antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 8 < x < 9, and x^2 = (10 – y)(10 + y), which of the following is a possible value for y?
Choices:
–6
3
4
5
Answer: D
Question: If 2x + 3y = 26; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
32
26
22
None of these
Answer: C
Question: W=(429)^2 * 237 * (1243)^3 is thrice of ?
Choices:
33654 * 538219 * (1243)^2
33891 * 533247 * (1243)^2
34122 * 532004 * (1243)^2
34606 * 534572 * (1243)^2
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
60
70
80
Answer: A
Question: A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
Choices:
200,360,160
190,400,500
190,290,390
200,300,400
Answer: A
Question: 1,5,13,25,__
Choices:
30
31
41
43
Answer: C
Question: The digital sum of a number is the sum of its digits. For how many of the positive integers 24-130 inclusive is the digital sum a multiple of 7?
Choices:
8
14
16
20
Answer: B
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 300-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choices:
2,500
2,108
2,124
2,256
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
2287
1624
2668
1298
Answer: B
Question: A pump can fill a tank with water in 6 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
17hr 30min
42hr
14hr 25min
Answer: C
Question: The speed of a boat in still water is 60kmph and the speed of the current is 17kmph. Find the speed downstream and upstream?
Choices:
77,43 kmph
80,42 kmph
80,40 kmph
83,40 kmph
Answer: A
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {18} + {16}?
Choices:
20
11
19
2
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 3 kmph, then the speed in downstream is?
Choices:
77
20
18
71
Answer: C
Question: Can you find the smallest non fractional number such that
If the number gets divided by 6 , we get the remainder of 1;
If the number gets divided by 7, we get the remainder of 2
If the number gets divided by 8 , we get the remainder of 3;
If the number gets divided by 9 , we get the remainder of 4.
Choices:
1006
1010
1200
1300
Answer: A
Question: A sum is invested at compounded interest payable annually. The interest in the first two successive years was Rs. 400 and Rs. 420. The sum is
Choices:
Rs. 8000
Rs.7500
Rs. 8500
Rs. 8600
Answer: A
Question: A train 330 m long passed a pole in 11 sec. How long will it take to pass a platform 760 m long?
Choices:
89 sec
87 sec
35 sec
36 sec
Answer: D
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choices:
560
670
650
700
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe boundary ofthe park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
147600 m
153600 m
187500 m
196700 m
Answer: B
Question: The cost price of 8 articles is equal to the selling price of 5 articles. What is the profit percent?
Choices:
40%
50%
60%
70%
Answer: C
Question: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Choices:
7
8
10
11
Answer: A
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different L arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
360
120
24
21
Answer: A
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
Choices:
3
7
12
15
Answer: A
Question: A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
3.68
3.78
3.88
3.98
Answer: A
Question: 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
86
16
10
19
Answer: A
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.75 per kg?
Choices:
3:1
3:7
9:5
9:8
Answer: A
Question: The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
Choices:
40
65
70
90
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
5 hrs
6.5 hrs
7.2 hrs
7 hrs
Answer: C
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 15, and the difference between the total number of strawberries and the total number of blueberries would increase by 87. Each blue box contains how many blueberries?
Choices:
30
32
34
36
Answer: D
Question: The units digit of (35)^(87) + (93)^(53) is:
Choices:
4
6
8
0
Answer: C
Question: A train covers a distance of 1000 km in 10hrs. Find the speed of the train?
Choices:
100km/hr
150km/hr
50km/hr
75km/hr
Answer: A
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. the distance light in 100 year is
Choices:
587 x 10power12 miles
587 x 10power8 miles
587 x 10power-12 miles
587 x 10power-9 miles
Answer: A
Question: The breath of a rectangular landscape is 8 times its length. There is a playground in it whose area is 3200 square mtr & which is 1/9 rd of the total landscape. What is the breath of the landscape?
Choices:
430
280
360
480
Answer: D
Question: If Re.50 amounts to Rs.250 over a period of 30 years. What is the rate of simple interest?
