antoine-444/aqua_rat_dataset huggingface dataset:
Question: Joke is faster than Paul, Joke and Paul each walk 24 KM. The sum of their speed is 7 Km per hour. And the sum of times taken by them is 14 hours. Then, Joke speed is
Choices:
8
7
3
0
Answer: C
Question: Line J has a y-intercept of 10 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Choices:
(a−b)/6
(6−a)/b
(b-10)/a
(b−6)/a
Answer: C
Question: The product of n-1 consecutive positive integers is always divisible by
Choices:
(n-1)!
2n +1
n^2 + 1
n!
Answer: A
Question: If the Average of 10 consecutive integers is 20.5 then the 10th integer is :-
Choices:
20
23
24
25
Answer: D
Question: If A and B are two events such that P (A) = 3/4, P (B) = 1/4 and P (A n B) = 3/8,
find P (not A and not B).
Choices:
B)3/8
C)3/9
D)3/10
E)3/11
Answer: A
Question: How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
Choices:
6 ways
7 ways
9 ways
11 ways
Answer: A
Question: The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choices:
54
72
84
90
Answer: B
Question: A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
33.33 seconds
40 seconds
88 seconds
19 seconds
Answer: A
Question: A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
3.2
2.5
2.1
2.9
Answer: A
Question: In a BCCI meeting there are 15 people. All shake hands with each other once. How many handshakes will be there altogether?
Choices:
14
15
19
18
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 12 cm?
Choices:
384 cm2
672 cm2
267 cm2
288 cm2
Answer: D
Question: P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?
Choices:
35 days
14 days
22 days
26 days
Answer: A
Question: How many pairs (e, e+1) have one or more prime factors common, where e is an integer and 2 ≤ e ≤9 ?
Choices:
0
2
3
4
Answer: A
Question: A bundle of flowers consists of 5 focal flowers and 7 foliage fillers. If a bouquet is created with 3 focal flowers and 5 foliage fillers, in how many ways can an original bouquet be formed?
Choices:
30
45
204
210
Answer: C
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–3, –4), K = (–3, 1), L = (5, 7), and M = (5, –4). What is its perimeter?
Choices:
34
38
40
(F) 42
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
Choices:
14 hrs
15 hrs
17 hrs
None
Answer: C
Question: A car travels the first 1/3 of certain distance with a speed of 10km/hr the next 1/3 distance with a speed of 12 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
Choices:
15km/hr
89km/hr
52km/hr
79km/hr
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 20% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$15,585
$16,000
$16,225
$17,155
Answer: A
Question: 5⁄7 of 4⁄15 of a number is 8 more than 2⁄5 of 4⁄9 of the same number. What is half of that number?
Choices:
315
210
105
None of these
Answer: C
Question: Divide Rs. 1200 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
s.400
s.600
s.500
s.300
Answer: D
Question: The ratio 5 : 4 expressed as a percent equals
Choices:
40%
80%
125%
None
Answer: C
Question: Two trains start simultaneously from opposite ends of a 175-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 175-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 175-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?
Choices:
69
72
75
78
Answer: C
Question: If three distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 64?
Choices:
3/7
5/14
9/28
21/56
Answer: B
Question: A train is running at a speed of 40 km/hr and it crosses a post in
18 seconds. What is the length of the train?
Choices:
150 m
200 m
140 m
250 m
Answer: B
Question: Joseph’s grade was in the 80th percentile out of 100 grades in his class. In another class of 60 students there were 15 grades higher than Joseph’s. If nobody had Joseph’s grade, then Joseph’s was what percentile of the two classes combined?
Choices:
78
75
60
90
Answer: A
Question: ramu sells gud for 27 per kg. but he has two plates for wighting one plate is 10% shorter then other.. he put 1 kg weight on shorter plat and apple on other plat.. at the end their is no profit no loss..what is cost price of apple
Choices:
30
40
45
50
Answer: A
Question: The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Choices:
94
83
38
48.5
Answer: A
Question: Cereal A is 11% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
3:7
2:5
1:8
1:5
Answer: C
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
Choices:
Rs.19828.80
Rs.19828.18
Rs.19828.97
Rs.19828.88
Answer: A
Question: Out of 9 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Choices:
1/36
20/36
11/36
2/36
Answer: A
Question: Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
Choices:
27
43
54
77
Answer: A
Question: If an amount of Rs 26000 is divided equally among
76 students, approximately how much amount will
each student get?
