antoine-444/aqua_rat_dataset huggingface dataset:
Question: If q and r are both odd numbers Z, which of the following must also be odd?
Choices:
(q + r)^2
q(q + r)
(qr)^2
q/r
Answer: C
Question: Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ?
Choices:
9, 6, 11
9, 6, 17
9, 6, 12
9, 6, 19
Answer: C
Question: Given that E and F are events such that P(E) = 25, P(F) = 75 and P(E n F) = 75,
find P (E|F) and P(F|E)
Choices:
46
52
12
3
Answer: D
Question: In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?
Choices:
68 kg
69 kg
66.5 kg
None of the above
Answer: C
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Choices:
384 cm2
156 cm2
657 cm2
887 cm2
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 7.5 km apart, if they walk in the same direction?
Choices:
14 hrs
15 hrs
17 hrs
None
Answer: B
Question: A man sells a horse for Rs.420 and loses something, if he had sold it for Rs.620, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
66.6
55.2
60.6
71
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
40 years
50 years
55 years
none of these
Answer: A
Question: A and B complete a job in 6 days. A alone can do the job in 8 days. If B works alone, how many days will it take to complete the job?
Choices:
16
20
24
28
Answer: C
Question: Two buses and a van were employed to transport a class of students on a field trip. 3/5 of the class boarded the first bus. 1/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
Choices:
a) 7/10
c) 11/15
d) 23/30
e) 4/5
Answer: A
Question: n how many different ways can a group of 8 people be divided into 4 teams of 2 people each?
Choices:
105
168
420
2520
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $55. What is the cost of the carpet, in dollars per square yard? (1 square yard = 3 square feet)
Choices:
11xy/3
3xy/11
165/(xy)
297xy
Answer: C
Question: A certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars?
Choices:
3/1944
2/96
1/1944
1
Answer: A
Question: For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(99) – g(97)?
Choices:
98
0
99
97
Answer: A
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to q% of stall’s revenue and accounted for r% of sales of juice tetra packs. Which of the following expresses q in terms of r?
Choices:
200r/(250-r)
200r/(300-r)
250r/(400-r)
300r/(500-r)
Answer: B
Question: The product of all the prime numbers less than 16 is closest to which of the following powers of 10 ?
Choices:
10^8
10^7
10^6
10^5
Answer: D
Question: Can V and can В are both right circular cylinders. The radius of can V is twice the radius of can B, while the height of can V is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can V with the same brand of gasoline?
Choices:
$2
$4
$8
$16
Answer: D
Question: The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the result is 2. What is the radius of circle O?
Choices:
1
3
4
5
Answer: A
Question: BCB, DED, FGF, HIH, ___
Choices:
QLM
JKJ
PSQ
IOP
Answer: B
Question: All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes are there whose three faces are coloured ?
Choices:
8
16
24
2
Answer: A
Question: Jerry has 3 flavors of ice cream in his parlor. How many options are there for George to pick a one-flavor, two-flavor or three-flavor order?
Choices:
3
4
7
8
Answer: C
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Choices:
288
600
888
121
Answer: B
Question: In a group of 1 boy and 9 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
Choices:
68
76
84
92
Answer: C
Question: How much 60% of 50 is greater than 45% of 30?
Choices:
91
16.5
17
12
Answer: B
Question: If 3-X < (2-5X)/3, which of the following is correct?
Choices:
X < -7/2.
X > 5.
-5 < X < 0.
0 < X < 5.
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations R of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!/5!
10!
10!*5!
Answer: A
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choices:
1
40
1/40
80
Answer: B
Question: A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Choices:
276
230
240
250
Answer: A
Question: A bag has 9 green balls and 23 pink balls. How many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1:1?
Choices:
11
12
13
14
Answer: D
Question: A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is:
Choices:
24 km/hr
26 km/hr
23 km/hr
22 km/hr
Answer: A
Question: If by reduction of rupee 1 per kg in the price,a person can buy one kg more for Rs.56. find the original price of the per kg?
Choices:
8rs/kg
9rs/kg
6rs/kg
5rs/kg
Answer: A
Question: Of the 500 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Choices:
100
115
130
325
Answer: D
Question: one kilo gram coffee is Rs. 126 and Rs. 135 are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the 3rd variety per kilo gram is?
