antoine-444/aqua_rat_dataset huggingface dataset:
Question: Which of the following is equal to the average (arithmetic mean) of (y+4)^2 and (y-4)^2?
Choices:
x^2+2
x^2 +12
x^2+21
y^2+16
Answer: D
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
50011
50077
50027
Answer: A
Question: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Choices:
55
45
25
35
Answer: D
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.00. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
Choices:
$1.96
$2.00
$2.15
$2.30
Answer: A
Question: What will be the fraction of 4%
Choices:
1/50
1/75
1/25
None of these
Answer: C
Question: In an election between two candidates, the first candidate got 70% of the votes and the second candidate got 240 votes. What was the total number of votes?
Choices:
800
1000
1100
1200
Answer: A
Question: If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $50000. What was her actual salary after the raise?
Choices:
58,806
49,090
59,400
61,620
Answer: B
Question: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Choices:
120
298
112
129
Answer: A
Question: [( 3.242 x 16 ) / 100] = ?
Choices:
4.5388
0.051872
473.88
None of these
Answer: B
Question: How many prime numbers between 1 and 100 are factors of 10010?
Choices:
5
3
2
1
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
Choices:
16
26
17
11
Answer: C
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of three metres is left from all sides of the boundary of the garden. What is the length of the garden?
Choices:
24
26
28
30
Answer: C
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
375
279
278
268
Answer: A
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
194
364
Answer: D
Question: here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 81 and 92 respectively. the average of the whole class is 86, what is the value of x?
Choices:
b) 7
c) 8
d) 10
e) 12
Answer: C
Question: The perimeter of a polygon with sides of integer length is 45. If the smallest side of the polygon is 5 and the longest side of the polygon is 10, then the number of sides could be any number from
Choices:
5 to 8
5 to 9
6 to 8
6 to 9
Answer: A
Question: A train 75m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
40kmph
45kmph
50kmph
55kmph
Answer: A
Question: If shares of two persons in profits are Rs.400 and Rs.1200 then ratio of their capitals is
Choices:
2:3
4:3
1:3
1:2
Answer: C
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
Choices:
9 a.m
7 a.m
6 a.m
5 a.m
Answer: A
Question: A,B,C together can do a work in 16 days. A alone can do the work in 64 days and B alone can do the same work in 80 days. Find in what time C alone can do that work?
Choices:
29.50days
33.59days
29.09days
38.80days
Answer: C
Question: A baseball card decreased in value 20% in its first year and 20% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
30%
32%
36%
72%
Answer: C
Question: Dividing by 3⁄8 and then multiplying by 5⁄9 is the same as dividing by what number?
Choices:
16⁄5
20⁄9
40/27
5⁄16
Answer: C
Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Choices:
20
30
50
None
Answer: A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Choices:
7:8
7:4
7:6
7:1
Answer: C
Question: When the integer z is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2z
II. 6z
III. 4z + 6
Choices:
II only
III only
I and II only
I, II, and III
Answer: D
Question: A certain lab experiments with white and brown mice only. In one experiment, 4/9 of the mice are brown. If there are 20 brown mice in the experiment, how many mice in total are in the experiment?
Choices:
26
36
28
24
Answer: B
Question: The sides of a rectangular region measured to the nearest centimeter are 9 cm and 6 cm. Out of the following which is the largest possible value of actual area of rectangle ?
Choices:
55.25
52.29
59.66
41.25
Answer: C
Question: How many halves are there in six-fourth?
Choices:
12
32
7
3
Answer: D
Question: Mudit's age 26 years hence will be thrice his age four years ago. Find Mudit's present age?
Choices:
22
19
18
15
Answer: B
Question: What is the unit digit of (6!*6! / 6!*3!)?
Choices:
0
2
3
4
Answer: A
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 350 more than A :
Choices:
10150
2767
1998
2771
Answer: A
Question: What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?
Choices:
3
7
9
1
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/1%
33 1/3%
33 2/3%
32 1/3%
Answer: B
Question: One boy forgot the last digit of a 7 digit no. If he randomly dialthe final 3 digits aftercorrectly dialing the 1st 4, then what is the chance of dialing the correct no.?
Choices:
2/465
1/1000
1/3453
2/1454
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
88
66
55
35
Answer: D
Question: The average length of 6 bars is 80 cm. If the average length of one third of the barsis 70 cm, what is the average of the other bars?
Choices:
85.
90.
94.
100.
