antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score.
Choices:
173
174
175
176
Answer: B
Question: The product of the digits of the four-digit number T is 36. No two digits of are identical. How many different numbers are possible values of T ?
Choices:
12
24
36
48
Answer: B
Question: Set A of 8 positive integers may have the same element and have 37. And set B of 8 positive integers must have different elements and have 37. When m and n are the greatest possible differences between 37 and other elements’ sums in set A and set B, respectively, m-n=?
Choices:
22
23
25
26
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.9
1.2
1.7
Answer: A
Question: A boats man can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations?
Choices:
40
126
18
91
Answer: A
Question: If 7^r is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of r?
Choices:
13
14
15
16
Answer: D
Question: How many integers between 100 and 190, inclusive, cannot be evenly divided by 3 nor 5?
Choices:
44
46
48
50
Answer: C
Question: If selling price is doubled, the profit triples. Find the profit percent:
Choices:
100
278
266
181
Answer: A
Question: Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?
Choices:
260
316
320
350
Answer: C
Question: If the price of a certain bond on May 1st was 2/3 the price of the bond on June 1st and the price of the bond on July 1st was 25% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
Choices:
75%
120%
133 1/3%
150%
Answer: C
Question: I. x2 + 3x - 18 = 0,
II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
Choices:
If x > y
If x ≤ y
If x ≥ y
If x = y or the relationship between x and y cannot be established.
Answer: D
Question: In a jar there are 15 white balls, 25 red balls, 10 blue balls and 20 green balls. How many balls must be taken out in order to make sure we took out 8 of the same color?
Choices:
b)	23
c)	29
d)	32
e)	53
Answer: B
Question: Alice and Heather are 20 miles apart and walk towards each other along the same route. Alice walks at constant rate that is 1 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Alice, how far from the original destination has Heather walked when the two meet?
Choices:
8 miles
10 miles
6 miles
12 mile
Answer: A
Question: Let p be a prime number greater than 2, and let N = 32p. How many odd divisors does N have?
Choices:
1
3
4
5
Answer: A
Question: Given two fair dice, what is the probability Z that the sum of their numbers is 4 if exactly one die shows a 3?
Choices:
a) 2/11
c) 3/11
d) 2/39
e) 1/5
Answer: A
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value W of the product xy?
Choices:
-3
0
2
None of the above
Answer: B
Question: One-third of 1206 is what percent of 200?
Choices:
201
300
None of these
cannot be determined
Answer: A
Question: In a clock (Conventional clock with numbers 1 to 12 in order)is cut into 3 pieces such that the sum of each piece in AP with a common difference of 1. What is the count of numbers in each piece? and what are the numbers?
Choices:
26
27
28
29
Answer: A
Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Choices:
230
330
340
360
Answer: D
Question: Mr. loyd wants to fence his Square shaped land of 150Sqft each side.If a pole is laid every 30ft how many poles do he need?
Choices:
30
40
50
60
Answer: A
Question: Find the number of ways in which 8 different beads can be arranged to form a necklace.
Choices:
20
2520
60
80
Answer: B
Question: Double of Quarter of 1 percent written as a decimal is :
Choices:
0.0005
0.25
0.005
None of these
Answer: C
Question: A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
48
36
60
None of these
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 , 46,51 ,x
Choices:
26
54
35
45
Answer: B
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Choices:
1
4
5
6
Answer: A
Question: 105 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
Choices:
10~20.
20~30.
30~40.
40~50.
Answer: D
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.12600 after a year?
Choices:
2881
2887
9977
3780
Answer: D
Question: A box contains 5 green, 4 yellow and 3 white marbles, 3 marbles are drawn at random. What is the probability that they are not of the same colour?
Choices:
41⁄44
13⁄55
52⁄55
None of these
Answer: A
Question: The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?
Choices:
10^3
10^7
10^6
10^5
Answer: A
Question: In a class of 20 students, 3 students did not borrow any books from the library, 9 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
14
15
16
17
Answer: A
Question: 9773 + x = 13200, then x is ?