Choices:
Rs 400
Rs 420
Rs 218
None
Answer: A
Question: The average of first 14 even numbers is?
Choices:
18
16
11
15
Answer: D
Question: 10 binders can bind 1400 books in 21 days. How many binders will be required to bind 1800 books in 20 days?
Choices:
18
17
16
12
Answer: D
Question: Oranges are bought at 7 for Rs.4. At what rate per hundred must they be sold to gain 33%?
Choices:
58
59
54
76
Answer: D
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
16
18
19
14
Answer: B
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38002
38027
38028
Answer: A
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 16 + 6x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Choices:
–4
–6
–7
–9
Answer: A
Question: Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
Choices:
45cm
244cm
55cm
50cm
Answer: A
Question: A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
Choices:
16:9
2:3
1:2
2:5
Answer: A
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
10
14
25
15
Answer: D
Question: The average of eight results is 37 and that of the first seven is 40. The eighth result is?
Choices:
30
12
37
16
Answer: D
Question: A man traveled a total distance of 1200 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Choices:
440
480
520
560
Answer: B
Question: Rajeev wants to reach Mankar station exactly at 11 am. At 9.15 am, his train departs from Howrah Station. The speed of the train is 100 km per hour and distance between Howrah and Mankar is 150 kilometre. At what time will Rajeev actually reach Mankar?
Choices:
10.45 am
11.15 am
11.30 am
11.45 am
Answer: A
Question: Shaun invests a certain sum of money at 18.75% p.a. simple interest. After how many years will the sum of money become three times its principal?
Choices:
10 years 8 months
10 years 9 months
12 years
16 years
Answer: A
Question: A train running at the speed of 6 km/hr crosses a pole in 2 seconds. Find the length of the train?
Choices:
872
3.33
3.21
30.1
Answer: B
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 60 people bought tickets to the concert, what was the total revenue from ticket sales?
Choices:
$740
$850
$980
$1,240
Answer: D
Question: If 0.6:1.4 :: 2:4:x, then x=?
Choices:
5.6
0.56
0.056
None of these
Answer: A
Question: On January 1, 2010, David invests 40% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 5% in the Antarctic stock market; however, in 2011, largecaps fall 5% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, David has the same total amount of retirement savings as he did two years before, then x is between
Choices:
5 and 10
10 and 15
15 and 20
20 and 25
Answer: B
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
6 days
8 days
10 days
11 days
Answer: B
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
60 kg
72 kg
96 kg
98 kg
Answer: A
Question: Find large number from below 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?
Choices:
1450
1540
1650
1635
Answer: D
Question: Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his?
Choices:
32/64
36/64
40/64
42/64
Answer: A
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 3, 2008?
Choices:
Thursday
Wednesday
Friday
Sunday
Answer: A
Question: The ratio between the present ages of A and B is 3.5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
13:0
15:11
13:12
13:17
Answer: B
Question: A glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.02%
0.2%
4%
40%
Answer: C
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1
7
9
6
Answer: A
Question: If the terms of a series are either2or24and the sum of all the terms B of the series is 124, then which of the following could be the number of2sin the series?
Choices:
26
35
40
48
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.
Choices:
190 cm2
180 cm2
785 cm2
295 cm2
Answer: A
Question: Sandy is younger than Molly by 16 years. If the ratio of their ages is 7:9, how old is Sandy?
Choices:
49
56
63
70
Answer: B
Question: If a and b are integers and (2^a)(3^b) is a factor of 600^40, what is the largest possible value of ab?
Choices:
a
20a
40a
80a
Answer: A
Question: Jim is able to sell a hand-carved statue for $620 which was a 25% profit over his cost. How much did the statue originally cost him?
Choices:
$496.00
$555.40
$574.90
$588.20
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 4 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Choices:
184 km/hr
152 km/hr
169 km/hr
179 km/hr
Answer: A
Question: What is the next number in the sequence : 15,21,24,30,33,39,51,57__?
Choices:
69
67
65
79
Answer: A
Question: The true discount on a bill of Rs.270 is Rs.45.The banker's discount is
Choices:
54
56
57
None of these
Answer: A
Question: what is the value of (4)^-5 ?
