antoine-444/aqua_rat_dataset huggingface dataset:
Question: Find the C.I. on Rs. 15,625 for 9 months at 16% per annum compounded quarterly?
Choices:
Rs.1979
Rs.1951
Rs.1968
Rs.1929
Answer: B
Question: Kiran, an eight years old boy has 27 toys. He gave 19 toys to his brother Gourav, while Gourav playing all but 6 got destroyed. While Kiran playing all but 3 got destroyed. Finally how many toys left with both of them?
Choices:
9
8
76
2
Answer: A
Question: What is the units digit of (5!*5! + 6!*5!)/3?
Choices:
3
2
1
0
Answer: D
Question: A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Choices:
2 days.
4 days.
1 days.
6 days.
Answer: D
Question: (x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. 3
II. -4
III. 8
IV. 5
Choices:
I and II only
II and III only
II and IV only
I, II, III, and IV
Answer: A
Question: If x < 0 and 0 < y < 1, which of the following has the greatest value W?
Choices:
(xy)^2
(x/y)^2
x^2/y
x^2*y
Answer: B
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
25
40
46
48
Answer: B
Question: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
Choices:
10
15
17
20
Answer: D
Question: In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and chuck are not seated next to each other?
Choices:
72
56
76
96
Answer: A
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is :
Choices:
8 months
9 months
10 months
None
Answer: C
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
537 m
500 m
846 m
536 m
Answer: B
Question: Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is
Choices:
Rs. 4250
Rs. 4128
Rs. 4988
Rs. 4192
Answer: A
Question: A taxi driver states that his cab number is divisible by the no 2,3,4,5,6 with a remainder of 1 and when the number is divided by 11 it does not give any remainder
Choices:
11
121
111
131
Answer: B
Question: Company S produces two kinds of radios: basic and deluxe. Of the radios produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe radio as it does to produce a basic radio, then the number of hours it took to produce the deluxe radio last month was what fraction of the total number of hours it took to produce all the radios?
Choices:
7/17
8/17
6/17
3/4
Answer: A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 12 seconds. What is the speed of the train is?
Choices:
76 kmph
120 kmph
43 kmph
40 kmph
Answer: B
Question: John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
2/5
3/10
7/20
probability= 8/45
Answer: D
Question: One student to pass the subject as probability 1/4. another man to get driving licence and student passed subject probability 1/6. find the probability man get driving licence.
Choices:
2/3
4/3
5/3
1/4
Answer: A
Question: In how many ways can be 5 boys and 5 girls sit around circular table so that no two boys sit next to each other?
Choices:
(6!)^2
5!4!
11!
(5!)^2*6!
Answer: B
Question: R is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in R?
I. 9
II. 15
III. 27
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: B
Question: A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?
Choices:
5/4
5/8
5/9
6/9
Answer: C
Question: What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 300.01
Choices:
431.65
388.67
431.2
488.61
Answer: A
Question: Mangala completes a piece of work in 30 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is
Choices:
18 days
8 days
10 days
11 days
Answer: A
Question: In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
3
4
5
6
Answer: A
Question: 4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Choices:
14.4%
15.2%
15.6%
16.0%
Answer: A
Question: Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 3th shift?
Choices:
1/17
1/81
1/162
1/216
Answer: A
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 490 employees in December, how many employees did it have in January?
Choices:
426
410
423
445
Answer: A
Question: Today is Tuesday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choices:
Saturday
TUESDAY
WEDNESDAY
FRIDAY
Answer: A
Question: Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk and water in the ratio 9:4
Choices:
2:7
3:5
5:7
6:7
Answer: A
Question: There are 6 magazines lying on a table; 3 are fashion magazines and the other 3 are sports magzines. If 2 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Choices:
4/5
4/6
1/2
3/6
Answer: A
Question: Two employees X and Y are paid a total of Rs. 660 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.200
s.250
s.350
s.300
Answer: D
Question: A certain sum of money at simple interest amounted Rs.850 in 10 years at 3% per annum, find the sum?
Choices:
652.85
653.85
654.85
655.85
Answer: B
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km?