Answer: A
Question: Two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km/hr and 100 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
106
107
108
109
Answer: C
Question: A person has in is bag 14 notes of Rs. 10 each, 9 notes of Rs. 5 each, 4 notes of Rs. 2 each and 7 notes of Re 1 each. In how many different ways can be contribute to a charitable find?
Choices:
5999
3528
600
700
Answer: A
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.14 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1680
2832
1299
1236
Answer: A
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/9
17 1/7
17 1/5
17 1/1
Answer: B
Question: In a forest 250 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,500
2,500
Answer: D
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 5p, in terms of p?
Choices:
2p
5p
7p
p^2
Answer: B
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.57. How much did the meal cost without the tip?
Choices:
$31.80
$30.15
$30.60
$30.85
Answer: A
Question: A, B and C started a partnership business by investing Rs.27000, Rs.72000, Rs.81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Choices:
60000
80000
90000
50000
Answer: B
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
135
155
175
195
Answer: C
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 10 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
10 litres
30 litres
20 litres
8 litres
Answer: C
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and white. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
Choices:
14
18
19
20
Answer: C
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 30 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Choices:
Revenue decreases by 1%
There is no change in revenue
Revenue increases by 17%
Revenue increases by 10%
Answer: C
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 28% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choices:
30%
50%
55%
75%
Answer: A
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 6 buckles is how many times that of 5 buckles and 6 buttons?
Choices:
2/5
8/15
3/5
11/15
Answer: D
Question: Calculate the ratio between x and y if 80% of x equal to 20% of y?
Choices:
3 : 1
4 : 5
4 : 3
4 : 1
Answer: D
Question: The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seat is
Choices:
1440
5040
None of these
Cannot be determined
Answer: A
Question: A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
Choices:
10 p.m
11 p.m
12 p.m
none
Answer: B
Question: There are 8 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
64
Answer: C
Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
Choices:
395
400
425
482
Answer: B
Question: Last year, sales at Company Zora were 10% greater in February than in January, 10% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan?
Choices:
March
May
June
February
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
49%
40%
70%
90%
Answer: B
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,40,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.50000
Rs.60000
Rs.80000
None of these
Answer: C
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a seven-percent vinegar solution, what was the concentration of the original solution?
Choices:
17%
36.17%
15.5%
12.5%
Answer: B
Question: In what time will a train 175 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.91 sec
4.37 sec
2.9 sec
1.8 sec
Answer: B
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Choices:
16/19
4/5
17/20
3/5
Answer: C
Question: What is the equation of the line that goes through (–2, 3) and (5, –4)?
Choices:
y = –x + 1
y = –3x/7 + 15/7
y = –4x/3 + 1/3
y = 9x/5 + 33/5
Answer: A
Question: In a certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children?
Choices:
7/18
17/18
6/18
11/18
Answer: D
Question: If g > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - g) =
Choices:
1/3
1/2
3/4
1
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 45 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
80
120
144
240
Answer: A
Question: One hour after Yolanda started walking from X to Y, a distance of 24 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
Choices:
23
22
21
12
Answer: D
Question: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?
Choices:
-2
-1
0
3
Answer: B
Question: The population of a town is 189400. If it increase at the rate of 6% per annum. What will be its population for 2years hence?
Choices:
215600
194582
212809
215460
Answer: C
Question: a,b,c,d,e,f,g,h sitting in a row what is the probability that a,b,c sitting together?
Choices:
5/28
3/28
1/7
9/28
Answer: B
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2.5 cms, How much did it rain on Wednesday?
Choices:
10.5
8.75
10.1
10.6
Answer: B
Question: Rs. 1100 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
992
400
552
312
Answer: B
Question: If n = 9^11 – 9, what is the units digit of n?
Choices:
0
4
6
8
Answer: A
Question: Solve below question 6x - 1 = -13
Choices:
-2
-5
-4
1
Answer: A
Question: Cars M and N are approaching each other on the same highway. Car M is moving at 55 mph northbound and Car N is moving at 65 mph southbound. At 2:00 pm, they are approaching each other and 195 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 45 miles apart?
Choices:
4:00 pm
4:54 pm
5:21 pm
6:00 pm
Answer: A
Question: in a party 65% of women wearing black tshirts 50% of the total people in party wearing black t shirts ,then what is the ratio of male is to female.35% of the man wearing black t shirs. There are 120 people in the party.
Choices:
1:1
1:3
1:4
1:5
Answer: A
Question: The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Choices:
2
5
7
3
Answer: C
Question: This is how Edward’s Lotteries work. First, 8 different numbers are selected. Tickets with exactly 5 of the 8 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 5 numbers drawn from the 8 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?