Choices:
133
175.5
178
190
Answer: B
Question: A train covers a distance of 36 km in 12 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Choices:
340
350
360
370
Answer: B
Question: Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
Choices:
26/31
26/19
26/33
26/38
Answer: C
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Choices:
1315
1015
1215
1715
Answer: B
Question: 15 : 5 seconds :: ? : 10 minutes
Choices:
15
30
25
30
Answer: B
Question: Certain sum becomes 3 times it self at compound interest in 10 years. In how many years it becomes 9 times?
Choices:
20 Years
30 Years
40 Years
45 Years
Answer: A
Question: Of the 3,600 employees of Company X, 1/6 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?
Choices:
22.2%
20%
12.5%
11.7%
Answer: D
Question: Two circles are there one with arc area 60digree equal to 45digree of another circle find the area of circle1:circle2 ratio
Choices:
3:4
1:2
2:3
1:3
Answer: A
Question: A $500 investment and a $1,500 investment have a combined yearly return of 22 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choices:
20%
27%
25%
12%
Answer: B
Question: Robert tossed a fair coin 3 times. What is the probability that the coin landed heads up exactly twice?
Choices:
0.250
0.375
0.75
0.875
Answer: B
Question: Two unbiased coins are tossed. What is probability of getting at most one tail ?
Choices:
1/3
3/2
3/4
None of these
Answer: C
Question: Sara and Alan start a company with Rs.100000 and Rs.50000 respectively. how should they share their profits at the end of one year?
Choices:
1:2
3:8
3:1
3:2
Answer: A
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time F will it take to fill the tank now?
Choices:
50% less time
75% less time
75% more time
100% more time
Answer: A
Question: Dawson sold an item for Rs.3600/- and incurred a loss of 10%. At what price should he have sold the item to have gained a profit of 10%?
Choices:
4100
4200
4300
4400
Answer: D
Question: There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability Y that at least one will be orange?
Choices:
Y=7/10
Y=2/5
3/10
1/10
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
8m
4m
3m
2m
Answer: D
Question: How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?
Choices:
Three
Two
Five
Four
Answer: A
Question: In how much time will a train of length 100 m, moving at 54 kmph cross an electric pole?
Choices:
sec
sec
sec
sec
Answer: C
Question: There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?
Choices:
120
210
246
252
Answer: C
Question: If an integer n is to be chosen at random from the integers 1 to 84, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
Choices:
9/14
1/2
5/8
3/4
Answer: A
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
Choices:
95
100
105
110
Answer: B
Question: 82*83*84*..89 what is the digit in units place?
Choices:
0
2
3
4
Answer: A
Question: A certain company’s profit in 1996 was 25 percent greater than its profit in 1995, and its profit in 1997 was 30 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Choices:
62.5%
33%
35%
38%
Answer: A
Question: Average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choices:
120
360
240
None of these
Answer: C
Question: A sum of money is sufficient to pay A's wages for 20 days and B's wages for 30 days. The same money is sufficient to pay the wages of both for?
Choices:
12days
20days
18days
22days
Answer: A
Question: On a sum of money, the simple interest for 2 years is Rs. 326, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Choices:
14.25%
8.58%
10.5%
11.5%
Answer: B
Question: If 2x + 3y = 15; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
Choices:
19
26
22
None of these
Answer: A
Question: There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
Choices:
83 ways
85 ways
91 ways
98 ways
Answer: C
Question: An amount of Rs.3120 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Choices:
720
250
280
290
Answer: A
Question: The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277
205
88
232
Answer: B
Question: A man swims downstream 28 km and upstream 12 km taking 2 hours each time, what is the speed of the man in still water?
Choices:
10
5
2
4
Answer: A
Question: Combine terms: 12a + 26b -4b – 16a.
Choices:
-28a + 30b.
-4a + 22b
28a + 30b.
-30b+28a
Answer: B
Question: Kanul spent $35000 in buying raw materials, $40000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount?
Choices:
$93750
$89542
$95820
$84256
Answer: A
Question: In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?