Choices:
3427
3337
2337
None of these
Answer: A
Question: 8 coins are tossed. Whats is the probability that one and only one turns up head ?
Choices:
1/32
1/64
1/128
1/189
Answer: A
Question: The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?
Choices:
35
20
32
23
Answer: D
Question: The S.I. on a certain sum of money for 4 years at 12% per annum is half the C.I. on Rs. 6000 for 2 years at 15% per annum. The sum placed on S.I. is?
Choices:
2017.625
2013.625
2015.625
2011.625
Answer: C
Question: $300 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Choices:
$150
$125
$120
$250
Answer: C
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters W long?
Choices:
1
1.5
2
3
Answer: A
Question: Some persons can do a piece of work in 16 days. Two times the number of these people will do half of that work in?
Choices:
4
5
6
8
Answer: A
Question: 35.62 + 408.926 + 48.2 = ?
Choices:
492.243
492.746
622.443
None of these
Answer: B
Question: The arithmetic mean and standard deviation of a certain normal distribution are 10.5 and 1, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
8.5
11.5
12
12.5
Answer: A
Question: How many digits are in the number 50^8 × 8^3 × 11^2 x 10^2?
Choices:
20
21
18
17
Answer: B
Question: McDonald's ran a campaign in which it gave game cards to its customers. These game cards made it possible for customers to win hamburgers, French fries, soft drinks, and other fast-food items, as well as cash prizes. Each card had 10 covered spots that could be uncovered by rubbing them with a coin. Beneath three of these spots were "No Prize" signs. Beneath the other seven spots were names of prizes, two of which were identical.
For example, one card might have two pictures of a hamburger, one picture of a Coke, one of French fires, one of a milk shake, one of 5 Dollar, one of 1000 Dollar and three "No Prize" signs. For this card the customer could win a hamburger.
To win on any card, the customers had to uncover the two matching spots (which showed the potential prize for that card) before uncovering a "No Prize"; any card with a "No Prize" uncovered was automatically void. Assuming that the two matches and the three "No Prize" signs were arranged randomly on the cards, what is the probability of a customer winning?
Choices:
0.1
0.12
0.18
0.13
Answer: A
Question: A box contains 60 balls, numbered from 1 to 60. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
1/4
1/2
5/8
3/4
Answer: A
Question: Shanthi went to the stationers and bought things forh Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
25
24.5
32.9
Answer: A
Question: A boy has Rs. 720 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:
110
140
135
120
Answer: C
Question: If ax = by
Choices:
log a/ log b = x/y
log a/ log b = y/x
None
Cannot be determined
Answer: B
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $4 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Choices:
45%
11%
12%
15%
Answer: A
Question: A batsman scored 1 runs in his 18th innings and that makes his average 18. Find his average upto
the 17th innings?
Choices:
19
21
22
23
Answer: A
Question: The perimeter of a semi circle is 140 cm then the radius is?
Choices:
27
19
11
12
Answer: A
Question: According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 280 6 ounces servings of orange juice?
Choices:
a) 35
c) 50
d) 67
e) 100
Answer: A
Question: Fill in the blank with the correct number in this number series: 20, 65, 27, 61, __, 57, 41, ?
Choices:
34
38
25
56
Answer: A
Question: The Racing magic takes 50 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: D
Question: A loan has a variable interest rate that fluctuates between 4% and 9% of the base payment per month. If base payments remain at $500 each month and an additional monthly surcharge of 2% is added to the combined (base + interest), what would be the greatest possible payment due in any given month?
Choices:
$555.55
$555.90
$556.45
$556.90
Answer: B
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 16 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Choices:
4
8
7
32
Answer: C
Question: A sum of Rs. 12500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
5%
6%
8%
14%
Answer: B
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?
Choices:
5%
6%
7%
2%
Answer: A
Question: A tightrope approximately 320 m long is suspended between two poles. During a performance, a break occurs in the line. Assume that the line has an equal chance of breaking anywhere along its length. What is the probability that the break happened in the first 50 meters of the rope?