Choices:
8P3
9C9
8C6
8C5
Answer: D
Question: A garment company declared 15% discount for whole sale buyers. Mr Sachdev bought garments from the company for 25,000 after getting discount. He fixed up the selling price of garments in such a way that he earned a profit of 8% on original company price. What is the approximate total selling price?
Choices:
29,000
32,000
28,500
29,500
Answer: B
Question: One-third of 1206 is what percent of 134 ?
Choices:
30
300
None of these
cannot be determined
Answer: B
Question: Winson traveled the entire 60 miles trip. If he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Choices:
24mph
30mph
32mph
40mph
Answer: D
Question: If $1000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
1000n(x/100)
10,000n(x/100)
10,000(1+x/100)^n
10,000n(1+x/100)
Answer: A
Question: Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choices:
3
2
5
6
Answer: C
Question: A lacrosse team plays games only against the other five teams in its league and always in the following order: Smiley, Ranch, Broad, Thomas and Jake. If the team’s final game of the season is against Thomas, which of the following could be the number of games in the team’s schedule?
Choices:
72
56
24
81
Answer: C
Question: The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
Choices:
469
400
750
560
Answer: C
Question: R campers fished for 7 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
Choices:
(2m + n(R-m))/3
(2m + n(m-R))/3
(2m + n)/7
(2m + n)/R
Answer: C
Question: The number of multiples of 10 which are less than 1000, which can be written as a sum of four consecutive integers is
Choices:
50
88
76
18
Answer: A
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 14 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
13.5
14
14.5
15
Answer: D
Question: In how many ways a committee, Consisting of 2 men and 3 women can be formed from 8 men and 10 women?
Choices:
3360
11760
5040
720
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12
111.15
111.13
191.18
Answer: A
Question: Vijay says that his weight is between 75kg and 85 kg. But his younger sister disagrees with Vijay and says that his weight is greater than 70kg but less than 80 kg. Vijay’s mother says that his weight cannot be greater than 78 kg. If all the three predictions are correct, what is the average of different probable weights of Vijay?
Choices:
76.5
82.3
28.3
28.1
Answer: A
Question: In a bank 60 percent employees are men.80%men and 20%women belong to retirement plan.what percent of people belong to retirement plan?
Choices:
57%
56%
58%
59%
Answer: B
Question: A contractor isengaged for 30days on the condition that he receives Rs.25 for eachday he works & fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
Choices:
10
15
17
21
Answer: A
Question: On a dinner date, a couple is sitting around a circular table. Their seating arrangement is considered different only when the position of the couple is different relative to each other. what is the total number of possible seating arrangement for the couple?
Choices:
b.10
c.24
d.1
e.120
Answer: C
Question: Evaluate combination
12C4
Choices:
1000
10
495
0
Answer: C
Question: What is the least number that should be added to 1076, so the sum of the number is divisible by 23?
Choices:
2
3
4
5
Answer: D
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
277
208
860
281
Answer: C
Question: Dick and Jane each saved $2,500 in 1989. In 1990 Dick saved 9 percent more than in 1989, and together he and Jane saved a total of $5200. Approximately what percent less did Jane save in 1990 than in 1989?
Choices:
1%
6%
8%
9%
Answer: A
Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Choices:
17 : 18
21 : 22
25 : 22
Cannot be determined
Answer: B
Question: A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?
Choices:
2/3
3/7
3/11
None
Answer: B
Question: A certain sum amounts to Rs.2250 in 5 years and Rs.2550 in 7 years. Find the rate % per annum?
Choices:
10%
9%
8%
7%
Answer: A
Question: Among 200 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Choices:
60
120
172
188
Answer: A
Question: In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 282, what is the smallest term in the sequence?
Choices:
-2
0
8
9
Answer: D
Question: power windows: 60%
anti-lock brakes: 25%
CD player: 55%
The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
Choices:
18
11
3
0
Answer: A
Question: A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
Choices:
44%
54%
64%
None of these
Answer: C
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 6 times, what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips?
Choices:
1/16
1/32
1/64
1/128
Answer: C
Question: What is the least number of digits (including repetitions) needed to express 10^200 in decimal notation?
