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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

A) 720 B) 576
C) 567 D) 625
 
Answer & Explanation Answer: B) 576

Explanation:

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.

 

There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in 4P3 ways and 4 constants can be arranged in 4P4 ways.

 

Number of words =4P3  x 4P4= 24 x 24 = 576

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Filed Under: Permutations and Combinations

18 22790
Q:

A train moves with a speed of 108 kmph. Its speed in metres per second is :

A) 10.8 B) 18
C) 30 D) 38.8
 
Answer & Explanation Answer: C) 30

Explanation:

108 kmph = 108*[5/18] m/sec = 30 m / s.

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Filed Under: Problems on Trains

42 22789
Q:

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

A) 10 B) 30
C) 35 D) 60
 
Answer & Explanation Answer: C) 35

Explanation:

A triangle is formed by joining any three non-collinear points in pairs.

 

There are 7 non-collinear points

 

The number of triangles formed = 7C3 = 35

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Filed Under: Permutations and Combinations

15 22754
Q:

In the following question, select the odd word pair from the given alternatives.

 

A) Sister – Female B) Male – Father
C) Brother – Male D) Grandmother – Female
 
Answer & Explanation Answer: B) Male – Father

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 22733
Q:

A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr.  His average speed for the whole journey in km/hr is :

A) 35 B) 36
C) 37.5 D) 38.2
 
Answer & Explanation Answer: C) 37.5

Explanation:

Average speed = (2xy) /(x + y) km/hr

                      = (2 * 50 * 30) / (50 + 30) km/hr.

                         37.5 km/hr.

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Filed Under: Average

17 22699
Q:

A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is

A) rs.58 B) rs.158
C) rs.258 D) rs.358
 
Answer & Explanation Answer: C) rs.258

Explanation:

area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m

cost of graveling = 344 x  (75/100) = Rs. 258

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

30 22677
Q:

How many litres of pure acid are there in 8 litres of a 20% solution ?

A) 1.4 B) 1.5
C) 1.6 D) 1.7
 
Answer & Explanation Answer: C) 1.6

Explanation:

Quantity of pure acid = 20% of 8 litres = ((20/100)*8) litres = 1.6 litres.

 

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Filed Under: Percentage

38 22673
Q:

The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :

A) 6000 B) 7000
C) 8888 D) 9000
 
Answer & Explanation Answer: D) 9000

Explanation:

Let their prices be 3x,  5x and 7x.

Then, 3x + 5x + 7x = (15000 * 3) or x = 3000.

Cost of cheapest item = 3x = Rs. 9000.

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Filed Under: Average

26 22662