Choices:
1/120
1/650
1/1024
1/1000
Answer: C
Question: One hundred gallons of fuel are purchased at $0.70 per gallon. The fuel is consumed at a rate of $0.50 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel?
Choices:
120
140
160
180
Answer: B
Question: If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choices:
5/2
10/3
15/4
25/3
Answer: A
Question: Gregory grossed $750 one week by working 60 hours. His manager pays him time-and-a-half for all hours worked in excess of 30 hours. What is Gregory's regular hourly wage?
Choices:
12
10
20
21
Answer: B
Question: If (18^a) * 9^(3a – 1)= (2^6)(3^b) and a and b are positive integers, what is the value of a?
Choices:
11
9
6
3
Answer: C
Question: In how many ways can 3 boys and 3 girls be seated on 8 chairs so that no two girls are together?
Choices:
14400
480
56
40320
Answer: B
Question: Three candidates contested an election and received 3644 votes, 7606 votes, and 13750 votes respectively. What percentage of the total votes did the winning candidate receive?
Choices:
55%
57%
58%
59%
Answer: A
Question: A five digit number is to be formed using each of the digits 1, 2, 3, 4, 5 and 6 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?
Choices:
36
72
60
480
Answer: D
Question: If the range R of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Choices:
2
12
13
15
Answer: C
Question: If 28a+30b+31c=545.
then a+b+c=?.a,b,c are natural numbers
Choices:
14
8
25
18
Answer: D
Question: If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 15
III. 25
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: What will be the vulgar fraction of 0.5
Choices:
1/2
3/2
3/7
3/8
Answer: A
Question: A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
490
380
450
690
Answer: C
Question: A hall 36m long and 15m broad is to be paved with stones, each measuring 3dm by 5 dm. The number of stones required is:
Choices:
3600
18
18000
1.8
Answer: A
Question: In a factory, an average of 65 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 60 sets/day . The average production per day for day last 5days is ?
Choices:
35
48
50
59
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1345
1358
1321
1365
Answer: D
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12:15:16
42:45:56
Cannot be determined
None of these
Answer: A
Question: A bookseller sells his books at a 20% markup in price. If he sells a book for $24.00, how much did he pay for it?
Choices:
$14.00
$10.00
$9.60
$20.00
Answer: D
Question: What is the median from the below series 90, 92, 91, 88, 95, 88, 97, 87, and 98
Choices:
85
91
97
100
Answer: B
Question: 10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Choices:
6000
3000
2000
1000
Answer: A
Question: 100 × 10 – 100 + 2000 ÷ 100 = ?
Choices:
780
920
979
None of these
Answer: B
Question: There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except
Choices:
monday
tuWesday
wednesday
friday
Answer: A
Question: A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
Choices:
1 km/hr
3 km/hr
4 km/hr
None of these
Answer: A
Question: A train 120 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choices:
10 s
8 s
12 s
None of these
Answer: B
Question: A candidate who gets 30% of the marks fails by 60 marks. But another candidate who gets 45% marks gets 30 marks more than necessary for passing. Find the number of marks for passing?
Choices:
240 Marks
280 Marks
371 Marks
827 Marks
Answer: A
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3520. They completed the work in 3 days with the help of C. How much is to be paid to C?
Choices:
s. 600
s. 420
s. 440
s. 480
Answer: C
Question: Running at the same constant rate, 6 identical machines can produce a total of 360 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2400
10800
10900
Answer: B
Question: Farm A had an average output of 350 kgs of wheat per acre. Farm B had an average output of 300 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
Choices:
130 acres
145 acres
160 acres
180 acres
Answer: A
Question: Which letter will come exactly between the tenth letter from your left and the seventh letter from your right.
Without changing any order in the original from the alphabet?
Choices:
Y
O
Y
R
Answer: B
Question: If f(x)=4x−1 and g(x)=2x+5 for all integers, which of the following is a possible value of g(f(x))?
Choices:
-17
0
8
19
Answer: D
Question: A vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
Choices:
42
44
46
48
Answer: A
Question: A car traveled 340 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Choices:
504
321
220
170
Answer: A
Question: A can do a piece of work in 14 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choices:
11 3/17 days
12 3/17 days
19 3/17 days
13 3/17 days
Answer: A
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choices:
288
960
882
271
Answer: B
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 2 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Choices:
16
32
56
58
Answer: A
Question: A box contains eight apples out of which 4 are rotten. If four apples are chosen at random, find the probability that all the four apples are rotten?
