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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Ashok can row upstream at 8 kmph and downstream at 12kmph.What is the speed of the stream ?

A) 6 km/hr B) 3 km/hr
C) 2 km/hr D) 4.5 km/hr
 
Answer & Explanation Answer: C) 2 km/hr

Explanation:

If the speed downstream is a kmph and the speedup stream is b kmph then
Speed of the stream = 1/2 x (a–b) kmph
Speed downstream a = 12kmph
Speed upstream b = 8 kmph
Speed of the stream = 1/2 x (a–b) = 1/2 x (12–8)= 4/2 = 2 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 2432
Q:

0.0245¯ written as a vulgar fraction in its simplest form = ?

A) 9/370 B) 27/1111
C) 27/1100 D) 9/37
 
Answer & Explanation Answer: C) 27/1100

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

3 2431
Q:

S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?

A) 195/2 B) 235/2
C) 225/2 D) 215/2
 
Answer & Explanation Answer: B) 235/2

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

7 2430
Q:

Srinivasan invests two equal amounts in two banks giving 8% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1500. Find the sum invested in each.

A) Rs. 5800 B) Rs. 15000
C) Rs. 7500 D) Rs. 17,000
 
Answer & Explanation Answer: C) Rs. 7500

Explanation:

Let the sum invested be x.
⇒ 8x/100 + 12x/100 = 1500
⇒ 20x = 150000
⇒ x = 7500

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 2429
Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

5 2429
Q:

If A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1, then what is value of A : C : D?

A) 6 : 5 : 2 B) 7 : 20 : 10
C) 8 : 30 : 15 D) 16 : 30 : 15
 
Answer & Explanation Answer: D) 16 : 30 : 15

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

2 2426
Q:

The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

 

A) √245 cm B) √255 cm
C) √265 cm D) √275 cm
 
Answer & Explanation Answer: C) √265 cm

Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
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Filed Under: Area
Exam Prep: Bank Exams

5 2426
Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
Exam Prep: Bank Exams

5 2426