antoine-444/aqua_rat_dataset huggingface dataset:
Question: Rita and Sam play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. Tha one who removes the last stick (or sticks) from the table wins. If Rita goes first, which of the following is a value of n such that Sam can always win no matter how Rita plays?
Choices:
10
11
12
16
Answer: C
Question: Aparna cuts a cake into two halves and cuts one-half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?
Choices:
280 grams
240 grams
120 grams
None of these
Answer: B
Question: How many Books each of Volume 200 meter cube can be packed into a crate of volume 4000 meter cube?
Choices:
40
60
80
cannot be determined
Answer: D
Question: Steve traveled the first 2 hours of his journey at 50 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choices:
68 mph
53.33 mph
64 mph
66.67 mph
Answer: A
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (10, 0), (0, -3.5), (-10, 0)?
Choices:
88
70
116
120
Answer: B
Question: Two painters 'P1' & 'P2' paint the bungalow in 3 days. If P1 alone can paint the bungalow in 12 days, in how many days can 'P2'' alone complete the same paint work?
Choices:
4 days
9 days
12 days
15 days
Answer: A
Question: Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 12, and 16, what is the value of r?
Choices:
20
22
23
24
Answer: C
Question: A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders Q when the order of the divisors is reversed.
Choices:
4,2,1
Q=3,2,1
Q=6,4,2
None of above
Answer: C
Question: If the numerator of a fraction is increased by 50% and denominator by 20%, the fraction become 9/15. What was the original fraction ?
Choices:
12/25
3/5
6/7
7/8
Answer: A
Question: A 300 meter long train crosses a platform in 27 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
150m
350m
228m
282m
Answer: A
Question: On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1?
Choices:
12
24
32
36
Answer: B
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $40. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
Choices:
450xy
xy/9
xy/50
360/(xy)
Answer: D
Question: If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
Choices:
20% loss
25% Profit
20% Profit
5% profit
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 15%?
Choices:
480
267
288
544
Answer: D
Question: 0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance W between any two of the tick marks?
Choices:
1/35
2/35
1/12
1/7
Answer: A
Question: The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Choices:
30
38
38
38
Answer: A
Question: 7^1+7^2+7^3+.......+7^205. Find out how many numbers present which unit place contain 3?
Choices:
51
11
27
99
Answer: A
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
Choices:
200
100
250
150
Answer: D
Question: You roll two six sided dices together.
Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?
Choices:
3/52
1/53
4/24
1/36
Answer: D
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
87 sec
36 sec
16 sec
11 sec
Answer: B
Question: The lowest number which should be added to 8247 so that the sum is exactly divisible by 5, 6, 7, 8 and 9 is:
Choices:
1833
1733
1233
1832
Answer: A
Question: A and B can do a piece of work in 5 days, B and C in 6 days, C and A in 7 days. How long will C take to do it?
Choices:
240/23 days
220/17 days
200/19 days
180/11 days
Answer: A
Question: A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.160/- extra, then how much amount he took?
Choices:
s.6000/-
s.4000/-
s.7000/-
s.8000/-
Answer: D
Question: Annabelle was given a 8 m head start in a 100 m race with Gina. She won the race by 0.85 m. How many more meters would it take for Gina to overtake her?
Choices:
5m
6m
4m
3m
Answer: B
Question: The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is
Choices:
Rs.840
Rs.1020
Rs.760
None
Answer: B
Question: Jacob is now 14 years younger than Michael. If 9 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
Choices:
7
9
21
25
Answer: B
Question: Pradeep has to obtain 35% of the total marks to pass. He got 150 marks and failed by 25 marks. The maximum marks are
Choices:
600
800
500
900
Answer: C
Question: What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?
Choices:
276
298
322
342
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/6
3/3
3/1
Answer: A
Question: Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?
Choices:
4 : 9 : 12
4 : 9 : 11
4 : 9 : 16
4 : 9 : 77
Answer: C
Question: After decreasing 50% in the price of an article costs Rs.620. Find the actual cost of an article?