Choices:
1/90
1/80
1/70
None of these
Answer: C
Question: Which of the following equations has a root in common with x^2−7x+10=0 ?
Choices:
x^2-x-1=0
x^2-6x+5=0
x^2-2x-1=0
x^2-1=0
Answer: B
Question: The difference between simple and compound interest on Rs. 1600 for one year at 10% per annum reckoned half-yearly is?
Choices:
3
9
4
2
Answer: C
Question: How many numbers greater than 1000 can be formed with the digits 3,4,6,8,9 if a digit cannot occur more than once in a number?
Choices:
240
360
60
600
Answer: A
Question: A fair coin is tossed 9 times. What is the probability of getting more heads than tails in 9 tosses?
Choices:
1/2
4/7
61/256
63/64
Answer: A
Question: A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 3 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?
Choices:
21/4
28
26
21
Answer: A
Question: Dawson’s salary is reduced by 20% and then reduced salary is increased by 20%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
1%
2%
3%
4%
Answer: D
Question: Vlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
Choices:
54
96
144
432
Answer: A
Question: The proportion of water to alcohol in Solution A is 4:1 and the proportion of water to alcohol in Solution B is 3:1. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Choices:
18.5%
20.5%
22.5%
24.5%
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
42%
12%
22%
82%
Answer: B
Question: In a partnership, A invests 1⁄6 of the capital for 1⁄6 of the time, B invests 1⁄3 of the capital for 1⁄3 of the time and C, the rest of the capital for whole time. Find A’s share of the total profit of 2,300.
Choices:
100
300
400
None of these
Answer: A
Question: A and B can do a piece of work in 10 days and 10 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Choices:
30days
50days
60days
70days
Answer: A
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 40% more recliners. What is the percentage increase of the gross?
Choices:
15%
11.2%
7%
13%
Answer: B
Question: In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is
Choices:
3:4
1:4
3:5
None
Answer: A
Question: A batsman scored 150 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
40%
60%
70%
80%
Answer: B
Question: (1.00003)(0.99997) - (1.00002)(0.99998) =
Choices:
-5(10^-10)
3(10^-10)
10^-5
3(10^-5)
Answer: A
Question: The student manager of the university theater estimated that for every 6 movie tickets sold on Valentine's Weekend, the theater will sell 3 packs of grain crackers at $2.25 each, 4 bottles of a beverage at $1.50 each, and 4 chocolate bars at $1.00 each. Find the approximate average (arithmetic mean) amount of estimated snack sales per movie ticket sold.
Choices:
$1.58
$2.00
$2.64
$2.79
Answer: D
Question: A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green cards. 3 cards are randomly drawn with replacement from the deck. What is the probability that all three cards are the same color?
Choices:
11/81
5/7
27/729
2/5
Answer: A
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Choices:
288
298
308
318
Answer: C
Question: The compound ratio of 1:3, 3:2 and 4:5?
Choices:
1:7
1:2
2:5
1:4
Answer: C
Question: How many numbers are divisible by both 2 and 3 up to 300?
Choices:
50
150
200
250
Answer: A
Question: what is the product of first three whole no.
Choices:
0
6
2
3
Answer: A
Question: The result when a number subtracted from 150 is the same as the number added to 68. what is the number?
Choices:
100
109
218
210
Answer: B
Question: The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both?
Choices:
1600
2662
9222
7122
Answer: A
Question: A sum of Rs.2200 has been divided among A, B and C such that A gets 1/4 of what B gets and B gets 1/5 of what C gets. What is B's share?
Choices:
Rs. 364
Rs. 372
Rs. 352
Rs. 354
Answer: C
Question: P can do the work in 10 days and Q can do the same work in 15 days. If they work together for 4 days, what is the fraction of work that is left?
Choices:
1/4
1/3
2/5
2/3
Answer: B
Question: On his first 3 tests, Rajeev received an average score of X points. If on his fourth test, he exceeds his previous average score by 24 points, what is his average score for his first 4 tests?
Choices:
X+6
X+4
X+3
X+2
Answer: A
Question: Find the value of (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…..+ ((1/(9*10)).
