6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?

A) 36 kmph	B) 32 kmph
C) 28 kmph	D) 34 kmph

Answer & Explanation Answer: A) 36 kmph

Explanation:

Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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6 4537

Q:

The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers?

A) 3365	B) 2160
C) 1854	D) 1632

Answer & Explanation Answer: B) 2160

Explanation:

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

The numbers are 36 and 60.

Hence, the product of the numbers = 36 x 60 = 2160.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 4536

Q:

Jason decides to borrow money for a holiday. If a personal loan is taken over 4 years with equal quarterly repayments at 12% p.a. flat rate (simple interest), calculate the effective rate of interest.

A) 22,588	B) 32.588
C) 42.588	D) 43.588

Answer & Explanation Answer: A) 22,588

Explanation:

Flat rate = 12%
n = 4 × 4
= 16

Effective rate =2n/(n+1) × flat rate

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

1 4531

Q:

Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ?

A) 6	B) 7
C) 9	D) 11

Answer & Explanation Answer: A) 6

Explanation:

Let rate = R% and time = R years.

Then, (1200 x R x R) / 100 = 432

=> R = 6.

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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3 4531

Q:

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A) 17/112	B) 55/221
C) 55/121	D) 33/221

Answer & Explanation Answer: B) 55/221

Explanation:

n(S) = ${}^{52}C_{2}$ = 1326

Let A = event of getting both red cards

and B = event of getting both queens

then $(A \cap B)$ = event of getting two red queens

n(A) = ${}^{26}C_{2}$ = 325, n(B) = ${}^{4}C_{2}$ = 6

$n (A \cap B) = {}^{2}C_{2} = 1$

$∴ P (A) = \frac{325}{1326}, P (B) = \frac{6}{1326}$

$P (A \cap B) = \frac{1}{1326}$

$∴$ P ( both red or both queens) = $P (A \cup B)$

= $P (A) + P (B) - P (A \cap B) =$ $\frac{325}{1326} + \frac{1}{221} - \frac{1}{1326}$ = $\frac{55}{221}$

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Filed Under: Probability

6 4530

Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175	B) 155:124:95
C) 135:147:152	D) 175:144:115

Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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Filed Under: Partnership
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

3 4528

Q:

The total cost of a washing machine with a toaster was Rs 10500. The toaster was sold at a profit of 22% and the washing machine at a loss of 12%. If the sale price was the same in both the items, then the cost price of the cheaper item was ______.

A) Rs 4100	B) Rs 3250
C) Rs 7100	D) Rs 4400

Answer & Explanation Answer: D) Rs 4400

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 4527

Q:

Example:Given an amount needed(future value) of $3300 in 4 years at an interest rate of 11% compounded anually,Find the present value and the amount of interest earned

A) 1126.19	B) 1237
C) 2863	D) 1892

Quantitative Aptitude - Arithmetic Ability Questions

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