Choices:
a) 201
c) 101
d) 1000
e) 1001
Answer: A
Question: 00
a3
+4b
___
96
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Choices:
43
45
43
46
Answer: A
Question: Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
Choices:
2 times
2 3/4 times
3 times
4 times
Answer: A
Question: A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
Choices:
77
21
77
88
Answer: B
Question: A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
Choices:
1/6
1/8
2/7
2/11
Answer: A
Question: If A:B = 1/6: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:8
9:18:12
9:6:4
9:6:1
Answer: B
Question: Yesterday it took Robert 6 hours to drive from City A to City B. Today it took Robert 4.5 hours to drive back from City В to City A along the same route. If he had saved 30 minutes in both trips, the speed for the round trip would be 90 miles per hour. What is the distance between city A and city B?
Choices:
120
150
440
430
Answer: D
Question: What annual installment will discharge a debt of Rs. 1092 due in 3 years at 12% simple interest?
Choices:
345
325
335
None of them
Answer: B
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $580. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $800. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
$12.50
$11.50
$16.50
$9.50
Answer: A
Question: 20% of a number is added to 120, the result is the same number. Find the number?
Choices:
288
270
129
150
Answer: D
Question: P has $32 more than what Q and R together would have had if both B and C had 1/6 of what P has. How much does P have?
Choices:
$48
$52
$56
$60
Answer: A
Question: What is the difference between the place value and face value of 3 in the numeral 1375?
Choices:
290
297
333
340
Answer: B
Question: The sum of two numbers is 12 and the product of the numbers is 35. Find sum of the squares of that numbers.
Choices:
87
96
79
74
Answer: D
Question: What least number must be subtracted from 3832 so that the remaining number is divisible by 5?
Choices:
2
3
4
5
Answer: A
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:
635.5
635.512
635.51
635.53
Answer: A
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choices:
5%
8%
10%
14%
Answer: A
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
29 minutes
70 minutes
17 minutes
98 minutes
Answer: B
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 2/5, what is the probability that Taylor makes exactly one basket in three tries?
Choices:
36/125
30/125
30/140
36/140
Answer: A
Question: If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 9 € (4 € 5) =
Choices:
720
760
840
860
Answer: A
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent.
Choices:
100/23%
100/19%
100/4%
None of these
Answer: C
Question: An advertising agency finds that, of its 150 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choices:
70
50
98
95
Answer: B
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Choices:
400
441
484
900
Answer: B
Question: For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability W that the integer drawn is divisible by 8?
* A solution will be posted in two days.
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: 31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 16 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?
Choices:
B)18
C)24
D)27
D)36
Answer: C
Question: If y = 20! + 17, then y is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
I only
II only
I and II
II and II
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
40/3
40/9
40/2
40/1
Answer: A
Question: The sum of even numbers between 1 and 31 is
Choices:
128
240
512
None
Answer: B
Question: Every student at Warcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Warcy School?
Choices:
69
74
82
86
Answer: D
Question: Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 25 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Choices:
5
6
16
24
Answer: A
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 157 per Kg , the price of the third variety per Kg will be?
Choices:
Rs. 785.50
Rs. 179.50
Rs. 258.50
None of these
Answer: B
Question: A shopkeeper has 280 kg of apples. He sells 35% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
25%
26%
28%
35%
Answer: A
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $7.00 each, what was Company C’s gross profit?
Choices:
$2,500
$1,600
$1,250
$1,500
Answer: B
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 42 kms in 3 hrs. In what time would it cover the same distance upstream?
Choices:
6 hours
4.2 hours
5 hours
6 hours
Answer: B
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Choices:
8% decrease in revenue
6% decrease
1% decrease
2% decrease
Answer: A
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
Choices:
29%
33%
35%
37%
Answer: A
Question: If y = x^2 + d x + 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9
Choices:
II only
I and II only
II and III only
I and III only
Answer: B
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.16.80 less, he would have gained 30%. Find the cost of the article.
Choices:
40
50
60
80
Answer: D
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for S to be in the position where U is now shown. The number of degrees through which RSTU is rotated is
Choices:
180 degree
225 degree
270 degree
315 degree
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
3
6
9
12
Answer: A
Question: 361, 289, 225, 169, 121, ?
Choices:
49
64
81
100
Answer: B
Question: Shri Prakash walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?
Choices:
50 m, West
10 m, East
10 m, West
None of these
Answer: A
Question: James was hiking on a 10-mile loop trail at a rate of 2 miles per hour. Two hours into James’ hike, John started hiking from the same starting point on the loop trail at 4 miles per hour. What is the shortest time that John could hike on the trail in order to meet up with James?
Choices:
1 hour
2 hours
3 hours
4 hours
Answer: A
Question: A reduction of 20% in the price of oil enables a house wife to obtain 4kgs more for Rs.684, what is the reduced price for kg?