Choices:
2987
1200
1240
1671
Answer: C
Question: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 25 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
Choices:
15
40
60
25
Answer: C
Question: During a behavioral experiment in a psychology class, each student is asked to compute his or her lucky number by raising 7 to the power of the student's favorite day of the week (numbered 1 through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this to the doubled age of the student in years, rounded to the nearest year. If a class consists of 28 students, what is the probability that the median lucky number in the class will be a non-integer?
Choices:
0%
20%
30%
40%
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Choices:
22
24
25
26
Answer: B
Question: A can do a piece of work in 6 days. B can do it in 6 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
2 days
6 days
7 days
4 days
Answer: B
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number E of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
Choices:
189
234
279
309
Answer: C
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 5%. What is the selling price of the cycle?
Choices:
s. 1160
s. 1190
s. 1202
s. 1330
Answer: D
Question: If ab represents a positive two-digit number, where a and b are one-digit integers, which of the following CANNOT be true?
Choices:
a + b = 0
a – b = 0
b – a = 0
B, C and D
Answer: D
Question: A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in?
Choices:
6
8
9
5
Answer: B
Question: Sandy invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Sandy got back 3 times the original investment. What is the value of n?
Choices:
25
30
35
40
Answer: A
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 450. Find the total worth of the stock?
Choices:
22500
20289
20027
20026
Answer: A
Question: 17! is equal to which of the following?
Choices:
355,687,428,096,245
355,687,428,096,000
355,687,428,096,924
355,687,428,096,736
Answer: B
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Choices:
26
36
42
45
Answer: B
Question: If c and t are positive integers, ct +c + t cannot be
Choices:
6
7
8
9
Answer: A
Question: The HCF and LCM of two numbers are 21 and 4641 respectively. If one of number lies between 200 and 300, the two numbers are
Choices:
273, 357
273, 359
273, 363
None
Answer: A
Question: Find the invalid no.from the following series 15, 17, 34, 105, 424, 2124, 12756
Choices:
17
105
424
2124
Answer: A
Question: If the average of 12x and 8y is greater than 200, and x is twice y, what is the least integer value of x ?
Choices:
30
40
25
35
Answer: C
Question: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
1/16
1/6
1/4
190
Answer: D
Question: The smallest number when increased by " 3 " is exactly divisible by 5,10,45,90,and 105 is:
Choices:
633
150
140
627
Answer: D
Question: Alex and Brian start a business with Rs.7000 each, and after 8 months, Brian withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
4:3
18:11
3:2
18:13
Answer: D
Question: if a cow eat 3kg fodder which is mean of 7 days.if he eat 2 kg,1kg,3kg,4kg,2kg,3kg
on mon,tue,wed,thurs,fri and Saturday.how much cow eat on Sunday?
Choices:
4
5
6
7
Answer: C
Question: In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,700. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Choices:
2. $15,750
3. $16,820
4. $18,100
5. $18,700
Answer: D
Question: Average of first five multiples of 6 is
Choices:
11
13
15
18
Answer: D
Question: If a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet, what is the length of each of the shorter sides?
Choices:
7
8
13
26
Answer: B
Question: If 0.75 : x :: 5 : 8, then x is equal to:
Choices:
1.9
1.2
1.4
None of them
Answer: B
Question: 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days.
Choices:
15
22
25
26
Answer: A
Question: When positive integer A is divided by positive integer B, the remainder is 6. If A/B = 58.3, what is the value of B?
Choices:
20
18
19
45
Answer: A
Question: If f(x)= 5x^2- 2x+6 and g(y)= 3y-8, then g(f(x))
Choices:
15x^2-6x+10
58x^2-4x+58
87x^2-5x+96
98x^2-7x+94
Answer: A
Question: Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.08+1.08^2)
w/(1.08^2+1.08^2)
Answer: C
Question: 734619
110907
524232
995001
678297
1548??
now what could be the missing area in the question
Choices:
81
82
83
84
Answer: A
Question: A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?
