antoine-444/aqua_rat_dataset huggingface dataset:
Question: For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?
Choices:
24%
25%
28%
27%
Answer: A
Question: Jaylen was planning to save all summer for a pair of Jordan 12s. They cost $250. Jaylen figured that he could cut grass to help with the cost of the sneakers. How many yards would Jaylen have to cut if he charges $2.15 per yard?
Choices:
226 yards
97 yards
115.74 yards
1 yard
Answer: C
Question: A series of five integers have the following criteria:
I. The median of the integers is 6
II. The only mode is 2
III. The mean is 5
Which of the following is true?
Choices:
The sum of the five integers is 10
The median of the three largest integers is 6.
The largest integer is 9.
The largest integer is 8.
Answer: D
Question: If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
10%
11 1/9 %
9 1/11 %
20 %
Answer: B
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 10:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Choices:
8:00
9:00
10:00
11:00
Answer: B
Question: Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=45, what is the maximum value of y for which f(x,y)=0?
Choices:
35
39
40
42
Answer: B
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
3
166
86
288
Answer: B
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:
277
215
187
165
Answer: B
Question: If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is?
Choices:
18.33
28.33
48.33
98.33
Answer: A
Question: A 64 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choices:
12
13
14
16
Answer: D
Question: Two pipes A and B can separately fill a tank 12 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
6min
10min
8min
9min
Answer: B
Question: A bag holds 4 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Choices:
1/5
3/10
2/7
1/2
Answer: C
Question: A, B and C shared profits in ratio of 5 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
Choices:
20 : 49 : 64
10 : 19 : 64
20 : 29 : 64
30 : 29 : 63
Answer: A
Question: If 2x-1 + 2x+1 = 1280, then find the value of x.
Choices:
2
4
9
6
Answer: C
Question: What should come in the place of the question mark(?) in the following equation?
21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17
Choices:
11 9⁄10
119⁄450
1 29⁄90
None of these
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
2668
1286
19881
Answer: A
Question: A woman started a business investing Rs. 70,000. Roja joined him after six months with an amount of Rs. 1,05,000 and Sachin joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Akash, Roja and Sachin respectively, 3 years after Aman started the business ?
Choices:
12:15:16
42:45:56
None of these
Cannot be determined
Answer: A
Question: A meeting has to be conducted with 5 managers.Find the number of ways in which the managers may be selected from among 9 managers,if 3 managers will not attend the meeting together.
Choices:
1.24
3.12
4.126
5.15
Answer: A
Question: Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
b) x/2 minutes
c) 2x/3 minutes
d) 3x/2 minutes
e) 2x minutes
Answer: D
Question: If the average marks of three batches of 58, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Choices:
54.68
54.6
54.58
None of these
Answer: B
Question: The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 60 terms of this sequence?
Choices:
(1+1/2) – (1/61 +1/ 62)
(1+1/2)* (1/51 +1/ 52)
(1+1/2) + (1/51 +1/ 52)
(1/51 +1/ 52)
Answer: A
Question: 5.511/10.02 =
Choices:
0.55
0.3509
0.351
0.3527
Answer: A
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
22.4
32.8
32.1
Answer: A
Question: A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
Choices:
8
9
10
11
Answer: B
Question: A manufacturer of chocolates makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10. How many “different” boxes of chocolates can be made?
Choices:
27
99
2712
211
Answer: B
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 240 m long?
Choices:
35 sec
44 sec
48 sec
50 sec
Answer: C
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choices:
9 % loss
450
12% loss
12% gain
Answer: A
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Choices:
30
5
40
20
Answer: A
Question: Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.
Choices:
26750
26000
25750
None of these
Answer: A
Question: Which number replace question mark in the series?
16 8 40 20 100 50 250 ? 625
Choices:
125
354
199
540
Answer: A
Question: 2 is what percent of 50
Choices:
4%
6%
8%
10%
Answer: A
Question: Charges made by two companies for the same A/C
Company XCompany Y
Price$575$530
Surcharge as a Percent of Price4%3%
Installation Charge$82.50$93.00
The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
Choices:
$41.60
$50.75
$55.75
$61.25
Answer: A
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
Choices:
20
78
27
28
Answer: A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 188 votes. Find the total number of valid votes?
