antoine-444/aqua_rat_dataset huggingface dataset:
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Choices:
71 years
74 years
77 years
75 years
Answer: A
Question: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.
Choices:
4/13
1/4
1/3
None of above
Answer: A
Question: In a partnership, A inverts 1/12 of the capital for 1/12 of the time, B invests 1/6 of the Capital for 1/6 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs 113000/-, B’s share is :
Choices:
Rs. 4000/-
Rs. 14000/-
Rs. 24000/-
None of these
Answer: A
Question: Two roads XY and YZ of 15 metres and 20 metres length respectively are perpendicular to each other. What is the distance between X & Z by the shortest route?
Choices:
30 metres
24 metres
25 metres
None of these
Answer: C
Question: The sum of two numbers is 25 and their difference is 15. Find their product.
Choices:
100
114
325
None
Answer: A
Question: For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 5, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choices:
9
8
7
6
Answer: C
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 4 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
Choices:
4
6
8
10
Answer: C
Question: If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {7,8,9}, what`s the probability that xy will be even?
Choices:
1/3
1/2
5/6
2/3
Answer: D
Question: If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Choices:
1
3
9
7
Answer: D
Question: If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Choices:
6
7
5
1
Answer: B
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 40 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choices:
70%
75%
85%
96%
Answer: D
Question: In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
32%
40%
52%
Answer: A
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is ?
Choices:
45 meter
50 meter
55 meter
None of these
Answer: B
Question: The cost of five chairs and three tables is Rs.3110. Cost of one chair is Rs.210 less than cost one table. What is the cost of two tables and two chairs?
Choices:
Rs.1660/-
Rs.2600/-
Cannot be determined
None of these
Answer: A
Question: A man is 22 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
Choices:
20 years
22 years
24 years
26 years
Answer: A
Question: X, Y and Z enter into partnership. X invests some money at the beginning, Y invests double the amount after 6 months, and Z invests thrice the amount after 8 months. If the annual gain be Rs.6000. X's share is?
Choices:
2000
2100
2200
2300
Answer: A
Question: It costs Rs. x each to make the first thousand copies of a compact disk and Rs. y to make each subsequent copy. If z is greater than 1,000, how many Rupees will it cost to make z copies of the compact disk?
Choices:
zx - zy
1000 (z - x) + xy
1000 (z - y) + xz
1000 (x- y) + yz
Answer: D
Question: One hour after Yolanda started walking from X to Y, a distance of 60 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 6 miles per hour, how many miles had Bob walked when they met?
Choices:
25
28
30
30.5
Answer: C
Question: 1 men takes 37$ to Eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat. for 1 pizza 0% off. for 2 pizza % off for 3 pizza 8% off. pizza without discount is 10$. How much that man eats the pizza.
Choices:
3
4
5
6
Answer: A
Question: 150 is increased by 40%. Find the final number.
Choices:
210
180
190
220
Answer: A
Question: The probability of rain showers in Barcelona on any given day is 0.7. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choices:
0.189
0.432
0.72
0.288
Answer: A
Question: Two trains leave the same train station at 6:00 am and 6:45 am and they travel at 100 kph and 125 kph respectively. How many kilometers from the train station will the two trains be together?
Choices:
325
350
375
400
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
91.2 cm
91.3 cm
91.9 cm
Answer: A
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for five years?
Choices:
31500
29989
28800
29883
Answer: A
Question: If 2ab - c = 2a(b - 2c), which of the following must be true?
Choices:
a=1/2 and b=2
b=1 and c=0
a=1 or b=0
a=1/4 or c=0
Answer: D
Question: Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 4914 Nis, how much more money does Nick contribute than Archi?
