Quantitative Aptitude - Arithmetic Ability Questions

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 4217
Q:

Dianna deposits $725 into a savings account that pays 2.3% simple annual interest. How much interest will Dianna earn after 18 months?

A) 23.01 B) 24.01
C) 25.01 D) 26.01
 
Answer & Explanation Answer: C) 25.01

Explanation:

I = Prt

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0 4213
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
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

2 4205
Q:

The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ?

A) 59 B) 43
C) 57 D) 47
 
Answer & Explanation Answer: D) 47

Explanation:

Let their ages be x, y, z
Hence given that x + y + z = 65
Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6
Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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

3 4200
Q:

The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

A) 4500 B) 9000
C) 6000 D) 7500
 
Answer & Explanation Answer: B) 9000

Explanation:
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Filed Under: Ratios and Proportions

5 4198
Q:

K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ?

A) 47/7 days B) 59/6 days
C) 48/5 days D) 57/5 days
 
Answer & Explanation Answer: C) 48/5 days

Explanation:

Amount of work K can do in 1 day = 1/16

Amount of work L can do in 1 day = 1/12

Amount of work K, L and M can together do in 1 day = 1/4

Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48

=> Hence M can do the job on 48/5 days = 9 (3/5) days  

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

9 4194
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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3 4193
Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A) 1/26 B) 1/13
C) 2/13 D) 1/52
 
Answer & Explanation Answer: A) 1/26

Explanation:

Here in this pack of cards, n(S) = 52

Let E = event of getting a queen of the club or a king of the heart

Then, n(E) = 2

P(E) = n(E)/n(S) = 2/52 = 1/26

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

11 4189