Choices:
4
12
32
5
Answer: D
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $150, how much more remains to be paid?
Choices:
$990
$1,350
$1,100
$1,210
Answer: B
Question: By selling 66 metres of cloth a person gains the cost price of 22 metres. Find the gain percent.
Choices:
22 1⁄2%
33%
33 1⁄3%
None of these
Answer: C
Question: 6 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 5 professor, how many ways can this committee be formed?
Choices:
60
72
80
4
Answer: D
Question: If A^2 + B^2 = 15 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2
Choices:
20
60
30
70
Answer: C
Question: What is the greatest positive integer x such that 3^x is a factor of 9^7?
Choices:
14
10
20
30
Answer: A
Question: There are 190 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Choices:
85
94
105
108
Answer: C
Question: One fast typist type some matter in 4hrs and another slow typist type the same matter in 7hrs. If both do combine in how much time they will take to finish.
Choices:
1 hr 30 mins
2 hr 32 mins
3 hr 15 mins
4 hr 20 mins
Answer: B
Question: If 2x + y = 7 and x + 2y = 5, then 2xy/3 =?
Choices:
2
17/5
18/5
4
Answer: A
Question: On a summer camp, 20% of the campers paid $120 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
Choices:
21%
26%
33.3%
35.89%
Answer: D
Question: What are the last two digits of 33*76*47*22*58*91?
Choices:
16
18
22
24
Answer: A
Question: The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
Choices:
1015
1022
1032
None of these
Answer: A
Question: A man has some hens and cows. If the number of heads be 50 and the number of feet equals 160, then the number of hens will be:
Choices:
23
24
20
28
Answer: C
Question: A and B play a game where each is asked to select a number from 1 to 16. If the two numbers match , both of them win a prize. Find the probability that they will not win a prize in a single trial.
Choices:
15/16
7/8
9/8
None of these
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 7 flight to return. In how many ways, can the boy perform his journey?
Choices:
28
43
45
80
Answer: A
Question: In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:
Choices:
38
40
42
52
Answer: A
Question: Find the value of x: x² - 4x + 4.
Choices:
2
-2
-4
0
Answer: A
Question: A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $5000 a day?
Choices:
90.33
168
216.67
400
Answer: C
Question: A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by 11. If it starts in 23rd position, at what position will it be after 2012 sec.
Choices:
2997
2977
1979
7112
Answer: D
Question: What is the decimal equivalent of (1/2)^2?
Choices:
0.0625
0.16
0.25
0.5
Answer: C
Question: A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 20 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
Choices:
1/3,600
9/2,000
1/40,000
1/15
Answer: C
Question: | x | + x^3 =0 solve x ?
Choices:
0
2
3
4
Answer: A
Question: In Plutarch Enterprises, 70% of the employees are marketers, 10% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Choices:
$130,000
$240,000
$370,000
$320,000
Answer: C
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
2:7
1:7
1:4
1:3
Answer: B
Question: If the operation @ is defined for all a and b by the equation a@b =(a/b)+(b/a) then (5@2)-3=?
Choices:
0.1
0.4
0.2
0.3
Answer: A
Question: If p and q are prime numbers, how many divisors does the product p^2 * q^5 have?
Choices:
10
12
15
18
Answer: D
Question: Four candidates contested an election and received 3408, 2500, 5050 and 3400 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
45.20%
40.25%
35.17%
50.24%
Answer: C
Question: Three times the first of three consecutive odd integers is 7 more than twice the third. The third integer is:
Choices:
11
13
15
19
Answer: D
Question: Which of the following will give a non-integer on taking cube root?
Choices:
–1
8
9
27
Answer: C
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
Rs.3300
Rs.3600
Rs.3900
Rs.4500
Answer: B
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 17 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Choices:
2
4
5
6
Answer: A
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 24 public schools, 16 parochial schools, and 10 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Choices:
3
4
5
6
Answer: A
Question: A 6 faced die is thrown. The probability that the die will land on the number 4 is what?
Choices:
1/6
1/12
1/4
1/5
Answer: A
Question: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Choices:
9/16
9/11
9/12
9/13
Answer: A
Question: A man goes downstream at 14 kmph, and upstream8 kmph. The speed of the stream is
Choices:
4kmph
16kmph
2.5kmph
3kmph
Answer: D
Question: A tap can fill a tank in 20 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
10 hrs 30 mins
12 hrs
12 hrs 30 mins
2 hrs 30 mins
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
Choices:
5120
6420
8960
None of these
Answer: A
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
Choices:
36
20
45
90
Answer: B
Question: John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?