Choices:
212 Nis
234 Nis
245 Nis
288 Nis
Answer: B
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 10km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
20 hours
Answer: D
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
Choices:
9
16
18
21
Answer: B
Question: A man can row downstream at 18 kmph and upstream at 12 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
3
6
4
9
Answer: A
Question: If r = 2^3 * 5^2 * 7 and s = 2^3 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
Choices:
2^3 * 5
2^3 * 5^2
2*3*5*7
2^3 * 3^2 *5^2 * 7
Answer: A
Question: What is the square root of 36, divided by 6?
Choices:
36
122
6
1
Answer: D
Question: In 10 years,A will be twice as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
Choices:
29 Years
39 Years
49 Years
59 Years
Answer: B
Question: The H.C.F. and L.C.M. of 0.63, 1.05 and 2.1
Choices:
(i)0.21(ii)5.30
(i)0.21(ii)6.30
(i)1.21(ii)6.50
None of these
Answer: B
Question: I flew my tiny seaplane to visit my mother. On the flight up, I flew at 140 mph. On the way home, I flew 88 mph. What was my average speed for the trip?
Choices:
114 mph
88 mph
100 mph
99 mph
Answer: A
Question: Pradeep has to obtain 25% of the total marks to pass. He got 185 marks and failed by 25 marks. The maximum marks are
Choices:
840
800
1000
900
Answer: A
Question: On what sum will the compound interest for 2 1⁄2 years at 10% amount to Rs. 31762.5?
Choices:
Rs.30000
Rs.25000
Rs.20000
Rs.30000
Answer: B
Question: A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?
Choices:
2.15 pm
3.15 pm
3.15 am
None of them
Answer: A
Question: 2 no's are respectively 40% & 60% more than 3rdnumber. Find the ration of two numbers ?
Choices:
5 : 7
7 : 8
7 : 9
7 : 11
Answer: B
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is:
Choices:
210
216
217
225
Answer: B
Question: A single discount equivalent to the discount series of 10%, 10% and 5% is?
Choices:
23.05
21.65
23.45
23.15
Answer: A
Question: What is the value of n if the sum of the consecutive odd intergers W from 1 to n equals 169?
Choices:
25
37
33
29
Answer: A
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Choices:
34 yrs
27 yrs
28 yrs
19 yrs
Answer: A
Question: An aircraft is flying at a height of 3000m from the ground at an average speed of 400 km/hr while descending. It has to travel 5 kms before it can touch down the runway and start operating its break system. It will take less than 10 seconds to reach the touch down point. How far it is from the touch down point if it had been on they ground.
Choices:
4 kms
3 kms
6 kms
none of these
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/9%
7 1/3%
5 1/3%
1 1/3%
Answer: A
Question: How many three digit numbers can having only two consecutive digits identical is
Choices:
162
168
163
None of these
Answer: A
Question: If m^2-8m+1=0,then m^3+m^(-3)= ?
Choices:
488
489
457
495
Answer: A
Question: The ratio of the radius of two circles is 2: 7, and then the ratio of their areas is?
Choices:
2:9
1:9
4:49
3:4
Answer: C
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1215. Find the number to be multiplied.
Choices:
132
135
136
138
Answer: B
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different arrangements of plays can be run, if the same play can’t be run more than once?
Choices:
125
243
504
729
Answer: C
Question: 3889 + 16.952 - ? = 3854.002
Choices:
51.95
45.97
47.59
45.79
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180
288
127
122
Answer: A
Question: 8597 - ? = 7429 - 4358
Choices:
5706
5526
5476
None of these
Answer: B
Question: Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is
Choices:
36 years
38 years
40 years
None
Answer: B
Question: Which of the following is closer to (20!+19!)/(20!-19!)?
Choices:
13
1
3
7
Answer: B
Question: Let X be the smallest positive integer such that 28 and 42 are factors of 678 - X, so the value of X is:
Choices:
48
6
62
34
Answer: B
Question: If |8y−3|=|2y+7|, which of the following could be a value of y?
Choices:
5/3
2/5
-2/3
-1
Answer: A
Question: A sum fetched total simple interest of 4016.25 at the rate of 10 p.c.p.a. in 5 years. What is the sum?
