6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How many remainders are possible if $16^{n}$ is divided by 9 for any positive integral value of n ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

When $16^{n}$ is divided by 9, we have

$\frac{16^{1}}{9}$ , remainder = 7

$\frac{16^{2}}{9}$ , remainder = 4

$\frac{16^{3}}{9}$ , remainder = 1

$\frac{16^{4}}{9}$ , remainder = 7

$\frac{16^{5}}{9}$ , remainder = 4

$\frac{16^{6}}{9}$ , remainder = 1

So, we have cyclicity of 3 factors i.e 7,4,1.

Hence only 3 remainders are possible.

Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

7 5353

Q:

Determine the total number of five-card hands that can be drawn from a deck of 52 cards.

A) 2589860	B) 2598970
C) 2598960	D) 2430803

Answer & Explanation Answer: C) 2598960

Explanation:

When a hand of cards is dealt, the order of the cards does not matter. If you are dealt two kings, it does not matter if the two kings came with the first two cards or the last two cards. Thus cards are combinations. There are 52 cards in a deck and we want to know how many different ways we can put them in groups of five at a time when order does not matter. The combination formula is used.

C(52,5) = 2,598,960

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

1 5348

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55	B) 105
C) 215	D) 148

Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

Report Error

View Answer Report Error Discuss

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

6 5347

Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350	B) Rs. 5220
C) Rs. 5890	D) Rs. 6458

Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

Report Error

View Answer Report Error Discuss

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

5 5345

Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 %	B) 23 1/3 %
C) 20 %	D) 16 %

Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

Report Error

View Answer Report Error Discuss

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

3 5340

Q:

Payments of $2000 and $1000 were originally scheduled to be paid one year and five years, respectively, from today. They are to be replaced by a $1500 payment due four years from today, and another payment due two years from today. The replacement stream must be economically equivalent to the scheduled stream. What is the unknown payment, if money can earn 7% compounded semiannually?

A) 1548	B) 1348
C) 1648	D) 1748

Answer & Explanation Answer: C) 1648

Explanation:

FV1 = Future value of $2000, 1 year later
= PV (1+ i)^n

Report Error

View Answer Report Error Discuss

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

2 5339

Q:

If a cellphone is purchased for Rs.490 and sold for Rs.465.50 find the loss percentage?

A) 10	B) 5
C) 20	D) 15

Answer & Explanation Answer: B) 5

Explanation:

loss = C.P - S.P = 490 - 465.50 =24.50

loss % = (loss x 100)/C.P = (24.50 x 100)/490 = 5%

Report Error

View Answer Report Error Discuss

Filed Under: True Discount

4 5329

Q:

If A had worked alone he would have taken 63 hours to do the task. What is B's share, if A and B work together on a task finishing it in 36 hours and they get paid Rs 5,950 for it?

A) 3400	B) 3600
C) 2550	D) 2750

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links