antoine-444/aqua_rat_dataset huggingface dataset:
Question: How many integers between 334,700 and 458,600 have tens digit 1 and units digit 3?
Choices:
10,030
1,353
1,352
1,239
Answer: D
Question: Homer wants to read 2 books from his collection. He has 6 adventure books and 4 horror books. He chooses 2 books randomly and simultaneously. What is the probability that he chose 1 adventure book and 1 horror book?
Choices:
24/45
7/8
12/105
10/24
Answer: A
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
97 Kmph
72 Kmph
28 Kmph
108 Kmph
Answer: D
Question: 90% of the labours of a factory is 2700. The total labours of the factory is?
Choices:
3000
3100
3050
2950
Answer: A
Question: The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Choices:
X/Y
Y/X
1/(X+Y)
1/(X-Y)
Answer: A
Question: At a meeting of 10 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
Choices:
271,180
282,240
291,470
308,560
Answer: B
Question: In what time will a train 40 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
1.0 sec
7.5 sec
2.3 sec
1.5 sec
Answer: A
Question: John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
Choices:
66%
62%
64%
60%
Answer: A
Question: In the first quarter of 2008, Harry's Hardware Store sold 300 hammers and 12,000 nails. In the second quarter of 2008, the store sold 375 hammers and 18,000 nails. By approximately what percent did the ratio of hammers sold to nails sold decrease from the first quarter to the second quarter.
Choices:
2.1%
2.5%
17%
25%
Answer: C
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
14 Kmph
15 Kmph
11 Kmph
10 Kmph
Answer: B
Question: A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,630. By how much was the project over its budget?
Choices:
$540
$1,050
$1,380
$1,430
Answer: D
Question: P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work?
Choices:
16 days
40 days
15 days
19 days
Answer: B
Question: The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
80 kg
105 kg
90 kg
None
Answer: B
Question: How many even integers n, such that 20<=n<=220 are of the form 3k+4, where k is any natural number?
Choices:
31
34
37
40
Answer: B
Question: John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choices:
7
5
4
3
Answer: A
Question: If a copier makes 5 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies?
Choices:
200
150
125
130
Answer: A
Question: Souju's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age?
Choices:
50 years
56 years
60 years
76 years
Answer: A
Question: e.	Janet has to pay back her bank loan over 11 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, $140, ?
How much will she pay back on the eleventh month?
Choices:
$145
$135
$125
$130
Answer: A
Question: If a survey shows that 30 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%
85%
86%
Answer: C
Question: A football team lost 5 yards and then gained 13. What is the team's progress?
Choices:
4
5
6
8
Answer: D
Question: The average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg. What might be the weight of the new girl?
Choices:
100 kg
95 kg
85 kg
92 kg
Answer: A
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 3 more than the average expenditure of all the nine. The total money spent by all of them was
Choices:
40
29.25
30.375
None of the above
Answer: C
Question: In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
8
9
10
11
Answer: C
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
65
26
24
71
Answer: C
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1261
2889
277
2991
Answer: A
Question: If y>x>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. |x|<y
Choices:
II only
III only
II and III
I, II and III
Answer: B
Question: A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
Choices:
1 in 4
1 in 8
1 in 32
1 in 3
Answer: A
Question: A person borrows 1000000 for 7 years at 3% p.a. simple interest. He immediately lends it to another person at 5 % p.a. for 7 years. Find his gain in the transaction per year.
Choices:
20050
20000
25000
28000
Answer: B
Question: 61 + 5 * 12 / (180/3) = ?
Choices:
77
29
62
21
Answer: C
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Choices:
126
120
144
250
Answer: A
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?
Choices:
40%
48%
52%
56%
Answer: A
Question: Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Choices:
700 kms
600 kms
210 kms
120 kms
Answer: A
Question: A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
3.5
4.5
6.5
Answer: A
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 36 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
Choices:
18 days
21 days
24 days
27 days
Answer: A
Question: The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
20
77
26
12
Answer: A
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
19 : 4
19 : 1
19 : 5
19 : 3
Answer: C
Question: Kelly and Jody packed boxes with books. If Jody packed 30% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Choices:
1 to 4
3 to 7
3 to 5
2 to 3
Answer: B
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how much?