Choices:
48
96
64
none
Answer: A
Question: A worker's daily wage is increased by 40% and the new wage is $35 per day. What was the worker's daily wage before the increase?
Choices:
$21
$24
$25
$28
Answer: C
Question: A division of a company consists of six men and six women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
5/22
5/33
7/33
5/66
Answer: A
Question: There are 12 towns grouped in four zones with three towns per zone. It is intended to connect the towns with a telephone lines such that each every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required ?
Choices:
90
96
144
128
Answer: A
Question: In an examination, 25% of total students failed in Hindi, 48% failed in English and 27% in both. The percentage of these who passed in both the subjects is :
Choices:
54
28
40
81
Answer: A
Question: A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?
Choices:
56
64
74
72
Answer: C
Question: A train is moving at 6/7 of its usual speed. The train is 10 minutes too late. What is the usual time (in hours) for the train to complete the journey?
Choices:
1
1.5
2
2.5
Answer: A
Question: A man is 24 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:
2
6
9
22
Answer: D
Question: A, B and C invested Rs.2400, Rs.7200 and Rs.9600 respectively, in a partnership business. Find the share of A in profit of Rs.9000 after a year?
Choices:
1125
7200
2500
2511
Answer: A
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Choices:
16
8
1
0
Answer: A
Question: Sandy bought 65 books for $1180 from one shop and 55 books for $860 from another shop. What is the average price that Sandy paid per book?
Choices:
$15
$17
$19
$21
Answer: B
Question: A rectangular lawn 70 m × 30 m has two roads each 5 metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling the road at the rate of 4 per square metre.
Choices:
1,800
1,900
1,700
None of these
Answer: B
Question: Cream costs twice as much as skim milk. A certain brand of milk is 4/5 cream and 1/5 skim milk. What fraction of the cost of this brand is due to the cream?
Choices:
4/5
5/6
7/8
8/9
Answer: D
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 91000, then the share of B is?
Choices:
B)42000
C)44098
D)43007
E)44098
Answer: A
Question: Find the average (arithmetic mean) of x and y if the average of x, y, and 50 is 20 more than the average of x, y, 50, and 70.
Choices:
120
140
180
200
Answer: D
Question: A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 30 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Choices:
30
50
51
52
Answer: A
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
64/3kmph
64/9kmph
64/6kmph
64/4kmph
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 60 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
35
18
12
38
Answer: B
Question: A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 15 minutes less than they can row it in still water. How long would they take to row down with the stream
Choices:
63 or 12 minutes
69 minutes
19 minutes
25 minutes
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 4 min, then the area of the park (in sq. m) is?
Choices:
12000 m
36000 m
80000 m
30000 m
Answer: D
Question: A set of 11 positive integers has an average of 30. Which of the following is the greatest possible value for the median of this set?
Choices:
30
36
54
46
Answer: C
Question: The present ages of three persons in proportions 3 : 7 : 5. Eight years ago, the sum of their ages was 51. Find their present ages (in years).
Choices:
16, 28, 36
15,35,25
18, 24, 32
None of these
Answer: B
Question: The diagonal of a square is the height in an equilateral triangle. If the side of the square is x, what is the side of the equilateral triangle in terms of x?
Choices:
2/√3 × x
√3x
√(8/3) × x
2√3 × x
Answer: C
Question: What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30
Choices:
1500
1600
1800
2100
Answer: C
Question: Calculate the positive root of the polynomial (x - 1)(x - 2)(x - 3)(x - 4)- 63.
Choices:
5+√37/2
3+√37/2
2+√37/2
6+√37/2
Answer: A
Question: If 1/(x+3)+1/(x-3)=1/(x+3), what is the value of x?
Choices:
3
-1
-2
-3
Answer: D
Question: A octagon marked 1, 2, 3, 4, 5,6,7 and 8 on its eight sides. four colors, pink, yellow,green and blue are used to paint the eight sides of the octagon. If the adjacent faces are painted with the different colors, in how many ways can the octagon be painted?