Choices:
6
8
9
7
Answer: D
Question: 800 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
138
16
38
12
Answer: B
Question: If the selling price of 50 articles is equal to the cost price of 25 articles, then the loss or gain percent is:
Choices:
23%
20%
60%
50%
Answer: D
Question: 3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament?
Choices:
15
11
10
19
Answer: C
Question: In the infinite sequence 50, 60, 70, 80, 90, . . . , where each term is 10 greater than the previous term, the 100th term is
Choices:
1807
1910
1040
2060
Answer: C
Question: If C.P. of 26 books is equal to S.P of 30 books , then your gain or loss is ?
Choices:
30 10/23 loss %
13 1/3 loss %
30 1/3 loss %
40 1/3 loss %
Answer: B
Question: Beth received 3/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
2/7
3/9
7/20
1/2
Answer: B
Question: Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Y if the median is 10 gallons?
Choices:
2
3
4
5
Answer: A
Question: A circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside. Find the area of path.
Choices:
1694 m2
1598 m2
1500 m2
None of thes
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
1:3
3:1
4:2
Answer: A
Question: In how many ways can three boys can be seated on five chairs?
Choices:
40
60
80
90
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions?
Choices:
844.8 m
774 m
714 m
744 m
Answer: A
Question: We have a 630 ml of mixture of milk and water in the ratio 7:2. How much water must be added to
make the ratio 7:3?
Choices:
70 ml
80 ml
50 ml
None of these
Answer: A
Question: When the integer y is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2y
II. 6y
III. 4y + 6
Choices:
II only
III only
I and II only
I, II, and III
Answer: D
Question: How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,V,and T so that letter P is to the left of letter R?
Choices:
60
120
144
160
Answer: A
Question: If s and t are positive integers such that s/t = 17.14, which of the following could be the remainder when s is divided by t ?
Choices:
45
49
23
45
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. What is the length of the platform?
Choices:
350 m
187.5 m
299 m
219.5 m
Answer: B
Question: How much interest will $8,000 earn in 9 months at an annual rate of 6%?
Choices:
$350
$360
$550
$650
Answer: B
Question: Today is Monday. After 61 days, it will be:
Choices:
Saturday
Tuesday
Thursday
Friday
Answer: A
Question: Line k is in the rectangular coordinate system. If the c-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
Choices:
-3c + 2y = 6
3c - 2y = 6
2c - 3y = 6
-2c - 3y = 6
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Choices:
Rs. 500
Rs. 550
Rs. 600
Rs. 700
Answer: A
Question: In an election between two candidates, one got 60% of the total valid votes, 30% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was:
Choices:
2520
3000
3100
None of these
Answer: A
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Choices:
687
26
96
12
Answer: B
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre
Choices:
s425
s880
s480
s980
Answer: A
Question: An article is bought for Rs.685 and sold for Rs.900, find the gain percent?
Choices:
33 8/3%
33 1/3%
31 12/31%
32 1/3%
Answer: C
Question: 1/0.04 is equal to
Choices:
2.5
25
.25
None of these
Answer: B
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
523
775
890
270
Answer: D
Question: All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
69
78
81
74
Answer: D
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother seven years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
7 years
9 years
Answer: D
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
4800
5100
5300
5400
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 800 more than D, what is B's share?
Choices:
Rs. 1600
Rs. 2000
Rs. 2500
none of the above
Answer: A
Question: A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any two of the seven weekdays can be chosen. How many different two-day combinations of the seven weekdays can be constructed?
Choices:
15
21
35
56
Answer: B
Question: How many positive integers H less than 10,000 are such that the product of their digits is 210?
Choices:
30
48
54
72
Answer: C
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 45 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: B
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Choices:
3/9 and 1/2
1/5 and 1/4
1/4 and 3/10
3/10 and 1/2
Answer: A
Question: A person buys an article at $600. At what price should he sell the article so as to make a profit of 8%?
Choices:
689
648
740
889
Answer: B
Question: A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?
Choices:
4 : 7
1 : 4
3 : 4
2 : 5
Answer: C
Question: How much time does a train 150 metres long running at 90 km/hr take to pass a pole?