Choices:
155°
145°
165°
195°
Answer: A
Question: A plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
Choices:
2767 sq.m
2789 sq.m
7200 sq.m
2651 sq.m
Answer: C
Question: The cost of 5 kgs. of sugar is Rs.279. What is the cost of 1 kg of sugar?
Choices:
Rs.55.80
Rs.65.80
Rs.65
Rs.75
Answer: A
Question: By how much is three-fifth of 350 greater than four- seventh of 210 ?
Choices:
110
120
None of these
Cannot be determined
Answer: C
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs.10123.21
Rs.10123.20
Rs.10123.28
Rs.10123.21
Answer: B
Question: Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 80 watch exactly two channels. How many watch exactly one channel?
Choices:
160
175
190
195
Answer: A
Question: A bag contains 4 yellow, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Choices:
1/5
3/11
4/17
2/3
Answer: A
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh'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 50000
Rs 70000
Rs 75000
None
Answer: B
Question: How many integers from 0 to 56, inclusive, have a remainder of 1 when divided by 3 ?
Choices:
16
17
18
19
Answer: D
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.59
3587.5
3587.52
3587.56
Answer: B
Question: N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there?
Choices:
400
450
Cannot be determined
None of these
Answer: D
Question: If the sales tax be reduced from 4 (1/3) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 8000?
Choices:
146.66
146.62
146.61
146.6
Answer: A
Question: In how many ways can you seat 8 people on a bench if one of them does not want to sit in one of the two middle seats or at either end?
Choices:
18,360
19,320
20,160
21,480
Answer: C
Question: Express 25 mps in kmph?
Choices:
87
90
77
22
Answer: B
Question: How many odd factors does 250 have?
Choices:
4
5
6
8
Answer: A
Question: A mirror 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?
Choices:
96
28
44
18
Answer: A
Question: If the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is?
Choices:
777 m
200 m
250 m
128 m
Answer: C
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds Q that it is an ace?
Choices:
1/26
1/13
1/4
5/13
Answer: B
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 10 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
Choices:
996
1110
896
1400
Answer: B
Question: In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
Choices:
8
7
6
2
Answer: A
Question: Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose?
Choices:
2.1%
2.25%
2.65%
3%
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3 : 2
3 : 6
3 : 7
3 : 9
Answer: A
Question: A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Choices:
7
9
10
15
Answer: C
Question: How many cuboids of length 5 m, width 4 m and height 3 m can be farmed from a cuboid of 16 m length, 10 m width and 12 m height.
Choices:
32
36
40
50
Answer: A
Question: A school has received 50% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$177.78
$320
$277
$200
Answer: B
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. 5b < bc
III. a + b + c > a^3
Choices:
II only
III only
II and III
I, II, and III
Answer: B
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 7000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choices:
11,600
17,000
14,000
16,400
Answer: B
Question: 72 hens cost Rs. __ 96.7__. Then what does each hen cost, where two digits in place of ‘__’ are not visible or are written in illegible hand?
Choices:
Rs. 5.11
Rs. 5.51
Rs. 7.22
None
Answer: B
Question: what is the nearest no. to 2304 which is divisible by 21?
Choices:
2310
2333
2456
2309
Answer: A
Question: A manufacturer of a certain type of screw rejects any screw whose length is less than 2.47 centimeters or greater than 2.53 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
Choices:
|k — 0.03| <= 2.5
|k — 2.5| > 0.03
|k — 2.5| >= 0.06
|k — 2.5| <= 0.03
Answer: D
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Choices:
77
40
26
18
Answer: B
Question: The least perfect square, which is divisible by each of 21, 36 and 66 is
Choices:
213424
213434
213444
None of these
Answer: C
Question: What is the perimeter of a triangle with sides 7 and 4 that has the maximum possible area?
Choices:
11 + √6
11 + 4√7
11 + √65
11 + 3√17
Answer: C
Question: A certain collage has total of 700 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
80
75
155
50
Answer: C
Question: If 20% of a = b, then b% of 20 is the same as:
Choices:
4% of a
6% of a
3% of a
2% of a
Answer: A
Question: If (1+y)x=xwhich of the following must be true?