Choices:
12.56
15.25
16.66
None of these
Answer: C
Question: In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
5/9
2/3
3/4
Answer: B
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 108 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
18
3
None of these
Answer: C
Question: There are 2 positive integers x and y. What is the probability that x+y is odd?
Choices:
1/2
1/3
1/5
1/9
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 52, the dividend is:
Choices:
5340
5342
6345
6812
Answer: D
Question: The product of two numbers is 120 and the sum of their squares is 289. The sum is:
Choices:
23
43
56
30
Answer: A
Question: 2,7,36,4,14,225,6,21,?
Choices:
576
676
776
876
Answer: A
Question: How many digits are in (12×10^14)(10×10^15)?
Choices:
25
26
27
32
Answer: D
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 175 were finally selected, what was the value of N?
Choices:
9
6
8
10
Answer: A
Question: If x and y are non-zero integers, and 36x^4 – 4y^4 = 6x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
Choices:
2y^2+1/6
2y^2+1
2y^2
2y
Answer: A
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 100 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
Choices:
1 hour 10 minutes
2 hours 30 minutes
1 hour 20 minutes
2 hours 10 minutes
Answer: C
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 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
Choices:
33
50
51
52
Answer: B
Question: 3 friends A,B,C went for week end party to McDonald's restaurant and there they measure there weights in some order in 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155 kg, then find the average weight of all the 7 rounds?
Choices:
66
77
88
99
Answer: C
Question: In a recent election, James received 15 percent of the 10000 votes cast. To win the election, a candidate needed to receive more than 51 percent of the vote. How many additional votes would James have needed to win the election?
Choices:
1000
3600
1201
3601
Answer: D
Question: If cost of sugar increases by 44%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
35.55
28.55
29.55
30.55
Answer: D
Question: A 230 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
270
260
256
298
Answer: A
Question: In a forest 190 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,900
2,500
Answer: C
Question: Harold needs to buy a ticket to attend a conference for work. His own department contributes $4 less than half the price of the ticket. The HR department will contributes $1 more than a third of the price of the ticket. With these two contributions, Harold has to pay only $10 out of his own pocket to cover the cost of the ticket. What was the price of the ticket?
Choices:
$42
$48
$54
$60
Answer: A
Question: 33 1/3% OF 270?
Choices:
90
110
120
130
Answer: A
Question: The largest 5 digit number exactly divisible by 91 is:
Choices:
581396
369741
99918
1258
Answer: C
Question: John had a stock of 620 books in his bookshop. He sold 50 on Monday, 82 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
Choices:
54.84%
46.5%
56.5%
66.5%
Answer: A
Question: A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
Choices:
Rs 100
Rs 95
None of these
Cannot be determined
Answer: C
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many E ways can the test be completed if every question is unanswered?
Choices:
120
625
720
1024
Answer: B
Question: An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 80 percent gold?
Choices:
9
12
24
48
Answer: B
Question: A set consists of 12 numbers, all are even or multiple of 5. If 4 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
Choices:
1
2
3
5
Answer: B
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 36. what is sum of the numbers?
Choices:
21
76
84
85
Answer: A
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {10, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Choices:
2
3
4
5
Answer: B
Question: If p is the product of the integers from 1 to 38, inclusive, what is the greatest integer k for which 3^k is a factor of p?
Choices:
15
17
19
21
Answer: B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
54 Kmph
37 Kmph
16 Kmph
Answer: A
Question: A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Choices:
100
65
500
980
Answer: B
Question: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
Choices:
1/3
2/9
1/12
1/24
Answer: C
Question: The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be
Choices:
30% less than b
50% less than b
66 2/3% less than b
75% less than b
Answer: A
Question: Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Katniss knows the answer. Do you ?
Choices:
6pm
4am
7am
8pm
Answer: A
Question: Find the value of x: x² + 6x +9.
Choices:
-1
-3
3
-9
Answer: B
Question: The positive integer x has a factor of 16. If the square root of x is > 16, which of the following could equal x/16?
