antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks D are made of cotton?
Choices:
100
60
50
25
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
19
20
24
26
Answer: C
Question: Points M(13,22) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
Choices:
(0,5)
(0, (136^(1/2))/2)
(3/2,0)
(9,15)
Answer: D
Question: In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?
Choices:
300
400
1,000
2,500
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17
88
66
12
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
577 m
240 m
176 m
126 m
Answer: B
Question: what is the next term of this series6,10,9,15,12,20,15...?
Choices:
25
11
12
15
Answer: A
Question: Light glows for every 20 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Choices:
381 times
382 times
248 times
482 times
Answer: C
Question: Andrew started saving at the beginning of the year and had saved $160 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
Choices:
25%
44%
56%
137.5%
Answer: D
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
8176 liters
1467 liters
1184 liters
1886 liters
Answer: C
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜RAMâ€™, using each letter exactly once?
Choices:
6
5
9
1
Answer: A
Question: As part of a game, two people each must secretly choose an integer between 1 and 2, inclusive. What is the approximate likelihood that all two people will choose different numbers?
Choices:
12%
16%
20%
50%
Answer: D
Question: Find (7x + 8y ) / (x-2y) if x/2y = 3/2 ?
Choices:
25
26
27
29
Answer: D
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
B)1/3
C)1/9
D)1/2
E)1/4
Answer: A
Question: 80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
Choices:
11pie
178 pie
711 pie
1280 pie
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: B
Question: What is the units digit of (147^17)^47 ?
Choices:
3
5
7
9
Answer: A
Question: P is three times as old as Q. In 9 years, P will be twice as old as Q. How old was P three years ago?
Choices:
21
24
27
30
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
220
240
250
260
Answer: B
Question: On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 36 seconds. If they both start at the same time after how many seconds will they be side by side again.
Choices:
325
1980
425
None of these
Answer: B
Question: Data sufficiency question:
Is x has only '3' factors?
Choices:
278
208
17
101
Answer: A
Question: Ramesh can finish a work in 15 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Choices:
7 days
6 days
9 days
5 days
Answer: A
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Choices:
39:40
39:19
39:29
39:26
Answer: A
Question: A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?
Choices:
Rs.13000
Rs.14000
Rs.15000
Rs.16000
Answer: A
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
Choices:
236578
645353
456546
220025
Answer: D
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Choices:
9
7
6
5
Answer: A
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Choices:
1277
2288
1250
7178
Answer: C
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. The actual diameter of the tissue, in centimeters, is
Choices:
0.002
0.001
0.0003
0.0002
Answer: C
Question: P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
Rs.3600
Rs.2400
Rs.4000
None of these
Answer: B
Question: A 5-letter code word consists of letters A, B, C and D. If the code includes all the gour letters, how many such codes are possible?
Choices:
48
36
240
18
Answer: C
Question: Varma can read a book in k minutes. What part of the book can he read in 4 minutes?(k>8)
Choices:
k/8
8 + k
k-8
4/k
Answer: D
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Choices:
430
761
122
234
Answer: A
Question: A mixture contains milk and water in the ratio 5:4. On adding 30 litters of water, the ratio of milk to water becomes 5:7. Total quantity of milk & water before adding water to it?
Choices:
90
80
70
60
Answer: A
Question: While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:
The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are to go!
Choices:
45 Years
41 Years
36 Years
30 Years
Answer: A
Question: If {h} denote the remainder when 3h is divided by 2 then which of the following is equal to 1 for all positive integers h?
I. {2h+1}
II. {2h}+1
III. 2{h+1}
Choices:
II only
I and II
III only
II and III
Answer: B
Question: At what price must an article costing Rs.150 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 30% on the cost price?
Choices:
62.0
62.6
216.67
62.2
Answer: C
Question: A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 4 KMPH, Find the speed of the boat in still water
Choices:
10
15
20
25
Answer: C
Question: Set A consists of all the prime numbers between 15 and 36. What is the range of set A?
Choices:
13
14
17
23
Answer: B
Question: Peter has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55
How many of each type of coin does she have?
Choices:
17
18
19
20
Answer: B
Question: For what value of x, is |x – 5| + |x + 5| + |x| = 27?