Choices:
6s
7.5s
7.6s
7.4s
Answer: A
Question: Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
s.440.50
s.630.50
s.346.50
s.446.50
Answer: B
Question: Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.
Choices:
7 women, 1 men and 12 children
5 women, 1 men and 14 children
4 women, 2 men and 14 children
None of these
Answer: B
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choices:
1683
2523
3363
4352
Answer: A
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 60, find the ages of Toby and Debby?
Choices:
8 and 12
6 and 10
5 and 10
12 and 16
Answer: A
Question: In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choices:
75
25
50
125
Answer: C
Question: An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase?
Choices:
0.77%
20%
22%
24%
Answer: A
Question: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
Choices:
5
6
8
7
Answer: A
Question: Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
Choices:
24
32
36
None
Answer: D
Question: If $3000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choices:
3000 (1.056)^3
3000 (1+3(0.056))
3000 (1+(0.056)^3)
3000 (1.056)(3)
Answer: A
Question: Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 800 nails working alone?
Choices:
6 6/7
7
8 1/5
9 4/7
Answer: A
Question: Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 8 pounds?
Choices:
20
22
24
26
Answer: D
Question: In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.10 per kg so that cost of mixture is Rs.12 per kg?
Choices:
5:8
5:6
3:4
1:2
Answer: D
Question: A retailer buys 120 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choices:
215
212
230
320
Answer: C
Question: Among 7 Numbers the Average of first four numbers is 13 and the average of last four numbers is 15. The sum of last three numbers is 55. The square of the fourth Number is equal to the last number then what is the last number?
Choices:
52
5
25
125
Answer: C
Question: which number need to add to 859622 to get a number divisible by 456?
Choices:
456578
676885
788090
859622
Answer: D
Question: (169)^2 - (168)^2 =
Choices:
100
229
329
337
Answer: D
Question: If 3 : 12 :: x : 16, then find the value of x
Choices:
3
4
5
6
Answer: A
Question: The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach?
Choices:
61 kg
60 kg
62 kg
91 kg
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?
Choices:
3,100
3,108
3,124
3,250
Answer: D
Question: If x, 3, 4, 5 are there and the range and median of them are the same, what is the value of x?
Choices:
1
2
3
4
Answer: D
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is
Choices:
36
45
54
57
Answer: C
Question: A man has Rs. 528 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:
94
96
97
99
Answer: D
Question: Which of the following triples of numbers have the same standard deviation as the numbers x, y and z?
I. x-2, y-2, z-2
II. 0,x-y, z-y
III.x-4, y+5, z-1
Choices:
II only
I and III only
II and I only
I, II, and III
Answer: C
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
4000
4050
5000
5500
Answer: A
Question: A man swims downstream 96 km and upstream 64 km taking 4 hours each time; what is the speed of the current?
Choices:
4
2
8
5
Answer: A
Question: Five gallons of a solution of vinegar and water with 8% vinegar is to be diluted with water to make a 4% vinegar mixture. How many gallons of water should be added?
Choices:
5
4
2
1
Answer: A
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 2 days, B can complete the job in 8 days and C can complete the job in 10 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choices:
40/29 days
3/4 days
1/2 days
1/4 days
Answer: A
Question: Three hoses work to fill a tub at at different rate. Hose E and B, working together, can fill the tub in 6/5 of an hour. Hoses E and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Choices:
2/5
1/2
1
6/5
Answer: C
Question: A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
Choices:
120
90
85
30
Answer: B
Question: If the price of an item is decreased by 30% and then increased by 30%, the net effect on the price of the item is
Choices:
No change
A decrease of 1%
A decrease of 9%
none
Answer: C
Question: In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
Choices:
66
19
10
77
Answer: C
Question: Let Q represent a set of two distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Choices:
5
3
2
7
Answer: C
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Choices:
Rs. 13, Rs. 17
Rs. 13, Rs. 12
Rs. 13, Rs. 11
Rs. 13, Rs. 13
Answer: A
Question: A can run 128 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Choices:
28 metre
23 metre
16 metre
28 metre
Answer: C
Question: A sum of Rs. 2769 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
1632
2789
1704
Answer: D
Question: The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.