Choices:
20 km/hr
24 km/hr
28 km/hr
32 km/hr
Answer: B
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20%
07%
50%
23%
Answer: A
Question: 1,3,5,7,9,.50 find term of sequnce
Choices:
1367
1789
1568
2500
Answer: D
Question: 1504 x 1504 = ?
Choices:
2262016
12000
2262000
2250016
Answer: A
Question: If the city centers of Tokyo and Madrid are 6683 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
Choices:
1.8 × 10^7
4.2 × 10^8
3.5 × 10^9
2.7 × 10^10
Answer: B
Question: Consider a sequence of numbers given by the expression 5 + (n - 1) * 3, where n runs from 1 to 85. How many of these numbers are divisible by 7?
Choices:
7
8
11
12
Answer: C
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
80
Answer: C
Question: If loss is 1/3 of S.P. the loss percentage is?
Choices:
30%
25%
40%
50%
Answer: B
Question: What least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6 ?
Choices:
3
6
10
11
Answer: C
Question: Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
Choices:
75 kgs
72 kgs
65 kgs
70 kgs
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 300 inclusive?
Choices:
155
200
205
210
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45
kmph, find the speed of the stream?
Choices:
19 kmph
15 kmph
11 kmph
13 kmph
Answer: B
Question: Given that 0 < a < b < c < d, which of the following the largest ?
Choices:
(c+d) / (a+b)
(c+d) / (k+b)
(c+d) / (g+b)
(c+d) / (a+s)
Answer: A
Question: If u r genius solve it:-
70 * 17 = 11
60 * 16 = 15
50 * 15 = ?
Choices:
12
6
8
10
Answer: A
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 15, whithout any of the digits repeating?
Choices:
81
100
96
120
Answer: D
Question: The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging :
Choices:
7.14%
8.87%
6.66%
None
Answer: A
Question: (4300431)-?=2535618
Choices:
1775123
1764813
1675123
None of them
Answer: B
Question: which no. need to add to 859622 to get a number exactly divisible by 456?
Choices:
547678
356789
778990
859622
Answer: D
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 11 o'clock in the morning?
Choices:
90°
160°
60°
120°
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
796 m
289 m
187 m
150 m
Answer: D
Question: How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
5 5/8 years
7 5/8 years
12 5/8 years
15 5/8 years
Answer: A
Question: 1 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
15/4 days
82/8 days
22/76 days
3/2 days
Answer: D
Question: The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
Choices:
24
48
36
16
Answer: A
Question: P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in --- days
Choices:
2
3
4
5
Answer: C
Question: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 35 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 35 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
Choices:
140
119
98
85
Answer: D
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
8 km
6 km
4 km
8 km
Answer: B
Question: A,B,C can do a piece of work in 20days, 30days and 40days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
Choices:
3days
5days
10days
7days
Answer: A
Question: In a city 100% votes are registered, in which 60% vote for congress and 40% vote for BJP. There is a person A, who gets 75% of congress votes and 8% of BJP votes. How many votes got by A?
Choices:
78.2 %
48.2 %
48.7 %
48.6 %
Answer: A
Question: A sum fetched a total simple interest of Rs. 2700 at the rate of 6 p.c.p.a. in 3 years. What is the sum?
Choices:
20000
18000
14000
15000
Answer: D
Question: If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
Choices:
16m
15m
14m
11m
Answer: A
Question: I gain 70 paise on Rs.70. My gain percent is
Choices:
1%
7%
10%
None
Answer: A
Question: Vinay spends 48% of his monthly income on household items, 22% of his monthly income on buying cloths, 5% of his monthly income on medicines and saves the remaining amount which is Rs. 10000. Find his monthly income.
Choices:
Rs. 48000
Rs. 50000
Rs. 45000
None of these
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:3
6:5
6:8
6:1
Answer: B
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 8 days. In how many days Peter complete the work separately.
Choices:
20 days
23 days
25 days
24 days
Answer: A
Question: The average (arithmetic mean) of eight numbers is 46.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Choices:
24.2
52.6
72.1
96.8
Answer: B
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many Q eggs does the plant process per day?
