antoine-444/aqua_rat_dataset huggingface dataset:
Question: Vehicle A covers a certain distance in 8hrs at the speed of 63kmph. What is the average speed of another vehicle B which travels a distance of 60km more than thecar in the same time?
Choices:
50 kmph
55 kmph
60 kmph
70 kmph
Answer: D
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?
Choices:
2688
2688
8774
1268
Answer: C
Question: Albert borrowed a total of $ 5800 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1400 as total interest. What is the interest paid to Brian at the end of three years?
Choices:
581
441
431
421
Answer: A
Question: Car X began traveling at an average speed of 35 miles per hour. After 84 minutes, car Y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
175
210
245
270
Answer: C
Question: A can do a job in 8 days and B can do it in 16 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
10 1/3 days
14 1/3days
2 1/2 days
3 1/2 days
Answer: A
Question: Elena’s bread recipe calls for 2 ounces of butter for each 5 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choices:
4
9
13
20
Answer: D
Question: Take a number 'x' and follow these steps :
1. Find the sum of its digit
2. If the sum has only one digit , STOP
3. Else , go back to step 1 with the new number.
If x = 1684 ,what is the end result ?
Choices:
10
1
2
None of these
Answer: B
Question: A 6-liter solution is 30% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
Choices:
2.1
2.4
2.7
3.0
Answer: B
Question: What will come in place of question mark in the following equation ?
54.(?)3 + 543 + 5.43 = 603.26
Choices:
1
9
8
10
Answer: C
Question: Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?
Choices:
20
30
40
50
Answer: A
Question: A bowl of fruit contains 14 apples and 20 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?
Choices:
6
14
17
20
Answer: B
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 15 and 16. The larger of the two numbers is:
Choices:
278
322
368
121
Answer: C
Question: Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $460. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $560. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
15
21
23
25
Answer: A
Question: How many integers are between 9 and 67/5, inclusive?
Choices:
5
9
10
11
Answer: A
Question: Suppose son name is 120,his brother name is 150 and his mother name is 230.find out his father's name???
Choices:
210
230
240
260
Answer: D
Question: Find the average of all numbers between 3 and 86 which are divisible by 5
Choices:
20
25
30
45
Answer: D
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 510 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
3/8
8/5
5/8
34/15
Answer: D
Question: Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
Choices:
500
700
900
800
Answer: B
Question: The value of 99^(98/99) x 99 is:
Choices:
9899
9890
9809
9810
Answer: A
Question: The average attendance in a school for the first 4 days of the week is 30 and for the first 5 days of the week is 32. The attendance on the fifth day is
Choices:
40
38
36
None of the above
Answer: A
Question: A car is traveling 72 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1,200 meters / minute
1,450 meters / minute
1,550 meters / minute
1,650 meters / minute
Answer: A
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 7x+7/3?
Choices:
10 1/3
11
11 2/3
18
Answer: D
Question: A is twice as good a workman as B and they took 6 days together to do the work B alone can do it in.
Choices:
18 days
29 days
25 days
27 days
Answer: A
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 60, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Choices:
2K+35
(60+K)/2
(70-K)/2
2(70-K)
Answer: B
Question: Jill is dividing her 14-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choices:
1125
1716
2152
1630
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/125
125/126
125/121
125/122
Answer: B
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 6-letter code words to the number of 5-letter code words?
Choices:
3 to 2
2 to 1
5 to 1
6 to 1
Answer: C
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 384,768
Choices:
9
67
5
2
Answer: A
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is?
Choices:
20
66
54
12
Answer: A
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Choices:
50 km
60 km
70 km
80 km
Answer: A
Question: Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?
Choices:
3:2
4:1
5:2
6:5
Answer: A
Question: The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 156 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).
Choices:
158.58 cm
179.29 cm
168.58 cm
178.58 cm
Answer: D
Question: The average of four consecutive even numbers is one-fourth of the sum of these numbers. What is the difference between the first and the last number?