Choices:
1/2
5/32
5/27
. 2/3
Answer: B
Question: 8.036 divided by 0.04 gives :
Choices:
200.9
20.06
100.9
200.6
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
134500 m
153600 m
167360 m
173600 m
Answer: B
Question: If a survey shows that 56 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
64%
72%
82%
86%
Answer: B
Question: Gopal borrows Rs 1,00,000 from a bank at 10% p.a. simple interest and clears the debt in five years. If the installments paid at the end of the first, second, third and fourth years to clear the debt are Rs 10,000, Rs 20,000, Rs 30,000 and Rs 40,000 respectively, what amount should be paid at the end of the fifth year to clear the debt?
Choices:
Rs 24,500
Rs 30,000
Rs 35,900
None
Answer: B
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choices:
Rs.256.29
Rs.256.28
Rs.256.81
Rs.256.25
Answer: D
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 15 m wide at the top and 4 m wide at the bottom and the area of cross-section is 1900 sq m, the depth of cannel is?
Choices:
200
140
240
145
Answer: A
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
61
17
90
15
Answer: C
Question: A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ? (Its a Previously asked on SSC 2012 exam) (*without a train question it is impossible to conduct an exam, I think you got, what I mean)
Choices:
50.4 sec
40.5 sec
50.5 sec
52.0 sec
Answer: A
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Choices:
10
11
12
13
Answer: C
Question: The sum of number of boys and girls in a school is 1150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Choices:
40
60
92
70
Answer: C
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 10, what is the sum of the first 15 terms of the progression?
Choices:
75
60
55
50
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
Choices:
345
5673
4530
4566
Answer: C
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
19828.8
19828.82
19828.89
19828.81
Answer: A
Question: What amount does an investor receive if the investor invests $5000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
$5950
$6050
$6150
$6250
Answer: B
Question: If shares of two persons in profits are Rs.600 and Rs.1000 then ratio of their capitals is
Choices:
3:5
4:3
1:3
1:2
Answer: A
Question: What is the median from the below series
32, 36, 34, 29, 28, 37, and 39
Choices:
34
37
39
32
Answer: A
Question: A cycle is bought for Rs.670 and sold for Rs.880, find the gain percent?
Choices:
31%
54%
38%
80%
Answer: A
Question: How many days per calendar year is the month a factor of the day
Choices:
1
59
90
101
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the article is:
Choices:
487
222
297
111
Answer: A
Question: What number is that, which is to 12 increased by three times the number, as 2 to 9 ?
Choices:
6
8
9
10
Answer: A
Question: One hour after Yolanda started walking from X to Y, a distance of 52 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
Choices:
28
22
21
19.5
Answer: A
Question: Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 10% and the third was 10%. What will be the percentage decrease, if the salary is decreased in a single shot?
Choices:
27.1%
21.1%
23.1%
25.1%
Answer: A
Question: The tax on a commodity is diminished by 10% and its consumption increased by 20%. The effect on revenue is?
Choices:
8% increase
9% decrease
3% decrease
2% decrease
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Five years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
B)89
C)40
D)56
E)45
Answer: B
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 5 meters per second and Jerry is running 50% slower, how much time will it take them to meet if the initial distance between the two is 200 meters and Tom started running 40 seconds before Jerry did?
Choices:
40 sec
1 mnt
52 sec
30 sec
Answer: A
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $48. If $1500 is the total amount invested, how much is invested at 8 percent?
Choices:
b. $566.67
c. $892
d. $1108
e. $1200
Answer: A
Question: Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jack and Jill will make a basket but Sandy will miss?
Choices:
1/16
1/48
1/96
1/168
Answer: B
Question: 6000−(105÷21.0)=?
Choices:
5100
550
598
5995
Answer: D
Question: If 16x = 64^y, which of the following expresses x in terms of y?
Choices:
4^(3y-2)
4^(2y-1)
4^(2y-3)
4^y
Answer: A
Question: A jar has 6 green 4 red and 2 blue marbles what is the probability of drawing 2 marbles randomly and they will be of different colors
Choices:
1/2
2/3
7/9
8/15
Answer: B
Question: If {p} denote the remainder when 3p is divided by 2 then which of the following is equal to 1 for all positive integers p?