Choices:
x=0 or y=-1
x=1 or y=1
x=-1 or y=-1
y=0 or x=0
Answer: D
Question: If −2≤e≤0 and n > 19, which of the following CANNOT be the value of en?
Choices:
-38
-20
0
19
Answer: D
Question: A 8% stock yielding 10% is quoted at :
Choices:
80
112
120
160
Answer: A
Question: A women paid $1650 a year in interest on a loan with an annual rate of 11%. How w\much more money could she have borrowed for the same amount of interest if she had been able to get a loan amount with an annual rate of 10%?
Choices:
$1500
$1815
$ 15000
$16500
Answer: A
Question: Train A left station T at 3:30 p.m. and traveled on straight tracks at a constant speed of 60 miles per hour. Train B left station T on adjacent straight tracks in the same direction that train A traveled on. Train B left station T 40 minutes after train A, and traveled at a constant speed of 75 miles per hour. Train B overtook train A on these straight tracks. At what time did train B overtake train A?
Choices:
5:40
6:10
6:50
7:30
Answer: C
Question: An error 2% in excess is made while measuring the side of asquare. The % of error in the calculated area of the square is?
Choices:
4.04%
4.26%
4.56%
4.67%
Answer: A
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 38 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Choices:
5:16
3:5
4:7
14:5
Answer: A
Question: What is the unit digit in (4137)754?
Choices:
3
7
9
6
Answer: C
Question: If x and y are integers and x + y = 6, which of the following must be true?
Choices:
If x < 0, then y > 0.
If x > 0, then y < 0.
Both x and y are even.
Both x and y are less than 5.
Answer: A
Question: The greatest possible length which can be used to measure exactly the length 6m, 3m 85cm, 12 m 95 cm is
Choices:
7
5
8
9
Answer: B
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
Choices:
1 ½ days
3 ½ days
4 ½ days
5 ½ days
Answer: A
Question: The probability of having a girl is identical to the probability of having a boy. In a family with four children, what is the probability that all the children are of the same gender?
Choices:
1/8.
1/4
1/6
1/2
Answer: A
Question: The sum of two consecutive number is 67. Which is the larger number?
Choices:
34
44
45
46
Answer: A
Question: A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?
Choices:
270 m
340 m
130 m
140 m
Answer: A
Question: Simplify (3^y + 3^y + 3^y) (3^y + 3^y + 3^y)
Choices:
9^y+1
16^y + 9^y
12^y
4^y * 12^y
Answer: A
Question: A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out.
Choices:
42m3
44m3
46m3
None of these
Answer: B
Question: D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE.
Choices:
13
14
11
15
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/68
20/28
20/27
Answer: A
Question: Which of the following inequalities is always true for any non-negative real number 'x' and 'y'?
Choices:
√(x+y) <= √x + √y
√(x+y) = √x + √y
√(x-y) >= √x - √y
√(x+y) >= √x + √y
Answer: A
Question: The number 83 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
16
15
14
13
Answer: B
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Choices:
29
11
15
12
Answer: C
Question: Suppose you flip a fair coin 8 times. What is the probability that, in 8 flips, you get at least one head?
Choices:
255/256
155/256
5/256
201/256
Answer: A
Question: If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream
Choices:
1kmph
1.5 kmph
12 kmph
15 kmph
Answer: A
Question: The breath of a rectangular landscape is 6 times its length. There is a playground in it whose area is 4200 square mtr & which is 1/7 th of the total landscape. What is the breath of the landscape?
Choices:
420
320
550
450
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 12 years at the same rate?
Choices:
3P
4P
5P
7P
Answer: A
Question: A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
Choices:
8
60
42
32
Answer: B
Question: What is the greatest positive integer n such that 3^n is a factor of 36^300?
Choices:
200
300
600
900
Answer: C
Question: If x and y are different prime numbers, each greater than 6, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer
Choices:
II,III only
I,II and III
III only
I only
Answer: B
Question: A sum of Rs. 2795 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
1720
2795
6386
Answer: B
Question: A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
2,000,000
2,030,000
2,040,000
2,300,000
Answer: B
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.4 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
Choices:
Six
Nine
Ten
Twelve
Answer: D
Question: If x/y = 5/z, then 25z^2 =
Choices:
25y²/ x²
625x²y²
y²/ x²
625y²/ x²
Answer: D
Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
Choices:
9125
9565
9997
None of these
Answer: D
Question: If 50! × 50!/50^n is an integer, what is the largest possible value of n?