Choices:
6
2
Cannot be determined
None of these
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34
3.39
3.35
3.31
Answer: A
Question: A car covers a distance of 526 km in 9 hours. Find its speed?
Choices:
289 kmph
58 kmph
277 kmph
177 kmph
Answer: B
Question: How many words can be formed by using all letters of the word “BIHAR”
Choices:
190
145
450
120
Answer: D
Question: A group of men decided to do a work in 40 days, but 5 of them became absent. If the rest of the group did the work in 60 days, Find the original number of men?
Choices:
15
40
10
25
Answer: A
Question: 6 + 6+ 6 + 2 × 6^2 + 2 × 6^3 + 2 × 6^4 + 2 × 6^5 + 2 × 6^6 + 2 × 6^7 =
Choices:
6^8
6^2
6^1
6^7
Answer: A
Question: Hari purchased 20 dozen notebook at Rs. 48 per dozen. He sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is his profit percentage in the transaction?
Choices:
15%
16%
none of the above
Cannot be determined
Answer: B
Question: If a 3-member subcommittee is to be formed from a certain 4-member committee, how many different such subcommittee are possible?
Choices:
4
20
108
216
Answer: A
Question: Anand and Deepak started a business investing Rs. 3500 and Rs. 7000 respectively. Out of a total profit of Rs. 2000, Deepak's share is:
Choices:
1333.3
1200.6
1580.2
2671
Answer: A
Question: Before lunch, a painter can paint a wall at a rate of r square feet per minute. The same painter, after lunch and a cup of coffee, can paint the same wall at a rate r + 1 square feet per minute, and the same wall would be finished in 30 seconds less time. What is the value of r?
Choices:
3
1/2
1
2
Answer: C
Question: A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 10 metres apart, how many poles will be needed ?
Choices:
28
57
58
None of these
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 20,000 is made?
Choices:
120000
877888
116000
188871
Answer: C
Question: A truck covers a distance of 240 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 0 km more than that travelled by the truck ?
Choices:
5 hours
7 hours
8 hours
None
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 150 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Choices:
500/3
400
450
600
Answer: C
Question: If the side length of Square B is three times that of Square A, the area of Square B is how many times the area of Square A?
Choices:
9
6
3
2
Answer: A
Question: 5 cats are about to jump on 5 different mice. What is the probability that exactly one cat will jump on a single mouse?
Choices:
1/5!
5!/5^5
5!/5^2
1/5^5
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
95%
26%
95%
Answer: A
Question: What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 06 cm?
Choices:
153
540
748
546
Answer: A
Question: A man rows downstream 30 km and upstream 18 km, taking 5 hours each time. What is the velocity of the stream (current)?
Choices:
1.2 km/hr
2.5 km/hr
1.8 km/hr
None of these
Answer: A
Question: Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose?
Choices:
2.12%
2.25%
2.30%
2.50%
Answer: B
Question: If a is a positive integer, and if the units' digit of a^2 is 4 and the units' digit of (a + 1)^2 is 1, what is the units' digit of (a + 2)^2 ?
Choices:
0
4
6
8
Answer: A
Question: On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
Choices:
150 cm
142 cm
154 cm
None of these
Answer: A
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
2 : 3.
2 : 4
1 : 4
3 : 3.
Answer: A
Question: The last day of a century cannot be
Choices:
Wednesday
Tuesday
sunday
Friday
Answer: B
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 246 passengers. Find the no of passengers in the beginning?
Choices:
180
192
282
168
Answer: C
Question: A man goes downstream at 12 kmph, and upstream8 kmph. The speed of the stream is
Choices:
2kmph
16kmph
2.5kmph
26kmph
Answer: A
Question: Siddharth wants to borrow Rs.9000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.32.40
s.21.18
s.21.98
s.21.29
Answer: A
Question: How many such pairs of letters are there in the word EXPRESSION which have as many letters between them in the word as in the alphabet ?