I. {2p+1}
II. {2p}+1
III. 2{p+1}
Choices:
II only
I and II
III only
II and III
Answer: B
Question: At a certain organisation, the number of male members went up by 12% in the year 2001 from year 2000, and the number of females members went down by 5% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Choices:
1:3
2:3
3:2
4:7
Answer: D
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
250
260
279
Answer: A
Question: A certain list has an average of 6 and a standard deviation of d (d is positive). Which of the following pairs of data when added to the list, must result in a list of 102 data with standard deviation less than d?
Choices:
(0;0)
(0;6)
(0;12)
(6;6)
Answer: D
Question: Integer X represents the product of all integers between 1 to 28 (inclusive). The smallest prime factor of (x+1) must be
Choices:
Between 11 to 15
Between 15 to 20
Between 20 to 28
Greater than 28
Answer: D
Question: 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
55
44
75
72
Answer: A
Question: In a division, a student took 48 as divisor instead of 36. his answer was 24 . The correct answer is-
Choices:
32
48
28
38
Answer: A
Question: Find the odd man out. 187, 264, 316, 473, 682, 781
Choices:
316
781
682
473
Answer: A
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 500 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Choices:
3600.
5780
5760
6380.
Answer: A
Question: John works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 6 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
1/7
1/2
1/4
1/6
Answer: B
Question: When the airplane moves at an average speed of 450 kmph it reaches its destination on time. When its average speed becomes 400 kmph, then it reaches its destination 30 minutes late. Find the length of journey.
Choices:
1500 km
1100 km
1800 km
None
Answer: C
Question: A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in?
Choices:
40.4 sec
60.4 sec
50.4 sec
80.4 sec
Answer: C
Question: An order was placed for supply of carpeat of breadth 3 metres the length of carpet was 1.44 times of breadth. Subsequently the breadth and length were increased by 25 and 40 percent respectively. At the rate of Rs.45 per square metre, what would be the increase in the cost of the carpet?
Choices:
Rs.398.8
Rs.437.4
Rs.583.2
Rs.354.6
Answer: B
Question: Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 35 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour?
Choices:
40
60
80
100
Answer: D
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 930gm. for a kg.His gain is …%.
Choices:
5.36%
4.26%
6.26%
7.53%
Answer: D
Question: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
Choices:
4
6
7
8
Answer: A
Question: A watch was sold at a loss of 36%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
350
799
778
901
Answer: A
Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 510 or over 780. If the individual ranges of the three people's scores in those 3 practice tests were 20, 90 and 130, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Choices:
80
90
140
170
Answer: C
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 48 kms in 3 hrs. In what time would it cover the same distance upstream?
Choices:
6 hours
4 hours
5 hours
6 hours
Answer: D
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
9680
7799
1777
2991
Answer: A
Question: A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.
Choices:
816
192
100
144
Answer: A
Question: How many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number?
Choices:
7
11
12
15
Answer: A
Question: if m<0 and x is m percent of y, then, in terms of m, y is what percent of x?
Choices:
a)10^4m
c)1/m
d)10/m
e)10,000/m
Answer: A
Question: A cyclist rides a bicycle over a route which is 1/3 uphill, 1/3 level, and 1/3 downhill. If the cyclist covers the uphill part of the route at the rate of 14 km per hour and the level part at the rate of 21 km per hour, what rate in km per hour would the cyclist have to travel the downhill part of the route in order to average 21 km per hour for the entire route?
Choices:
35
42
49
56
Answer: B
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
5
9
7
2
Answer: C
Question: Fine the volume of cuboid 15 m length, 9 m breadth and 2 m height.
Choices:
1440
1140
1220
1330
Answer: A
Question: If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 4, and 5, what is the greatest number of four-digit extensions that the company can have?
Choices:
6
12
16
24
Answer: B
Question: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
Choices:
30000 B = 40000 C = 48000
33000 B = 40000 C = 48600
30000 B = 40000 C = 48000
30000 B = 43000 C = 48060
Answer: A
Question: If (n+2)!/n!=156, n=?
