6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A car runs at the speed of 50 kms per hour when not serviced and runs at 60 km./hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?

A) 8.2 hrs	B) 6.5 hrs
C) 8 hrs	D) 7.2 hrs

Answer & Explanation Answer: D) 7.2 hrs

Explanation:

After servicing, the distance covered by car in 6 hours = 60 * 6 = 360 km Without servicing, speed of car = 50 kmph => Required time = Distance/speed = 360/50 = 7.2 hrs.

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Filed Under: Time and Distance

2 4701

Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24	B) 45
C) 72	D) 30

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

16 4700

Q:

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ?

A) J x J = KL	B) K x K= JL
C) L x L = JK	D) JKL = 1

Answer & Explanation Answer: B) K x K= JL

Explanation:

Let the Time be 'N' and Rate be 'R'

J = (K x NR)/100 K = (L x NR)/100

J/K = NR/100 K/L = NR/100

J/K = K/L

K x K = JL

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 4699

Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5	B) 6
C) 7	D) 8

Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

Therefore, the possible arrangements are 5.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 4693

Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months	B) 5months
C) 8months	D) 3months

Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

Time = $\frac{100 \times T D}{P W \times R}$

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

6 4691

Q:

A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :

A) Rs. 15,000	B) Rs. 1,50,000
C) Rs. 1500	D) Rs. 1,62,000

Answer & Explanation Answer: A) Rs. 15,000

Explanation:

Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

3 4688

Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704	B) Rs. 854
C) Rs. 893	D) Rs. 914

Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

$S . I . = \frac{PTR}{100} \Rightarrow P = \frac{S . I x 100}{T x R} And also, C . I = P [{(1 + \frac{R}{100})}^{n} - 1]$

From given data, P = Rs. 8625

Now, C.I = $8625 [{(1 + \frac{4}{100})}^{2} - 1] = 8625 [{(\frac{26}{25})}^{2} - 1] = 8625 [\frac{676}{625} - 1] = 8625 x \frac{51}{625} C . I = Rs . 703.80$

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

11 4686

Q:

Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?

A) 84 yrs	B) 96 yrs
C) 116 yrs	D) 108 yrs

Answer & Explanation Answer: D) 108 yrs

Explanation:

Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 4684

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