Choices:
8032.5
4462.5
8900
None of these
Answer: A
Question: The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
Choices:
4
5
6
7
Answer: A
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is 3/4 empty, it is filled with brand X gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand X gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Choices:
42%
43%
43.75%
44%
Answer: C
Question: How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?
Choices:
1092
1082
1192
1292
Answer: A
Question: A train 710 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
277
500
297
590
Answer: D
Question: Jane makes toy bears. When she works with an assistant, she makes 53 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:
70%
100%
180%
200%
Answer: A
Question: A man takes 5hr 45min in walking to certain place and riding back. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is?
Choices:
7 hr 45 min
6 hr 45 min
6 hr 15 min
6 hr 25 min
Answer: A
Question: Two sets of 7 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Choices:
17
28
42
it cannot be determined from the information given.
Answer: C
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 33% iodine solution?
Choices:
49
100
105
122
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle?
Choices:
363 sq m
452 sq m
428 sq m
528 sq m
Answer: A
Question: A Cuban cigar would cost 2 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Choices:
15.7$.
25.5$.
35$.
37.4$.
Answer: A
Question: If 5 and 8 are factors of 60n, what is the minimum value of n?
Choices:
2
7
14
56
Answer: A
Question: Find the average of first 40 natural numbers.
Choices:
20.5
19.5
19
20
Answer: A
Question: If an item that originally sold for o dollars was marked up by m percent and then discounted by n percent, which of the following expressions represents the final price of the item?
Choices:
(10,000o + 100o(m – n) – mno)/10,000
(100o(m – n) – mno)/10000
(100o(n – m) – mno)/10000
10000 /(m – n)
Answer: A
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is?
Choices:
Rs. 3900
Rs. 4980
Rs. 5000
Rs. 5900
Answer: A
Question: A person want to give his money of $2700 to his 3 children A,B,C in the ratio 5:6:9. What is the A+C share?
Choices:
$1890
$3500
$1500
$5640
Answer: A
Question: An article when sold at a gain of 5% yields Rs. 15 more than when sold at a loss of 5%. The cost price of the article is:
Choices:
Rs. 150
Rs. 80
Rs. 64
None of these
Answer: A
Question: In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.75 sec
5 sec
12.5 sec
6 sec
Answer: A
Question: Simplify (212 * 212 + 312 * 312 )
Choices:
142088
142188
142288
None of these
Answer: C
Question: (3*10^2)*(4*10^-2)=?
Choices:
12
1200
1.2
14.11
Answer: A
Question: The combined salaries of three brothers is $45,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choices:
10,000
15,000
20,000
22,000
Answer: A
Question: The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 1988, the price of commodity X was 4.20 and that of Y was 6.30, in which year will commodity X cost 40 paise more than commodity Y?
Choices:
1998
1999
2000
None of these
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 second
22.1 sec
32.1 sec
13.2 sec
Answer: A
Question: A certain team consists of 5 professors and 4 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
Choices:
80
86
92
98
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places?
Choices:
23.59
23.76
23.12
23.57
Answer: D
Question: Which of the following could be the sum of the reciprocals of two different prime numbers?
Choices:
10/12
11/30
23/50
19/77
Answer: A
Question: A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 200 square feet, what is the total length of the fence, in feet?
Choices:
20
30
40
80
Answer: C
Question: The price of rice is reduced by 2%. How many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?
Choices:
49 kg
50 kg
51 kg
None
Answer: B
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, how long will it take to fill the tank?
Choices:
8 min
4 min
6 min
None of these
Answer: A
Question: H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
Choices:
790
840
180
120
Answer: C
Question: A train sets off at 2:00 pm at the speed of 70 km/h. Another train starts at 3:00 pm in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Choices:
10:00
11:00
11:30
12:00
Answer: A
Question: The H.C.F. of two numbers is 12 and their difference is 12. The numbers are
Choices:
70, 82
94, 106
84, 96
None
Answer: C
Question: A positive number x is multiplied by 4, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
1/3
1/2
Answer: C
Question: A(5, w^2) is the (x, y) coordinate of point located on the parabola Y = X^2 + 11. What is the value of w?