Choices:
4
3
2
1
Answer: A
Question: What is the value of 100p2 ?
Choices:
12000
5600
9900
None of these
Answer: C
Question: What is the greatest value of n such that 18^n is a factor of 17! ?
Choices:
2
3
4
5
Answer: B
Question: A rectangular box of volume V has width, depth and height in the ratio of 2:2:1 (in that order). What is the width as a function of V?
Choices:
(7V/6)^(1/4)
(9V/2)^(1/4)
(16V/4)^(1/4)
(4V/2)^(1/4)
Answer: C
Question: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1Â½ times of the previous in how many days will he cover 840 km ?
Choices:
75 days
35 days
15 days
05 days
Answer: B
Question: A boy gets some rupees from his mother and spends them on 5 stores. He spends one rupee more than half of the money. How much money he had at the time of entering the shop.
Choices:
61
62
63
64
Answer: B
Question: If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?
Choices:
xn/(12m)
m/(xn)
12m/(xn)
12mn/x
Answer: A
Question: Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?
Choices:
21 & 145
23 & 145
20 & 140
None
Answer: A
Question: Find the perimeter and area of a square of side 19 cm.
Choices:
361
400
441
484
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?
Choices:
Rs. 1,20,000
Rs. 1,24,000
Rs. 1,21,000
None of these
Answer: B
Question: A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 65 years, that of the parents is 32 years and that of the grandchildren is 5 years. The average age of the family is
Choices:
29 6/7 years
39 6/7 years
19 6/7 years
25 6/7 years
Answer: A
Question: A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area W covered by the two roads?
Choices:
1550
1575
1600
1625
Answer: B
Question: A man can row his boat with the stream at 20 km/h and against the stream in 8 km/h. The man's rate is?
Choices:
7 kmph
6 kmph
5 kmph
4 kmph
Answer: B
Question: The owner of a furniture shop charges his customer 32% more than the cost price. If a customer paid Rs. 5400 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.4090
Rs.6290
Rs.6725
Rs.6708
Answer: A
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 15. Find the sum :
Choices:
7500
5000
6000
None of these
Answer: C
Question: C and D work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that C and D will both be chosen?
Choices:
B)1/4
C)1/15
D)3/8
E)2/3
Answer: B
Question: How many ways are there to award a gold, silver and bronze medal to 15 contending teams?
Choices:
15 × 14 × 13
10!/3!
360
300
Answer: A
Question: The tax on a commodity is diminished by 16% and its consumption increased by 15%. The effect on revenue is?
Choices:
3.8%
3.4%
3.6%
1%
Answer: B
Question: If t > 0, which of the following could be true?
I. t^3 > t^2
II. t^2 = t
III. t^2 > t^3
Choices:
III
IIIII
All of the above
None of the above
Answer: C
Question: Marts income is 60 percent more than Tims income and Tims income is 50 percent less than Juans income. What percentage of Juans income is Marts income
Choices:
b) 120 %
c) 96 %
d) 80 %
e) 64 %
Answer: C
Question: 5358 x 53 = ?
Choices:
283974
273298
273258
277382
Answer: A
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?
Choices:
1:10
1:8
1:4
6:11
Answer: A
Question: What is the unit digit in 7105 ?
Choices:
5
7
9
11
Answer: B
Question: The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.40 $ each, 4 sodas at 1.50 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?
Choices:
1.52$
1.60$
1.64$
1.70$
Answer: A
Question: There were two candidates in an election. Winner candidate received 52% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
3744
299
257
125
Answer: A
Question: Three containers A,B and C are having mixtures of milk and water in the ratio of 1:5 and 3:5 and 5:7 respectively. If the capacities of the containers are in the ratio of all the three containers are in the ratio 5:4:5, find the ratio of milk to water, if the mixtures of all the three containers are mixed together.