Choices:
24
8
4
2
Answer: A
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choices:
82.9 m2
52.8 m2
17.9 m2
72.9 m2
Answer: B
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3:7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs. 16.90
Rs. 13.50
Rs. 16.50
Rs. 16.40
Answer: C
Question: A car averages 75 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. The average speed for the entire trip was 70 mph. How many hours long is the trip?
Choices:
6
8
9
10
Answer: A
Question: Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Choices:
8
6
5
4
Answer: A
Question: In covering a distance of 42 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
6 kmph
6.25 kmph
7 kmph
7.8 kmph
Answer: C
Question: On a map, 1 inch represents 28 miles. How many C inches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: Each side of a certain parallelogram has length 8. If the area of the parallelogram is 16. Which of the following is the measure of one of its angles?
Choices:
14.5
60
90
120
Answer: A
Question: Half a number plus 5 is 11.What is the number?
Choices:
11
12
13
14
Answer: B
Question: How many seconds will a 900 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
288
500
400
121
Answer: C
Question: If 15 students in a class average 70% on an exam and 10 students average 95% on the same exam, what is the average in percent for all 25 students?
Choices:
78%
79%
80%
81%
Answer: C
Question: The ages of 2 persons differ by 32 years. If 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
Choices:
48.5
50.4
62.6
47.9
Answer: B
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
12805
12801
12802
Answer: A
Question: A woman is 20 years older than her son. In 5 years, her age will be twice the age of her son. The present age of her son is
Choices:
15
13
12
11
Answer: A
Question: A rectangular with dimensions 40 inches by 65 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Choices:
b) 6 inches
c) 7 inches
d) 5 inches
e) 10 inches
Answer: C
Question: If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 30 percent decrease in y would result in which of the following changes in z?
Choices:
decrease of 26.5%
increase of 16.5%
increase of 24.5%
increase of 32.5%
Answer: A
Question: The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:3 is?
Choices:
3:2
5:8
8:9
8:3
Answer: D
Question: You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time?
Choices:
50 %
70 %
80 %
90 %
Answer: A
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
77 sec
48 sec
28 sec
12 sec
Answer: B
Question: The diagonals of a rhombus are 15 cm and 17 cm. Find its area?
Choices:
127.5
150
288
212
Answer: A
Question: Two pipes P and Q can fill a tank in 10 hours and 14 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
5 hours 49 min
3 hours 50 min
3 hours 22 min
3 hours 42 min
Answer: A
Question: If you add all the numbers on your mobile phone except 8 and 2, what is the answer?
Choices:
25
85
45
35
Answer: D
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If A is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Choices:
4<y<10
10<y<20
20<y<30
y>30
Answer: D
Question: D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 700. Set D and Set E have how many numbers in common?
Choices:
None of these
3
5
12
Answer: A
Question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
20
45
60
120
Answer: B
Question: There are 27 different three-digit integers that can be formed using only the digits 4, 5 and 6. If all 27 of the integers were listed, what would their sum be?
Choices:
14,885
14,985
15,085
15,185
Answer: B
Question: A does half as much work as B in three-fourth of the time. If together they take 18 days to complete
the work, how much Ɵme shall B take to do it
Choices:
35 days
30 days
25 days
None of these
Answer: B
Question: If d is the standard deviation a, b, and c, what is the standard deviation of a +6, b + 6, c + 6 ?
Choices:
d
6d+6
6d+12
6d+18
Answer: A
Question: The distance between 2 cities A and B is 100km. A train starts from A at 8 a.m. and travels towards B at 50 km/hr. Another starts from B at 9 a.m. and travels towards A at 60 km/hr. At what time do they meet?
Choices:
9.45a.m.
10.25a.m.
11.10am.
11.30a.m.
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 120 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
Choices:
100
150
200
240
Answer: D
Question: In how many ways the letters in the word MANAGEMENT can be arranged such that A’s does not come together.
Choices:
181440
171440
182440
185440
Answer: A
Question: The average of five numbers id 27. If one number is excluded, the average becomes 24. What is the excluded number?