Choices:
14
15
16
17
Answer: D
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
Choices:
1/2.
2.
6.
3.
Answer: D
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is?
Choices:
70/8 days
12 days
14 days
16 days
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2)
Choices:
If x>=y
If x < y
If x<=y
x=y or relationship cannot be established
Answer: C
Question: A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
5.33kmph
5.00kmph
6.00kmph
4.00kmph
Answer: A
Question: A leak in the bottom of a tank can empty the full tank in 3 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Choices:
7960
8290
1440
None
Answer: C
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
31 1/9%
11 1/9%
11 8/9%
13 1/9%
Answer: B
Question: A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 2 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Choices:
48
144
336
420
Answer: A
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
Choices:
10
15
17
19
Answer: A
Question: How many consonants are present between the first and seventh vowel in the sequence of English alphabet ?
Choices:
13
11
10
None of these
Answer: D
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2
4
5
6
Answer: A
Question: Ravi purchased a shirt and a pant for Rs. 1000 &Rs. 3000 respectively. He sold the shirt at a loss of 5% and the pant at a profit of 8%. Overall how much he make a profit.
Choices:
320
120
190
598
Answer: C
Question: A students was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was therefore 10 less than the correct answer. Find the number?
Choices:
12
15
20
30
Answer: A
Question: The sum of the mean, the median, and the range of the set {2,3,7} equals which one of the following values?
Choices:
8
12
4
10
Answer: B
Question: At a certain zoo, the ratio of lions to penguins is 3 to 11. If there are 82 more penguins than lions at the zoo, how many lions are there?
Choices:
30
48
72
132
Answer: A
Question: If 28a+30b+31c=365.
then a+b+c=?.a,b,c are natural numbers
Choices:
10
11
12
13
Answer: C
Question: Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59 Then find the seventh result?
Choices:
110
115
120
125
Answer: D
Question: There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?
Choices:
10
5
20
None of these
Answer: A
Question: A certain number of men can do a work in 20days. If there were 4men more it could be finished in 5days less. How many men are there?
Choices:
12
15
20
18
Answer: A
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 15 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Choices:
117
119
122
144
Answer: D
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
Choices:
10 years
30 years
40 years
25 years
Answer: A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country S. If calls to country S are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country S in a certain month?
Choices:
$12
$13.40
$17.40
$24.40
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
21/115
11/154
None
Answer: A
Question: A cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. Find the total area of the wet surface.
Choices:
49 m sqaure
25 m sqaure
28 m sqaure
None of these
Answer: B
Question: Two friends were driving a Ferrari at 55mph and they traveled x miles with that speed. The next x+20 miles were traveled by them at a speed of 40mph. If they drove for hundred minutes in total.
What is the distance that they traveled in total ?
Choices:
74 2/57 miles
84 2/57 miles
94 2/57 miles
54 2/57 miles
Answer: A
Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
267
153
188
151
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/451
1/457
1/452
Answer: A
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.341 in 2 years?
Choices:
309
400
288
171
Answer: A
Question: In a nuts and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to be cleaned for 10 minutes after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?
Choices:
135 minutes
170 minutes
180 minutes
190 minutes
Answer: C
Question: Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Choices:
1000
1254
1795
1400
Answer: D
Question: In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt?
Choices:
5
8
20
10
Answer: B
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Choices:
200
275
300
350
Answer: A
Question: The average age of three boys is 32 years and their ages are in proportion 3:6:7. What is the age in years of the youngest boy?
Choices:
19
18
4
2
Answer: B
Question: The area of a square field is 576 km2. How long will it take for a horse to run around at the speed of 12 km/h ?
Choices:
10 h
8 h
6 h
None of these
Answer: B
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
228m
350m
167m
186m
Answer: B
Question: A and B entered into a partnership with investments of Rs. 15000 and Rs. 14000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find the share of B.
Choices:
Rs. 4800
Rs. 2400
Rs. 1200
None of these
Answer: A
Question: 3+33+333+33.33=?