Choices:
27
34
28
20
Answer: B
Question: Five persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Choices:
1296
1540
7776
360
Answer: C
Question: Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=24, what is the maximum value of y for which f(x,y)=0?
Choices:
15
18
20
21
Answer: C
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Choices:
25
26
32
34
Answer: A
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 90% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
83.
81
91
108
Answer: A
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between W the highest and the lowest incentive received by the 5 salesmen in the month?
Choices:
$5000
$9000
$11,000
$13,000
Answer: C
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 7 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:
24 years
25 years
26 years
27 years
Answer: B
Question: A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
10 kmph
5 kmph
8 kmph
7 kmph
Answer: A
Question: Apple,INC recently conducted a survey and found that 50,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of Apple,INC customers live in urban areas ?
Choices:
150,000
360,000
480,000
540.0
Answer: A
Question: The present age of the father is 4years more than 4 times the age of his son. 4 years hence, father's age will be 20 years more than twice the age of the son. Find the present age of the father?
Choices:
56
45
36
44
Answer: D
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8700. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
s.3700
s.4500
s.4550
s.2500
Answer: A
Question: Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?
Choices:
43 and 77
47 and 66
44 and 56
44 and 66
Answer: D
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Choices:
12,7
7, 14
13,12
12,8
Answer: A
Question: From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is
Choices:
50% pure
51.2% pure
58.8% pure
None
Answer: B
Question: If Y is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of Y?
Choices:
162
72
51
50!+2
Answer: A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
26888
2899
17600
12778
Answer: C
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
12.9 sec
13.9 sec
16.8 sec
12.3 sec
Answer: C
Question: What is the least number which when divided by 7, 9, 12 and 18 leaves remainder 4 in each care?
Choices:
240
236
256
266
Answer: C
Question: How many multiples of 10 are there between 10 and 290 ?
Choices:
18
27
51
60
Answer: B
Question: Solve This
5 + 4 + 1 = 145
8 + 2 + 3 = 328
9 + 6 + 5 = 569
4 + 0 + 2 = 204
Then, 7 + 7 + 4 = ???
Choices:
417
477
427
584
Answer: B
Question: The length E of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choices:
Decreases by 25%
Increases by 6%
Increases by 19%
Increases by 25%
Answer: C
Question: P can do a work in 24 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
11
Answer: C
Question: Eight friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $480. If one of the friends had a coupon for 25% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
$70
$45
$37
$35
Answer: B
Question: Four person are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is
Choices:
1/5
1/12
10/21
4/6
Answer: C
Question: Find the mean proportional between 64 & 81?
Choices:
B)61
C)63
D)72
E)67
Answer: C
Question: The product of the prime integers between 43 and 50, inclusive, is:
Choices:
99,029
2,303
2,021
2,000
Answer: D
Question: Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 2?
Choices:
B)2
C)4
D)8
E)16
Answer: A
Question: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points N is in the same quadrant as the fourth vertex of the square?
Choices:
(-5, 3)
(5, -3)
(3, -5)
(3, 5)
Answer: D
Question: 0.05 x 0.0173 is equal to:
Choices:
8.65 x 10(power -4)
4.68 x 10(power -4)
5.48 x 10(power -4)
None of them
Answer: A
Question: A loan of Rs.700 is made at 9.5% simple interest for 4 months. How much interest is owed when the loan is due?
Choices:
22.167
24.167
25.167
26.167
Answer: A
Question: If a number is 30% more than the another, how much % is the smaller number less than the first ?
Choices:
23%
16(1/3)%
17%
none of these
Answer: A
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 10,800, then what is B's share in the profit?
Choices:
Rs. 2000
Rs. 4000
Rs. 5000
None of these
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
12
66
88
94
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 9:30 am. They shall first cross each other at ?
Choices:
7:30 am
9: 42 am
7:50 am
7:60 am
Answer: B
Question: a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer?
Choices:
a/b + c/d
(a + c)/(b + d)
(abc)/d
(acd)/b
Answer: B
Question: In a card game, a combination of three queens beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Choices:
1/5550
1/5600
1/5555
1/5525
Answer: D
Question: The probability that a number selected at random from first 50 natural numbers is a composite number is
Choices:
17/25
4/25
8/25
10/25
Answer: A
Question: If x^4 + y^4 = 20, then the greatest possible value of x is between:
Choices:
0 to 2
4 to 6
6 to 8
8 to 10
Answer: A
Question: Find the value of 1.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
Choices:
500
900
1200
None
Answer: C
Question: Sahil purchased a machine at Rs 11000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
Choices:
Rs. 25500
Rs. 26000
Rs. 28000
None of these
Answer: A
Question: A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
Choices:
16:10
16:15
16:11
16:12
Answer: B
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number?
