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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A) 10 5/24 days B) 4 4/5 days
C) 6 8/15 days D) 12 6/19 days
 
Answer & Explanation Answer: A) 10 5/24 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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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

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

A) (64√3)/3 B) (177√3)/2
C) (135√3)/2 D) (98√3)/3
 
Answer & Explanation Answer: C) (135√3)/2

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Kiran swims in a 90 m long pool. He covers 360 m in two minutes by swimming from one end to the other and back 0 along the same straight path, twice. Find the average speed of Kiran.

A) 4 m/s B) 6 m/s
C) 3 m/s D) 8 m/s
 
Answer & Explanation Answer: C) 3 m/s

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

Ram lent Rs. 6,000/- to Shiva for 3 years and Rs. 8,000/- to Krishna for 5 years at the same rate of simple interest per annum. He got a total interest of Rs. 5,220 from both. Find the rate of interest per annum.

A) 6% B) 7%
C) 8% D) 9%
 
Answer & Explanation Answer: D) 9%

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Filed Under: Simple Interest
Exam Prep: Bank Exams

6 1582
Q:

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?

A) 162 deg B) 164.5 deg
C) 165 deg D) 166 deg
 
Answer & Explanation Answer: D) 166 deg

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Filed Under: Clocks
Exam Prep: Bank Exams

8 1582
Q:

∆XYZ is right angled at Y. If m ∠Z = 60. What is the length (in cm) of YZ, if ZX = 9√3 cm?

A) 3√3 B) 3√3/2
C) 9√3/2 D) √3
 
Answer & Explanation Answer: C) 9√3/2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?

A) 4/3 B) 5/4
C) 3/4 D) 4/5
 
Answer & Explanation Answer: C) 3/4

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Filed Under: Simplification
Exam Prep: Bank Exams

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