Choices:
372.33
402.33
702
None of them
Answer: B
Question: How many even number in the range between 10 to 140 inclusive are not divisible by 3
Choices:
30
31
33
44
Answer: D
Question: Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $9.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Choices:
b. $3.75
c. $3.90
d. $4.88
e. $4.23
Answer: C
Question: How many shots of 1cm radius can be prepared from a sphere of 2cm radius?
Choices:
8
27
88
99
Answer: A
Question: The diameter of a garden roller is 1.4 m and it is 3 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)
Choices:
64 m2
68 m2
66 m2
None of these
Answer: C
Question: A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 200 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Choices:
290
250
310
320
Answer: B
Question: A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.
Choices:
7.5 second
8 second
8.5 second
None of these
Answer: A
Question: Laura's cookie recipe calls for 12 g of sugar for each 3 g of oil used. She needs to make 6 times the original recipe. If 72 g of sugar is used, then how many g of oil are needed?
Choices:
18
12
54
6
Answer: A
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
217 meters
500 meters
278 meters
267 meters
Answer: B
Question: The letters B,G,I,NB,G,I,N and RR are rearranged to form the word 'Bring'. Find its probability:
Choices:
1/120
1/24
1/76
1/32
Answer: A
Question: Patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 60 pencils is how many times the selling price of 60 pencils?
Choices:
0.8
1
1.33
1.75
Answer: C
Question: find the last digit of 322^369
Choices:
2
3
4
5
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
2789
2788
1912
Answer: A
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Choices:
5
6
2
3
Answer: B
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 7,800 milk chocolates per month, what was it one month ago?
Choices:
6000 chocolates
8000 chocolates
7000 chocolates
None of these
Answer: A
Question: If -3<= x <= 2 and 3 <= y <= 8, which of the following represents the range of all possible values of y-x?
Choices:
1 <= y-x <= 5
1 <= y-x <= 6
5 <= y-x <= 10
1 <= y-x <= 11
Answer: D
Question: (+15) + (-11) - (+5) - (-7)
Choices:
2
6
5
3
Answer: B
Question: In the rectangular coordinate system, if the line x = 3y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Choices:
0
1/2
1
2/3
Answer: D
Question: The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
56 cm2
18 cm2
98 cm2
55 cm2
Answer: D
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.92 at the candy store. What is John’s weekly allowance?
Choices:
$2.85
$3.15
$3.45
$3.75
Answer: C
Question: Find the largest 5 digit number which is exactly divisible by 88?
Choices:
98907
99944
99954
99968
Answer: D
Question: The value for F=(0.889 × 55)/9.97 to the nearest tenth is
Choices:
4.63
4.9
7.7
49.1
Answer: B
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444
676
767
663
Answer: A
Question: In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 14 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?
Choices:
114
126
138
150
Answer: B
Question: If 2^4, 3^3, and 12^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Choices:
288
432
396
484
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
77
12
66
45
Answer: B
Question: Three people of different heights are to be seated on a bench. How many different sitting arrangements are possible if the tallest one and the shortest one must sit next to each other ?
Choices:
4
6
8
10
Answer: A
Question: Aishwarya’s mom was 38 years of age at the time of her birth, while her mom was 36 years old when her 4 years younger sister was born. The variance between the parents ages is :
Choices:
6 years
10years
9 years
4 years
Answer: A
Question: 10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?
Choices:
20
25
30
45
Answer: B
Question: A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 10 members, then what is the exact number of researchers required?
Choices:
30
28
24
26
Answer: B
Question: If x<0, y>0, and |x| < |y|, which of the following must be true?
Choices:
y^2 > x^2
x^3 > y^2
–x < y
x < –y
Answer: C
Question: Find the least value of 'a' so that 365a08 is divisible by 8.
Choices:
8
0.
2
1
Answer: B
Question: A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 32 inches. Find b.