Choices:
300
400
3,000
4,000
Answer: B
Question: What is the least number which should be added to 2782 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choices:
32
38
46
52
Answer: B
Question: Bob starts out in his car traveling 30 mph. Four hours later, Mr. Speedster starts out from the
same point at 60 mph to overtake Bob. In how many hours will he catch him?
Choices:
4 hours
8 hours
2 hours
9 hours
Answer: A
Question: Speed of a goods train is 72 km/hr. This train crosses a 250 meter plaƞorm in 26 seconds. Then find
the length of goods train.
Choices:
260 meters
270 meters
280 meters
None of these
Answer: B
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Choices:
6
9
10
5
Answer: D
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
13 km/hr
12 km/hr
11 km/hr
10 km/hr
Answer: C
Question: 252 can be expressed as a product of primes as
Choices:
2 x 2 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
None of these
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
Rs.480
Rs.420
Rs.418
Rs.429
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
144556 m
153600 m
156680 m
167800 m
Answer: B
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. 58 ?
Choices:
2797
3944
1299
1082
Answer: B
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 140 students answered yes only for subject M, how many of the students did not answer yes for either subject?
Choices:
260
360
400
500
Answer: A
Question: In what time will a train 60 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.8 sec
7.5 sec
2.3 sec
1.5 sec
Answer: D
Question: In a 1000 m race, A beats B by 400 meters or 25 seconds. Find the speed of B?
Choices:
9
7
16
2
Answer: C
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Choices:
656
20
88
12
Answer: B
Question: 60 boys can complete a work in 40 days.how many men need to complete twice the work in 20 days
Choices:
170
180
190
240
Answer: D
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 4 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Choices:
4/75
8/75
3/5
4/5
Answer: B
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 190 m long?
Choices:
35 sec
44 sec
40 sec
50 sec
Answer: B
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 36m/h. what is the speed of the person while he was going to his office?
Choices:
9km/h
10km/h
11km/h
24km/h
Answer: D
Question: I'm building a wall out of square blocks (1 ft x 1 ft) and want the wall to be perfectly square. Currently the unfinished wall has a width of 50 feet and an area of 2000 square feet. How many more blocks do I need to add to make the wall a perfect square with the present width?
Choices:
10
50
500
150
Answer: C
Question: A sum of money at simple interest amount to Rs 720 after 2 years and to Rs 1020 after a further period of 5 years.The sum is:
Choices:
600
650
500
550
Answer: A
Question: A woman sold 300 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 5 for 85 cents. How many were sold at the first rate?
Choices:
21
9
15
12
Answer: C
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 15 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choices:
61%
75%
85%
95%
Answer: A
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
7/5 km
5/5 km
4/9 km
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
38%
30%
22%
Answer: A
Question: The ratio of pens to pencils is 5 to 6. There are 5 more pencils than pens. How many pencils are there?
Choices:
30
36
42
48
Answer: A
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 1 centimeter. The actual diameter of the tissue, in centimeters, is
Choices:
0.002
0.001
0.0005
0.0002
Answer: B
Question: If a certain sample of data has a mean of 22.0 and the value 40.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Choices:
7.15
3.25
3.0
2.75
Answer: A
Question: Find the cost price of an item if by selling at Rs.900, a profit of 20% is made?
Choices:
Rs.720
Rs.700
Rs.750
Rs.729
Answer: A
Question: Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 435m tall and the Petronas Towers is 445m tall?
Choices:
10
23
45
12
Answer: A
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 216 km downstream
Choices:
4 hours
3 hours
2 hours
8 hours
Answer: D
Question: he average of 30 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
29
10
30
8
Answer: A
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs.10123.08
Rs.10123.20
Rs.10123.22
Rs.10123.12
Answer: B
Question: If the quantity 2^2+ 2^4 + 2^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
Choices:
9
4
2
5
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 3 sec to pass a telegraph post, then the length of the train is?
Choices:
16 m
60 m
80 m
88 m
Answer: B
Question: If (2x + 1) times (x + 4) is an odd integer, then x must be:
Choices:
an odd integer
a prime number
a composite number
a negative integer
Answer: A
Question: If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
Choices:
5
3
2
6
Answer: B
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
Choices:
11
13
14
15
Answer: A
Question: In an IT company 35% of employees are given Development Department and 40% of employees are given Testing Department and 20% are given both.What is the probability for an employee is given Development or testing department
Choices:
85%
55%
5%
none of these
Answer: B
Question: Some amount out Rs.7000 was lent at 6% per annum and the remaining was lent at 4% per annum. If
the total simple interest from both the fractions in 5 years was Rs.1600, the sum lent of 6% per annum
was
Choices:
Rs. 2200
Rs. 2000
Rs. 1800
None of these
Answer: B
Question: The average of marks obtained by 120 boys was 37. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Choices:
110
120
130
140
Answer: A
Question: The sum of three digits a number is 17. The sum of square of the digits is 109. If we substract 495 from the number, the number is reversed. Find the number.