Choices:
3
-3
9
-9
Answer: C
Question: If a - b = 4 and a2 + b2 = 30, find the value of ab.
Choices:
A)7
C)15
D)18
E)20
Answer: A
Question: If n is an even integer, then which of the following must be an odd integer?
Choices:
3n
3n + n^2 + 2
n^2 + 1
2n + n^2
Answer: C
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 E 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: Three years ago the average age of a family of 4 members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
A)7
C)5
D)4
E)3
Answer: A
Question: A car was driving at 50 Km/h for 30 minutes, and then at 90 Km/h for another 40 minutes. What was its average speed?
Choices:
102
75
70
65
Answer: A
Question: A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is :
Choices:
44.44%
35%
61%
None of these
Answer: A
Question: if 40% of (x-y) = 30% of (x+y) then what percent of x is y?
Choices:
10%
5%
14%
25%
Answer: C
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 10 degrees?
Choices:
2π/9
2π
5π/2
8π
Answer: A
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Choices:
5 : 7
7 : 3
7 : 5
7 : 4
Answer: B
Question: Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
Choices:
4
6
1
7
Answer: A
Question: The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is:
Choices:
0.512
0.521
0.125
0.152
Answer: C
Question: A is older than B by 5years. Seven years hence, thrice A's age shall be equal to four times that of B. Find their present ages.
Choices:
10, 5
13, 8
12, 8
8, 12
Answer: B
Question: 365:90::623:?
Choices:
36
123
63
none of these
Answer: A
Question: Each person in Room A is a student, and 1/6 of the students in Room A are seniors. Each person in Room B is a student, and 5/7 of the students in Room B are seniors. If 1 student is chosen at random from Room A and 1 student is chosen at random from Room B, what is the probability that exactly 1 of the students chosen is a senior?
Choices:
37/84
9/14
16/21
37/42
Answer: B
Question: if 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
Choices:
8
7
6
4
Answer: A
Question: Cars P and Q are approaching each other on the same highway. Car P is moving at 47 mph northbound and Car Q is moving at 53 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Choices:
3:45 pm
4:00 pm
4:15 pm
4:30 pm
Answer: C
Question: Jimâ€™s Taxi Service charges an initial fee of $2.0 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$5.15
$4.80
$5.05
$5.40
Answer: A
Question: The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero,
Choices:
intersect at one point but not perpendicular
intersect at two points
perpendicular
none of the above
Answer: C
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 16 years replaced by a new boy. The age of the new boy is?
Choices:
12 years 8 months
16 years 4 months
17 years 10 months
17 years
Answer: A
Question: Sally bought a dozen items at 120.00 per dozen. What will Sally have to sell each item for to generate a 15% profit?
Choices:
11.5
15.0
21.5
150.0
Answer: A
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 22 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
11
12
Answer: D
Question: log3 N+log15 N what is 3 digit number N that will be whole number
Choices:
3375
8291
3929
2727
Answer: A
Question: The largest 4 digit number exactly divisible by 88 is?
Choices:
A)9944
C)9967
D)9969
E)9970
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
268 m
276 m
150 m
125 m
Answer: C
Question: Find 10th term in the series 1, 3, 5, 7, ...
Choices:
19
21
22
23
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
s.2718
s.4597
s.4530
s.4528
Answer: A
Question: A sum was put at simple interest at a certain rate for 3 years Had it been put at 3% higher rate, it would have fetched 81 more. Find the sum.
Choices:
600
700
800
900
Answer: D
Question: A car travels the first 1/3 of certain distance with a speed of 12km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
Choices:
20km/hr
89km/hr
52km/hr
79km/hr
Answer: A
Question: If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
Choices:
12.5
13
13.5
14
Answer: A
Question: Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
Choices:
1683
1523
1433
None of them
Answer: A
Question: 26 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
650
576
600
700
Answer: A
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
Choices:
Rs.1200
Rs.1400
Rs.1500
Rs.1600
Answer: A
Question: Positive integer x has p factors; 3x has 3 factors; Which of the following values can p take?
I. 1
II. 2
III. 3
Choices:
I or III
I or II
only I
only II
Answer: D
Question: Jeff has 252 ounces of peanut butter in 16, 28. and 40 ounce jars. He has an equal number of each sized jar. How many jars of peanut butter does Jeff have?