Choices:
13.66%
13.33%
13.44%
13.55%
Answer: B
Question: A train 440 meters long is running with a speed of 45 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
41.6 sec
42.6 sec
49.6 sec
44.6 sec
Answer: C
Question: 4,25,49,121,169,289,
Choices:
361
189
209
219
Answer: A
Question: The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 10 cents less than the price of commodity Y?
Choices:
2009
2010
2011
2012
Answer: A
Question: If there are 80 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Choices:
2/25
3/25
4/25
21/25
Answer: C
Question: If 2994 ÷14.5 = 172, then 29.94 ÷ 1.45 = ?
Choices:
0.172
1.72
17.2
none
Answer: C
Question: John makes $45 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
Choices:
46.66%
44.44%
36.98%
17%
Answer: B
Question: If the price of gasoline increases by 25% and a driver intends to spend only 20% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
Choices:
3%
4%
5%
6%
Answer: B
Question: If a is a positive integer then 5^(2a) + (625^a)/(5^(2a)) =
Choices:
24^a
2 × 25^a
55^a
5/25^a
Answer: B
Question: A man walks at the speed of 5 km/hr and runs at the speed of 10 km/hr. How much time will the man require to cover the distance of 28 km, if he covers half (first 14 km) of his journey walking and half of his journey running ?
Choices:
5.2 hrs
4.2 hrs
8.2 hrs
9.2 hrs
Answer: B
Question: A and B invest money in the ratio 6:7 and they has loss of Rs.7800 at the end of year. what is the share of loss of B?
Choices:
Rs.4200
Rs.4400
Rs.4500
None of the above
Answer: A
Question: Maddie has 15 apples, if she give 8 to mike, how many does she have left?
Choices:
7
3
4
5
Answer: A
Question: During a certain two-week period, 72 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 6 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Choices:
10 A
15 A
18 A
23 A
Answer: C
Question: Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1200 then loss of Pyarelal?
Choices:
700
1080
900
1000
Answer: B
Question: The profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choices:
960
1,200
920
None of these
Answer: A
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $2.5 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$75m
$106.25m
$127.5m
$153m
Answer: A
Question: 8 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
52
58
55
56
Answer: D
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 26 have taken the preparatory course and 65 have not taken the course. How many members are there in the swim club?
Choices:
80
100
130
140
Answer: C
Question: Set A = {1, 2, 3, 4, 5, 6, e}
Which of the following possible values for e would cause Set A to have the smallest standard deviation?
Choices:
2.5
3
3.5
7
Answer: C
Question: 7 people sit at the round table. In how many ways can we sit them so that Bob and Bill don't sit opposing each other?
Choices:
420
440
460
480
Answer: D
Question: Johnny makes $6.75 per hour at his work. If he works 10 hours, how much money will he earn?
Choices:
$67.50
$28.50
$12.50
$9.60
Answer: A
Question: Veena ranks 44rd from the top in a class of 182. What is her rank from the bottom if 22 students have failed the examination?
Choices:
108
110
90
117
Answer: D
Question: In a bag there are a certain number of black balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of black balls to blue balls in the bag
Choices:
1:4
1:1
1:5
1:6
Answer: B
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
19766
29172
11750
11267
Answer: C
Question: Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?
Choices:
4792
5817
6080
6083
Answer: D
Question: If x^2+(1/x^2)=6, x^4+(1/x^4)=?
Choices:
11
12
34
15
Answer: C
Question: If the length of a rectangle is doubled and its breadth is tripled, what is the percentage change in its area?
Choices:
345% increase
400% increase
125% increase
25% decrease
Answer: B
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Choices:
39
3
7
62
Answer: A
Question: A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?
Choices:
0.3
0.5
0.7
0.4
Answer: B
Question: Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 42 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choices:
132 sec
192 sec
252 sec
None
Answer: D
Question: Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 8 cm, what is CD, in centimeters?
Choices:
7
3
4
5
Answer: A
Question: Find the odd man out.
