6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h	B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h	D) 5 km/h and 2 km/h

Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

Report Error

View Answer Report Error Discuss

Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1874

Q:

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

A) (18/13, 12/13)	B) (18/13, -12/13)
C) (-18/13, -12/13)	D) (-18/13, 12/13)

Answer & Explanation Answer: B) (18/13, -12/13)

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1873

Q:

If a - b = 2 and ab = 15, then what is the value of $a^{3} - b^{3}$ ?

A) 152	B) 112
C) 108	D) 98

Answer & Explanation Answer: D) 98

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1873

Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

A) 18	B) 9
C) 20	D) 12

Answer & Explanation Answer: C) 20

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1873

Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8	B) 12
C) 6	D) 15

Answer & Explanation Answer: B) 12

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1873

Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD	B) sinC - sinD
C) cosC - cosD	D) cosC + cosD

Answer & Explanation Answer: B) sinC - sinD

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

1 1873

Q:

The value of 16 - [5 - 2{14 of 2 - (8 $\div$ 4 x 2 - 1 + 3}] is

A) -12	B) -9
C) -10	D) -14

Answer & Explanation Answer: C) -10

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

2 1872

Q:

In the following question, select the odd number from the given alternatives.

A) 26	B) 50
C) 82	D) 120

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links