Choices:
9
7
10
11
Answer: A
Question: Bricks are sold in packages of eight or thirteen only. If Timmy, a builder, bought 144 bricks exactly, what could be the number of large packs Timmy bought?
Choices:
5
6
8
7
Answer: C
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mettur. Mettur, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mettur over the total taxable land of the village is:
Choices:
0.20833
2.45466
5.54353
6.45343
Answer: A
Question: Two circular frames are kept one above the other. Frame X has a diameter of 16 cm and Frame Y has a diameter of 12 cm. What fraction of the surface of Frame X is not covered by Frame Y?
Choices:
7/16
12/16
24/12
2/3
Answer: A
Question: The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
Choices:
12
14
15
16
Answer: A
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Choices:
69
82
89
72
Answer: D
Question: Find the unit digit in
(544)102+(544)103
Choices:
4
0
1
3
Answer: B
Question: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
40
70
60
20
Answer: B
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = a
|b - 4| + |ab - b| = ?
Choices:
ab-4
ab+4
ab - 2b + 4
4-ab
Answer: A
Question: The value of x + x(xx) when x = 8
Choices:
A) 520
C) 518
D) 536
E) 564
Answer: A
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
5:2
9:2
9:0
Answer: A
Question: Sally has to pick her son up at 2 p.m. It is now 12:30 p.m. She has to travel 53 miles to get her son from camp. What time should she leave to pick her on up with the closest time to 2 p.m, without being late, given the distance of 53 miles with a constant speed of 50 mph?
Choices:
She needs to leave at 12:53 pm
She needs to leave at 1:03 p.m
She cannot get there in time.
She needs to leave at 1:15 p.m
Answer: A
Question: If A and B are digits and 5AB is a 3-digit number that is divisible by 10, which of the following is a possible product of A and C?
Choices:
21
52
38
50
Answer: D
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
76 minutes
70 minutes
62 minutes
52 minutes
Answer: B
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 less than n. What is y in terms of x ?
Choices:
9 - x
x + 3
x - 3
x - 9
Answer: C
Question: A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party Q. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
Choices:
15
30
35
45
Answer: A
Question: 2 + 2^2 + 2^3 + ... + 2^8 = ?
Choices:
510
210
410
None of them
Answer: A
Question: A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
7000
10000
5000
None of these
Answer: A
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Choices:
236578
645353
456546
220070
Answer: D
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 151?
Choices:
2350
2650
2950
3250
Answer: D
Question: A can do a job in 10 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
15 days
22 days
11 days
19 days
Answer: A
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Choices:
60 kg
72 kg
96 kg
None of these
Answer: A
Question: if p/q=3/4
then3p+8q=?
Choices:
25/2
20/4
41/4
25/3
Answer: C
Question: A man took loan from a bank at the rate of 10% p.a. simple interest. After 3 years he had to pay Rs. 3000 interest only for the period. The principal amount borrowed by him was:
Choices:
10000
11000
12000
13000
Answer: A
Question: The ratio between the speeds of two trains is 8: 9. If the second train runs 270 kms in 3 hours, then the speed of the first train is ?
Choices:
835 km/hr
80 km/hr
82 km/hr
None of these
Answer: B
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 2 or3?
Choices:
1
1/6
4/6
5/6
Answer: C
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 174 votes. Find the total number of valid votes?
Choices:
435
480
520
550
Answer: A
Question: Mrs. A. invested $21,000; part at 5%, and part at 8%. The total interest on the investment was $1,470. How much did she invest at each rate?
Choices:
x=$12,000, y =$24,000
x=$8,000, y =$16,000
x=$10,000, y =$20,000
x=$7,000, y =$14,000
Answer: D
Question: In a class, 30 students pass in English and 20 students in Math, while some students among these pass in both. How many more students do only English as compared to those doing only Maths?
Choices:
10
20
25
Indeterminate
Answer: A
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Choices:
270m
643m
832m
270m
Answer: A
Question: The errand service company gets a discount at the fuel center when they fill up more than 4 cars at a time. The service is $1.10 per vehicle and .30 cents per liter of fuel. On Monday , they will fill 3 vans and 3 cars. The cars are 25 liters each and the vans are 60% bigger. How much will it cost to fill up all vehicles if they are empty?