Choices:
438
436
470
422
Answer: C
Question: Joe had $525,420 in his bank account but he donated 7% of it to charity. How much does Joe have in his bank account now?
Choices:
$488,640.60
$488,600.60
$478,640.60
$348,660.60
Answer: A
Question: If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following formula: S = n(n + 1)/2. Which one of the following statements about S must be true?
Choices:
S is always even.
S must be a prime number
S must not be a prime number
S must be a perfect square
Answer: C
Question: If 4x+y+z=80, 2x-y-z=400,3x+y-z = 20 for integers of x,y and z, find x =?
Choices:
20
15
26
18
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
Choices:
90
50
80
60
Answer: A
Question: A reading list for a certain course consists of 10 books, of which 6 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
Choices:
125
130
144
195
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
277
2651
212
Answer: A
Question: Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 20 Km/hr. Find her average speed during the whole journey?
Choices:
31.11Km/hr
35Km/hr
40Km/hr
45km/hr
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 23, 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:
17.7
22
21.4
21.5
Answer: A
Question: Find the SI on Rs.2400 for 8yrs 4 months at 6% per annum rate of interest ?
Choices:
Rs 1200
Rs 1300
Rs 1400
Rs 1500
Answer: A
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people B who purchased only book A?
Choices:
500
750
1000
1500
Answer: C
Question: 65 bags of nuts are to be divided among 13 students. Each bag contains 15 nuts. How many
nuts will each student receive?
Choices:
75
43
52
78
Answer: A
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
4082.46
4082.45
4082.4
4082.41
Answer: C
Question: Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum W of their ages will be 51, how old is Stephanie ?
Choices:
10
14
20
24
Answer: A
Question: If a 5-digit numerical with local value of digits 3 is 300, 4 is 40000, 5 is 50, 6 is 6 and 7 is 7000, is multiplied by 7 then the difference between local value of 4 in the new numerical and the face value of 3 is
Choices:
397
49997
697
497
Answer: A
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
2666
2999
2661
Answer: A
Question: 6 friends are living in 6 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 6 parking spots. In how many ways can they park their cars so that exactly 4 people park their cars in the spots allotted to them?
Choices:
15
35
42
49
Answer: A
Question: Which of the following is not the square of an integer?
Choices:
385641
190096
432562
522729
Answer: C
Question: Rary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choices:
$35
$70
$105
$210
Answer: B
Question: three men invested sum. and their ratio is 5:7:6. profit is 5400.then b's share
Choices:
2100
2200
2300
2400
Answer: A
Question: One woman and one man can build a wall together in four hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them eight hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
Choices:
1
10/7
12/7
24/7
Answer: D
Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
Choices:
1:27
1:18
1:21
1:12
Answer: A
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 424 different signs. If the company used 422 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 424 signs?
Choices:
248
1692
15,128
30,256
Answer: B
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
278
289
108
271
Answer: C
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
Choices:
3006
3004
3000
3001
Answer: C
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
Choices:
12
88
99
77
Answer: A
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
Choices:
211
224
267
269
Answer: A
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability W that out of the two, one is white and one is blue?
Choices:
41/56
13/28
15/28
5/14
Answer: C
Question: The second angle of a triangle is double the first(110). The third angle is 40 less than
the first(15). Find the first angle.
Choices:
45
55
65
75
Answer: B
Question: If six persons sit in a row, then the probability that three particular persons are always together is
Choices:
1/8
1/5
1/3
1/1
Answer: B
Question: In how many ways the letters of the word MOUSE be arranged?
Choices:
150
160
120
170
Answer: C
Question: find the number, difference between number and its 3/5 is 58.
Choices:
143
144
145
146
Answer: C
Question: Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 9 hours and 16 hours after they passed each other the ratio of the speeds of the two trains was
Choices:
3:2
4:3
5:4
1:2
Answer: B
Question: Excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour?
Choices:
10 min
12 min
8 min
16 min
Answer: A
Question: The sum of the first 70 positive even integers is 4,970. What is the sum of the first 70 odd integers?