1, 9, 25, 4, 36, 65, 49
Choices:
25
9
65
49
Answer: C
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
1800
1245
3210
4521
Answer: A
Question: A train travels from New York to Chicago, a distance of approximately 540 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Choices:
4:00
5:00
6:00
10:00
Answer: D
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 60 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: A
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
288 sec
48 sec
16 sec
17 sec
Answer: B
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 2 = f(3x – 6)
Choices:
4
5
7
13
Answer: B
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 21st of September 1990?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: D
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 94 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
320
2,820
3,200
28,800
Answer: B
Question: X is able to do a piece of work in 14 days and Y can do the same work in 20 days. If they can work together for 5 days, what is the fraction of work completed?
Choices:
17/28
13/28
19/28
11/28
Answer: A
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Choices:
1/0
1/5
1/4
1/1
Answer: B
Question: #p is defined as 2p+20 for any number p. What is p, if #(#(#p))=12?
Choices:
–16
10
16
18
Answer: A
Question: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?
Choices:
870 km
960 km
260 km
840 km
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 1 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choices:
40 gallons
120 gallons
180 gallons
130 gallons
Answer: A
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.620 in all. For how many days was he absent?
Choices:
10
15
7
4
Answer: D
Question: If the first day of a year (other than leap year) was Thursday, then which was the last day of that year?
Choices:
Thursday
Tuesday
Monday
None of these
Answer: A
Question: A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Choices:
600
77
266
222
Answer: A
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choices:
29
39
42
45
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 28 was wrongly taken as 23. The corrected new mean is :
Choices:
36.5
36.1
36.2
36.8
Answer: B
Question: There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
Choices:
6
28
7
5
Answer: A
Question: A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
90
210
240
864
Answer: A
Question: If the least common subtraction of two prime numbers x and y is 10, where x < y , then the value of 2x + y is
Choices:
9
11
21
31
Answer: D
Question: The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?
Choices:
8
16
24
None of these
Answer: A
Question: There are 870 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
100
125
175
145
Answer: D
Question: 12.5 * 4.2 * 8.8 = ?
Choices:
435
462
646
742
Answer: B
Question: 15 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Choices:
160
720
2100
2940
Answer: D
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
50 sec
48 second
43 sec
32 sec
Answer: B
Question: 50% of a number is added to 200, the result is the same number. Find the number?
Choices:
288
400
129
281
Answer: B
Question: What is the probability of getting a number less than 4 when a die is rolled?
Choices:
1/2
1/3
1/4
1/5
Answer: A
Question: If the units digit of n^39 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Choices:
Only II
Only III
I and II
II and III
Answer: A
Question: The numbers {1, 3, 6, 7, 7, 7} are used to form three 2-digit numbers. If the sum of these three numbers is a prime number p, what is the largest possible value of p?
Choices:
151
209
211
219
Answer: C
Question: Worker A takes 7 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
70/17
50/9
60/9
80/9
Answer: A
Question: A rower whose speed is 8 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km/hr. What is the rower's average speed (in km/hr) for the total journey?
Choices:
6
7
8
9
Answer: A
Question: A , B , C started a partnership business by investing Rs 27000 , 72000 , 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:
80000
70000
120000
None of these
Answer: A
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate J in miles per hour for the entire trip?
Choices:
J=30.0
J=40.0
J=53.3
60.0
Answer: B
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 6?
Choices:
4
5
6
7
Answer: A
Question: How many 4digit no.'s can be formed using the digits {1, 3, 4, 5, 7,9}repetition of digits is not allowed?
Choices:
220
240
250
360
Answer: D
Question: When 1 + 2 = 23, 2 + 3 = 65, 3 + 4 = 127, then 4 + 5 = ?
Choices:
209
265
280
225
Answer: A
Question: A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy?
Choices:
40 dozens
50 dozens
60 dozens
70 dozens
Answer: B
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 48 years. The age of E is?
Choices:
47
48
49
40
Answer: D
Question: The average of first seven prime numbers which are odd is?
Choices:
11.5
9.5
10.1
10.7
Answer: D
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 570 pounds after processing, how many pounds did it weigh before processing?