Choices:
4
27
12
8
Answer: D
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 40 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
5 minutes, 43.56 seconds
5 minutes, 44.44 seconds
6 minutes, 10.4 seconds
Answer: D
Question: On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
99
27
11
37
Answer: C
Question: In 1990 a total of 100 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 20 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
1/6
1/2
1/4
1/3
Answer: C
Question: Danya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: C
Question: Excluding stoppages, the speed of a train is 67 kmph and including stoppages it is 51 kmph. Of how many minutes does the train stop per hour?
Choices:
17
14
82
18
Answer: B
Question: The mark up between weights of A and B is is 20 percent of the weight of A. The markup is what percent of the weight of B ?
(markup = weight of B - weight of A)
Choices:
10%
12 1/2%
15%
16 2/3%
Answer: D
Question: In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th, 15th, 16th, 17th, 18th and 19th terms in sequence S?
Choices:
9(2^15)
21(2^14)
9(2^14)
189(2^13)
Answer: D
Question: What was the day of the week on 28th May,2006 ?
Choices:
Friday
Saturday
Sunday
None of these
Answer: C
Question: Jerry went to a shop and bought things worth Rs. 40, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.3
31.5
34.7
Answer: D
Question: Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 240 sandwiches were made, how many peanut butter sandwiches
were made?
Choices:
30
38
42
96
Answer: D
Question: Two goods trains each 250 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24 sec
48 sec
18 sec
9 sec
Answer: A
Question: If the perimeter of a rectangular park is 1000 m, its length when its breadth is 200 m is?
Choices:
100
200
300
400
Answer: C
Question: Two unbiased coins are tossed. What is probability of getting at most one tail ?
Choices:
13
32
34
None of these
Answer: C
Question: Find the area of a parallelogram with base 20 cm and height 10 cm?
Choices:
380 cm2
270 cm2
280 cm2
200 cm2
Answer: D
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choices:
152
160
168
176
Answer: A
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
176
159
162
Answer: A
Question: A monkey ascends a greased pole 10 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
Choices:
21st minute
17th minute
22nd minute
13th minute
Answer: B
Question: Which of the following equations has a solution in common with x^2 - 7x + 10 = 0 ?
Choices:
x^2 - 3x - 10 = 0
4x^2 + 6x + 2 = 0
x^2 + 10x + 25 = 0
none of the above
Answer: A
Question: Find the difference between the local value and face value of 5 in the numeral 475240 is
Choices:
4890
4995
4885
4775
Answer: B
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 100 girls, the total number of
students in the college is
Choices:
520
620
260
None of these
Answer: C
Question: There are 4 identical pens and 7 identical books. In how many ways can a person select at least one object from this set?
Choices:
12
39
(2^4 - 1)(2^7 -1)
2^11 - 1
Answer: B
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median R of x, y, and z?
I. 9
II. 10
III. 11
Choices:
II only
III only
I and II only
I and III only
Answer: D
Question: An article is bought for Rs.765 and sold for Rs.1000, find the gain percent?
Choices:
30.5%
30.7%
30.8%
30.9%
Answer: B
Question: If x/y = 2 and (a - x)/(3b - y) = 2, then the value of a/b is?
Choices:
-2
6
2
3
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Choices:
3 1/2%
4%
5 1/2 %
6 1/2 %
Answer: B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A. 111.12 m
Choices:
111.12 m
271.12 m
611.12 m
191.12 m
Answer: A
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Choices:
2205
2882
2997
1278
Answer: A
Question: A number whose fifth part increased by 4 is equal to its fourth part diminished by 4 is ?
Choices:
160
200
220
None
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
58
64
69
72
Answer: B
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Choices:
240 m
260 m
224 m
239 m
Answer: A
Question: The timing of a college is from 12 p.m to 5.00 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
56 minutes
30 minutes
48 minutes
44 minutes
Answer: A
Question: If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n?
Choices:
4
5
3
6
Answer: A
Question: A third of Paul's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?
Choices:
40
45
60
55
Answer: C
Question: If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)?
Choices:
63 : 48 : 196
56 : 40 : 186
46 : 38 : 160
43 : 20 : 170
Answer: A
Question: In how many ways 4 boys and 1 girls can be seated in a row so that they are alternate.
Choices:
288
24
256
None
Answer: B
Question: How long will it take for a sum of money to grow from Rs.5000 to Rs.20,000, if it is invested at 10% p.a simple interest?