Choices:
9
10
11
12
Answer: C
Question: What is the length of a bridge (in meters), which a train 156 meters long and travelling at 45 km/h can cross in 30 seconds?
Choices:
211
219
227
235
Answer: B
Question: There are 18 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Choices:
9
8
7
6
Answer: D
Question: In how many ways can six different rings be worn on four fingers of one hand?
Choices:
12
15
16
18
Answer: B
Question: How long does a train 110 metres long running at the speed of 72 km / hr take to cross a bridge 132 metres in length?
Choices:
12.1 sec
12.42 sec
14.3 sec
None
Answer: A
Question: Each student is given a four-character identification code. The first character is a number from 0 to 9 inclusive, and the last three characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?
Choices:
175,760
152,340
143,590
132,670
Answer: A
Question: If a and b are prime numbers and one the value of them is 2, which of the following CANNOT be the value of ab?
Choices:
14
21
24
25
Answer: A
Question: Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Choices:
333
555
988
777
Answer: D
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?
Choices:
200
440
668
762
Answer: D
Question: If m and n are positive integers, and m=2n and k=m, then -
Choices:
m/2 is a factor of k.
3m is a factor of k/2.
k is a factor of m.
k is a factor of m/2.
Answer: A
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 35% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
2n/5
5n/6
8n/5
Answer: B
Question: A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 15 minutes. Then the speed of the current is :
Choices:
0.5 kmph
3 kmph
2.5 kmph
3.5 kmph
Answer: A
Question: The cost of.275 kgs. of sugar is Rs.26. What is the cost of 6 kgs. of sugar?
Choices:
Rs.67
Rs.572
Rs.567.275
Rs.75
Answer: C
Question: Ms. Samantha sold two properties, X and Y, for $45,500 each. She sold property X for 30 % more than she paid for it and sold property Y for 30% 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:
$9000
$9600
$9700
$9800
Answer: A
Question: A motorcyclist made 3 roundtrips to the park until he ran out of gas back at home. Te park is 1500 meters away from his home. His speedometer was broke and he wanted to calculate his speed. It took him two and half hours to complete the journey. How fast was the motorcyclist traveling?
Choices:
60
36
45
32
Answer: B
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability W that the worker is under 25 years old?
Choices:
0.25
0.45
0.70
0.90
Answer: C
Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 60,000 after completion of one year. What will be Madhu's share of profit?
Choices:
Rs. 24,000
Rs. 30,000
Rs. 36,000
None of these
Answer: B
Question: A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
Choices:
10%
15%
20%
22%
Answer: A
Question: The average of 5 numbers is 6.8. If one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 12.8. What number is multiplied by 3?
Choices:
15.0
13.9
10.0
6.0
Answer: A
Question: Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 60 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?
Choices:
54
60
75
80
Answer: A
Question: In how many ways, a committee of 5 members can be selected from 8 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
152
175
560
612
Answer: C
Question: The dimensions of a rectangular solid are 4 inches, 5 inches, and 9 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
Choices:
5:9
5:16
25:7
32:25
Answer: A
Question: Two trains are moving in the same direction at 108 kmph and 36 kmph. The faster train crosses the slower train in 17 seconds. Find the length of the faster train in meters.
Choices:
340 m
310 m
350 m
327 m
Answer: A
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Choices:
9
11
10.4
20
Answer: C
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.0 km long?
Choices:
2 mins 34 sec
150 sec
164 sec
2 mins 44 sec
Answer: B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 15kmph. What time will they take to be 50km apart?
Choices:
2hrs
3hrs
5hrs
6hrs
Answer: A
Question: If 2/z = 2/(z + 1) + 2/(z + 36) which of these integers could be the value of z?
Choices:
1
2
3
6
Answer: D
Question: Square ABCD is the base of the cube while square EFGH is the cube's top face such that point E is above point A, point F is above point B etc. What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2?