Choices:
$68.10
$67.50
$68.50
$65.10
Answer: D
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Choices:
Friday
Sunday
Wednesday
WednSDA
Answer: A
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12:15:16
12:15:10
12:15:155
12:15:11
Answer: A
Question: Complete the series 95, 115.5, 138, ..., 189
Choices:
189
178
187
193
Answer: A
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.3 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
Choices:
$1.85
$2.00
$2.12
$2.30
Answer: C
Question: Evaluate the sum
1-2 +3-4 + 5-6 +... + 997-998 + 999-1000
Choices:
-500
-999
-1001
500500
Answer: A
Question: A train passes a man standing on the platform. If the train is 180 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
6 Â½ sec
9 Â½ sec
9 sec
7 Â½ sec
Answer: C
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 20, (....)
Choices:
27
22
24
26
Answer: A
Question: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Choices:
70 kmph
60 kmph
80 kmph
10 kmph
Answer: B
Question: A pair of articles was bought for $1000 at a discount of 10%. What must be the marked price of each of the article?
Choices:
$555.55
$350
$400
$600
Answer: A
Question: In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choosethe four varities with two from hotel as must.Find how many ways one can order.
Choices:
15
56
28
30
Answer: A
Question: If 2/z = 2/(z + 1) + 2/(z + 25) which of these integers could be the value of z?
Choices:
1
2
3
5
Answer: D
Question: A and B together do a work in 20 days.B and C together in 15 days and C and A in 12 days.so A,B and C together finish same work in how many days?
Choices:
15
8
10
11
Answer: C
Question: If x is 40 percent greater than 88, then x =
Choices:
70.4
123.2
105.6
108
Answer: B
Question: Of the mutual funds on a “select list,” 2/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 100 funds on the list have 3-star ratings, how many funds are on the list?
Choices:
500
1,000
1,200
1,500
Answer: A
Question: How many positive integers will divide evenly into 440?
Choices:
12
16
18
20
Answer: C
Question: The bankerâ€™s discount of a certain sum of money is Rs. 80 and the true discount on the same sum for the same time is Rs. 70. The sum due is
Choices:
280
560
450
None
Answer: B
Question: Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $50 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
Choices:
$10
$14
$24
$28
Answer: C
Question: The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students?
Choices:
16
17
18
19
Answer: C
Question: If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
Choices:
58
64
29
28
Answer: A
Question: If 0 < c < 1, what is the median of the values c, c^-1, c^2, c^1/2 and c^3?
Choices:
c
c^2
c^1/2
c^3
Answer: A
Question: A tank is filled by 3 pipes A,B,C in 4 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Choices:
35hr
40hr
20hr
28hr
Answer: D
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 300meters, after what time will they meet at the starting point?
Choices:
20sec
30sec
50sec
1min
Answer: A
Question: A company’s eight trucks running 3 hrs a day can carry 1,200 packs of produce. The company invested in 4 new trucks and got rid of 2 of the previous ones. The new trucks can carry 0.5% more produce than the old ones. How many produce in total can be delivered within the next 2 days for 4 hours?
Choices:
9,200
4,400
3,600
800
Answer: B
Question: Today is Monday. After 30 days, it will be :
Choices:
Saturday
Monday
Sunday
Wednesday
Answer: D
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 15 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
Choices:
8
12
14
16
Answer: A
Question: There are 20 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Choices:
25
30
45
60
Answer: B
Question: The food in a camp lasts for 25 men for 40 days. If fifteen more men join, how many days will the food last?
Choices:
25 days
20 days
16 days
27 days
Answer: A
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choices:
720
740
750
800
Answer: A
Question: What is the sum of the integers from -60 to 65, inclusive?
Choices:
315
115
165
765
Answer: A
Question: The new swimming pool needs to be filled with water. If the swimming pool is 5m^3, and the speed to fill the swimming pool is 2.5 cm^3/sec (1m^3 = 10^6 cm^3), how long does it take to fill the entire swimming pool?
Choices:
2*10^4
2*10^5
2*10^6
2*10^7
Answer: C
Question: A certain bag contains 60 balls — 22 white, 18 green, 17 yellow, 3 red, and 1 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.15
0.54
0.85
0.95
Answer: D
Question: John invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 2 years and to $ 500 at the end of another 3 years. What was the rate of interest in which he invested his sum?
