Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

A) 16 B) 30
C) 28.125 D) 27.5
 
Answer & Explanation Answer: A) 16

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

A) Rs 3224 B) Rs 1612
C) Rs 806 D) Rs 403
 
Answer & Explanation Answer: B) Rs 1612

Explanation:
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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

Divide Rs. 80 in the proportion of 3:6:7.

A) Rs. 10, Rs. 35, Rs. 40 B) Rs. 15, Rs. 30, Rs. 35
C) Rs. 15, Rs. 35, Rs.30 D) Rs. 10, Rs. 40, Rs. 35
 
Answer & Explanation Answer: B) Rs. 15, Rs. 30, Rs. 35

Explanation:

3/16 X 80, 6/16 X 80, 7/16 X 80
⇒ 15, 30, 35

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m B) 21 m
C) 22 m D) 19 m
 
Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
 CB = CA×AB 

 

182200×200169

 

=> 182:169

 

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers 169182×350
=> 325 m

 

 

 

So C beats B by (350 - 325) = 25 m.

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

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Q:

Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively?

A) 3 : 2 : 12 B) 12 : 2 : 3
C) 4 : 6 : 1 D) 1 : 6 : 4
 
Answer & Explanation Answer: C) 4 : 6 : 1

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?

A) 81 B) 86
C) 76 D) 91
 
Answer & Explanation Answer: C) 76

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

Karthik is now 32 years old and his son is 7 years old. In how many years will Karthik be twice as old as the son?

A) 18 B) 25
C) 7 D) 15
 
Answer & Explanation Answer: A) 18

Explanation:

Given Karthik’s age = 32 years

Karthik’s son age = 7 years

Difference between their ages = K - S = 32 - 7 = 25 years ….(1)

Now, required K = 2S ……(2)

Put (2) in (1)

2S - S = 25

=> S = 25 years

Hence, at the age of 25 years of Karthik’s son, Karthik will be twice as his son’s age.

25 - 7 = 18 years

 

Therefore, after 18 years the father be twice as old as the son.

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

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