Choices:
1
sqrt2
sqrt3
2sqrt3
Answer: C
Question: A boy has nine trousers and 14 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
98
126
108
111
Answer: B
Question: If f is a function defined for all k by f(k) = k^(2/3)/16, what is f(64 k) in terms of f(k)?
Choices:
5/8 f(k)
2 f(k)
16 f(k)
32 f(k)
Answer: C
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each. The radius of the sphere is
Choices:
5 cm
6 cm
8 cm
None
Answer: A
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
4 ½ sec
9 ½ sec
8 ½ sec
2 ½ sec
Answer: C
Question: How much time will a train of length 300 m moving at a speed of 72 kmph take to cross another train of length 500 m, moving at 36 kmph in the same direction?
Choices:
80
88
76
12
Answer: A
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
20% profit
10% profit
25% loss
None of these
Answer: D
Question: In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?
Choices:
989
990
991
1,001
Answer: C
Question: If 2x-y=4 then 6x-3y=?
Choices:
12
18
10
14
Answer: A
Question: An assembly line produces 20 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
Choices:
30
35
40
45
Answer: A
Question: A dual sink has a right side and left side. Working alone, the right side can fill up in 5 hours. Working alone, the left side can empty in 15 hours. If it is desired that the sink should be filled, from empty, exactly 6 hours after the right side is turned on at 9:30am, then at what time should the left side also be turned on?
Choices:
10:45am
12:00pm
12:30pm
1:30pm
Answer: C
Question: Some persons can do a piece of work in 8 days. Two times the number of these people will do half of that work in?
Choices:
2
5
6
8
Answer: A
Question: A number when divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
Choices:
214
954
1908
1910
Answer: A
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
28
20
24
12
Answer: B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
25
30
40
50
Answer: C
Question: At what rate p.a a sum of Rs. 2400 will become Rs. 3600/- in 5 years.
Choices:
10%
20%
12%
22%
Answer: A
Question: Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.
Choices:
4 /12
4 /15
4 /11
4 /03
Answer: A
Question: A and B can finish a work together in 12 days, and B and C together in 16 days. If A alone works for 5 days and then B alone continues for 7 days, then remaining work is done by C in 13 days. In how many days can C alone finish the complete work?
Choices:
24
5
4
3
Answer: A
Question: A, B and C completed a piece of work, A worked for 16 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Choices:
Rs.120
Rs.71.15
Rs.51.15
Rs.180
Answer: B
Question: A 340-liter solution of Kola is made from 64% water, 9% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 8 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Choices:
7.5%.
9.2%.
10.5%.
26.5%.
Answer: D
Question: In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (5,5) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choices:
(0,4)
(2,-6)
(2,6)
(4,0)
Answer: C
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
27
90
26
29
Answer: B
Question: Which of the following CANNOT be the median R of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
Choices:
(w+x)/2 - 1
(x+y)/2
(y+z)/2 -1
(w+x+y+z)/4
Answer: A
Question: A money lender lends Rs.1800 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
1984.5
2834
2827
2781
Answer: A
Question: John has $1,600 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?
Choices:
$400
$600
$800
$1,200
Answer: A
Question: The present ratio of students to teachers at a certain school is 35 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
8
10
12
15
Answer: A
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Choices:
5 days
9 3/8 days
8 days
6 days
Answer: B
Question: Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 6 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
1/2
1/4
2/3
2/5
Answer: A
Question: A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage
Choices:
3 1/2
2 1/2
1 1/2
None of these
Answer: B
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
15 sec
14 sec
13 sec
Answer: A
Question: A train passes a platform in 18 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
120
260
230
220
Answer: A
Question: When m divided by 288, the remainder is 47. Find the remainder when the same m is divided by 24?
Choices:
21
22
23
26
Answer: C
Question: Two good train each 650 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
24.3 sec
62.4 sec
60.1 sec
None
Answer: B
Question: How many ways are there for 5 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choices:
12
240
100
720
Answer: B
Question: There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Choices:
21
42
51
21
Answer: D
Question: In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
Choices:
16.59
16.54
16.5
16.51
Answer: C
Question: 19 times a number gives 342. The number is
Choices:
18
16
None
Cannot be determined
Answer: A
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 5 days. How many more days are required to complete the remaining work if they work together?