Choices:
40
38
278
29
Answer: A
Question: An investor receives a total combined return of 7% on his two different investments. On his $20,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
Choices:
4.9%
8%
8.5%
9%
Answer: B
Question: In Company B, the total monthly payroll for the 20 factory workers is $36,000 and the total monthly payroll for the 50 office workers is $110,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a factory worker in this company?
Choices:
$400
$500
$550
$600
Answer: A
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2500, what will be the difference between Q and R's share?
Choices:
2325
2425
2625
2525
Answer: C
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
18
40
37
40
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 17 months?
Choices:
17:11
18:19
18:121
18:112
Answer: A
Question: A boatman goes 3 km against the current of the stream in 3 hour and goes 1 km along the current in 30 minutes. How long will it take to go 3 km in stationary water?
Choices:
4 hours
3 hours
2 hours
1 hours
Answer: C
Question: What is the ratio between perimeters of two squares one having 5 times the diagonal then the other?
Choices:
3: 6
3: 7
5: 1
3: 3
Answer: C
Question: What is the rate percent when the simple interest on Rs.600 amount to Rs.160 in 4 Years?
Choices:
6.66%
6.06%
6.16%
8.66%
Answer: A
Question: A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30% of the original number. What percent of the red candies remain?
Choices:
31.5%
37.5%
42.5%
46.5%
Answer: B
Question: Consider two postmen A and B respectively. A is young and can deliver 20 parcels in 3 hours while B is older than A and can deliver only 15 parcels in 4 hours. If the total number of parcels to deliver is 60, how long they will take working together.
Choices:
144/25
144/21
144/221
144/219
Answer: A
Question: In what time will a train 175 m long cross an electric pole, it its speed be 180 km/hr?
Choices:
6.5
5.5
4.5
3.5
Answer: D
Question: Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$25m
$200m
$300m
$153m
Answer: B
Question: On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*[sqrt(t-9)] for t>9, where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
Choices:
21.25
12.25
14.05
18
Answer: A
Question: Point (m,n) is on the circle represented by m^2+n^2=10, and m, n are integers. How many such points are possible?
Choices:
2
4
6
8
Answer: D
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is
Choices:
55 liters
60 liters
70 liters
75 liters
Answer: B
Question: In a school 10% of the boys are same in number as 1/4th of the girls. what is the ratio of boys to the girls in the school?
Choices:
5:2
1:4
3:7
2:5
Answer: A
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32 m
16 m
20 m
22 m
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 8 inches long, how wide is Jordan's rectangle, in inches?
Choices:
23
22
15
18
Answer: C
Question: At a meeting of the 3 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 3 Chiefs of Staff be seated around a circular table?
Choices:
480
960
2520
5040
Answer: B
Question: If in a 20 over cricket match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario?
Choices:
663
625
640
None
Answer: A
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Choices:
36
28
20
15
Answer: A
Question: In a hostel of 12 boys and some girls, an average consumption of rice per month is 12 kg, while the Average consumption for boys is 16 kg per head and for girls 8 kg per head. The number of girls in The hostel?
Choices:
12
14
15
16
Answer: A
Question: The speed of a boat in still water is 12 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 18 minutes is
Choices:
2 km
3.6 km
4.8 km
None of these
Answer: C
Question: How many digits are in the number 50^8 × 8^3 × 11^2 x 10^6?
Choices:
20
19
18
17
Answer: D
Question: If dy > 0 and yz < 0, which of the following must be negative:
Choices:
dy(z^2)
d(y^2)z
x(y^2)(z^2)
(x^2)(y^2)(z^2)
Answer: B
Question: If the cost price of 11 pens is equal to the selling price of 10 pens, the gain percent is:
Choices:
10%
50%
80%
34%
Answer: A
Question: By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
Choices:
50min
65min
60min
70min
Answer: C
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Choices:
6400
6438
6439
9473
Answer: A
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
3.9
4.2
4.3
4.6
Answer: D
Question: The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 285, then the mean profit for the last 15 days would be
Choices:
Rs. 350
Rs. 275
Rs. 415
None of these
Answer: C
Question: Rajeev,Lakshmi and Muthu enter into partnership. Rajeev invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Muthu invests thrice the amount after 8 months. If the annual gain be Rs.4500. Lakshmi's share is?