Choices:
40
32.5
35
39
Answer: D
Question: Raviraj invested an amount of 100000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices:
13,2102
13,320
13,120
133100
Answer: D
Question: The remainder of the division of a number by 66 is 27. What will be the remainder when that number is divided by 7?
Please explain
Choices:
2
6
7
8
Answer: A
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
135
185
190
216
Answer: B
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 9000
Rs. 9800
Rs. 9900
Rs. 10000
Answer: D
Question: Mohan purchased 15 kgs of rice at the rate of Rs.25 per kg and 8 kgs of pulses at the rate of Rs.25 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
B)Rs.575
C)Rs.596
D)Rs.595
None of these
Answer: A
Question: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
Choices:
Rs. 28,000
Rs. 14,000
Rs. 8,000
NONE OF THESE
Answer: A
Question: 2,7,14,32,58,?
Choices:
154
123
132
144
Answer: C
Question: If 30 honey bees make 30 grams of honey in 30 days, then 1 honey bee will make 1 gram of honey in how many days?
Choices:
3.5
30
49
30
Answer: B
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability Q that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: In a group of 65 people,40 like cricket,10 like both cricket and tennis. How many like tennis?
Choices:
35
40
45
50
Answer: A
Question: 16 men and 12 children can complete work in 26 days 13 men can complete the same work in 48 days in how many days’ will12 men and 6 children complete half of the work?
Choices:
15
13
14
None of these
Answer: C
Question: A man can row with a speed of 19 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
Choices:
26
20
27
24
Answer: C
Question: A 60 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
B)20
C)83
D)17.1
E)52
Answer: C
Question: The number of arrangements that can be made with the letters of the word MEAD so that the vowels occupy the even places?
Choices:
5
4
10
21
Answer: B
Question: The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:
Choices:
14%
15%
16%
26%
Answer: A
Question: What is the SI on Rs.8000 from August 6th to Dec 30th at 5% per annum rate of interest?
Choices:
Rs 120
Rs 140
Rs 160
Rs 200
Answer: C
Question: Replace the ? by the correct Mathematics symbol to make the expression true
10 ? 10 ? 4 ? 7 = 18
Choices:
10 x 10 ÷ 4 - 7 = 18
10 + 10 ÷ 4 + 7 = 18
10 x 10 + 4 - 7 = 18
10 x 10 ÷ 4 + 7 = 18
Answer: A
Question: Tanks M and B are each in the shape of a right circular cylinder. The interior of tank M has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank M is what percent of the capacity of tank B?
Choices:
80%
100%
120%
125%
Answer: A
Question: Lloyd normally works 7.5 hours per day and earns $3.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
Choices:
$42.00
$51.75
$54.00
$70.00
Answer: A
Question: To create paint with a certain shade of gray, one must combine 1.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Choices:
233.3
347.1
694.4
705.6
Answer: A
Question: Find the simple interest on Rs.300 for 9 months at 6 paisa per month?
Choices:
152
162
172
182
Answer: B
Question: In one can of mixed nuts, 25% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
30%
25%
33 1/3%
35%
Answer: A
Question: The median annual household income in a certain community of 21 households is $50,000. If the mean R income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?
Choices:
$60,000
$60,500
$65,000
Cannot be determined
Answer: D
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2.
Choices:
15840
15828
27892
22892
Answer: A
Question: In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.04 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Choices:
1-0.96^10
(1-0.96)^10
0.06
1-10*0.06
Answer: A
Question: A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
5
6
9
8
Answer: B
Question: Number of prime numbers between 40 and 70 is
Choices:
5
6
7
9
Answer: C
Question: The average (arithmetic mean) monthly income of four workers is $5,000. After one worker’s income increases by 25 percent the new average income is $5,200. What was the original income of the worker whose monthly income increased?
Choices:
$3,600
$3,800
$4,200
$3,200
Answer: D
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
77
22
64
28
Answer: C
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 28%, then the value of X is ?
Choices:
13.8
16
15
14
Answer: A
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 70 miles per hour. In terms of x, what was Francineâ€™s average speed for the entire trip?