Choices:
355
737
876
1,560
Answer: C
Question: The ratio of three numbers is 5:1:4 and their sum is 1000. The last number of the three numbers is?
Choices:
26
27
400
30
Answer: C
Question: A man goes 6 km against the current of the stream in 3 hr and goes 2 km along the stream in 30 min. How long will it take to go 4 km in stationary water?
Choices:
1 hr 20 min
2 hr 30 min
3 hr 20 min
None of these
Answer: A
Question: There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess?
Choices:
585
595
625
555
Answer: A
Question: A train covers a distance of 12 km in 10 minutes. If it takes 4 seconds to pass a telegraph post, then the length of the train is
Choices:
80m
140m
160m
170cm
Answer: A
Question: What least number should be subtracted from 997 so that the remainder when divided by 5, 9, and 11 will leave in each case the same remainder 3 ?
Choices:
2
3
4
5
Answer: C
Question: Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $8 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10 left in his pocket. What was the value of N?
Choices:
$32
$52
$60
$68
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:9
4:5
4:2
Answer: C
Question: Set #1 = {A, B, G, F, E}
Set #2 = {K, L, M, N, O, Q}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
Choices:
1/2
1/4
1/6
1/7
Answer: A
Question: In a certain company, the formula for maximizing profits is P = -25x^2 + 7500x,, where P is profit and x is the number of machines the company operates in its factory. What value for x will maximize P?
This one is from IntegratedLearning.
Here's what I did:
The OA states: To find a maximum or minimum value of an equation with an exponent in it, you take the derivative of the equation, set it to zero, and solve. I dont really get what that means. So whoever solves it, could you plz post explanation of what the above sentence mean as well?
Choices:
50
150
200
300
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Choices:
525
550
750
950
Answer: C
Question: Ramu crosses a 1000 m long street in 10 minutes. What is his speed in km per hour?
Choices:
7.2km/hr
3.6km/hr
5.9km/hr
10km/hr
Answer: C
Question: 3x+4y=10
x3 + y3=6
What is the minimum value of 3x+11y=?
Choices:
37
38
39
40
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
277
288
270
128
Answer: C
Question: A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
15 sec
18 sec
Answer: A
Question: Working alone, A can complete a certain kind of job in 12 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs?
Choices:
3
4
6
9
Answer: C
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
5 ½ sec
6 ½ sec
8 ½ sec
2 ½ sec
Answer: C
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:
8
7
6
4
Answer: B
Question: A coin is tossed 4 times. What is the probability x that the number of Heads is equal to the number of Tails?
Choices:
1/4
3/8
1/2
9/16
Answer: B
Question: How many two letter words are formed using the letters of the word MACHINE?
Choices:
56
38
42
48
Answer: C
Question: If 9 persons can do 9 times of a particular work in 9 days, then, 7 persons can do 7 times of that work in?
Choices:
3 days
5 days
7 days
9 days
Answer: D
Question: A boat running up stram takes 6 hours to cover a certain distance, while it takes 9 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Choices:
5 : 1
4 : 5
7 : 1
8 : 1
Answer: A
Question: The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
Choices:
20
0
19
18
Answer: C
Question: At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Choices:
25%
30%
33%
40%
Answer: A
Question: Which of the following is a prime number ?
Choices:
45
97
98
100
Answer: B
Question: A cistern can be filled by pipes A, X in 3 minutes 45 seconds. If the larger pipe takes 4 minutes less than the smaller pipe to fill the cistern, how much time will the smaller pipe take to fill the tank?
Choices:
6min
10min
8min
9min
Answer: B
Question: How many even integers from 1 to 200 (both inclusive) have even number of factors?
Choices:
14
5
6
7
Answer: D
Question: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
Choices:
551.25
551.2
551.23
551.21
Answer: A
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45 kmph
86 kmph
197 kmph
15 kmph
Answer: A
Question: An Indian company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
Choices:
4,536
5,040
9,000
10,000
Answer: A
Question: A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35*7/17. What was the number erased?