Choices:
1500
500
750
1250
Answer: A
Question: There are 20 girls inhostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
1 year 2 months
2 year 5 months
3 year
None
Answer: D
Question: A flagstaff 17.5 m high casts a shadow of length 40.25 m.The height of the building,which casts a shadow of length 28.75 m under similar conditions will be :
Choices:
12.5 m
17.5 m
21.25 m
None of these
Answer: A
Question: The contents of a bag of candy consist of 11 green pieces of candy and 20 blue pieces of candy. How many blue pieces of candy must be eaten so that 55% of the candies in the bag will be green?
Choices:
10
11
13
15
Answer: B
Question: John professes to sell his goods at the cost price but he made use of 800 grams instead of a kg, what is the gain percent?
Choices:
12 1/4%
12 2/3%
12 2/1%
12 1/2%
Answer: D
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Choices:
4/19
4/12
4/13
4/11
Answer: C
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1228
1210
1782
1762
Answer: B
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
8 hours
14 hours
28 hours
24 hours
Answer: C
Question: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen
Choices:
15/48
36/91
451/75
55/221
Answer: D
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
Choices:
72
105
108
51
Answer: C
Question: The speed of a boat in still water in 42 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 44 minutes is:
Choices:
46.6 km
33.7 km
35.6 km
26.6 km
Answer: B
Question: If the compound interest (compounded Yearly) on a certain sum for 2 years at 3% is Rs.101.50 then what will be the corresponding simple interest?
Choices:
Rs.101.00
Rs.90.00
Rs.95.50
Rs.75.50
Answer: A
Question: It takes 60 identical printing machines 4 hours to print 200,000 cards. How long would it take 50 of these machines to print the same total?
Choices:
5 hr
6 hr
4 hr 30 min
5 hr 12 min
Answer: D
Question: For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is?
Choices:
Between 10 and 20
Between 20 and 30
Between 30 and 40
Greater than 40
Answer: D
Question: A train running at the speed of 70 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
175 m
208 m
988 m
299 m
Answer: A
Question: The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in six colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
Choices:
32
48
60
192
Answer: D
Question: A garrison of 1000 men has provisions for 60 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
2250
60
45
1250
Answer: D
Question: Two trains of equal lengths take 10 sec and 8 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12
9
99
21
Answer: B
Question: The average weight of 7 person's increases by 6.2 kg when a new person comes in place of one of them weighing 76 kg. What might be the weight of the new person?
Choices:
175 kg
180.7 kg
119.4 kg
190.8 kg
Answer: C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Choices:
277
298
125
272
Answer: B
Question: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?
Choices:
1 hrs
2.5 hrs
2 hrs
3 hrs
Answer: C
Question: How many integer values T are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
726 sec
127 sec
115 sec
Answer: D
Question: What is the maximum number of pieces of birthday cake of size 5” by 5” that can be cut from a cake 15” by 15”?
Choices:
10
16
20
9
Answer: D
Question: The average of marks obtained by 120 boys was 36. 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:
105
120
130
140
Answer: A
Question: A bike covers a certain distance at the speed of 66km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
85.34 km/h
87.67 km/h
90.25 km/h
88 km/h
Answer: D
Question: The distance light travels in one year is approximately 5,860,000,000,000 miles. The distance light travels in 100 years is
Choices:
B) 587 × 1010 miles
C) 587 × 10-10 miles
D) 586 × 1012 miles
E) 587 × 10-12 miles
Answer: C
Question: The difference between the simple interest received from two different sources on Rs.1900 for 3 years is Rs.13.50. The difference between their rates of interest is
Choices:
0.23%
0.33%
0.43%
0.53%
Answer: A
Question: In August,a cricket team that played 120 matches won 24% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
Choices:
52
68
70
98
Answer: C
Question: Three candidates contested an election and received 1136, 7636 and 12000 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
58%
74%
63%
68%
Answer: A
Question: How many numbers from 29 to 79 are exactly divisible by 11?