Choices:
(x+60)/4
21,000/(300+4x)
600/(115-x)
12,000/(x+200)
Answer: B
Question: A pipe can fill a cistern in 66 minutes. Find the time in which 1/11 part of the cistern will be filled?
Choices:
2min
6min
1min
10min
Answer: B
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Choices:
2782
2788
4266
2321
Answer: C
Question: A woman saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction
Choices:
12%
5%
15%
9%
Answer: D
Question: Two pipes can fill a tank in 10 minutes and 25 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
17 minutes
7 minutes
10 minutes
12 minutes
Answer: B
Question: Working together, 7 identical pumps can empty a pool in 5 hours. How many hours will it take 4 pumps to empty the same pool?
Choices:
9 1/4
9 1/3
8 3/4
10 1/2
Answer: C
Question: In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund?
Choices:
$5 million
$6 million
$7 million
$8 million
Answer: A
Question: Workers at a campaign office have 2500 fliers to send out. If they send out 1/5 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
Choices:
800
1500
1200
1900
Answer: B
Question: If j < y < -1, which of the following is true?
Choices:
y/j > j+y
y/j > jy
y/j < j+y
y/j > j/y
Answer: A
Question: 12, 34, 10, 11, 12, 5, 6 ,7, 13, 14, ?, ?
Logically, what two numbers should replace the question marks?
Choices:
15 and 11
19 and 11
18 and 11
17 and 11
Answer: A
Question: If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 91 percent in some time period, which of the following could be the final mass of that element?
Choices:
36 grams
29 grams
31 grams
32 grams
Answer: A
Question: An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
Choices:
Rs. 70
Rs. 72
Rs. 88
Rs. 98
Answer: B
Question: It would take one machine 6 hours to complete a large production order and another machine 5 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Choices:
B 11/20
C 30/11
D 9/10
E 4/10
Answer: B
Question: The number of new words that can be formed by rearranging the letters of the word 'TOO' is?
Choices:
5
11
4
2
Answer: A
Question: How many multiples of 2 are there between 10 and 52, 10 and 52 inclusive?
Choices:
25
24
21
22
Answer: D
Question: Find the missing number in the given sequence : 2,4,6,8,10,?,14,?
Choices:
12 & 16
13 & 15
12 & 18
11 & 17
Answer: A
Question: The sum of how many terms of the series 6 + 12 + 18 + 24 + … is 1800
Choices:
22
24
18
26
Answer: A
Question: A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
97 Kmph
72 Kmph
144 Kmph
120 Kmph
Answer: C
Question: A train 110 m long is running with a speed of 65 km/hr. In what time will it pass a man who is running at 7 km/hr in the direction opposite to that in which the train is going?
Choices:
6
4
8.2
5.5
Answer: D
Question: The price of a Bicycle was increased by 50 percent. The new price was then increased by 30 percent. A single increase of what percent is equivalent to these two successive increases?
Choices:
75%
95%
85%
70%
Answer: B
Question: How long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length?
Choices:
12.1 sec
12.42 sec
14.3 sec
24.3 sec
Answer: A
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 420 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Choices:
620
500
520
840
Answer: D
Question: A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
20 years
24 years
26 years
Answer: B
Question: If U = V/W, -1 < W < 0 and 4 < V, which of the following is correct?
Choices:
0 < U <4.
-4 < U < 0.
U < -4.
U < -20.
Answer: C
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
32 kmph
34 kmph
35 kmph
36 kmph
Answer: A
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 4 children take to complete the work?
Choices:
5
7
8
10
Answer: D
Question: Ayesha's father was30 years of age when she was born while her mother was 26 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
8 years
9 years
Answer: C
Question: Set T includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Choices:
1
2
3
4
Answer: C
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √3 ¤ √3 =
Choices:
5
12
15
20
Answer: B
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $800. If each member of the club paid at least $53, then what is the greatest possible number of members in the club?
Choices:
15
17
18
19
Answer: A
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Choices:
10 cm
18 cm
24 cm
26 cm
Answer: A
Question: What number is 60 more than two-fourth of itself?
Choices:
180
288
324
336
Answer: A
Question: The triplicate ratio of 1:6 is?