Choices:
30 years
72 years
56 years
None
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
172 cm2
177 cm2
167 cm2
Answer: A
Question: By selling an article for $100 a man gains $20 then his gain%?
Choices:
25%
50%
20%
10%
Answer: A
Question: 1, 2, 9, 24, 120, 36,?
Choices:
5040
3040
2040
556
Answer: A
Question: A cab driver 5 days income was $200, $150, $750, $400 , $500. Then his average income is?
Choices:
$410
$400
$390
$380
Answer: B
Question: At a school, three-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is equal to the number of females, what fraction of the students speak a foreign language?
Choices:
19/30
11/15
7/15
2/5
Answer: A
Question: In a urban village of india named "owlna" , 90% people have refrigerator , 86% people have television , 80% people got computers and 80% got Air-conditionor. how many people(minimum) got all these luxury.
Choices:
36%
30%
34%
42%
Answer: A
Question: If a man lost 1% by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
14
7
11
10
Answer: C
Question: A man purchased 2 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
B)350
C)450
D)470
E)550
Answer: D
Question: If a farmer wants to plough a farm field on time, he must plough 340 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
280
720
435
679
Answer: A
Question: What percent is 120 of 90?
Choices:
133 1/3 %
132 2/3%
132 2/5%
131 1/5%
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.5 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choices:
2:3
2:4
2:1
4:7
Answer: D
Question: A boy sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
860
900
920
940
Answer: A
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
75%
95%
35%
25%
Answer: D
Question: How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
Choices:
600
6400
7200
None of these
Answer: B
Question: 79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,070 bacteria each. How many bacteria are there approximately?
Choices:
10^8
10^9
10^10
10^11
Answer: A
Question: A and B can do a piece of work in 10 days, while B and C can do the same work in 15 days and C and A in 25 days. they started working together, after 4 days A left. After another 4 days B left. In how many days C can finish the remaining work?
Choices:
32
64
96
None of These
Answer: C
Question: What is the smallest integer k for which 64^k > 4^16?
Choices:
5
6
7
8
Answer: B
Question: Find the average of all prime numbers between 30 and 50?
Choices:
39.8
12.3
41.3
15.8
Answer: A
Question: The average of first six prime numbers greater than 3 is?
Choices:
10
12
19
17.8
Answer: B
Question: The average expenditure of a man for the first five months is Rs.60 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choices:
Rs.125
Rs.165
Rs.170
none
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 50 sq. feet, how many feet of fencing will be required?
Choices:
40
25
88
78
Answer: B
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Choices:
720
760
780
800
Answer: A
Question: A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
Choices:
1/9
1/3
4/27
2/9
Answer: C
Question: A car rental company charges for mileage as follows: 9 dollars per mile for the first n miles and 10 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
Choices:
6d-n
10d-n
8d-n
12d-n
Answer: B
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1335, find the loss %?
Choices:
16
26
17
11
Answer: D
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−10, −7)?
Choices:
4
0
−2
−4
Answer: A
Question: Find the 15th term of an arithmetic progression whose first term is 2 and the common difference is 3.
Choices:
38
44
40
46
Answer: B
Question: Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
5 7/9 days
5 1/9 days
5 7/2 days
4 7/9 days
Answer: A
Question: In a dairy farm, 46 cows eat 46 bags of husk in 46 days. In how many days one cow will eat one bag of husk ?
Choices:
40 days
46 days
50 days
None of these
Answer: B
Question: Tap A runs 3 liters of water per minute into a bucket that has a total volume of 36 liters. Tap B fills a third of the bucket in 20 mins.
Working together how long will it take both taps to fill the bucket ?
Choices:
10 minutes
9 hours and 12 minutes
15 hours
1 hour and 48 minutes.
Answer: A
Question: A person can row upstream 20 kmph and downstream 30 kmph. Find the person rate in still water and rate of the stream.
Choices:
25,5
5,5
10,5
1,5
Answer: A
Question: The cost price of 18 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
63 7/11
68 9/11%
68 2/91%
62 2/11%
Answer: A
Question: Anand and Deepak started a business investing Rs. 12,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 10,800, Deepak's share is?
