Quantitative Aptitude - Arithmetic Ability Questions

Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

Report Error

View Answer Report Error Discuss

0 1626
Q:

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

A) 10 B) 15
C) 20 D) 60
 
Answer & Explanation Answer: B) 15

Explanation:
Report Error

View Answer Report Error Discuss

0 1626
Q:

ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?

A) 145 B) 290
C) 435 D) 580
 
Answer & Explanation Answer: B) 290

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 1626
Q:

Ankit runs 324 metres every day for his fitness. According to his daily routine in how many days he covers 8.1 km.

A) 21 B) 23
C) 25 D) 27
 
Answer & Explanation Answer: C) 25

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

4 1626
Q:

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

A) 2 B) 3
C) 3.5 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

2 1626
Q:

A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is

A) Rs. 2900 B) Rs. 2200
C) Rs. 2400 D) Rs. 3100
 
Answer & Explanation Answer: C) Rs. 2400

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

2 1626
Q:

For what sum will the simple interest at R% for 2 years will be R?

A) 100/2R B) 50/R
C) 100/R D) 200/R
 
Answer & Explanation Answer: C) 100/R

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

0 1625
Q:

How long will Ramesh take to run round a square park of edge 50 meters, if he runs at the rate of 18 km/hr?

A) 40 sec B) 20 sec
C) 80 sec D) 160 sec
 
Answer & Explanation Answer: A) 40 sec

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: Bank Exams

3 1625