Choices:
7
6
5
4
Answer: A
Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability R at least one of the shirts he draws will be blue?
Choices:
28/153
5/17
4/9
R=12/17
Answer: D
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
3677
4200
2871
2123
Answer: C
Question: A man has Rs. 640 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:
115
120
125
130
Answer: B
Question: A trader sells 92 meters of cloth for Rs. 9890 at the profit of Rs. 24 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
89.5
76.9
83.5
11
Answer: C
Question: In a 500 m race Dishu beats Abhishek by 100 m or 5 seconds. In another race on the same track at the same speeds. Abhishek and Prashant start at one end while Dishu starts at the opposite end. How many metres would Abhishek have covered, by the time Dishu meets Prashant given that Dishu's speed is 10 m/sec more than that of Prashant.
Choices:
250 m
100 m
320 m
240 m
Answer: A
Question: Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
Choices:
10%
19%
12%
13%
Answer: A
Question: The speed of a boat in upstream is 20 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
17 kmph.
18 kmph.
41 kmph.
30 kmph.
Answer: D
Question: in what proportion water to be mixed with spirit to gain 12.5% by selling it at cost price?
Choices:
1:3
1:4
1:8
1:16
Answer: C
Question: The length of a rectangle is doubled while its width is doubled. What is the % change in area?
Choices:
300%
500%
650%
700%
Answer: A
Question: The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 60
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Choices:
98
90
125
162
Answer: A
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 65%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
69%
71%
None
Answer: C
Question: Bhanu spends 30% of his income on petrol on scooter 30% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Choices:
140
128
210
123
Answer: C
Question: A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 4 km/h that day, what was its approximate downstream speed?
Choices:
5
6
7
8
Answer: B
Question: A batsman makes a score of 80 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
50
62
30
56
Answer: C
Question: For what values of k is the system of equations independent? The equations are as follows:
kx + 5y = 3; 3x + 4y = 9
Choices:
15/2
15/1
15/4
15/7
Answer: C
Question: If it is 4:37 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
Choices:
4:40
4:47
4:30
4:32
Answer: A
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
4
6
3
8
Answer: B
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
67
28
126
27
Answer: C
Question: What is the 28th digit to the right of the decimal point in the decimal form of 5/11?
Choices:
4
5
6
7
Answer: B
Question: If E:F = 3:1 and F:G = 5:2 then E:F:G is
Choices:
15:5:2
16:5:2
15:4:2
5:5:2
Answer: A
Question: If a trader sold two cars each at Rs. 325475 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is?
Choices:
1.74%
1.84%
1.97%
2.25%
Answer: D
Question: If the first day of a year (other than leap year) was Wednesday, then which was the last day of that year?
Choices:
Wednesday
Tuesday
Monday
None of these
Answer: A
Question: A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is
Choices:
3 km/hr
4 km/hr
5 km/hr
None of these
Answer: C
Question: A fair coin is tossed 5 times. What is the probability that it lands heads up at least twice?
Choices:
5/16
2/5
13/16
27/32
Answer: C
Question: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?
Choices:
8/9
1
9/8
81/64
Answer: B
Question: The avg weight of A,B & C is 70 kg. If D joins the group, the avg weight of the group becomes 70 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 68 kg. What is the weight of A?
Choices:
81
75
89
90
Answer: A
Question: How many legs are there if each sheep has 4 legs and there are total 250 of that kind?
Choices:
B)800
C)1000
D)10000
of the above
Answer: B
Question: A, B and C rents a pasture for Rs.1073. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
289
267
255
333
Answer: D
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
10 days
5 days
25 days
15 days
Answer: A
Question: If 14 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Choices:
154 days.
149 days.
148 days.
167 days.
Answer: A
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
A. 3 4/9 days
Choices:
9 7/8 days
9 3/8 days
9 3/8 days
2 3/8 days
Answer: B
Question: . Data sufficiency question:
What will be the percentage profit of selling one liter milk.?
1) 16 liter of milk is sold at cost price after adding 20% water to it.
2) the cost price of one liter milk is Rs.16.