Choices:
4.
5.
6.
9.
Answer: C
Question: If x,2x+2,3x+3 are the first three terms of a GP,then what is its fourth term?
Choices:
-12.5
-13.5
-14.5
-15.5
Answer: B
Question: In a vessel, there are 10 litres of alcohol. An operation is defined as taking out five litres of what is present in the vessel and adding 10 litres of pure water to it. What is the ratio of alcohol to water after two operations?
Choices:
1 : 5
1 : 1
1 : 2
1 : 9
Answer: A
Question: an article with cost price of 240 is sold at 20% profit. what is the selling price?
Choices:
288
204
207
210
Answer: A
Question: If a fair coin is tossed seven times, what is the probability of getting exactly five heads in a row?
Choices:
1/16
3/32
3/64
5/128
Answer: D
Question: (8^16)+(16^13)+(4^22) = ?
Choices:
(6)*(2^48)
(9)*(2^49)
(28)*(2^53)
2^148
Answer: C
Question: A man sold 18 toys for Rs. 16800, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
Rs. 800
Rs.500
Rs.900
Rs. 990
Answer: A
Question: If A, B and C together can finish a piece of work in 2 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
4 days
3 days
2 days
7 days
Answer: B
Question: Six students - 3 boys and 3 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
B)36
C)72
D)240
E)720
Answer: B
Question: What is the probability for a family with five children to have two boys and three girls (assuming the probability of having a boy or a girl is equal)?
Choices:
1/4
3/8
3/16
5/16
Answer: D
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3 grams
825 1/3 grams
810 1/3 grams
870 1/3 grams
Answer: A
Question: Pick the odd man out:
154, 235, 352, 460, 324
Choices:
324
279
266
0002
Answer: A
Question: 23, 29, 31, 37, 41, 43, (...)
Choices:
48
47
59
61
Answer: B
Question: A man divides $8400 Among 5 Sons, 4 Daughters and 1 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
Choices:
B)$1000
C)$800
D)$1200
E)$400
Answer: B
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (10,0) and (10,6). If a line through (1,1) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: If x^6 + y^6 = 500, then the greatest possible value of x is between
Choices:
0 and 3
6 and 9
9 and 12
12 and 15
Answer: A
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
90
40
23
60
Answer: A
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
9
4
7
1
Answer: C
Question: Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2-12y+32=0
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: C
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1100, what is the reduced price for kg?
Choices:
s.46
s.55
s.41
s.42
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 810 sq. feet, how many feet of fencing will be required?
Choices:
40
68
84
None
Answer: C
Question: A train 130 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choices:
60 kmph
66 kmph
72 kmph
82 kmph
Answer: C
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 3 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 5
Baseball 4
Choices:
9
11
12
17
Answer: A
Question: The fuel indicator in a car shows 1/5th of the fuel tank as full. When 22 more liters of fuel are poured in to the tank, the indicator rests at the 3/4of the full mark. Find the capacity of the tank.
Choices:
35 litres
30 litres
40 litres
None of these
Answer: C
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 185220, then population in 1978 was?
Choices:
160000
187899
178968
789698
Answer: A
Question: A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts.
Choices:
27:25
23:27
23:24
23:26
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform?
Choices:
55 min
48 min
67 min
45 min
Answer: B
Question: How long will it take a sum of money invested at 6 % p.a. S.I. to increase its value by 60%?
Choices:
12 years
10 years
15 years
8 years
Answer: B
Question: If x and y are different integers, both divisible by 11, then which is not necessarily true?
Choices:
x - y is divisible by 11
xy is divisible by 11
x + y is divisible by 11
x + y is divisible by 22
Answer: D
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 2?
