6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The periodic interest rate corresponding to: 9.75% compounded semiannually

A) 4.875	B) 3.785
C) 4.865	D) 4.975

Answer & Explanation Answer: A) 4.875

Explanation:

i=j/m

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Filed Under: Compound Interest
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Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ?

A) 5040	B) 2525
C) 2052	D) 4521

Answer & Explanation Answer: A) 5040

Explanation:

The Word LOGARITHMS contains 10 letters.

To find how many 4 letter words we can form from that = ${}^{10}P_{4}$ =10x9x8x7 = 5040.

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Filed Under: Permutations and Combinations
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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4 3648

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

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

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

If there is a total of 104 weekly instalments and a third deposit, find: the total cost of the computer

A) 3932.55	B) 4932
C) 5932	D) 6932

Answer & Explanation Answer: A) 3932.55

Explanation:

Total cost = deposit + loan + interest
= 1231.67 + 2463.33 + 237.55
= $3932.55

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?

A) 5	B) 4
C) 3	D) 2

Answer & Explanation Answer: C) 3

Explanation:

Let p be the required number of days.

From the given data,

12 x 14 = 12 x 5 + (12+3) x p

12 x 14 = 12[5 + 3p]

14 = 5 + 3p

3p = 9

p = 3 days.

Hence, more 3 days all of them take to complete the remaining work.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.

A) 30 Liter	B) 28 Liter
C) 32 Liter	D) 36 Liter

Answer & Explanation Answer: C) 32 Liter

Explanation:

Let initially milk and water in container B is 3x liter and x liter respectively

Now, 3x + (8/9) × 18 – x – (1/9) × 18 = 30

3x + 16 – x – 2 = 30

x = 8

Initial quantity is container B = 8 (3 + 1) = 32 Liter.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46	B) 44
C) 42	D) 40

Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Filed Under: Percentage
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Q:

In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter?

A) 30%	B) 40%
C) 44%	D) 48%

Answer & Explanation Answer: C) 44%

Explanation:

Let initial rent be rs 10

And initial rooms be 10

So initial collection = 10*10 = Rs 100

Now new rent = 10 + 20% of 10 = 12

New no of rooms = 10 + 20% of 10 = 12

So new collection = 12*12 = 144

% change in collection = (144-100)/100*100 = 44%

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Filed Under: Percentage
Exam Prep: Bank Exams

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