Choices:
4600
4300
4900
5000
Answer: C
Question: A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 11:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choices:
38
36
40
42
Answer: D
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?
Choices:
4989600
120960
250035
None of these
Answer: B
Question: When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/6 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
Choices:
2/5
1/2
2/3
6/5
Answer: B
Question: Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $620 (before payroll deductions)?
Choices:
710
750
790
830
Answer: B
Question: The three competitors in a race have to be randomly chosen from a group of four men and five women. How many different such trios contain at least one woman?
Choices:
60
70
80
90
Answer: C
Question: Find the face value of 5 in 5432100
Choices:
5
50000
500000
5000000
Answer: A
Question: An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible?
Choices:
19
60
180
720
Answer: B
Question: In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for?
Choices:
SHORT
SHOOT
SHART
SHAOT
Answer: B
Question: if 5x*x+14*x+k=0 having two reciprocal roots find the value of k.
Choices:
2
3
4
5
Answer: D
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 7 * 10 =?
Choices:
68
72
80
82
Answer: D
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, and 4, how many palindromes are possible?
Choices:
64
96
128
256
Answer: A
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
Choices:
13
15
16
12
Answer: D
Question: f the LCM of two integers a, b (where b> a and a>1) is a*b, then which of the following can not be true?
Choices:
Both a and b can be consecutive integers.
All Prime factors of a must be Prime factors of b.
a and b do not share any Prime factors.
a and b do not have a common factor
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1350
1328
1329
1829
Answer: A
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
8.9 hrs
2.9 hrs
7.2 hrs
8 hrs
Answer: D
Question: Which of the following numbers doesn't belong to the group?
Choices:
14
20
28
36
Answer: A
Question: In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 10,290,000, how many red beads were removed?
Choices:
3
4
5
6
Answer: A
Question: By selling an article at Rs.700, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
s.480
s.500
s.450
s.420
Answer: D
Question: If the area of circle is 706 sq cm then its circumference?
Choices:
88
66
94
90
Answer: C
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 54 seconds. What is the length of each train (in meters)?
Choices:
55
65
75
85
Answer: C
Question: Which of the following fractions is greater than 3/4 and less than 5/6?
1. 3/4 2. 5/6 3. 1/2 4. 2/3 5. 4/5 6. 9/10
Choices:
4/5
9/10
5/6
2/3
Answer: A
Question: Find the sum of prime numbers lying between 58 and 72?
Choices:
258
252
272
None
Answer: A
Question: If a and b are different positive integers and a + b = ab(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choices:
I only
III only
I and II
I and III
Answer: A
Question: A car travels uphill at 30 km/hr and downhill at 50 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
Choices:
33kmph
34kmph
35kmph
36kmph
Answer: C
Question: A circle passes through two adjacent vertices of a square and is tangent to one side of the
square. If the side length of the square is 2, what is the radius of the circle?
Choices:
4 /3
5 /4
6 /5
None of these
Answer: B
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 1800, then what is the smallest possible value of n?
Choices:
10
12
15
18
Answer: A
Question: One hour after Yolanda started walking from X to Y, a distance of 80 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 8 miles per hour and Bobâs was 9 miles per hour, how many miles had Bob walked when they met?
Choices:
38.07
42
39
40.07
Answer: A
Question: Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 33 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
Choices:
3
27/8
9
12
Answer: B
Question: There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?
Choices:
30
50
60 peacocks
80
Answer: C
Question: What is the two-digit number? I. Sum of the digits is 7. II. Difference between the number and the number obtained by interchanging the digits is 9. III. Digit in the ten's place is bigger than the digit in the unit's place by 1.
Choices:
II and III
I and III
I and II as well as I and III
All
Answer: C
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 3000 Km?
Choices:
25.
30.
150.
50.
Answer: C
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
Choices:
3/4
4/7
4/11
5/7
Answer: A
Question: 55th word of SHUVANK in dictionary??
Choices:
AHSNKUV
AHNKUSV
AHNKUVS
AHNKUVV
Answer: A
Question: If the price of a book is first decreased by 25% and then increased by 20%, then the decrease in the price will be?