Choices:
2/5
4/5
3/5
None of them
Answer: A
Question: If 314,314 football shoes need to be placed in boxes and each box can contain at most 6 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:
Choices:
3 football shoes
4 football shoes
7 football shoes
9 football shoes
Answer: B
Question: A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart.
Choices:
Cost price of horse = Rs. 900 & the cost price of cart = 700.
Cost price of horse = Rs. 400 & the cost price of cart = 200.
Cost price of horse = Rs. 300 & the cost price of cart = 800.
Cost price of horse = Rs. 800 & the cost price of cart = 800.
Answer: B
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 3 years when the coach age is also included.what is the age of the coach ?
Choices:
53 yrs.
58 yrs.
48 yrs.
55 yrs.
Answer: B
Question: When anunfaircoin is tossed twice, the probability of getting one tails and one heads is 1/2. What is the probability of getting two heads and two tails if the coin is tossed 4 times?
Choices:
1/3
1/4
1/6
1/9
Answer: D
Question: If 1000 microns = 1 decimeter, and 1,000,000angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
1000
100
0.01
0.0001
Answer: A
Question: How many positive integers less than 50 have a reminder 01 when divided by 4?
Choices:
13
15
16
17
Answer: A
Question: A factory has a fixed cost of $50,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choices:
14,000
18,000
20,000
27,000
Answer: C
Question: Three 7 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choices:
1/49
1/39
1/42
1/29
Answer: A
Question: A garrison of 400 men had a provision for 31 days. After 25 days 320 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
30 days
10 days
16 days
18 days
Answer: A
Question: A and B are in a relay race. A runs the first leg of the course in 42 seconds. B runs the second leg of the course in 19 seconds. What was the average time they took to run a leg of the course?
Choices:
27.5
28.5
29.5
30.5
Answer: D
Question: How many positive integers less than 260 are multiple of 4 but NOT multiples of 6?
Choices:
31
45
53
64
Answer: B
Question: How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 19 inches than that of a rectangular sheet of paper measuring 9.5 inches by 11 inches?
Choices:
87%
100%
187%
200%
Answer: B
Question: n^(n/2)=2 is true when n=2 in the same way what is the value of n if n^(n/2) =4?
Choices:
3
4
5
6
Answer: B
Question: A man sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
35%
30%
37%
39%
Answer: B
Question: The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 58, and last 6numbers is 65 then find 6th number?
Choices:
78
58
62
48
Answer: A
Question: John was 22 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/9 of John's. How old is Betty?
Choices:
26
28
21
32
Answer: C
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
250
364
389
398
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 110 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
87 sec
36 sec
16 sec
35 sec
Answer: D
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 28 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444 km
547 km
588 km
653 km
Answer: C
Question: Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45
The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 26 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
Choices:
6
9
17
20
Answer: C
Question: If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 1000, what is the least possible value of n?
Choices:
11
14
13
15
Answer: D
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $500 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $555 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
2,500
4,000
5,000
6,000
Answer: A
Question: IF GO=32& SHE=49 the SOME will be equal to?
Choices:
56
62
64
66
Answer: A
Question: If the positive integer y is divisible by 4, 8, and 12, then which of the following must y be divisible by?
I. 24
II. 36
III. 48
Choices:
II only
I only
II and III only
I, II, and III
Answer: B
Question: Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 3 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
Choices:
55
58
61
63
Answer: A
Question: John, James and Jim' investment ratio in a business is 4:7:9. If total total investment is 80000. Find Jim's investment?
Choices:
40000
16000
36000
60000
Answer: C
Question: clay brought 4 chocolates for 4 guests. 1 of the guest arrive early and eat 3 chocolates each. How many chocolates are left over if the other guests all have the same number of chocolates?
Choices:
1
6
5
2
Answer: A
Question: If the selling price is trippled,the profit is quadrupled, what is the percentage of profit??
Choices:
100%
150%
200%
250%
Answer: A
Question: A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Choices:
22 1/2 days
25 days
30 days
40 days
Answer: A
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car
Choices:
968 km
960 km
980 km
964 km
Answer: B
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 6 mat-weavers in 6 days?
Choices:
9
39
61
16
Answer: A
Question: What is the largest power of 3 contained in 200!
Choices:
48
66
97
39
Answer: C
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
Rs.121
165
134
123
Answer: A
Question: 12,31,68,129,?,347,516
Choices:
240
347
220
520
Answer: C
Question: Find the value of 72519 x 9999 = m.