Choices:
53:115
115:55
5:115
115:53
Answer: A
Question: For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
2 : 3
2 : 5
1 : 7
Answer: A
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 GRAIN, 3 morsels of white, and 1 morsel of rye. 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
RYE-GRAIN-GRAIN
white − white − rye
Answer: C
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
Choices:
11
13
15
17
Answer: C
Question: A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
2 hrs
3 hrs 15 min
2 hrs 45 min
Answer: A
Question: Total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3/4 liter milk 10 cow gives each 1/4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how?
Choices:
10
15
16
18
Answer: A
Question: In an office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's inbox. Secretary takes the top letter and types it. Boss delivers in the order 1, 2, 3, 4, 5 which cannot be the order in which secretary types?
Choices:
4, 5, 2, 3, 1
4, 5, 2, 3, 0
4, 5, 2, 3, 2
4, 5, 2, 3, 7
Answer: A
Question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choices:
180
287
177
911
Answer: A
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:
62
52
82
32
Answer: D
Question: A factory produces x widgets per day. The factory's fixed costs are $7000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $6200 a day?
Choices:
90.33
168
220
400
Answer: C
Question: Mani buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share must be:
Choices:
13
15
20
25
Answer: B
Question: The sum of the first 100 numbers, 1 to 100 is always divisible by
Choices:
2
2, 4 and 8
2, 4 and 9
None of these
Answer: A
Question: Today John is 3 times older than Mark. If in 12 years, John will be one year younger than twice the age of Mark on that day, how old is Mark today?
Choices:
33
36
38
11
Answer: D
Question: A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
Choices:
70 km
40 km
20 km
None
Answer: A
Question: Two positive integers differ by 4, and sum of their reciprocals is 6. Then one of the numbers is
Choices:
b) 1
c) 5
4
e) 28
Answer: C
Question: A committee is composed of w women and m men. If 4 women and 4 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
Choices:
w/(w+m)
(w+4)/(m+4)
(w+4)/(w+m+4)
(w+4)/(w+m+8)
Answer: D
Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle T in terms of h?
Choices:
h/2
h/4
(h)^2
(h)^2/4
Answer: D
Question: The average of 25 results is 24. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Choices:
228
690
780
458
Answer: A
Question: The ration between the present ages of P and Q is 2:5. If Q is 12 years older than P, what will be the ratio of the ages of P and Q after 12 years?
Choices:
1:2
5:7
4:7
5:8
Answer: D
Question: In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
30
15
20
25
Answer: A
Question: At the moment there are 54,210 tagged birds in a certain wildlife refuge. If exactly 30 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?
Choices:
66.67
67
65.99
67.26
Answer: A
Question: Renuka got married 8 years ago. Today her age is 4/3 times of marriage. Her daughter age is 1/8 times her age. her daughter age is
Choices:
4 years
6 years
8 years
9 years
Answer: A
Question: A cricket player whose bowling average was 24.50 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.50. What will be the number of wickets taken by him till the last match?
Choices:
72
141
96
108
Answer: B
Question: The average of first 18 even numbers is?
Choices:
19
16
11
17
Answer: A
Question: Mr. RIDDLE invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 43% and Fund Y paid 28%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?
Choices:
56,876.45
77,789.45
78,450.70
87,987.34
Answer: C
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
88
25
99
01
Answer: B
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Choices:
5/12
5/18
2/12
5/11
Answer: A
Question: On dividing 171 by a number, the quotient is 8 and the remainder is 3. Find the divisor.
Choices:
19
20
21
22
Answer: C
Question: If 0 < a < b and k = (2a + 8b)/b , which of the following must be true?
Choices:
k < 7
k < 10
k > 10
k > 11
Answer: B
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
279
999
287
287
Answer: B
Question: How many seconds will it take for a car that is traveling at a constant rate of 14 miles per hour to travel a distance of 96 yards?	(1 mile = 1,160 yards)
Choices:
12
13
14
17
Answer: C
Question: The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.