Choices:
10%
25%
18%
30%
Answer: A
Question: A person covers a distance in 21 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Choices:
4 m/s
14 m/s
10 m/s
5 m/s
Answer: B
Question: Barbara has 10 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choices:
66
36
70
74
Answer: C
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 960gm. for a kg.His gain is …%.
Choices:
4.16%
4.26%
6.26%
7.26%
Answer: A
Question: The average age of a group of persons going for picnic is 16 years. Twelve new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Choices:
10
12
40
50
Answer: B
Question: What percent is 36 paisa's of 12 rupees?
Choices:
3 %
4 %
5 %
6 %
Answer: A
Question: 9C2 + 9C3 +10C4=?
Choices:
330
360
390
410
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
15
17
24
26
Answer: C
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Choices:
35.5
25.5
62
62.5
Answer: D
Question: In 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each, how many pumps will raise 2030 tons of water in 12 days of 11 hrs each?
Choices:
15
18
21
22
Answer: A
Question: In the City 45% of the population lived in the East at the Beginning of the Year and the rest of the City lived in the West. During the Same Year, the population of City grew by 5.0%. If the population in the West grew by 2.5%, by how much did the population grow in the remaining side?
Choices:
2.5%
5.0%
8.2%
7.5%
Answer: D
Question: What is the difference between the C.I. on Rs. 7000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Choices:
s.2.08
s.2.02
s.2.86
s.2.42
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 48 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 m^3) is:
Choices:
3620
4512
5620
5120
Answer: D
Question: Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Choices:
18%
21%
16%
None
Answer: A
Question: The average age of 20 students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age?
Choices:
24
20
22
18
Answer: B
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 108. What was the number he chose?
Choices:
123
277
267
120
Answer: A
Question: 140 college students were asked in a survey if they preferred Windows or Mac brand computers. 80 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 50 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
10
50
60
75
Answer: A
Question: If n is a positive integer such that
n!/(n-2)! = 342, find n.
Choices:
18
19
20
21
Answer: B
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 19 positive perfect squares?
Choices:
1,164
1,240
1,316
2,470
Answer: D
Question: A merchant marks his goods up by 40% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
Choices:
12%
21%
15%
17%
Answer: A
Question: The radius of a cone is 49 m, slant height is 35 m. Find the curved surface area?
Choices:
5390
6430
6720
7280
Answer: A
Question: Amit Kumar invested an amount of 15,000 at compound interest rate of 10 pcpa for a period of two years. What amount will he receive at the end of two years?
Choices:
18,500
17,000
17,500
None of these
Answer: D
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling "rock on!", what are the chances that the next person who yells "rock on!" will be a geek?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: The product of n^2 consecutive positive integers is always divisible by
Choices:
n^2 -1
2n +1
n^2 + 1
n!
Answer: A
Question: If a boat goes 5km upstream in 25 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is ?
Choices:
19
20
21
22
Answer: A
Question: How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6, 7 and 8 such that the numbers are divisible by 9?
Choices:
4
5
6
8
Answer: D
Question: Write 450,000,000,000 in scientific notation.
Choices:
400.5 * 10 11
40.5 * 10 11
4.5 * 10 11
450.00 * 10 11
Answer: C
Question: The Racing magic takes 60 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Choices:
6
9
12
15
Answer: A
Question: Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.2,10,000 earned at the end of 3 years from the start of the business in 1999 ?
Choices:
Rs.50,000
Rs.70,000
Rs.75,000
None of these
Answer: B
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6735
Rs.6721
Rs.6725
Rs.6729
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions?
Choices:
1704 m
2179 m
3520 m
4297 m
Answer: C
Question: The present population of a town is 500. Population increase rate is 10% p.a. Find the population of town before 2 years?
Choices:
615
810
413
123
Answer: C
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 23.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choices:
two
three
four
five
Answer: A
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Choices:
14 years
18 years
20 years
22 years
Answer: C
Question: In the third grade of Windblown School there are 108 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
Choices:
0.
8.
10
12
Answer: A
Question: There are 4 more women than men on Centerville's board of education. If there are 14 members on the board, how many are women?