Choices:
Rs. 8900
Rs. 8400
Rs. 3400
Rs. 7957.9
Answer: D
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
Rs.15
Rs.11
Rs.19
Rs.12
Answer: A
Question: The diagonals of a rhombus are 14 cm and 18 cm. Find its area?
Choices:
190
150
126
292
Answer: C
Question: Mr. Yutaro’s class contains 4 boys and 12 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
Choices:
2/15
11/24
27/48
13/16
Answer: A
Question: A tour group of 25 people paid a total of $600 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$22.8
$24
$25.20
$30
Answer: A
Question: Find the missing figures :
?% of 50 = 2.125
Choices:
6.55
8.75
7.75
4.25
Answer: D
Question: A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 46 grams of protein daily, how many grams of food X are in the mixture?
Choices:
280
320
340
360
Answer: A
Question: How many odd factors does 270 have?
Choices:
4
5
6
8
Answer: A
Question: There are 99 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Choices:
4
8
69
32
Answer: C
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
66
10
99
77
Answer: B
Question: What is the probability of rolling two six-sided dice, and getting a different number on each die?
Choices:
5/6
4/9
5/9
7/18
Answer: A
Question: A box contain Red, Blue and Green colored balls. The number of Red balls is 80 and the number of Blue balls is 60.
The number of Green balls subtracted from the number of Red balls is the same as the number of Green balls added with the number of Blue balls. Then the number of Green balls is?
Choices:
green balls = 70
60
85
140
Answer: A
Question: The total age of A and B is 20 years more than the total age of B and C. C is how many years younger than A.?
Choices:
20
15
16
10
Answer: A
Question: A man can row with a speed of 40 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
378
20
27
45
Answer: D
Question: There are 6 ladies and 3 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.
Choices:
2880
8640
6560
8860
Answer: A
Question: A butler stole wine from a butt of sherry which contained
40% of spirit and he replaced,what he had stolen by wine
containing only 16% spirit. The butt was then of 24%
strength only. How much of the butt did he steal?
Choices:
2/3 OF THE BUTT
1/4 OF THE BUTT
1/8 OF THE BUTT
1/9 OF THE BUTT
Answer: A
Question: If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
Choices:
-0.5
-0.4
-0.2
10.0
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
20
21.1
23
Answer: A
Question: Calculate the different number of ways 5 boys and 3 girls can sit on a bench?
Choices:
40220
40420
40320
40325
Answer: C
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:3
9:2
9:9
Answer: A
Question: The radius of the wheel of a bus is 140 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Choices:
125
300
330
None of these
Answer: A
Question: The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Choices:
B)44
C)42
D)40
E)38
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
69
65
78
56
Answer: A
Question: If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 40% of the total. What fraction of the total is men who own cars?
Choices:
11⁄60
2⁄15
1⁄3
11⁄20
Answer: B
Question: In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?
Choices:
12600
45920
43200
None
Answer: C
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 87°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
1/120
1/80
1/60
1/40
Answer: A
Question: If the numerator of a fraction be increased by 15% and its denominator be diminished by 8% , the value of the fraction is 15/16. Find the original fraction.
Choices:
3/4
1/2
1
None of them
Answer: A
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21.5 years. What is the age of the new member ?
Choices:
19 years
22 years
23 years
24 years
Answer: A
Question: A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?
Choices:
37
40
38
27
Answer: B
Question: If an article is sold at 5% gain instead of 5% loss,the seller gets Rs 6.72 more. The C.P of the article is?
Choices:
138.55
148.81
150.45
None
Answer: B
Question: 4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)?
Choices:
10/79
12/79
13/79
14/79
Answer: A
Question: If the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters, what is the length of the rectangle, in centimeters?
Choices:
8
2
16
18
Answer: B
Question: If the sum of two numbers is 30 and the sum of their squares is 840, then the product of the numbers is
Choices:
44
80
88
30
Answer: D
Question: The 40 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?
Choices:
6
8
9
10
Answer: B
Question: Write 330,000,000,000 in scientific notation
Choices:
3.3 * 10 11
3.300 * 10 11
3.3000 * 10 11
30.3000 * 10 11
Answer: A
Question: If x + y = 13 and x – y = 3, then x^2 - y^2 =
Choices:
4
10
39
40
Answer: C
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6625, what is the length of the plot in metres?