Choices:
rs.1375
rs.1475
rs.1575
NONE OF THESE
Answer: A
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 10 and 11. The larger of the two numbers is:
Choices:
253
322
345
395
Answer: A
Question: How many different 6-letter sequences are there that consist of 1A, 4B's and 5C's ?
Choices:
60
100
360
720
Answer: B
Question: How many litres of 6% acid solution must be mixed with 120 gallons of 20% acid solution to obtain an acid solution that is 16%?
Choices:
48 litres
28 litres
49 litres
41 litres
Answer: A
Question: A woman can row upstream 5 kmph and downstream 10 kmph. Find the woman rate in still water and rate of the stream.
Choices:
7.5,2.5
5.5,2.5
5,2.5
1.5,2.5
Answer: A
Question: If 6^r is a factor of (10!)^2, What is the greatest possible value of r ?
Choices:
4
6
8
10
Answer: C
Question: In the following equation what value would come in place of question mark (?)?
5798 – ? = 7385 – 4632
Choices:
2595
2775
3045
None of these above
Answer: C
Question: There are, in a certain league, 14 teams, and each team face another team for a total of 5 times. How many games are played in the season?
Choices:
455
1400
180
560
Answer: A
Question: If John invested $ 1 at 4 percent interest compounded annually, the total value of the investment, in dollars, at the end of 4 years would be
Choices:
4(1.5)
(1.05)^4
1 + (0.04)^4
1 + 4(0.05)
Answer: B
Question: If the product of 8 integers is negative, at most how many of the integers can be negative?
Choices:
3
4
5
7
Answer: D
Question: If a and b are odd integers, which of the following is an even integer?
Choices:
3a+b
4a+b
2a-b
a-8b
Answer: A
Question: A man walks at a speed of 7 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
1 1/2 hours
2 1/6 hours
2 1/1 hours
2 1/2 hours
Answer: A
Question: In a competitive examination in state A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each state?
Choices:
7500
7000
8000
8400
Answer: C
Question: If F(x, n) be the number of ways of distributing "x" toys to "n" children so that each child receives at the most 2 toys then F(4, 3) =
Choices:
4
6
5
7
Answer: B
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability E that all three secretary are assigned at least one report?
Choices:
64/81
4/9
16/81
5/9
Answer: B
Question: Of the 200 math majors at a certain university, 30 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 80 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Choices:
20
30
45
60
Answer: C
Question: Frances can complete a job in 8 hours, and Joan can complete the same job in 12 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?
Choices:
7 p.m.
8 p.m.
10 p.m.
12 p.m.
Answer: A
Question: Amar takes as much time in running 15 meters as a car takes in covering 40 meters. What will be the distance covered by Amar during the time the car covers 1.9 km?
Choices:
720 m
712 m
600 m
640 m
Answer: B
Question: Ms. Mary sold two properties, X and Y, for $25,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Choices:
$2222
$2320
$2083.33
$2183.33
Answer: C
Question: The ratio of the selling prices of three articles is 5:6:9 and the ratio of their cost prices is 4:5:8 respectively. What is the ratio of their respective percentages of profit, if the profit on the first and the last articles is the same?
Choices:
10:8:5
5:6:9
7:6:9
Cannot be determined
Answer: A
Question: 42 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
16
13
14
19
Answer: C
Question: What is the remainder when 8^1 + 8^2 + 8^3 +...+ 8^9 is divided by 8?
Choices:
0
2
5
None of the above
Answer: A
Question: A circular logo is enlarged to fit the lid of a jar. The new diameter is 40 per cent larger than the original. By what percentage has the area of the logo increased?
Choices:
96
100
125
250
Answer: A
Question: In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/6 . If the probability that a number 12 or larger is drawn is 1/3 , what is the probability that a number less than or equal to 20 is drawn?