Choices:
6
8
5
7
Answer: C
Question: John bought 2 shares and sold them for $97 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $6
a loss of $10
neither a profit nor a loss
Answer: B
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 31, C will receive
Choices:
6
8
10
12
Answer: A
Question: There are 3 teams each with 8 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Choices:
23
192
28
45
Answer: B
Question: What is the smallest positive integer x such that 80-x is the cube of a positive integer
Choices:
16
47
9
12
Answer: A
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Choices:
4500
2777
1299
2791
Answer: A
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent T above the cost price were his articles marked?
Choices:
100%
75%
66+2/3%
50%
Answer: A
Question: Given a Number 123456, from this number put any three values in numerator and remaining three are in denominator. So how many values you can make from this number less than 1/5.
Choices:
6
7
87
81
Answer: C
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
28
90
26
11
Answer: B
Question: 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.130000, find the cost of a camel?
Choices:
s.3800
s.9800
s.5200
s.6880
Answer: C
Question: If (1/5)^m * (1/4)^2 = 1/((10)^4), then m =
Choices:
4
6
3
2
Answer: A
Question: How many 1's are there preceded by 2 but not followed by 7?
5 9 3 2 1 7 4 2 6 9 7 4 2 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Choices:
5
6
1
9
Answer: C
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
18
21
None of these
Answer: A
Question: A certain car dealership offers its newest model in ten exterior and ten interior colors. If the seven interior colors are identical to the seven exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Choices:
45
90
10!/2!
10!
Answer: A
Question: In a group of 25 factory workers, 17 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
Choices:
9
8
7
4
Answer: A
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
10
16
18
22
Answer: B
Question: If Q is a positive integer, which of the following must be odd?
Choices:
Q^2+Q
Q^2+Q+1
x^2−1
3x^2−3
Answer: B
Question: Set S consists of all prime numbers less than 10. If two numbers are chosen from et S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?
Choices:
2/3
1/2
7/10
4/5
Answer: B
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 36 pints of Perfect Pink paint?
Choices:
16
19
25 1/3
28 1/2
Answer: B
Question: How many combinations of three letters taken from letters (b, b, c, c, d,d) are possible?
Choices:
13
5
6
7
Answer: D
Question: There are 6 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?
Choices:
6/16
4/16
6/10
5/11
Answer: D
Question: A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal.
Choices:
80kg.
70kg.
60kg.
50kg.
Answer: A
Question: Last year, sales at Company Dopler were 10% greater in February than in January, 5% less in March than in Feb, 5% 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:
April
Mar
May
June
Answer: B
Question: A watch passes through three hands and each person gains 25%. If the third person sells it for $375, what did the first person pay for it?
Choices:
$188
$192
$196
$200
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
18 sec
14 sec
12 sec
Answer: A
Question: What approximate value should come in the place of question mark(?) in the following equation?
98.98 ÷ 11.03 + 7.014 × 15.99 = (?)2
Choices:
144
12
121
11
Answer: D
Question: The value of a machine depreciates at 24% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
Choices:
$430640
$120640
$110640
$150640
Answer: C
Question: You and your friend are playing Russian Roulette. Of course, the gun is filled with fake pellets. Three bullets are placed inside three consecutive chambers. The cylinder is then spun once. It won't be spun again.
As per the rules, the gun will be passed from one person to other until a pellet is shot. If you want to win this game, would you go first or second ?
Choices:
3rd
4th
2nd
5th
Answer: C
Question: If the first half of the English alphabet is reversed and then next portion of English alphabet is reversed so as 'A' takes the portion of 'M' and 'N' takes the portion of 'z' then which letter will be 6th to the left of 17th letter to the right of 7th leter from the left?
Choices:
V
J
G
K
Answer: A
Question: Sum of the numbers from 1 to 45 is
Choices:
1035
1025
1009
None of these
Answer: A
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 60 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
36
20
24
30
Answer: A
Question: Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/5. Find the probability that both of them are selected.