Choices:
40%
6.67%
25%
33%
Answer: A
Question: 100 men started working to complete a work in 50 days.After working 8hours/day they had completed 1/3rd of the work in 25 days.How many men should be hired so that they will finish the work in time by working 10 hours/day.
Choices:
60 men
90 men
100 men
120 men
Answer: A
Question: What is the total number of integers between 10 and 100 (exclusive)that are divisible by 7?
Choices:
13
15
12
11
Answer: A
Question: When a 192 meters long rod is cut down into small pieces of length 3.0 meters each. Then how many pieces are available ?
Choices:
68
62
64
69
Answer: C
Question: If T = 5/9 * (K - 32), and if T = 75, then what is the value of K?
Choices:
161
164
167
170
Answer: C
Question: 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
12.4
12.5
16.8
92.7
Answer: B
Question: 320 students are to embark on an excursion. What is the smallest possible number of vans that are needed to transport all 320 students, if a van can carry 18 students only?
Choices:
18
14
12
13
Answer: A
Question: Income and expenditure of a person are in the ratio 7 : 6. If the income of the person is Rs. 14000, then find his savings?
Choices:
1000
1500
2000
2500
Answer: C
Question: The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13?
Choices:
10,000
28,000
9,500
14,000
Answer: D
Question: How many times in a day, the hands of a clock are straight?
Choices:
34
44
54
76
Answer: B
Question: A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Choices:
140 m
150 m
170 m
190 m
Answer: B
Question: Which of the following is the sum of all the even numbers between 1 and 95, inclusive?
Choices:
2448
2600
2499
2652
Answer: A
Question: In State X, all vehicle license plates have 1 letter from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
Choices:
60,840
67,600
608,400
260,000
Answer: D
Question: It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Choices:
14 minutes
15 minutes
16 minutes
17 minutes
Answer: B
Question: An exam consists of 8 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 60% is a passing grade, what is the probability that Brian passes?
Choices:
37/256
1/2
35/256
15/16
Answer: C
Question: The ratio of numbers is 4:5 and their H.C.F is 4. Their L.C.M is:
Choices:
80
24
48
98
Answer: A
Question: If the wheel is 21 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
8
10
7
19
Answer: A
Question: A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?
Choices:
710
720
500
740
Answer: C
Question: A rectangular surface have length 15m and breadth 8m.calculate its area and diagonal.
Choices:
120,17
115,17
115,18
120,18
Answer: A
Question: Three unbiased coins are tossed. What is the probability of getting at least 2 tails?
Choices:
0.5
0.25
0.2
0.3
Answer: A
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
50
10
40
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3467
3567
4567
5184
Answer: D
Question: If 4 (A's capital) = 6 (B's capital) = 8 (C's capital). Then the ratio of their capitals is?
Choices:
6:4:3
6:4:2
6:2:3
6:5:3
Answer: A
Question: An bus covers a certain distance at aspeed of 150 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
450 km/h
779 km/h
723 km/h
720 km/h
Answer: A
Question: Prizes totaling $45,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
Choices:
(b) $10,000
(c) $17,000
(d) $55,000
(e) $65,000
Answer: B
Question: The average age of 20 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Choices:
86
95
72
80
Answer: A
Question: The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 3200 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Choices:
25/4
25/8
25/16
25/32
Answer: A
Question: In Township K, 1/4 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Choices:
11/15
7/10
1/6
2/15
Answer: A
Question: In 1982 and 1983, Company B’s operating expenses were $11.0 million and $14.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
Choices:
16 2/3%
25%
4 1/3%
60%
Answer: C
Question: How many even multiples of 55 are there between 549 and 1101?
Choices:
6
9
10
11
Answer: A
Question: The marks obtained by Polly and Sandy are in the ratio 5:6 and those obtained by Sandy and Willy are in the ratio of 3:2. The marks obtained by Polly and Willy are in the ratio of...?