Choices:
1/36
2/11
3/13
1/5
Answer: A
Question: How many Three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is replaced?
Choices:
10
15
20
30
Answer: C
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab.
Choices:
10
15
18
20
Answer: A
Question: The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Choices:
3:5
4:3
data inadequate
None of these
Answer: D
Question: (X)+4671+6514-7687=19190. Calculate the value of X
Choices:
15692
15687
15112
15690
Answer: A
Question: If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
11.25°
18°
15°
Answer: B
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 50 years now, the son's age 10 years back was?
Choices:
15yr
14yr
10yr
20yr
Answer: A
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/16
Choices:
b) 6
c) 10
d) 16
e) 19
Answer: D
Question: A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
9/11
7/11
6/11
Answer: A
Question: The volume of a cube is 1728 cc. Find its surface?
Choices:
864
299
267
289
Answer: A
Question: Deepak can read x pages in 10 minutes. At this rate, how long will it take him to read y pages?
Choices:
(5/x)*y
(10/x)*y
(10x)*y
(13/x)*y
Answer: B
Question: The speed of a railway engine is 84 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:
Choices:
18
16
17
14
Answer: C
Question: Two out of ten employees are capable of doing a certain task. Sixty percent of the five employees, including the two who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Choices:
66.66%
13.33%
38.33%
23.33%
Answer: A
Question: Eight women of eight different heights are to pose for a photo in two rows of four. Each woman in the second row must stand directly behind a shorter woman in the first row. In addition, all of the women in each row must be arranged in order of increasing height from left to right. Assuming that these restrictions are fully adhered to, in how many different ways can the women pose?
Choices:
14
15
16
18
Answer: A
Question: Can you find the smallest non fractional number such that
If the number gets divided by 7 , we get the remainder of 1;
If the number gets divided by 8 , we get the remainder of 2
If the number gets divided by 9 , we get the remainder of 3;
If the number gets divided by 10 , we get the remainder of 4.
Choices:
3210
2150
2518
2300
Answer: C
Question: In a race where 10 cars are running, the chance that car X will win is 1/7, that Y will win is 1/3 and that Z will win is 1/5. Assuming that a dead heat is impossible, find the chance that one of them will win.
Choices:
1/180
71/105
21/113
57/120
Answer: B
Question: The area of a square field is 4802 m(power)2 the length of its diagonal is:
Choices:
98m
95m
105m
96m
Answer: A
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum Q of all the digits of the integers from 0 to 99 inclusive?
Choices:
810
900
1000
1100
Answer: B
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Find the time required by the first pipe to fill the tank ?
Choices:
15 hours
17 hours
18 hours
20 hours
Answer: A
Question: X starts a business with Rs.54000. Y joins in the business after 9 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2 : 1
8 : 3
3 : 5
8 : 1
Answer: D
Question: A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 49 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
75x
34.2x
24x
x/75
Answer: B
Question: If the number of boys in a class are 8 times the number of girls, which value can never be the total number of boys?
Choices:
A - 16
C - 10
D - 11
E - 12
Answer: A
Question: Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7800 less if they could find two more equal investors. How much is the total investment in the new business.
Choices:
a)	$ 58,500
c)	$ 21,000
d)	$ 5,400
e)	$3,600
Answer: A
Question: Evaluate combination
16C2
Choices:
120
10
1
0
Answer: A
Question: Find the largest number which divides 62,132,237 to leave the same reminder
Choices:
32
35
45
55
Answer: B
Question: Laura took out a charge account at the General Store and agreed to pay 9% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Choices:
$37.10
$37.16
$38.10
$38.15
Answer: D
Question: A number of 47 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choices:
12
15
16
17
Answer: B
Question: In the rectangular coordinate system, points (2, 0) and (– 2, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
Choices:
2
8
16
None of the above
Answer: A
Question: In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
Choices:
3128
3120
3122
3124
Answer: B
Question: If a and b are nonzero integers such that 2a+1 = 5b+1, then each of the following must be true EXCEPT
Choices:
ab is positive.