Choices:
8,3,6
2,2,2
3,3,4
1,3,4
Answer: A
Question: John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam one years ago?
Choices:
4
5
8
16
Answer: B
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Choices:
5/27
7/36
5/54
7/108
Answer: C
Question: A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 4 a.m.?
Choices:
24 Minutes
25 Minutes
26 Minutes
None of these
Answer: B
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio R of students per class?
Choices:
R=3
6
8
12
Answer: A
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
2.9 hrs
1.9 hrs
7.5 hrs
1.4 hrs
Answer: C
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 13 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
124.2%
104%
Answer: D
Question: If x = 1/q and y = (2/q) - 6, then for what value of q, x is equal to y ?
Choices:
1/6
6
3
2
Answer: A
Question: Due to 10% decrease in the price of sugar and John can buy 7kg more sugar in Rs100 , then find the CP of sugar?
Choices:
s. 1(37/63)
s. 2(1/9)
s. 3(2/7)
s. 4(2/9)
Answer: A
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each. The radius of the sphere is
Choices:
4 cm
6 cm
8 cm
None
Answer: C
Question: 70 + 5 * 12 / (180/3) = ?
Choices:
71
27
61
81
Answer: A
Question: If Rahul finds that he is 12th from the right in a line of boys and 4th from the left, how many boys should be added to the line such that there are 28 boys in the line?
Choices:
14
20
13
21
Answer: C
Question: A bag contains 7 black and 8 white balls. If two balls are drawn simultaneously, what is the probability that both are of the same color is?
Choices:
1/3
2/3
3/5
7/15
Answer: D
Question: S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product D of all the fractions that are in S?
Choices:
1) 1/20
3) 1/2
4) 19/40
5) 19/20
Answer: A
Question: A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
s.875
s.1007
s.1006
s.1002
Answer: A
Question: In a sheep farm, the sheep give birth to lamps and the count of sheep increases by 20% every year. How many years it will take to get the count tripled?
Choices:
3
4
5
6
Answer: D
Question: If a = -0.7, which of the following is true?
Choices:
a^2 < a < a^3
a < a^3 < a^2
a^3 < a < a^2
a^2 < a^3 < a
Answer: B
Question: A fair coin is tossed repeatedly. If heads appears on first 4 tosses what is the probability that tail appears on the next two tosses?
Choices:
1/5
1/3
1/4
1/6
Answer: C
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of B?
Choices:
2160
3018
3019
3012
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Choices:
23	2/9 m
27	7/9m
29 m
28 m
Answer: B
Question: If integers e and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. eb + b^2
II. (e + b)^2
III. e + b
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: Two buses and a van were employed to transport a class of students on a field trip. 4/5 of the class boarded the first bus. 2/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
Choices:
b) 26/30
c) 11/15
d) 23/30
e) 4/5
Answer: A
Question: 20 % of 2 is equal to
Choices:
0.4
0.6
0.7
0.9
Answer: A
Question: If |x| = |y| and xy < 0, which of the following must be true?
Choices:
x+y =-1
x+y =0
x+y =1
x+y =2
Answer: B
Question: A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Choices:
1/3
1/2
2/3
3/4
Answer: A
Question: A train 220 m long passed a pole in 22 sec. How long will it take to pass a platform 550 m long?
Choices:
77
43
67
29
Answer: A
Question: There are 2 groups named brown and red. They can n't marry in the same group. If the husband or wife dies then the person will revert to their own group. If a person is married then the husband will have to change his group to his wife's group. Children will own the mother's group. If man is red then his mother's brother belong to which group if he is married
Choices:
287
207
2768
112
Answer: A
Question: X does 80% of a work in 20 days. He then calls in Y and they together finish the remaining work in 3 days. How long Y alone would take to do the whole work?
Choices:
37 1/2
36
25
34
Answer: A
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 10 km apart, if they walk in the same direction?