Choices:
2/60
2/63
2/35
2/38
Answer: C
Question: In a division, a student took 42 as divisor instead of 36. his answer was 24 . The correct answer is-
Choices:
32
48
28
38
Answer: D
Question: An woman swims downstream 81 km and upstream 36 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
2.5
3.5
4.5
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?
Choices:
150 m
210 m
300 m
None of these
Answer: B
Question: The average of six number is 3.99. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining two number ?
Choices:
4.6
4.72
4.8
None of these
Answer: B
Question: 50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed?
Choices:
268
260
276
100
Answer: D
Question: In how many ways can an answer key for a quiz be written if the quiz contains 3 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
Choices:
224
280
384
476
Answer: C
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
6
7
8
Answer: A
Question: Merry and Mich play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Mich plays first, giving Merry a third of her cards. Merry plays next, and Mich follows. Then the game ends. Merry ended up with 14 more cards than Mich. How many cards did each player have originally?
Choices:
58
56
55
54
Answer: D
Question: On dividing 172 by a number, the quotient is 10 and the remainder is 2. Find the divisor.
Choices:
11
13
15
17
Answer: D
Question: 10^190 - 10^9 = Which of the following best approximates the value of the expression above?
Choices:
10^180
10^160
10^181
10^190
Answer: D
Question: If 5 cars park in 5 parking place.there are 3 red colour car,1 blue and 1 green then how many ways we can arrange the cars differently
Choices:
20
30
40
50
Answer: A
Question: A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes
7 : 9. How many litres of liquid A was contained by the can initially?
Choices:
20
21
25
26
Answer: B
Question: 40 people attend a party. 11 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
6
7
11
9
Answer: C
Question: The length of a rectangle is 2 cm more than the width of the rectangle. The perimeter of the rectangle is 20 cm. Find the length and the width of the rectangle.
Choices:
l=5,w=8
l=6,w=4
l=1,w=7
l=2,w=3
Answer: B
Question: If f(x)= 5x^2- 2x+6 and g(y)= 3y-7, then g(f(x))
Choices:
15x^2-6x+11
58x^2-4x+58
87x^2-5x+96
98x^2-7x+94
Answer: A
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
Rs.5355
Rs.5365
Rs.5345
Rs.5395
Answer: A
Question: The average age of a group of person going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average becomes 15.5 years. Find the number of persons initially going for picnic.
Choices:
20
22
19
None of the above
Answer: A
Question: I spend 40 hours a week (5 days) at work and like to organize my time so that I spend an equal number of hours on the two tasks I currently have. Currently, I am spending 5 hours a day on Task 1 and 3 on Task 2. How many hours a week less do I need to spend on Task 1 in order to evenly distribute my time?
Choices:
5
7
1
6
Answer: A
Question: The total of the ages of Mahesh, Suresh, Ramesh is 129 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
54years
42years
35years
30years
Answer: A
Question: If the radius of a cylinder is doubled and height 5 times, what is the new volume of the cylinder divided by the old one?
Choices:
2.
6.
20.
10.
Answer: C
Question: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
26699
26788
19000
39000
Answer: D
Question: How many four-digit numbers are there such that all four digits are different and the first digit is not zero?
Choices:
2648
3720
5832
8105
Answer: C
Question: The radius of a wheel is 16.8 cm. What is the distance covered by the wheel in making 300 resolutions?
Choices:
316.512 m
311.512 m
311.518 m
313.512 m
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds. What is the length of the train (in meters)?
Choices:
140 m
130 m
180 m
170 m
Answer: C
Question: A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
Choices:
A-12
A-9
A-10
A-13
Answer: C
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.40 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.26
$0.30
$0.40
$0.45
Answer: A
Question: Here is an ancient problem from Bhaskaracharya's Lilavati:
A beautiful maiden, with beaming eyes, asks me which is the number that. multipied by 3 then increased by thre-fourths of the product. divided by 7 diminished by 52, the square root found,addition of 8, division by 10 gives the number 2?
Well, it sounds complicated, doesn't it? No, not if you know how to go about it.
Choices:
22
28
29
34
Answer: B
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 612. What is the banker's discount?
Choices:
1120
1190
1462
None of these
Answer: C