Choices:
16
24
32
48
Answer: C
Question: The mass of 1 cubic meter of a substance is 100 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
9
10
11
12
Answer: B
Question: The C.P of 5 books is equal to the S.P of 20 books. Find his gain% or loss%?
Choices:
20%
5%
25%
75%
Answer: D
Question: A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, 4, and 6 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?
Choices:
31/36
55/64
65/81
75/121
Answer: C
Question: A cow and horse are bought for Rs.2,00,000. The cow is sold at a profit of 20% and the horse is sold a t a loss of 10%. The overall gain is Rs.4000, the Cost price of cow?
Choices:
2
4
5
6
Answer: A
Question: Max invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded quarterly, then the amount received by Max at the end of the year will be?
Choices:
16557.19
16557.25
16557.3
16557.38
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
278m
122m
121m
Answer: A
Question: By how much does the larger root of the equation 2z^2+5z = 12 exceed the smaller root?
Choices:
10/3
7/2
14/3
11/2
Answer: D
Question: What is the area of a square with perimeter 2P ?
Choices:
4P
P^2/5
P/16
P^2/4
Answer: D
Question: Car A is 40 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?
Choices:
6
7
5.5
6.5
Answer: A
Question: Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 54. No two digits of h are identical. How many different numbers are possible values of h?
Choices:
24
30
36
48
Answer: A
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24
10
27
16
Answer: A
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
17 1/7
17 1/2
17 1/7
17 1/5
Answer: A
Question: Set D consists of 19 elements. The average of set D is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Choices:
a) L(1 + K / 5)
c) 20L(1+K/100)
d) 20(1+K/100)-19L
e) L*(K/5)-19
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 65, 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:
B)19.9
C)39.9
D)49.9
E)59.7
Answer: D
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is/
Choices:
20
24
26
27
Answer: A
Question: Subtracting 10% from X is the same as multiplying X by what number?
Choices:
90%
93%
96%
34%
Answer: A
Question: If 2^5, 3^3, and 12^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Choices:
39
42
144
156
Answer: C
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Choices:
40
99
88
66
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 52 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5120
6420
7500
5760
Answer: D
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability Q the piece ends no more than 7 spaces from the square numbered 49?
Choices:
8%
14%
15%
28%
Answer: D
Question: The distance between two stars is 3 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choices:
9.2 × 10^4
9.7 × 10^5
8.5 × 10^6
7.1 × 10^7
Answer: A
Question: How many seconds will a 1000 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
300
500
277
121
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
4567
4789
5678
5184
Answer: D
Question: Ram bought 50 books for Rs.1750 from one shop and 10 books for Rs.650 from another. What is the average price he paid per book ?
Choices:
18
27
29
21
Answer: C
Question: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Choices:
1/2
3/5
2/7
3/8
Answer: A
Question: The letters P,O,C and Y are rearranged to form the word 'Copy'. Find its probability.
Choices:
1/235
1/24
1/76
1/53
Answer: B
Question: Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 7 seconds.What is the length of the fast train?
Choices:
38 8/9 m
27m
27 7/9m
33 7/9m
Answer: A
Question: n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1500, then what is the smallest possible value of n?
Choices:
10
12
15
20
Answer: C
Question: In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
Choices:
$440
$450
$460
$480
Answer: C
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 3, 16, 54, 12, 13, 64
II. 52,53,54,55,56,57
III. 8, 8, 8, 8, 8, 8
Choices:
II, III, I
III, I, II
II, III, I
III, II, I
Answer: D
Question: At the end of a business conference the 5 people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
55
90
10
Answer: D
Question: A card is randomly drawn from a deck of 52 cards. What is the probability getting either a King or a Diamond?
Choices:
8/32
6/26
4/13
2/31
Answer: C
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Choices:
150,218
150,200
150,276
150,212
Answer: B
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
85 km/h
90 km/h
75 km/h
70 km/h
Answer: A
Question: Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 53 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?