Choices:
4
6
7
9
Answer: D
Question: One urn contains two pieces of candy{one green and one red. A second urn
contains four pieces of candy{one green and three red. For each urn, each piece of candy is
equally likely of being picked. You pick a piece of candy from each urn and eat the two chosen
candies.
If you eat exactly one piece of green candy, you draw a second piece of candy from the urn
still containing a green piece of candy. You now eat the candy you just chose. What is the
probability that you ate two pieces of green candy?
Choices:
1/4
3/8
1/2
5/8
Answer: B
Question: An athlete runs 200 meters in 24 seconds. His speed is ?
Choices:
17 k/hr
27 km/hr
30 km/hr
None of these
Answer: C
Question: In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled?
Choices:
1400
1550
1600
1650
Answer: A
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 48. what is sum of the numbers?
Choices:
28
76
84
85
Answer: A
Question: How many options are there for a code consisting of 2 even digits followed by 2 odd digits?
Choices:
5^4
5^5
4^4
10^4
Answer: A
Question: Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ?
when x = -5 and y = -2
Choices:
3
5
6
None
Answer: A
Question: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?
Choices:
25%
18%
30%
none of these
Answer: A
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
15 sec
19 sec
12 seconds
20 sec
Answer: C
Question: If y = 35p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?
Choices:
2p
5p
7p
p^2
Answer: C
Question: A man can do a piece of work in 6days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Choices:
5 1/2
7 1/2
6
9 1/2
Answer: C
Question: Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.
Choices:
I and II only
I and III only
III only
I, II, and III
Answer: D
Question: A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choices:
0.3489
1/2
3/4
5/6
Answer: A
Question: If apples are bought at the rate of 30 for Rs.100. How many apples must be sold for Rs.100 so as to gain 20%?
Choices:
25
20
22
23
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
22.1 sec
32.1 sec
13.2 sec
Answer: A
Question: Nicky and Cristina are running a 300 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
50
30
60
45
Answer: B
Question: Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a - b)/2 ?
Choices:
10
19
5
2
Answer: C
Question: Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X
Choices:
29
34
21
20
Answer: B
Question: What should come in place of the question mark (?) in the following equation?
10000+ 566 = 45+ ?
Choices:
35876
45943
10521
35786
Answer: C
Question: By selling 15 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
7
6
4
10
Answer: D
Question: A train 500 m long can cross an electric pole in 10 sec and then find the speed of the train?
Choices:
150
160
170
180
Answer: D
Question: A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum.
Choices:
1625
1725
1825
1925
Answer: A
Question: Chang Li has pet cockroaches that multiply at the same rate every week.
The first week he had 5, the next week he had 10, the second week he had 20, and the fourth week he had 80. How many did he have on week 3?
Choices:
25
40
60
50
Answer: B
Question: If the positive integer x is a multiple of 5 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: B
Question: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?
Choices:
975 km
678 km
900 km
546 km
Answer: C
Question: All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 84 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
27
30
33
36
Answer: D
Question: Danny bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Choices:
50QR/W.
25RQ/W.
25RW/Q.
RW/(4Q).
Answer: C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is?
Choices:
21
52
56
12
Answer: A
Question: When a certain perfect square is increased by 148, the result is another perfect square. What is the value of the original perfect square?
Choices:
1296
1681
1764
2500
Answer: A
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Choices:
120000
187899
178968
789698
Answer: A
Question: If G = 775 × 778 × 781, what is the remainder when G is divided by 14?
Choices:
6
8
9
10
Answer: A
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
4175
5412
4712
6400
Answer: D
Question: ABCDEFGHI is a regular polygon with nine sides. What is the measure in degrees of angle ACB?
Choices:
20
25
27
30
Answer: A
Question: An uneducated retailer marks all his goods at 40% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Choices:
13.50 %
5 %
14.50 %
None
Answer: B
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/53
9/42
6/15
7/12
Answer: B
Question: The maximum numbers of students among them 451 pens and 410 toys can be distributed in such a way that each student gets the same number of pens and same number of toys is
Choices:
41
1001
1911
None
Answer: A
Question: If you cut a 18ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
Choices:
6ft
8ft
7ft
12ft
Answer: C
Question: When is |x-14| = 14-x?