On the number line, b lies between 0 and a.
The ratio of a to b is equivalent to 10/4.
a – b is positive.
Answer: D
Question: A corporation seven times its annual bonus to 5 of its employees. What percent of the employees’ new bonus is the increase?
Choices:
85.71%
3.12%
4.78%
3.69%
Answer: A
Question: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?
Choices:
2/3 kmph
1/4 kmph
1/2 kmph
1/6 kmph
Answer: C
Question: 1/2, 1/4, 1/8, 1/16, 1/32,1/64, 1/128 ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
Choices:
0.01 < x < 0.1
0.001 < x < 0.01
0.0001 < x < 0.001
0.000001 < x < 0.00001
Answer: D
Question: The population of a town is 10000. It increases annually at the rate of 15% p.a. What will be its population after 2 years?
Choices:
13350
13225
13500
13600
Answer: B
Question: Ifaequals the sum of the even integers from 2 to 100, inclusive, andbequals the sum of the odd integers from 1 to 99, inclusive, what is the value of a - b ?
Choices:
50
19
20
21
Answer: A
Question: maximun number of identical pieces(of same size) of a cake by making only 3 cuts?
Choices:
7
8
9
5
Answer: B
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $30,000?
Choices:
$29,232.
$38,976.
$39,679.
$36,796.
Answer: A
Question: The ratio of two numbers is 4 : 5 and their H.C.F. is 4. Their L.C.M. is
Choices:
22
56
80
67
Answer: C
Question: If Ajay drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?
Choices:
24
30
18
19
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
150 meter
666 meter
155 meter
144 meter
Answer: A
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 155 m. Then, A wins by:
Choices:
20m
40 m
20m
23m
Answer: B
Question: A city council will select 2 of 9 available firefighters and 1 of 5 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choices:
72
144
180
432
Answer: C
Question: A train passes a station platform in 35 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
225
166
1811
Answer: B
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
5.6%
5.6%
9.6%
1.6%
Answer: B
Question: City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:35 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
Choices:
5:30
6:00
6:35
7:00
Answer: C
Question: If a: b :: 3 : 7, then what is (5a+2b): (a-2b)?
Choices:
-57:11
11 : 10
-29 : 11
-1 : 10
Answer: C
Question: Two full tanks one shaped like the cylinder and the other like a cone contain liquid fuel the cylindrical tank held 500 lts more then the conical tank After 200 lts of fuel is pumped out from each tank the cylindrical tank now contains twice the amount of fuel in the canonical tank How many lts of fuel did the cylindrical tank have when it was full?
Choices:
1200
2879
27976
27711
Answer: A
Question: By selling 12 pens for a rupee a woman loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
14
45
8
65
Answer: C
Question: In a class, the teacher wrote a set of consecutive integers beginning with 1 on the blackboard. Little Johnny came and erased one number. The average of the remaining numbers was 2741327413. What was the number that Little Johnny erased?
Choices:
9
11
13
15
Answer: B
Question: If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth?
Choices:
Rs.{(b*x)/a}
Rs.{(b*x)/j}
Rs.{(b*x)/l}
Rs.{(b*x)/as}
Answer: A
Question: A mixture of certain quantity of milk with 16 liters of water is worth 90 P per liter. If pure milk be worth Rs1.08 per liter, how much milk is there in the mixture?
Choices:
90
80
75
70
Answer: B
Question: Tough and Tricky questions: Arithmetic.
(56^2 + 56^2)/28^2 =
Choices:
18
29
8
116
Answer: C
Question: A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The rate on interest per annum is.
Choices:
5%
6%
7%
8%
Answer: A
Question: A corporation ten times its annual bonus to 25 of its employees. What percent of the employees’ new bonus is the increase?