Choices:
1/6
1/3
1/2
5/6
Answer: D
Question: Ron begins reading a book at 2: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
Choices:
7: 30 p.m.
10: 45 p.m.
11: 30 p.m.
11: 45 p.m.
Answer: C
Question: A boat travels 80 km downstream in 8 hours and 60 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Choices:
7.5 km/hr, 2.5 km/hr
1 km/hr, 6 km/hr
2 km/hr, 1 km/hr
4 km/hr, 1 km/hr
Answer: A
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Choices:
132
156
158
267
Answer: A
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
49
52
53
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150 meter
186 meter
288 meter
265 meter
Answer: A
Question: Which of the following equations is NOT equivalent to 4c^2 = d^2 - 9 ?
Choices:
4c^2 - d^2 = -9
4c^2= (d + 3)(d - 3)
2c = d - 3
c^2 = (d^2-9)/4
Answer: C
Question: Virat buys an old car for Rs. 50000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
Choices:
11 (1/9) %
12 (2/3) %
12%
None of these
Answer: A
Question: A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. what is the rate of interest ?
Choices:
4 %
5 %
6 %
7 %
Answer: C
Question: How much is 85% of 40 is greater than 4/5 of 25?
Choices:
14
88
12
66
Answer: A
Question: On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 28 inch from the base of the mountain. How many km is he from the base of the mountain?
Choices:
12.2
14.8
14.82
14.12
Answer: A
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 25 miles per gallon, and from Town B to Town C, the car averaged 30 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
25
23
22
26.5
Answer: D
Question: Five bells ring together and ring at intervals of 2, 6, 8, 12 and 15 seconds respectively. How many times will they ring together in 60 minutes?
Choices:
33
32
31
30
Answer: C
Question: Submarine M and Submarine N are equipped with sonar devices that can operate within a 5,000 yard range. Submarine M remains in place while Submarine N moves 4,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine N continue to move and still be within the sonar range of Submarine M? I. North II. South III. West
Choices:
II only
I and III only
III only
II,III only
Answer: B
Question: In a group of 100 cars, 37 cars do not have air conditioning. If at least 41 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
Choices:
47
59
51
53
Answer: B
Question: The difference between simple and compound interest on Rs. 1700 for one year at 10% per annum reckoned half-yearly is?
Choices:
4.25
9.25
3.25
2.25
Answer: A
Question: Lines y=√5·x+1 and y=2√5·x−1 intersect at what height above the x axis?
Choices:
3
3√5
0
5√5
Answer: A
Question: A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders E when the order of the divisors is reversed.
Choices:
4,2,1
E=3,2,1
E=6,4,2
None of above
Answer: C
Question: Of the 100 athletes at a soccer club, 40 play defense and 60 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Choices:
10 to 40
20 to 40
30 to 70
40 to 70
Answer: B
Question: What is the units digit of (12^3)(15^4)(31^7)?
Choices:
0
4
6
8
Answer: A
Question: If the sum of n terms of two series in A.P. are in the ratio (5n + 4) : (9n + 6) then find the ratio of their 13th terms.
Choices:
129/1378
129/136
129/134
129/131
Answer: D
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 7720 votes were polled, then how many valid votes did B get?
Choices:
2999
2834
2509
2991
Answer: C
Question: We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $368. How many math books did we buy?
Choices:
32
36
40
44
Answer: A
Question: A train 90 meters long completely crosses a 270-meter long bridge in 30 seconds. What is the speed of the train in km/h?
Choices:
37.2 km/h
40.2 km/h
43.2 km/h
46.2 km/h
Answer: C
Question: The county-mandated guidelines at a certain community college specify that for the introductory English class, the professor may choose one of three specified novels, and choose two from a list of 5 specified plays. Thus, the reading list for this introductory class is guaranteed to have one novel and two plays. How many different reading lists could a professor create within these parameters?