Choices:
354545451
343435451
565656767
725117481
Answer: D
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 47 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
Choices:
42
44
46
48
Answer: C
Question: In a garden man has to pick some flowers ans has to pass thru 3 doors. Each door has a guard. Man has to give half of the flowers he had to the guard and in return guard returns the man him one flower back. how many flower should man pick so that at the end he is left with same number of flowers he has picked?
Choices:
2
3
4
5
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
20
30
40
50
Answer: A
Question: Tane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Choices:
36
70
80
150
Answer: A
Question: The difference between the ages of two person is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is
Choices:
25
35
45
30
Answer: B
Question: How many 4 digit numbers are there, if it is known that the first digit is odd, the second is even, the third is prime, the fourth (units digit) is divisible by 3, and the digit 2 can be used only once?
Choices:
150
225
300
380
Answer: D
Question: A cricket team played 200 games and won 80 percent of them. How many games did it win?
Choices:
94
160
114
124
Answer: B
Question: Teams A, B, C,D and E were in a baseball tournament. Each team played each other team once. Team A beat team D. Teams A, B and C won the exact same number of games. How many games did team D lose?
Choices:
4 games
3 games
2 games
1 game
Answer: B
Question: At Company X, senior sales representatives visit the home office once every 12 days, and junior sales representatives visit the home office once every 8 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
Choices:
25%
33%
50%
67%
Answer: C
Question: Pipe A can fill a tank in 15 hours, pipe B in 10 hours and pipe C in 3 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2
3
5
None
Answer: A
Question: If x/y= 4 and y is not '0' what % of x is 2x-y
Choices:
175percent
200%
250%
350%
Answer: A
Question: A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?
Choices:
25years
20years
22years
None of these
Answer: A
Question: WHEN A PERSON SELLS TWO ITEMS $1150 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Choices:
no loss no gain
4% loss
1% loss
5% gain
Answer: B
Question: Units digit of 7^5^6^13?
Choices:
8
9
1
11
Answer: A
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
67
26
20
23
Answer: C
Question: E and F work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that E and F will both be chosen?
Choices:
B)1/4
C)1/15
D)3/8
E)2/3
Answer: B
Question: If the sides of a triangle are 78 cm, 72 cm and 30 cm, what is its area?
Choices:
1380 cm^2
105 cm^2
1000 cm^2
1080 cm^2
Answer: D
Question: The labeled price of a table is Rs. 8,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
Choices:
Rs. 6195
Rs. 6425
Rs. 7021
None of these
Answer: C
Question: Two trains travelling in the same direction at 30 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
8.33 m
25.63 m
28.33 m
8.93 m
Answer: A
Question: Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65
Choices:
38
26
65
75
Answer: A
Question: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
45 %
45(5/11) %
44(5/11) %
None of these
Answer: B
Question: (x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. -6
II. -4
III. 5
IV. 2
Choices:
I and III only
II and III only
II and IV only
I, II, III, and IV
Answer: C
Question: A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 530 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$6,400
$2,500
$2,800
Answer: B
Question: In a day hands of clock will be together
Choices:
24 times
20 times
22 times
25 times
Answer: C
Question: Three people of different age groups are to be seated on a bench. How many different sitting arrangements are possible if oldest must always sit next to youngest ?
Choices:
4
6
8
10
Answer: A
Question: During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.6 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Choices:
$2.55
$1.51
$3.25
$3.0
Answer: B
Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
25
24
22
91
Answer: B
Question: Jane makes toy bears. When she works with an assistant, she makes 44 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
60%
100%
180%
200%
Answer: A
Question: John must arrange 4 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choices:
9
36
144
720
Answer: C
Question: A picture 30" × 20" has a frame 2½" wide. The area of the picture is approximately how many times the area of the frame?
Choices:
4
2
5
None of these
Answer: A
Question: An athlete runs 200 meters race in 56sec. His speed is?
Choices:
15km/hr
12.8km/hr
25km/hr
40km/hr
Answer: B
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, with 17 balls per box. If 94 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Choices:
1
2
3
4
Answer: A
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $50 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Choices:
213
221
223
226
Answer: C
Question: Local kennel has cats and dogs in the ratio of 3:4. If there are 8 fewer cats than dogs, how many dogs are in the kennel?