Choices:
5hours
8hours
10hours
12hours
Answer: A
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 400 girls, the total number of students in the college is
Choices:
1040
980
720
820
Answer: A
Question: P can do a work in 48 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
Choices:
8
9
10
20
Answer: D
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 30 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Choices:
36%
40%
44%
48%
Answer: C
Question: What is the number?
I.
The sum of the two digits is 8. The ratio of the two digits is 1 : 3.
II.
The product of the two digit of a number is 12. The quotient of two digits is 3.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: B
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
2 litres
8 litres
3 litres
9 litres
Answer: A
Question: if a man earns Rs20 on first day and spends Rs15 on second day ,and earns Rs20 on third day and spends Rs 15 on fourth day and goes on on which day he will be having Rs 60.
Choices:
45Rs
50Rs
55Rs
60Rs
Answer: D
Question: A part-time employee whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
Choices:
13
17
20
33.33
Answer: D
Question: A number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: At Company X, senior sales representatives visit the home office once every 18 days, and junior sales representatives visit the home office once every 12 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
Choices:
25%
33%
50%
67%
Answer: C
Question: If the length of a rectangular field is 30 metres more than its breadth and the perimeter of the field is 540 metres, what is the area of the field in square metres?
Choices:
18000
31000
19000
16000
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.400 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: B
Question: In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 3,087,000, how many red beads were removed?
Choices:
2
3
4
5
Answer: B
Question: Each of the squares above is to have exactly one letter and nothing else placed inside it. If 3 of the letters are to be the letter X, 2 of the letters are to be the letter Y, and 1 of the letters is to be the letter Z, in how many different arrangements can the squares have letters placed in them?
Choices:
60
108
120
150
Answer: A
Question: If j and k are integers and j^2 / k is odd, which of the following must be true ?
Choices:
j = k
If j is even, k is even
j is divisible by k
j^2 > k
Answer: B
Question: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 15% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Choices:
13% less than N
equal to N
20% greater than N
25% greater than
Answer: A
Question: If a survey shows that 60 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
70%
72%
82%
86%
Answer: A
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3 grams
873 1/3 grams
733 1/3 grams
837 1/3 grams
Answer: A
Question: A straight line in the xy- plane has y-intercept of 17 . If the slope is half its y-intercept, and the x-coordinate of the point in this line is 7, find the y-coordinate.
Choices:
34
76.5
75.6
74.3
Answer: B
Question: There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
Choices:
5
13
20
4
Answer: A
Question: The perimeter of a triangle is 40 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
88
66
55
50
Answer: D
Question: In ΔPQS above, if PQ =2 and PS = 3, then
Choices:
3/2
16/5
15/4
20/3
Answer: A
Question: A train running at a speed of 60 kmph crosses a pole in 12 seconds.What is the length of the train?
Choices:
200 m
190 m
150 m
160 m
Answer: A
Question: In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
Choices:
3628800
3628812
3428800
3368800
Answer: A
Question: In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th and 15th terms in sequence S?
Choices:
9(2^15)
21(2^14)
9(2^14)
9(2^13)
Answer: D
Question: Express a speed of 342 kmph in meters per second?
Choices:
59 mps
79 mps
90 mps
19 mps
Answer: C
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to m% of stall’s revenue and accounted for n% of sales of juice tetra packs. Which of the following expresses m in terms of n?
Choices:
200n/(250-n)
200n/(300-n)
250n/(400-n)
300n/(500-n)
Answer: B
Question: A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 25 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choices:
8250
10,450
11,550
12,650
Answer: A
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 120 units?
Choices:
40 hours
15 hours
12 hours
8 hours
Answer: B
Question: The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B?
Choices:
4:1
2:1
1:2
1:21
Answer: A
Question: The value of log2 16 is
Choices:
4
8
16
17
Answer: A
Question: A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Choices:
Rs 662.01
Rs 662.02
Rs 662.03
None of these
Answer: B
Question: If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1480 will be:
Choices:
Rs. 200
Rs. 240
Rs. 400
None of these
Answer: C
Question: A,B,C and D play a game of cards. A says to B "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has". If B and D together have 50 cards, how many cards have A got?
Choices:
40
23
27
29
Answer: A
Question: How many mashes are there in 1 squrare meter of wire gauge if each mesh
is 8mm long and 5mm wide ?