Choices:
30
90
150
360
Answer: A
Question: Triangle ATriangle B are similar triangles with areas 2023 units square and 1792 units square respectively. The ratio of there corresponding height would be
Choices:
17:16
23:27
13:17
15:23
Answer: A
Question: 7 letters have to be put into their 7 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes?
Choices:
1/720
1/5040
1/240
3/5
Answer: B
Question: If an article is sold at 18% profit instead of 11% profit, then the profit would be $63 more. What is the cost price?
Choices:
$900
$1200
$1500
$1800
Answer: A
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choices:
18
22
24
none of these
Answer: C
Question: What is the present age of Kim, given that the ratio between her age and her sisters age 7 years ago was 4:3, and her sister is presently 31 years old.
Choices:
19
22
21
24
Answer: C
Question: What is the smallest positive perfect square that is divisible by 4, 9, and 18?
Choices:
36
144
625
900
Answer: A
Question: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ?
Choices:
48
26
98
27
Answer: A
Question: A man sold 20 articles for $40 and gained 20%. How many articles should he sell for $90 to incur a loss 20%?
Choices:
36
40
50
67.5
Answer: D
Question: A dishonest milk man tops up his bucket which is only 4/5 th full of milk with water. He again removes 5 liters of this mixture from the bucket and adds an equal quantity of water. If milk is now 60% of the mixture, what is the capacity of the bucket ?
Choices:
20 lit
22.5 lit
25 lit
30 lit
Answer: A
Question: How many ounces of a 60% salt solution must be added to 40 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Choices:
40
50
60.33
70
Answer: A
Question: A and B start a business jointly. A invests Rs. 16,000 for 8 months and B remains in the business for 4 months, Out of total profit, B claims - of the profit. How much money was contributed by B ?
Choices:
12800
12819
12129
12811
Answer: A
Question: Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 7 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Choices:
5.25 mph
3.5 mph
4 mph
0.5 mph
Answer: C
Question: A photography dealer ordered 60 Model X cameras to be sold for $250 each, which represents a 10 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 60 cameras?
Choices:
13% loss
5% profit
13% profit
15% profit
Answer: B
Question: A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points T that an individual player might have scored?
Choices:
13
16
21
23
Answer: D
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
Choices:
4
5
3
2
Answer: A
Question: In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got?
Choices:
2700
2100
2500
3000
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 72 kmph and 90 kmph. In how much time will the trains cross each other?
Choices:
80/9
80/5
80/3
80/1
Answer: A
Question: The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
Choices:
3/5
4/7
4/9
5/7
Answer: A
Question: If the mean of numbers 28, x, 42, 78 and 104 is 90, then what is the mean of 128, 255, 511, 1023 and x?
Choices:
275
355
415
423
Answer: D
Question: 42573y is exactly divisible by 72, then what is the minimum value of y?
Choices:
4
6
8
9
Answer: B
Question: For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score R for the exam?
Choices:
74
78
80
82
Answer: A
Question: 5 years ago, Paula was 3 times as old as Karl. In 6 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Choices:
46
50
54
58
Answer: C
Question: A five-person team is to be formed from a pool of 6 East All Stars and 6 West All Stars. What is the probability that the team will contain at least 2 East All Stars?
Choices:
29/33
57/120
47/144
119/720
Answer: A
Question: A rectangular park is 110 m long and 65 m wide.in this park there is 2.5m wide path all four side.on this path on the rate of 7.20 per sq. m what will be cost of spreading sand?
Choices:
6120
6250
8285
6565
Answer: A
Question: 9 men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Choices:
29.25
31.2
34
35
Answer: A
Question: There are 6 distinct letters of the English alphabet and 4 distinct digits. all possible 6 character apha-numero codes are generated using any 4 letters of the alphabet and any 2 available digits. If in any given code, the characters are all distinct, then what is the maximum number of such codes that can be generated?
Choices:
64800
8800
22000
6600
Answer: A
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Z apply to what fraction of a week?