Choices:
5:4
7:6
9:8
11:10
Answer: A
Question: The speed of a railway engine is 63 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
23
Answer: D
Question: A man buys a cycle for Rs.1200 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs.1020
Rs.1190
Rs.1202
NONE
Answer: A
Question: An angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows he killed the Chariot driver of Bheeshm. With one arrow each he knocked down respectively the Chariot, the flag and the bow of Bheeshm. Finally, with one more than four times the square root of arrows he laid Bheeshm unconscious on an arrow bed. Find the total number of arrows Arjun had.
Choices:
100
110
120
130
Answer: A
Question: Village P’s population is 800 greater than Village Q's population. If Village Q’s population were reduced by 500 people, then Village P’s population would be 3 times as large as Village Q's population. What is Village Q's current population?
Choices:
1150
1200
1250
1300
Answer: A
Question: A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are repeated.Find the possible no of combinations divisible by 36?
Choices:
36
38
48
58
Answer: A
Question: 0, 3, 9, 18, 30, 45, 63, ?What number should replace the question mark?
Choices:
74
79
72
84
Answer: D
Question: How many X ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
Choices:
16
28
32
56
Answer: C
Question: A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A?
Choices:
26.7km
30km
32.5km
31.2km
Answer: A
Question: Machine A and machine B are each used to manufacture 440 sprockets. It takes machine A 10 hours longer to produce 440 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
Choices:
6
4
3
2
Answer: B
Question: It takes Joey the postman 1 hours to run a 4 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
Choices:
5
13
14
15
Answer: A
Question: Dacid obtained 90, 92, 85, 87 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
26
88
90
75
Answer: B
Question: What is the greatest positive integer x such that 5^x is a factor of 125^10?
Choices:
9
10
20
30
Answer: D
Question: A and B started a business in partnership. A invested Rs. 40000 for 6 months. A received Rs.6000 as his share out of the total profit of Rs. 9000, What was the amount invested by B for the whole year?
Choices:
Rs. 10000
Rs. 10009
Rs. 10007
Rs. 122122
Answer: A
Question: In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 70% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?
Choices:
b) 53%
c) 54%
d) 55%
e) 57%
Answer: C
Question: In how many minimum number of complete years, the interest on 212.50 P at 3% per annum will be in exact number of rupees?
Choices:
8
9
7
None of these
Answer: A
Question: The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 35 percent of the budget?
Choices:
126 °
54 °
90 °
150 °
Answer: A
Question: 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 65% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?
Choices:
1
35
45
75
Answer: A
Question: A car started running at a speed of 29 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
41 km
25 km
15 km
30 km
Answer: A
Question: Three bottles contain equal mixtures of spirit and water in the ratio 6 : 1, 5 : 2 and 3 : 1 respectively. If all the solutions are mixed together, the ratio of spirit to water in the final mixture will be
Choices:
65 : 64
19 : 65
65 : 19
none of these
Answer: C
Question: When a student Joe, weighing 43 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
Choices:
11 kg
30 kg
6.5 kg
71 kg
Answer: C
Question: What is the remainder when 7777* 8888 * 101010 is divided by 33
Choices:
220
330
440
550
Answer: A
Question: In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Choices:
12
24
27
11
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Choices:
1/7
1/5
1/1
1/2
Answer: B
Question: Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Choices:
73
72
35
32
Answer: D
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.61 then sum is
Choices:
s.6100
s.5800
s.6000
s.6200
Answer: A
Question: In 1985 a company sold a brand of shoes to retailers for a fixed price per pair. In 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent, while the price per pair increased by 20 percent. If the company’s revenue from the sale of the shoes in 1986 was $3.0 million, what was the approximate revenue from the sale of the shoes in 1985 ?
Choices:
$2.9 million
$3.0 million
$3.1 million
$3.6 million
Answer: C
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 81th number in this set?
Choices:
608
613
616
645
Answer: D
Question: When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.07, what is value of J?
Choices:
56
78
200
175
Answer: C
Question: At what rate percent per annum will the simple interest on a sum of money be 3/5 of the amount in 10 years?
Choices:
6%
9%
3%
1%
Answer: A
Question: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
75
299
267
312
Answer: A
Question: When 0.232323..... is converted into a fraction, then the result is
Choices:
23/99
25/99
22/99
20/99
Answer: A
Question: The function f is defined by subtracting 25 from the square of a number and the function v is defined as the square root of one-half of a number. If v(f(x))=10, then which of the following is a possible value of x?