Choices:
15
18
None of these
Cannot be determined
Answer: A
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
239m
236m
240m
230m
Answer: D
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 25%. What quantity of whisky is replaced ?
Choices:
2/3
2/5
3/5
4/5
Answer: B
Question: Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train. starts at the same time towards the other train. as soon as it reaches the second one, it flies back to the first train and so on and so forth. It continues to do so, flying backwards and forwards from one train to the other until the trains meet.
Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour.
How many miles will the falcon have flown before the trains meet?
Choices:
100 miles
107 miles
230 miles
321 miles
Answer: A
Question: The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (a) around the mirror, which of the following could be the value, in inches, of a ?
I. 2
II. 3 1/2
III. 5
Choices:
III only
I and II only
I and III only
I, II, and III
Answer: D
Question: The edges of a cuboid are 2 cm, 5 cm and 8 cm. Find the volume of the cuboid?
Choices:
80
40
120
70
Answer: A
Question: There are x numbers in list L, where x is a positive integer, and there are y numbers in list M, where y is a positive integer. The average (arithmetic mean) of the numbers in list L is p, and the average of all the numbers in both lists L and M is q. Which of the following expressions is the average of the numbers in list M?
Choices:
(qy - px) / y
(p + q)x / y
[(q - p)x - py] / (x + y)
[(q - p)x + qy] / y
Answer: D
Question: In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = g is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-g, -k), then what are the coordinates of the point P?
Choices:
(-3g, -3k)
(2g, 2k)
(3g, 3k)
(5g, 5k)
Answer: C
Question: If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the longer sides?
Choices:
7
8
13
26
Answer: C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
2776
3777
8112
2887
Answer: C
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 6 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
63(62^5)
63(62^6)
Answer: C
Question: What will come in place of the x in the following Number series? 12, 38, 116, x,
Choices:
350
3456
7554
3158
Answer: A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/7
1/8
1/4
2/1
Answer: A
Question: How many numbers between 300 and 500 begin or end with 3?
Choices:
60
100
110
120
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/412
1/129
1/410
Answer: A
Question: 6 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
5 kmph
6.25 kmph
7.5 kmph
7.8 kmph
Answer: A
Question: How much does a watch lose per day, if its hands coincide every 64 minutes?
Choices:
32 8⁄11 min.
90 min.
96 min.
None of these
Answer: A
Question: The milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
750
5625
5635
Answer: C
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
Choices:
4 days
8 days
5 days
43 days
Answer: A
Question: The population of 6 villages is 803,900,1100,1023,945 and 980.what is the population of the seventh village if the average population of the seven villages is 1000?
Choices:
1238
1348
1500
1249
Answer: D
Question: a, b, c, d are positive integers such that exactly one of the following inequalities is false. Which inequality is false?
Choices:
c<d
a+c<b+c
a+c<b+d
a<b+c+d
Answer: A
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100?
Choices:
12
15
22
24
Answer: C
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
Rs.2400
Rs.3600
Rs.6000
Rs.7000
Answer: A
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {12} + {10}?
Choices:
20
13
5
2
Answer: B
Question: The length of a rectangle is twice its breadth. If its lengthis decreased by 5cm & breadth is increased by 5cm, the area of the rectangle is increased by 75sq.cm. What is the length of the rectangle?
Choices:
30 cm
40 cm
45 cm
60 cm
Answer: B
Question: A batsman scored 120 runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets?
Choices:
58.33%
600/11
55
35
Answer: A
Question: If |x^2 − 2| = x, which of the following could be the value of x?
Choices:
-1
0
1
4
Answer: C
Question: If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Choices:
I ​only
I​ and II
I, II, and III
None
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 6-percent sugar solution to get a 10-percent solution?
Choices:
20
24
26
28
Answer: A
Question: log3 N+log12 N what is 3 digit number N that will be whole number
Choices:
7292
1728
1929
1727
Answer: B
Question: Set X consists of all two-digit primes and set Y consists of all positive multiples of 4 less than 100. If the two sets are combined into one, what will be the range of the new set?
Choices:
93
90
92
95
Answer: A
Question: A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?
Choices:
200.
190.
180.
170.
Answer: A