Choices:
5/8
9/14
16/21
9/10
Answer: B
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a king?
Choices:
1/26
2/13
1/4
1/13
Answer: D
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 27 kg of zinc has been consumed in it?
Choices:
60 kg
64 kg
70 kg
None
Answer: A
Question: A certain party consists of four different group of people 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?
Choices:
2200
2291
2391
2491
Answer: B
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $70.00 on four CDs and five tapes, how much does one tape cost?
Choices:
$6.25
$7.00
$25.00
$100.00
Answer: B
Question: Anne, Markov, Peter line up at a ticket window. In how many ways can they arrange themselves so that Peter is first in line from the window?
Choices:
b 12
c 9
d 2
e 3
Answer: C
Question: When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $76.50, what was the total value of the item?
Choices:
$1,450
$1,650
$1,850
$2,050
Answer: C
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
477
439
537
Answer: A
Question: The greatest common divisor of (b-2)!,(b+1)!, and (b+4)! is 5040. what is the value of b?
Choices:
10
12
9
6
Answer: C
Question: By walking at 3/4th of his usual speed, a man reaches office 18 minutes later than usual. What is his usual time?
Choices:
54min
65min
60min
70min
Answer: A
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?
Choices:
230
267
288
277
Answer: A
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 153 games will be played during the tournament. Find the number of participants.
Choices:
16
17
18
19
Answer: C
Question: A cab driver 5days income was $30, $50, $60, $65 , $70. Then his average income is?
Choices:
A)$55
C)$65
D)$48
E)$62
Answer: A
Question: A wheel rotates 15 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?
Choices:
12 metre
120 metre
315 metre
130 metre
Answer: C
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 8 AM, what will be the time at the end of 10 days?
Choices:
08:56:24 AM
08:16:40 PM
08:54:24 AM
09:06:36 PM
Answer: C
Question: Judges will select 6 finalists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choices:
140
210
420
1,260
Answer: A
Question: A bicyclist's wheel has a circumference of 6 meters. if the bicyclist covers 180 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Choices:
3
4
5
6
Answer: D
Question: What will come in place of the x in the following Number series? 68, 36, 20, 12, 8, x
Choices:
6
2
1
0
Answer: A
Question: Today is Thursday. The day after 54 days will be?
Choices:
Tuesday
Saturday
Sunday
wednesday
Answer: A
Question: Amit and Ananthu can do a work in 15 days and 90 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
Choices:
70 days
73 days
75 days
77 days
Answer: C
Question: The ratio of three numbers is 4:2:5 and their sum is 121. The second number of the three numbers is?
Choices:
22
27
29
30
Answer: A
Question: A family made a down payment of $100 and borrowed the balance on a set of encyclopedias that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
Choices:
22%
24%
27%
25.67%
Answer: D
Question: The product of the squares of two positive integers is 81. How many pairs of positive integers satisfy this condition?
Choices:
1
2
3
4
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
17
19
14
16
Answer: A
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 36 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
Choices:
16 km/hr
27 km/hr
18 km/hr
None of these
Answer: B
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
2000
2797
1172
1200
Answer: A
Question: Thabo owns exactly 160 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
Choices:
25
35
46
50
Answer: A
Question: If x=1/7, which expression has the greatest value?
Choices:
x^(1/2)
1/(2x)
x/.03
x^(-3)
Answer: D
Question: In a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 8 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 24 standard orders?
Choices:
6
8
9
12
Answer: A
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
178
215
197
172
Answer: B
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
1/6
1/2
1/9
Answer: A
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y + 1)
II. z<(x + 1)/(y + 1)
III. z>(x + 1)/(y - 1)
Choices:
I and II
II and III
II only
I and III
Answer: A
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 50%?
I will see what is the quickest way to solve it then I will provide the explanation
Choices:
3
9
10
11
Answer: A
Question: Find the remainder of the division (2^14)/7.
Choices:
2
3
4
5
Answer: C