6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15%	B) 15%
C) 0.125%	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

Cultivated land of village = 384000x

Required percentage = $\frac{800 x}{384000} x 100 = 0.20833$

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Filed Under: Percentage
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16 13658

Q:

A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that |X|<2

A) 3/7	B) 3/4
C) 4/5	D) 5/7

Answer & Explanation Answer: A) 3/7

Explanation:

X can take 7 values.
To get |X|+2) take X={−1,0,1}

=> P(|X|<2) = Favourable CasesTotal Cases = 3/7

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Filed Under: Probability

31 13658

Q:

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

A) x = y + z	B) 2x = y + z
C) 3x = 2y - 2z	D) none of these

Answer & Explanation Answer: B) 2x = y + z

Explanation:

Clearly, we have : x = (3y + 3z ) / 6 or 2x = y + z.

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Filed Under: Average

13 13652

Q:

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ?

A) 39 days	B) 37 days
C) 35 days	D) 33 days

Answer & Explanation Answer: C) 35 days

Explanation:

Distance d = 1200km
let S be the speed

he walks 15 hours a day(i.e 24 - 9)
so totally he walks for 70 x 15 = 1050hrs.

S = 1200/1050 => 120/105 = 24/21 => 8/7kmph

given 1 1/2 of previous speed
so 3/2 * 8/7= 24/14 = 12/7

New speed = 12/7kmph

Now he rests 10 hrs a day that means he walks 14 hrs a day.

time = 840 x 7 /12 => 490 hrs
=> 490/14 = 35 days

So he will take 35 days to cover 840 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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20 13641

Q:

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A) 48	B) 64
C) 63	D) 45

Answer & Explanation Answer: B) 64

Explanation:

We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).

Required number of ways= $(3 C_{1} * 6 C_{2}) + (3 C_{2} * 6 C_{1}) + 3 C_{3}$ = (45 + 18 + 1) =64

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Filed Under: Permutations and Combinations

5 13625

Q:

Which is the correct ascending order of the given numbers?

A) 2/3, 5/6, 3/4	B) 3/4, 2/3, 5/6
C) 2/3, 3/4, 5/6	D) 5/6, 3/4, 2/3

Answer & Explanation Answer: C) 2/3, 3/4, 5/6

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 13616

Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?

A) 1:2	B) 1:3
C) 3:1	D) 2:1

Answer & Explanation Answer: D) 2:1

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 13614

Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

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