Choices:
29
27
1291
11
Answer: A
Question: Amy's sells kale at x dollar per pound for the first 20 pounds and .5x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
Choices:
25
26
21.5
28
Answer: C
Question: If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?
Choices:
58
122
84
168
Answer: B
Question: A certain essay consists of 12 paragraphs. Each paragraph contains at least 110 words but not more than 120 words. Which of the following could be the total number of words in the essay?
Choices:
1430
1640
1740
1840
Answer: A
Question: A square marked 1, 2, 3 and 4 on its four sides. Four colors pink, purple,brown and yellow are used to paint the four sides of the square. If the adjacent sides are painted with the different colors, in how many ways can the sides be painted?
Choices:
4
9
27
6
Answer: A
Question: If a company gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
Choices:
800
750
850
900
Answer: A
Question: The ages of Raju and Biju are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present
ages are:
Choices:
45 yrs, 15yrs
21 yrs, 7 yrs
60yrs, 20yrs
None of these
Answer: A
Question: If a number E between 0 and 1 is selected at random, which of the following will the number most likely be between?
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/10 and 1/2
Answer: D
Question: If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B ?
Choices:
120
132
144
156
Answer: B
Question: A cab driver 5 days income was $600, $250, $450, $400 , $800. Then his average income is?
Choices:
$480
$500
$520
$540
Answer: B
Question: A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 9 minutes?
Choices:
486
108
216
324
Answer: A
Question: A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 4 balls such that at least 2 are red?
Choices:
270
280
285
240
Answer: C
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.35000?
Choices:
11585
12779
12672
12782
Answer: A
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
7
5
2
Answer: A
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 60 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
30x+y
30x-y
60x+y
60x/y
Answer: D
Question: 12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
Choices:
18
16
12
None
Answer: A
Question: If log1087.5 = 4.9421, then the number of digits in (875)10 is?
Choices:
60
27
26
25
Answer: A
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 25% greater than any other employee, what is the lowest possible salary that any one employee earned?
Choices:
$40,384.61
$42,000
$50,000
$60,000
Answer: A
Question: A man buys 56 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.7 %
20.52 %
23.62 %
27.82 %
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.400 in 2 Years?
Choices:
6%
2%
25%
1%
Answer: C
Question: Evaluate combination
10C6
Choices:
1000
10
1
210
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
11
12
13
Answer: A
Question: The cost C of manufacturing a product can be estimated by the formula C= 0.03 rs t^2, where r ans s are amounts, in pounds, of two major ingredients and t is production time in hours. if r is increased by 50%, s increased by 20% and t decreased by 30%, by approximately what % will the estimated cost of manufacturing the product change.
Choices:
12% increase
4% increase
12% decrease
24% decrease
Answer: C
Question: What is 2 2/3 - 1 1/4 divided by 1/2 - 1/3 ?
Choices:
36/17
17/6
17/2
51/4
Answer: C
Question: Robet traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Choices:
x=3z
y=2x
x=2y
y=3x
Answer: C
Question: Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
Choices:
2/15
4/13
3/17
1/19
Answer: B
Question: What will be the difference between simple and compound interest @ 10% per annum on the sum of Rs 1000 after 4 years
Choices:
Rs 63.10
Rs 64.10
Rs 65.10
None of these
Answer: B
Question: A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose their own dress?
Choices:
87
29
26
191
Answer: A
Question: A pizza shop made pizzas with many flavours. There are 9 different flavours, in that 2 flavours are taken to make pizza. In how many ways they can arrange?
Choices:
26
36
46
56
Answer: B
Question: Spandy travels from X to Y at a speed od 40 kmph and returns by increasing his speed by 50%. What is his average speed for the whole journey?
Choices:
45 kmph
48 kmps
45 kmps
42 kmps
Answer: B
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Choices:
3:1
ratio of 3:4
3:9
3:2
Answer: B
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 7, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Choices:
18
72
112
422
Answer: A
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choices:
25
39
40
41
Answer: B
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many V hours will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
V=4.
V=5.