Choices:
44%
38%
9%
90%
Answer: D
Question: Of the 200 stamps in a collection, 80 are foreign and 50 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Choices:
90
100
130
150
Answer: A
Question: In a tennis match if the first serve is not legal, that means a fault a second serve is allowed. Normally, 20 to 40 serves are required in a set of tennis match. At the end of a set, set summary stats reveal that first serves percentage was 63%. If m out of n were first serves then m + n is equal to
Choices:
1.53n
1.63n
2.63n
3.63n
Answer: B
Question: In the faculty of Reverse-Engineering, 200 second year students study numeric methods, 400 second year students study automatic control of airborne vehicles and 100 second year students study them both. How many students are there in the faculty if the second year students are approximately 60% of the total?
Choices:
834
633
654
812
Answer: A
Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 180 feet in circumference.After how many minutes are the three of them together again?
Choices:
3 mins
15 mins
3 mins
7 mins
Answer: A
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is ?
Choices:
1/26
1/25
1/29
1/23
Answer: A
Question: Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 40% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
Choices:
0.9G
0.925G
0.95G
0.975G
Answer: D
Question: In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 25th in an arithmetic progression if the sum of the 11th and 15th terms of the sequence is 96?
Choices:
48
55
96
108
Answer: A
Question: A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.
Choices:
180
250
200
225
Answer: B
Question: Exactly two sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 2 times and the die lands with a red side up for the first time on the second roll?
Choices:
0.16
0.3
0.32
0.56
Answer: A
Question: The average salary per head of the entire staff of an college including the lecturer and professors is Rs.90. The average salary of professors is Rs.600 and that of the lecturer is Rs.84. If the number of professors is 2, find the number of professors in the office?
Choices:
1000
1020
1200
1240
Answer: B
Question: A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The
area of the lawn is (1/6) hectares. Find breadth of the lawn.
Choices:
20 m
25 m
35 m
50 m
Answer: D
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Choices:
2 years
9 years
5 years
3 years
Answer: A
Question: In how many years will a sum of money doubles itself at 5% per annum simple interest
Choices:
28 years
10 years
20 years
21 years
Answer: C
Question: An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?
Choices:
31502
21250
30240
84045
Answer: C
Question: A man walking at the rate of 6 km/hr crosses a bridge in 15 minutes. The length of the bridge is ______.
Choices:
1250 m
1500 m
1800 m
2300 m
Answer: B
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 kmph
2 kmph
4 kmph
6 kmph
Answer: A
Question: If 70 percent of the members of a certain organization are women and 7/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization.
Choices:
I,II
III
II
I,II & III
Answer: A
Question: A certain deck of cards contains 2 black cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not black?
Choices:
15/28
9/16
1/32
1/16
Answer: A
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 6.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choices:
4 p.m.
6 p.m.
7 p.m.
None of these
Answer: A
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 4km/hr. Total time of travel is 18 hours. What is the maximum distance he
can cover?
Choices:
40km
60km
80km
90km
Answer: C
Question: In the exam the average was found to be p mark. After deducting typographical error the average marks of 94 student reduced from 84 to 64 . Due to this the average came down by 18.8 marks. What was the number of students who took the exam?
Choices:
100
110
130
160
Answer: A
Question: A vessel of capacity 2 litre has 25% of alcohol and another vessel of capacity 6 litre had 30% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
23%.
49%.
29%.
51%.