Choices:
3 (5/16)
3 (5/11)
3 (5/13)
5/11
Answer: D
Question: If -1<x<0, what is the median N of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
Choices:
x^2
x^2(x+1)/2
N=x(x^2+1)/2
x^2/2x
Answer: C
Question: The average of two numbers is P. If one number is Q, then the other number is
Choices:
2P
P - Q
2P-Q
None of these
Answer: C
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 3. If p is any prime number then f(p)=
Choices:
p-2
(p+1)/2
(p-1)/2
2
Answer: C
Question: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
16/35
16/36
18/33
18/32
Answer: A
Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 140 square feet and its length is 4 feet longer than its width. If the uniform width between the rug and room is 4 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choices:
36
40
46
256
Answer: D
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?
Choices:
11 kmph
12 kmph
15 kmph
18 kmph
Answer: B
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 210 kilometers?
Choices:
7.5 gallons
6.55 gallons
5.25 gallons
4.5 gallons
Answer: C
Question: Carolyn bought 16 gumballs, Lew bought 12 gumballs, and Bob bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
Choices:
22
24
26
18
Answer: D
Question: Exactly 28% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
60%
84%
Answer: C
Question: A certain country had a total annual expenditure of $1.2 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?
Choices:
$ 500
$2,000
$3,000
$5,000
Answer: A
Question: 8796 x 223 + 8796 x 77 = ?
Choices:
2738800
2658560
2716740
None of them
Answer: A
Question: The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
Choices:
40
50
60
90
Answer: A
Question: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
Choices:
1/2
5/8
5/6
15/16
Answer: C
Question: If x and y are integers such that (x+1)^2 is less than or equal to 9 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Choices:
-8
0
14
16
Answer: A
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/5 of an ounce and one to measure exactly 1/6 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
Choices:
III only
1/30 and 11/30
II and III only
I, II, and III
Answer: B
Question: A year ago the proportion between Sham and Amir’s age was 4:3. 1 year hence the proportion of their ages will be 5:4. The total of their current ages is :
Choices:
16 years
18 years
19 years
20 years
Answer: A
Question: The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
40
77
66
12
Answer: A
Question: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 843.095 + ?
Choices:
790
680
770
890
Answer: B
Question: A van takes 5 hours to cover a distance of 435 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?
Choices:
52
54
56
58
Answer: D
Question: What is the CP of Rs 100 stock at 8 discount, with 1/5% brokerage?
Choices:
96.2
97.5
92.2
None of these
Answer: C
Question: A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.
Choices:
20%
25%
28%
30%
Answer: A
Question: A glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.06%
0.6%
6%
60%
Answer: C
Question: An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 12 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
Choices:
94%
280%
300%
380%
Answer: A
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 70 per cent. The two reductions together are equal to a single reduction of
Choices:
40%
35%
77.5%
30%
Answer: C
Question: In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?
Choices:
8 : 5
9 : 4
1 : 1
2:3
Answer: B
Question: In a certain random experiment, exactly one of the outcomes A, B, and D will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and D will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: Bunny's brother Sunny is 562 days older to him while his sister Jenny is 75 weeks older to Sunny. If Jenny was born on Tuesday, on which day was Bunny born?
Choices:
Tuesday
Friday
Saturday
Thursday
Answer: D
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 3 hours a day, complete the work?
Choices:
26
14
15
16
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 2 inches long, how wide is Jordan's rectangle, in inches?
Choices:
63
52
60
68
Answer: C
Question: Find the equation of a line which passes through A(4, -1) and is parallel to x axis.
Choices:
y=3
y=2
y=-1
y=0
Answer: C
Question: A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(12) + 5; g(12) + 6; g(12) + 7; and g(12) + 8?
Choices:
2
3
4
none
Answer: D
Question: The value of P, when 4864 x 9P2 is divisible by 12, is:
Choices:
5
8
9
1
Answer: D