Choices:
36
37
38
54
Answer: D
Question: A card is drawn from a pack of 52 cards. The probability of geƫng a queen of club or a king of heart is
Choices:
2/13
1/26
1/52
None of these
Answer: B
Question: Two trains start together to travel to a certain destination,one at speed of 55 km/hr and another at 65 km/hr. The former arrives 3 hours after the latter. What is the total distance.
Choices:
887 km.
9002.5 km.
1002 km.
1072.5 km.
Answer: D
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 8-letter code words to the number of 6-letter code words?
Choices:
3 to 2
12 to 1
5 to 1
6 to 1
Answer: B
Question: Donald plans to invest x dollars in a savings account that pays interest at an annual rate of 8% compounded quarterly. Approximately what amount is the minimum that Donald will need to invest to earn over $100 in interest within 6 months?
Choices:
1750
2000
2500
3000
Answer: C
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
27
26
28
Answer: A
Question: If 30% of a class averages 95% on a test, 50% of the class averages 79% on the test, and the remainder of the class averages 60% on the test, what is the overall class average? (Round final answer to the nearest percent).
Choices:
77%
78%
79%
80%
Answer: D
Question: A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 5%. What % discount did the merchant offer?
Choices:
25%
35%
40%
45%
Answer: C
Question: 1!+2!+3!+4!+5!+.100! is divided by 24. Find the remainder from this?
Choices:
6
9
10
11
Answer: B
Question: A train running at the speed of 120 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150 meter
200 meter
250 meter
300 meter
Answer: D
Question: HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 5%
Choices:
40
32
12
45
Answer: C
Question: judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 6th position from either end of the row.
Can you find out how many girls are practicing together?
Choices:
9
11
6
8
Answer: B
Question: A bus leaves Los Angeles at 7:00 a.m. traveling north at 80 miles per hour. At 12:00 p.m. a plane leaves Los Angeles traveling north at 380 miles per hour. At what time will the plane overtake the bus?
Choices:
1:20 p.m.
12:25 p.m.
12:40 p.m.
2:10 p.m.
Answer: A
Question: The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Choices:
87
16
36
12
Answer: C
Question: If 5x + 3 = 10x – 17, what is the value of x?
Choices:
2
3
4
5
Answer: C
Question: Mike earns $14 per hour and Phil earns $7 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
Choices:
32.5%
37%
50%
40%
Answer: C
Question: A certain amount earns simple interest of Rs. 1200 after 10 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
None of these
Rs. 120
Rs. 100
Cannot be determined
Answer: C
Question: X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?
Choices:
X Beats Y by 0.5 m
X Beats Y by 4 m
X Beats Y by 4 m
Y Beats X by 10m
Answer: C
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
12300
38000
43200
45000
Answer: B
Question: Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5?
Choices:
10 years
20 years
37 years
None
Answer: A
Question: If ab represents a positive two digit number, where a and b are single digit integers, which of the following cannot be true?
Choices:
(a)(b)=9
a-b = 9
b-a= 9
a/b = 9
Answer: C
Question: If n is a positive integer, what is the remainder when (7^(3n+3))(6^n) is divided by 10?
Choices:
2
4
6
8
Answer: C
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 47 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
37.6 kg
98.6 kg
65.6 kg
87 kg
Answer: A
Question: Find the area of a parallelogram with base 21 cm and height 11 cm?
Choices:
231
288
255
122
Answer: A
Question: Find the value of 1/(3+1/(3+1/(3-1/3)))
Choices:
27/89
89/21
29/21
None
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
3:2
2:3
5:3
Answer: A
Question: Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
Choices:
180
160
140
150
Answer: A
Question: On average, the boys in the class have 56 pens and the girls have 32 pens. If the overall class average is 41 pens, what is the ratio of boys to girls in the class?
Choices:
3/4
3/2
2/3
3/5
Answer: D
Question: Ms. Martha invested in Fund W and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund W paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund W. How much did Ms. Morris invest in Fund W?
Choices:
$36,000
$40,000
$42,000
$45,000
Answer: C