Answer: A
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 4 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Choices:
6 hours
10 hours
12 hours
15 hours
Answer: A
Question: If 0.45: x : : 4 : 2, then x is equal to
Choices:
0.225
0.254
0.256
None
Answer: A
Question: The 480 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choices:
20
30
40
90
Answer: D
Question: A man on tour travels first 160 km at 56 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
35.55 km/hr
65.9 km/hr
36 km/hr
71 km/hr
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
Choices:
200 Sec
167 Sec
197 Sec
179 Sec
Answer: A
Question: The present population of a town is 3888. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choices:
2100
3500
3600
2700
Answer: D
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
24
22 days
27 days
21 days
Answer: A
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 9/3 %
33 1/3 %
39 1/3 %
23 1/3 %
Answer: B
Question: if price of t.v set is reduced by 18%, then its sale increases by 72%, find net effect on sale value
Choices:
41
46
47
48
Answer: A
Question: If g, h, and i are each equal to 1 or 0, which of the following options will not be a correct value for e, given the equation e = g/5 + h/5^2 + i/5^3.
Choices:
2/25
1/25
6/25
6/125
Answer: A
Question: If the speed of X meters per second is equivalent to the speed of Y meters per hour, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
3600x
18x/5
60x
3600000x
Answer: A
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
3
23
9
Answer: A
Question: A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 50% of which are not silver, what percentage of total number of cars are silver?
Choices:
35%
40%
45%
50%
Answer: B
Question: Of the votes cast on a certain proposal, 68 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Choices:
340
380
420
460
Answer: A
Question: Using all the letters of the word "LIVE", how many words can be formed, which begin with L and end with E?
Choices:
4
5
6
2
Answer: D
Question: Which of the following is satisfied with |x-4|+|x-3|<5?
Choices:
1<x<6
2.5<x<4.5
2.5<x<4
3<x<4
Answer: A
Question: Susan, Tim, Matt and Kim need to be seated in 4 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
12
80
240
60
Answer: A
Question: H.C.F of 136, 144 and a third number is 8 and their L.C.M is 2^4 * 3^2 * 17 * 7. The third number is:
Choices:
248
360
424
168
Answer: D
Question: Five balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
Choices:
90
120
150
180
Answer: C
Question: In a school of 800 students, 44% wear blue shirts, 28% wear red shirts, 10% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
Choices:
132
144
156
168
Answer: B
Question: If 10 gallons of grape juice are added to 30 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Choices:
25%
28%
32.5%
50%
Answer: C
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 17 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Choices:
40.3
40.6
40.8
None of the above
Answer: A
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
500
600
20
25
Answer: A
Question: A man gains 40% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
180%
150%
160%
170%
Answer: A
Question: Replace The Asterisk Mark Below With Correct Number ?
2 {38} 3
4 {1524} 5
6 {3548} 7
8 {****} 9
Choices:
6380
7298
8332
3829
Answer: A
Question: On a certain farm the ratio of horses to cows is 6:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 3:1. After the transaction, how many more horses than cows would the farm own?
Choices:
50
60
70
80
Answer: C
Question: The forth proportional to 12,8,15 is?
Choices:
12
18
10
24
Answer: C
Question: A raffle is being held at a party with 25 guests. Each guest has a numbered ticket (1 through 25). Three numbers will be randomly chosen and prizes given out. Paul and Jane have numbers 22 and 23. What is the probability both will win a prize?
Choices:
1/3
1/100
1/10
3/25
Answer: B
Question: A train 200 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 10 km/hr in the direction opposite to that in which the train is going?
Choices:
6
10
9
5
Answer: B
Question: If w is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of w ?
Choices:
12
14
16
18
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
17
12
15
18
Answer: B
Question: The overall age of X and Y is 10 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
10
12
17
19
Answer: A
Question: A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 105 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
Choices:
46
40
35
38
Answer: B
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices?
Choices:
243
273
284
325
Answer: A
Question: A 120 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
225 meter
380 meter
435 meter
None of these
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
Rs.7800
Rs.8100
Rs.8112
none of these
Answer: C
Question: The CITY club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly P new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
Choices:
3^11 * 5^11
3^12 * 5^12
3^11 * 5^12
60^12
Answer: C
Question: If the average marks of three batches of 55, 60 and 65 students respectively is 50, 46, 60, then the average marks of all the students is
Choices:
54.68
52.27
54.58
None of these
Answer: B