Choices:
1:8
1:3
1:1
1:216
Answer: D
Question: One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 50,000
Rs. 60,000
Rs. 90,000
None
Answer: B
Question: In Orange County one fourth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
56.
85.
145.
252.
Answer: A
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
66
55
31
Answer: A
Question: A man sitting in a train which is travelling at 15 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choices:
62 kmph.
97 kmph.
80 kmph.
None
Answer: B
Question: If (2)^n=(1/2)^2, what is the value of n?
Choices:
-2
0
1
2
Answer: A
Question: If a is an odd integer and b is an even integer, which of the following CANNOT be true?
Choices:
a is a factor of b.
b is a factor of a.
a^b is an odd integer.
b^a is an even integer.
Answer: B
Question: Integer X represents the product of all integers between 1 to 26 (inclusive). The smallest prime factor of (x+1) must be
Choices:
Between 11 to 15
Between 15 to 20
Between 20 to 26
Greater than 26
Answer: D
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
33 1/3 %
30%
19%
18%
Answer: A
Question: A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is:
Choices:
48 km/hr
40 km/hr
35 km/hr
None of these
Answer: A
Question: If the time is currently 1:30 pm, what time will it be in exactly 645 hours?
Choices:
10:30 am
11:30 am
12:30 pm
1:30 pm
Answer: A
Question: Which of the following is satisfied with |x-4|+|x-3|<6?
Choices:
2<x<5
0.5<x<6.5
0.5<x<4
3<x<4
Answer: B
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Choices:
6000
8000
10000
None of these
Answer: B
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum?
Choices:
Rs.17028
Rs.17000
Rs.17008
Rs.17067
Answer: B
Question: How many different ways can you select a pilot and a co pilot if you have 40 people to choose from?
Choices:
200
398
4950
1560
Answer: D
Question: In a garden, there are 10 rows and 16 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Choices:
32 m
24 m
26 m
28 m
Answer: A
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different Y arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
360
120
24
21
Answer: A
Question: P and Q started a business investing Rs. 85,000 and Rs. 25,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:0
17:4
17:2
17:5
Answer: D
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, and Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choices:
93%
100%
107%
120%
Answer: A
Question: A cube of edge 15 cm is imersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in waer level.
Choices:
11.25 cm.
13.25 cm
14.25 cm
None of these
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 63 km/hr. What is the length of the platform?
Choices:
288
277
226
280
Answer: D
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 9 o'clock in the morning?
Choices:
60°
30°
90°
150°
Answer: B
Question: A train moves past a post and a platform 264 metre long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Choices:
79.2 km/hr
74 km/hr
61 km/hr
55 km/hr
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270 m
290 m
270 m
220 m
Answer: A
Question: In a certain match all the teams were to play with each other. If there are 10 teams, how many matches will have to be played?
Choices:
45
60
90
None of the above
Answer: A
Question: 5220/? * 15 = 2175
Choices:
36
33
42
24
Answer: A
Question: If x - 3 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
Choices:
-3 and 4
2 and 7
3 and 4
5 and 10
Answer: D
Question: Two numbers N and 16 have LCM = 48 and GCF = 4. Find N.
Choices:
56
76
87
12
Answer: D
Question: A man can row with a speed of 30 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
Choices:
40
20
99
2
Answer: A
Question: A trader purchases several articles at the rate of 13 for Rs. 10 and sells them at the rate of 10 for Rs. 13. What is his gain/loss?
Choices:
69 %
66 %
63 %
29 %
Answer: A
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 30 kg of fresh grapes?
Choices:
3.75 kg
2.5 kg
10 kg
none of these
Answer: A
Question: Mangoes sell for $3.25 for a piece that costs a total of $2.85 to source. Oranges sell $2.80 for a piece that costs $2.65 to get. If you sell 55,000 mangoes in a month, how many oranges you must sell to make at least as much in total gross profit as for mangoes ?
Choices:
8,301
14,667
63,840
146,667
Answer: D
Question: A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
Choices:
5.95
7.95
3.25
4.95
Answer: D
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 640 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor?
Choices:
19.6m.
19.3m.
18.5m.
18.9m.
Answer: A
Question: If y exceeds x by 15%, then x is less than y by?
Choices:
1/17%
1/21%
1/22%
1/23%
Answer: D