Choices:
25000
250
250000
25
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
23 years
25 years
None of these
18 years
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
10 sec
13 sec
67 sec
13 sec
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
232
223
426
111
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 650 grams per kg, what is his percent?
Choices:
25%
65%
53.8%
35%
Answer: C
Question: If r and b are positive numbers, and r^3 + b^3 = 75, then the greatest possible value of r is between:
Choices:
3 and 5
4 and 5
5 and 7
6 and 9
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.75
7
5
Answer: A
Question: If two integers x,y (x>y) are selected from -4 to 4 (inclusive), how many cases are there?
Choices:
30
33
36
39
Answer: C
Question: Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Choices:
1456
1567
3334
2346
Answer: C
Question: In the third grade of Windblown School there are 84 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
Choices:
0.
8.
10.
12.
Answer: A
Question: At The KHOOL Company, high quality and low quality solar reflecting sunglasses are made, where 70 percent of the sunglasses made are high quality and 25 percent are low quality (defective sunglasses are tossed away into the recycle bin, but must be counted as product produced). If there are 50 sunglasses made per day that are defective and can't be sold as low or high quality sunglasses, how many sunglasses does The KHOOL Company make total per day?
Choices:
1,800
1,090
200
1,000
Answer: D
Question: A boat can move upstream at 30 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
2.5
7
4
32
Answer: A
Question: Ram and Shyam can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Choices:
28
27
26
25
Answer: D
Question: Find the missing in the series: 70, 54, 44, 41,___
Choices:
287
2679
2767
277
Answer: D
Question: If y is the smallest positive integer such that 8820 multiplied by y is the square of an integer, then y must be
Choices:
5
6
7
14
Answer: A
Question: A certain high school has 500 students. Of these students, 30 are taking music, 10 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Choices:
440
450
460
470
Answer: D
Question: A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. how many times can it go round a cylinder having radius 20 cm?
Choices:
49 rounds
54 rounds
52 rounds
None of these
Answer: A
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48
27
21
20
Answer: A
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22,20,27,23 (....)
Choices:
20
22
24
26
Answer: D
Question: In measuring the sides of a rectangle, one side is taken 16% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
Choices:
2.4%
10.2%
5%
2.6%
Answer: B
Question: The sale price shirts listed f or Rs.400 after successive discount is 10% and 5% is?
Choices:
290
Rs.342
250
253
Answer: B
Question: Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
Choices:
240/1527
240/1547
240/1518
240/1273
Answer: B
Question: In a certain parking lot, 10% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
Choices:
40%
50%
60%
70%
Answer: B
Question: There are 12 red shoes, 7 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
12/19
15/19
14/19
2/3
Answer: A
Question: If inflation increases at a rate of 8 p.c.p.a. what will a 20 article cost at the end of two years?
Choices:
Between 21 and 22
Between 22 and 23
Between 23 and 24
None of these
Answer: C
Question: If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Choices:
22 3/2 %
21 3/7 %
22 1/2 %
22 1/2 %
Answer: B
Question: Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pencil.
Choices:
11
12
13
14
Answer: B
Question: The remainder obtained when a prime number greater than 4 is divided by 4 is
Choices:
a) 1 or 3
c) 3 or 5
d) 4 or 5
e) 5
Answer: A
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
184
269
177
191
Answer: A
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value J?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: It takes 35 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
Choices:
14
16
18
20
Answer: A
Question: Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
Choices:
$12,000
$15,000
$ 4,500
$4,000
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
1/5
2/5
3/7
4/9
Answer: B
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
178 Kmph
172 Kmph
108 Kmph
109 Kmph
Answer: C
Question: The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 72, what is the value of x?
Choices:
4
5
6
7
Answer: D
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?
Choices:
134561 m
156787 m
15450 m
153600 m
Answer: D
Question: A rectangular tiled patio is composed of 30 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 30 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
5
10
13
28
Answer: A
Question: If 1+2+3+...+n=n (n+1), then
2 (1+3+5+....+89)=?
Choices:
4050
4250
4350
4450
Answer: A
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:
176 m
872 m
150 m
765 m
Answer: C
Question: There are 9 days of school left. Cassie has $50. How much money does Cassie's mom need to give her in order for Cassie to spend $6 on lunch for each of the nine remaining school days?
Choices:
$2
$4
$6
$8
Answer: B
Question: John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
23.8%
66.5%
34.9%
43.5%
Answer: B