6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the difference in the shares of profit between P and Q in a joint business at the end of one year ?

a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months.

b. Q joined four months after the start of business.

c. Q's amount was 80% of P's amount during the last six months.

A) Only a	B) Only c
C) Both a & b	D) Data is not sufficient

Answer & Explanation Answer: D) Data is not sufficient

Explanation:

a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

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Filed Under: Partnership
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2 4350

Q:

A steamer moves with a speed of 4.5 km/h in still water to a certain upstream point and comes back to the starting point in a river which flows at 1.5 km/h. The average speed of steamer for the total journey is

A) 12 km/h	B) 10 km/h
C) 6 km/h	D) 4 km/h

Answer & Explanation Answer: D) 4 km/h

Explanation:

Speed of streamer = 4.5 km/hrSpeed of water = 1.5 km/hr

Downstream speed = 4.5+1.5 = 6 km/hr

Upstream speed = 4.5 -1.5 = 3 km/hr

Average Speed = (6 X 3) / 4.5 = 4km/hr

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

11 4340

Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75	B) 100
C) 125	D) 150

Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50 <=> x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

0 4333

Q:

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

A) 427	B) 531
C) 651	D) 714

Answer & Explanation Answer: B) 531

Explanation:

Given in the question that, there are 7 boys and 6 girls.

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team =

$(6 C_{3} x 7 C_{2}) + (6 C_{4} x 7 C_{1}) + (6 C_{5}) = [\frac{6 x 5 x 4}{3 x 2 x 1} x \frac{7 x 6}{2 x 1}] + [\frac{6 x 5 x 4 x 3}{4 x 3 x 2 x 1} x 7] + [\frac{6 x 5 x 4 x 3 x 2}{5 x 4 x 3 x 2 x 1}] = 420 + 105 + 6 = 531 .$

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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5 4332

Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3	B) 1/2
C) 7/8	D) 4/5

Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

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Filed Under: Probability
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4 4327

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years	B) 62 Years
C) 42 Years	D) 69 Years

Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

5 4325

Q:

If the rate of inflation for the next 20 years is 2.5% per year, what annual income will be needed 20 years from now to have the same purchasing power as a $30,000 annual income today?

A) 39158	B) 49158
C) 59158	D) 69158

Answer & Explanation Answer: B) 49158

Explanation:

i=j/m

FV = PV(1+ i)^n

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

2 4314

Q:

Kashundra Jones plans to make a lump sum deposit so that she can withdraw $3,000 at the end of each quarter for 10 years. Find the lump sum if the money earns 10% per year compounded quarterly

A) 75263.64	B) 76345
C) 76389	D) 56897

Quantitative Aptitude - Arithmetic Ability Questions

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