Choices:
26
24
32
30
Answer: C
Question: The sum of digits of a two digit number is 8,The difference between the digits is 6. Find the number
Choices:
94
83
71
None
Answer: C
Question: The remainder obtained when a prime number greater than 9 is divided by 9 is
Choices:
a)2 or 4
c) 3 or 5
d) 4 or 5
e) 5
Answer: A
Question: If 0 < q < 1, what is the median of the values q, q^-1, q^2, q^1/2 and q^3?
Choices:
q
q^2
q^1/2
q^3
Answer: A
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 266 m, what is its area?
Choices:
4290
2530
2515
2520
Answer: A
Question: What are the last two digits of (301*401*503*604*646*547*448*349)^2
Choices:
76
56
44
16
Answer: C
Question: The simple interest on Rs.14000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Choices:
3052.51
3028.31
3028.11
3028.81
Answer: C
Question: In the quadratic equation ax2 + 8x + 16 = 0, if the sum of two roots is -8, what is the product of the two roots?
Choices:
16
20
15
13
Answer: A
Question: A group of four women and four men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Choices:
8! – 5!4!
7! – 5!3!
7 × 2!3!2!
2!3!2!
Answer: A
Question: If F + A < F - A < A - F, which of the following is correct?
Choices:
F < A < 0.
F < 0 < A.
0 < F < A.
F > A > 0.
Answer: A
Question: If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?
Choices:
12
9
13
11
Answer: B
Question: At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 85. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
Choices:
5
6
15
30
Answer: B
Question: The diagonals of the two squares are in the ratio of 7:9 find the ratio of their area
Choices:
5:48
49:81
74:36
25:49
Answer: B
Question: The 8 leaders of the G8 nations convene in Rome and stand in a row as they get ready to have some pictures of them taken by the press. What is the probability that the picture that the New York Times' editors will randomly select for publishing the next day is one in which Berlusconi is not standing next to Obama? (assuming that there are pictures of all possible standing arrangements).
Choices:
1/4
1/2
3/4
7/8
Answer: C
Question: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
Choices:
A=30000 B=40000 C=48000
A=30000 B=40900 C=48000
A=30000 B=40090 C=48000
A=30002 B=40000 C=48000
Answer: A
Question: A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5). What is the probability that only one of them is selected?
Choices:
2/7
3/7
4/7
5/7
Answer: A
Question: A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.02%
0.2%
2%
20%
Answer: C
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
Choices:
34 D
38 D
50 D
60 D
Answer: A
Question: The height of a triangle is decreased by 25% and its base increased by 45%. Its area will
Choices:
increase by 8.75%
decrease by 25%
Increase by 25%
None of these
Answer: A
Question: If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
630
616
600
650
Answer: B
Question: What is the next number in this sequence, 1, 11, 21, 1211, 111221 , 312211 ?
Choices:
1112321
2221313
1311222
3321233
Answer: C
Question: A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 450,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
Choices:
b) 750
c) 1,000
d) 1,250
e) 1,500
Answer: D
Question: A garrison of 2000 men has provisions for 54 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:
1918
1910
1900
1919
Answer: C
Question: A certain car can travel 72 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)
Choices:
65
117
91
104
Answer: B
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 thrice 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 $0.60 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: B
Question: If 4c + 4/c + 6/c + 6c is an integer, which of the following must also be an integer?
Choices:
10+c/c^2
10(c^2 + 1)/c
c+15/c^2
c^2 -3/c
Answer: B
Question: In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?
Choices:
50
40
20
30
Answer: D
Question: 230,246,271,307,..?..
Choices:
356
518
612
372
Answer: A
Question: In how many ways 3 Indians and 2 Englishmen can be seated in a row so that they are alternate?
Choices:
96
12
18
256
Answer: B
Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Choices:
160/13 days
180/13 days
680/13 days
180/63 days
Answer: B
Question: How many factors of 660 are odd numbers greater than 1?
Choices:
4
5
6
15
Answer: D
Question: A retailer bought a machine at a wholesale price of $81 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Choices:
108
120
135
160
Answer: A
Question: The cost of producing x tools by a company is given by
C(x) = 1200 x + 5500 (in $)
a) What is the cost of 100 tools?
Choices:
125500 $
125900 $
126500 $
122500 $
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choices:
160 metres
180 metres
120 metres
200 metres
Answer: D