V=6.
8.
Answer: B
Question: If 20% of a = b, then b% of 20 is the same as:
Choices:
10% of a
4% of a
20% of a
None of these
Answer: B
Question: Xavier starts from P towards Q at a speed of 60 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 60km, then how much time does he take to cover the distance?
Choices:
48
60
56
50
Answer: A
Question: If 1/(x+4)+1/(x-4)=1/(x-4), what is the value of x?
Choices:
4
1
2
3
Answer: A
Question: Three years ago, the average age of M and N was 18 years. With P joining them, the average age becomes 22 years, How old is P now?
Choices:
24 years
28 years
30 years
40 years
Answer: A
Question: In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
15
25
33
54
Answer: B
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
8/43
9/42
9/47
9/37
Answer: B
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Choices:
6 days
5 days
3 days
4 days
Answer: A
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 66°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
1/20
1/15
1/12
1/10
Answer: B
Question: If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 8 days. If he works at reduced efficiency, he can work without break and finish that same job in 8 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Choices:
3/4
6/5
11/12
5/6
Answer: A
Question: If we write 1/3 as a decimal, what number holds the 100th digit's place to the right of the decimal?
Choices:
3
4
2
0
Answer: A
Question: If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:
Choices:
16 1/3 years
16 2/3 years
17 years
17 2/3 years
Answer: B
Question: The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?
Choices:
3
6
9
12
Answer: B
Question: A total of 40 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
Choices:
15/40
2/3
7/8
8/7
Answer: A
Question: If f(x)=x^3 and g(x)=x^2, and x is a natural number, what CANNOT the answer be for f(g(x))?
Choices:
64
729
512
4096
Answer: C
Question: By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:
Choices:
Rs. 2,700
Rs. 2,800
Rs. 3000
NOne
Answer: A
Question: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
3/5
3/10
1/5
1/10
Answer: D
Question: The 7th grade French and Spanish classes each have 12 students in them, and there are two students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Choices:
20
21
22
23
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16
17
18
19
Answer: A
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
Choices:
4 films and 12 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 42 seconds. What is the length of the train?
Choices:
700 metres
324 metres
828 metres
600 metres
Answer: A
Question: If “*” is called “+”, “/” is called “*”, “-” is called “/”, “+” is called “-”. 40/20 – 5 * 10 + 5 = ?
Choices:
165
269
657
251
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. The ratio of their speeds is:
Choices:
4: 3
3 : 8
3 : 25
3 : 4
Answer: A
Question: If $ 500 amounts to $ 583.20 in two years compounded annually, find the rate of interest per annum.
Choices:
7
8
5
4
Answer: B
Question: If selling price is doubled, the profit triples. Find the profit percent.
Choices:
25%
30%
60%
100%
Answer: D
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 154, the sum due is:
Choices:
s. 704
s. 1960
s. 2400
s. 2800
Answer: A
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:
55/221
55/200
12/130
45/200
Answer: A
Question: If 2^x + 2^y = 10^0 + 90^0, where x and y are non negative integers, what is the greatest possible value of |x â€“ y|?
Choices:
0
2
3
4
Answer: A
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 10%. What is the selling price of the cycle?
Choices:
s. 1160
s. 1190
s. 1260
s. 1204
Answer: C
Question: A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
75
25
288
212
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
150
166
170
180
Answer: B
Question: Train A leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Choices:
8:45 am
9:00 am
9:30 am
Cannot be determined from the information given
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
167 m
156 m
150 m
178 m
Answer: C
Question: Ajay sells goods to a customer at a profit of K % over the marked price, besides it he cheats his customer by giving 880g only instead of 1kg. Thus his overall profit percentage is 25%. Find the value of K.
Choices:
8.25%
10%
12.5%
None of these
Answer: B
Question: Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 25 miles per hour. How far is it to the school?
Choices:
4 miles
6.6 miles
8 miles
10 miles
Answer: B
Question: Two successive discounts of 20% and 20% are equivalent to a single discount of
Choices:
40%
36%
34%
None
Answer: B