Choices:
x=0
x>14
x<=14
x< 0
Answer: C
Question: The average age of a husband, wife and their child 5 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
54 years
11.4 years
12.6 years
14 years
Answer: B
Question: What least no. must be subtracted from 427398 so that remaining no.is divisible by 10?
Choices:
8
7
6
3
Answer: A
Question: If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
Choices:
40%
20%
60%
56%
Answer: A
Question: If 4 spiders make 3 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
Choices:
12
27
24
16
Answer: A
Question: A man on tour travels first 160 km at 72 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
35.55 km/hr
71.11 km/hr
36 km/hr
75.8 km/hr
Answer: D
Question: Find out the C.I on Rs.9000 at 4% p.a. compound half-yearly for 1 1/2 years
Choices:
550.87
506.04
506.03
306.01
Answer: A
Question: A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 10% so that the customer could not buy the required amount of the product. The customer managed to buy only 80% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
Choices:
12%
14%
16%
18%
Answer: A
Question: The population of a town increased from 75,000 to 2,25,000 in a decade. The average percent increase of population per year is :
Choices:
20%
6%
8.75%
None of these
Answer: A
Question: In how many ways can 4 men & 3 women can be made from a gang of 6 men & 7 women ?
Choices:
50
20
250
260
Answer: A
Question: The side of a square is increased by 10% then how much % does its area increases?
Choices:
10.00 %
25.00 %
21.00 %
15.00 %
Answer: C
Question: What is the sum of the different positive prime factors of 550?
Choices:
11
15
16
18
Answer: D
Question: Two dice are tossed. The probability that the total score is a prime number is:
Choices:
5/12
6/12
9/12
4/12
Answer: A
Question: The average (arithmetic mean) of y numbers is x. If 10 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Choices:
x/6 - 5
x/7 - 5
x/5 - 3
x/5 - 6
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 3025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
150
160
170
220
Answer: D
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?
Choices:
36.7
36.5
36.2
36.1
Answer: B
Question: A division of a company consists of six men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
2/5
2/11
5/12
7/15
Answer: B
Question: HOW MANY KGS OF TEA WORTH RS.20/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 10%
Choices:
3
6
5
2
Answer: A
Question: If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer d?
Choices:
(2d-1)/(d^4- d)
d^2- d
2d-1
(2d-1)/(d^2- d)
Answer: D
Question: Find the natural number nearest to 9217 which completely divides 88 without giving any remainder.
Choices:
9240
9184
9152
9169
Answer: A
Question: If 15 students in a class average 70% on an exam and 10 students average 90% on the same exam, what is the average in percent for all 25 students?
Choices:
78%
80%
81%
82%
Answer: A
Question: If X,Y is 24%,30% smaller than Z then how much percentage is Y greater than X?
Choices:
7 17/19 %
13 1/2%
14%
15%
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 40% of that number?
Choices:
340
344
346
348
Answer: A
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of
the boat in still water is
Choices:
13 kmph
14 kmph
15 kmph
None of these
Answer: B
Question: If A:B = 1/3: 1/2 B:C = 1/3:1/2 then A:B:C?
Choices:
4:6:9
7:6:9
6:8:9
8:4:9
Answer: A
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total R of the book?
Choices:
3003
3024
3021
3018
Answer: A
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y is odd
II. (x+z)/y is an integer
III. xz is even
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: If A = c% of y and B = y% of c, then which of the following is true?
Choices:
2) A is greater than B
3) Relationship between A and B cannot be determined.
4) If x is smaller than y, then A is greater than B.
5) None of the above
Answer: D
Question: A table is bought for Rs.1020/- and sold at Rs.750/- find the loss percentage
Choices:
26% Loss
20% Loss
20% Gain
30% Gain
Answer: A
Question: Riya and Priya set on a journey. Riya moves eastward at a speed of 25kmph and Priya moves westward at a speed of 40 kmph.How far will be priya from Riya after 15 minutes
Choices:
16kms
50kms
30kms
40kms
Answer: A
Question: An unbiased die is tossed. Find the probability of getting a multiple of 4
Choices:
B)2/5
C)1/4
D)1/6
E)3/7
Answer: C
Question: A number of 53 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choices:
12
15
16
17
Answer: D
Question: The hen lays 3 eggs then she lays 6 eggs more. Totally how many eggs she lays?