Choices:
-15
0
5
25
Answer: A
Question: John took a bus from home to market, that travels at 50 kmph. While walking back at 5 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 35 kmph. Find the average speed.
Choices:
16.0 kmph
22.5 kmph
18.6 kmph
none of these
Answer: C
Question: Priya covers journey from kavali to nellore by car at average speed of 80 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?
Choices:
53.33Km/hr
60Km/hr
66Km/hr
72km/hr
Answer: A
Question: There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set W, which cannot be the range of the set W?
Choices:
B.11
C.14
D.17
E.21
Answer: A
Question: How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Choices:
6
7
None of these
Cannot be determined
Answer: A
Question: A can do a job in 10 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
22 ½ days
23 ½ days
15 days
None of these
Answer: C
Question: What is the square root of 6,561?
Choices:
9
45
62
81
Answer: D
Question: In a sequence of 12 numbers, each term, except for the first one, is 12^13 less than the previous term. If the greatest term in the sequence is 12^14, what is the smallest term in the sequence?
Thus, A12 = A1+12-1d
Where d is the difference between each pairs of consecutive terms. Since each term is 1211 less than the previous term, d=-1211Click individual answer choices for specific explanations.
From what I undersltand the formula for an arithmetic sequence represents
some-number-in-the-sequence= first-number-in-sequence +the-place-of-that-number - 1x the-difference-of-each-#-in-the-sequence
Choices:
0
12^11
11·12^11
12^13
Answer: D
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
Choices:
77
66
96
51
Answer: C
Question: A bakery currently has 4 pies and 7 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Choices:
2/7
3/7
1/11
2/11
Answer: D
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Choices:
4 : 5
3 : 2
4 :7
None
Answer: A
Question: Find the average of all the numbers between 11 and 36 which are divisible by 5.
Choices:
25
20
28
10
Answer: A
Question: How many positive integers less than 100 have a remainder of 4 when divided by 13?
Choices:
7
4
9
10
Answer: B
Question: Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of COKE. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choices:
wheat − wheat − white
white − rye − wheat
white − white − white
COKE- WHEAT-WHEAT
Answer: D
Question: If x and y are integers and |x - y| = 10, what is the minimum possible value of xy?
Choices:
-18
-24
-25
-48
Answer: C
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
Rs.6620
Rs.3556
Rs.974
Rs.456
Answer: A
Question: In triangle XYZ, side XY, which runs perpendicular to side YZ, measures 24 inches in length. If the longest side of the the triangle is 26 inches, what is the area, in square inches, of triangle XYZ?
Choices:
120
140
150
165
Answer: A
Question: The length of minute hand of a clock is 5.5 cm. What is the area covered by this in 10 minutes
Choices:
16.27
17.27
19.27
15.83
Answer: D
Question: After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 700 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
Choices:
2350
2000
2300
1800
Answer: D
Question: What is the least number which when divided by 6, 9, 12 and 18 leaves remainder 4 in each care?
Choices:
40
36
56
66
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 7 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
25
30
35
50
Answer: C
Question: In a batch of 125 students, there are 12 books related with different subjects to be distributed. If the total number of books bought during the time of distribution were 1511, how many extra books will be lying with the distributor?
Choices:
11
2
5
3
Answer: A
Question: A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 4 and 6 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
Choices:
Per month, with savings of $(3a - 3b)
The two options would cost an equal amount.
Per project, with savings of $(3a + 3b)
Per project, with savings of $(3a - 3b)
Answer: A
Question: In Prasanna's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Prasanna and he thinks that Prasanna'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 Prasanna?
Choices:
68 kg
66.5 kg
69 kg
NOne
Answer: B
Question: In a mixture of 45 litres, the ratio of acid to base is 4 : 1. How much base must be added to make the mixture ratio 3 :2?
Choices:
24 lts
15 lts
1.5 lts
2.5 lts
Answer: B
Question: (7895632 x 881) = ?
Choices:
6584638130
6584638135
6584638140
6956051792
Answer: D
Question: A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.
Choices:
Rs 25300
Rs 24300
Rs 21300
None of above
Answer: A
Question: Six 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:
14%
20%
22%
26%
Answer: A