Choices:
250
288
276
1999
Answer: A
Question: $400 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$150
$160
$200
$250
Answer: B
Question: In how many W ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choices:
864
900
936
1,296
Answer: C
Question: It is currently 8:12 PM. At what time in the morning was it exactly 205,106 minutes ago?
Choices:
9:16
9:42
9:44
9:46
Answer: D
Question: A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is?
Choices:
Rs 8922
Rs 89298
Rs 8920
Rs 8921
Answer: C
Question: In a factory, an average of 50 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 48 sets/day . The average production per day for day last 5days is ?
Choices:
36
48
38
59
Answer: C
Question: A money lender lent a total of $1800 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1800, how much did he lend to each of the two customers?
Choices:
1200; 600
1000; 800
1200; 800
None of the above
Answer: A
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?
Choices:
28000
78902
25000
27991
Answer: A
Question: If 0 < M < Y, M is an odd number and Y is a prime number, which of the following can be the value of M + Y ?
Choices:
13.
17.
10.
7.
Answer: C
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-4, 1), (1, 1), (1, -3) and (-4, -3)?
Choices:
20
24
25
30
Answer: A
Question: A cistern is normally filled in 12 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
Choices:
84 hours
30 hours
40 hours
50 hours
Answer: A
Question: By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 25?
Choices:
11
12
13
14
Answer: B
Question: what is the speed of a stream if a canoes rows upstream at 8km/hr and downstream at 10.5km/hr.
Choices:
1.25 kmph
1.35 kmph
1.27 kmph
1.22 kmph
Answer: A
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 24 minutes is
Choices:
7.2 km
7.6 km
17.6 km
27.2 km
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
111.19 m
118.12 m
311.12 m
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
78
67
56
Answer: A
Question: In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
Choices:
1 kg
800 gms
1.8 kg
None of these
Answer: A
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 8 family members in a row for the picture?
Choices:
9×8!
6×7!
10!/2!
10!
Answer: B
Question: A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze?
Choices:
154 cm2
150 m2
407 m2
None of these
Answer: A
Question: Seven friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
Choices:
12.5%
16.5%
19.5%
21.5%
Answer: A
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number H of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: Mary is expected to pay back a total sum of $819200 to her bank as mortgage. If she is expected to make a payment which is double of the previous months amount, how long will it take her to fully repay the loan if her initial payment was $400.
Choices:
15
12
10
11
Answer: D
Question: What will $500 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Choices:
$812
$864
$878
$912
Answer: B
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/19
18/17
18/12
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is
Choices:
54.68
54.6
54.58
None of these
Answer: A
Question: How many numbers amongst the numbers 7 to 56 are there which are exactly divisible by 8 but not by 6?
Choices:
1
2
3
More than 3
Answer: D
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
1:98
1:94
1:99
Answer: A
Question: The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
90, 10 kmph
50, 60 kmph
45, 55 kmph
45, 65 kmph
Answer: A
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
18%
15%
12%
14%
Answer: C
Question: The ratio of numbers is 3:4 and their H.C.F is 8. Their L.C.M is:
Choices:
96
24
48
98
Answer: A
Question: If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={12,12,12...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
Choices:
b) (1+n+m+mn)(k+1)
c) k^2(mn+n/m)
d) kmn(k+m+n)
e) None of the above.
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
277
298
100
271
Answer: C
Question: A password of a computer used four digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/16
1/8
2/5
1/2
Answer: A
Question: If x is an even integer and y is an odd integer, which of the following is an even integer?
Choices:
x+2y
3x+y
x+y^2
x+y+2
Answer: A
Question: The sum of the present age of Henry and Jill is 48. What is their present ages if 9 years ago Henry was twice the age of Jill?
Choices:
and 24
and 22
and 29
of these
Answer: C
Question: Which number can we add to 722425 to get a number exactly divisible by 456?
Choices:
335
347
361
383
Answer: A
Question: The mean of four integers L will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: In a class there are 10 boys and 25 girls. In how many ways can a boy and a girl be selected?
Choices:
250
600
530
630
Answer: A