Choices:
9
19
11
23
Answer: A
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. 2/z T 2/z=z
III. z T z/z-1=1
Choices:
b.) I and II only
c) I and III only
d) II and III only
e) I, II and III only
Answer: A
Question: N is an even 3-digit number such that the last 3 digits of N^2 are N itself. What is the value of N?
Choices:
141376
141476
181376
141396
Answer: A
Question: A 12% stock yielding 10% is quoted at :
Choices:
110
112
120
160
Answer: C
Question: Sheik Abdullah decides to buy 2 new cars for his collection. If he has to choose between nine different cars, what is the number of purchasing possibilities he has?
Choices:
B)1412
C)1512
D)1612
E)1712
Answer: B
Question: At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors
Choices:
25 to 3
9 to 50
6 to 25
3 to 10
Answer: A
Question: If p = ||q – 3| – 2|, for how many values of q is m = 6?
Choices:
4
3
2
1
Answer: C
Question: x% of y is y% of ?
Choices:
x
x/100
y/100
None
Answer: A
Question: How many odd three-digit integers greater than 400 are there such that all their digits are different?
Choices:
156
172
181
200
Answer: D
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A. 40
Choices:
8
46
44
64
Answer: C
Question: If (n+2)!/n!=110, n=?
Choices:
9
10
11
12
Answer: A
Question: g is a negative number and h is a positive number, which of the following options must be positive?
Choices:
h/g
(a + b)^4
g/h
gh
Answer: B
Question: In a right angled triangle, two sides are consecutive whole number in which one side is hypotenuse. what could be the possible length of third side?
Choices:
361
269
171
112
Answer: A
Question: In 1990 a total of p earthquakes occurred worldwide, some but not all of which occurred in Asia. If r of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
r/p
r/(p-r)
p/(p-r)
1- (r/p)
Answer: B
Question: The length of a rectangle is double its width. If the length is diminished by 5cm and the width is increased by 5cm then its area is increased by 75cm square. What is the length of the rectangle?
Choices:
30
40
56
65
Answer: B
Question: The two roots of the quadratic equation x2 - 85x + c = 0 are prime numbers. What is the
value of c?
Choices:
166
332
664
1328
Answer: A
Question: A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Choices:
18
71
16
17
Answer: A
Question: A credit union customer borrowed $15,000, but received y dollars less than this due to discounting. If there was a separate $20 service charge, then, in terms of y, the service charge was what fraction of the amount that the customer received?
Choices:
20/(15,000 + y)
20/(15,000 - y)
20y/(15,000 - y)
20(y-1)
Answer: A
Question: If a cards are drawn from apack of 82 cards. The probability of getting a queen of club or a king of heart is
Choices:
1/24
1/31
1/45
1/41
Answer: D
Question: 5 years ago Kate was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find the age of son?
Choices:
8
9
10
11
Answer: D
Question: If the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is:
Choices:
40%
30%
25%
35%
Answer: A
Question: P alone can complete a job in 12 days. The work done by Q alone in one day is equal to one-half of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choices:
6
7
8
9
Answer: C
Question: Jane makes toy bears. When she works with an assistant, she makes 70 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
80%
100%
180%
200%
Answer: A
Question: Maya purchase 15 jars in a store then she returned 5 jars to store .Now how many jars she had?
Choices:
B)11
C)19
D)10
E)4
Answer: C
Question: The principal that amounts to Rs. 4893 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Choices:
s. 4076
s. 4085
s. 4096
s. 5096
Answer: B
Question: Look at this series: 15, 15, 27, 27, 39, 39, 51, 51, ... What number should fill the blank?
Choices:
39
63
15
None
Answer: B
Question: Increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by
Choices:
12.36%
12.94%
13.65%
14.56%
Answer: A
Question: A and B together can do a work in 7 days. If A alone can do it in 56 days. In how many days can B alone do it?
Choices:
8
21
20
25
Answer: A
Question: Pipes A and B can fill a cistern in 8 and 56 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
14
16
18
19
Answer: A