Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A) 8.5% B) 7.5%
C) 8% D) 9%
 
Answer & Explanation Answer: C) 8%

Explanation:

By investing Rs. 1552, income = Rs. 128.

 

By investing Rs. 97, income =Rs.1281552×97= Rs. 8.

 

Dividend = 8%

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Filed Under: Stocks and Shares

5 14582
Q:

If n is natural number , then 6n2+6n is always divisible by :

A) 6 only B) 6 and 12 both
C) 12 only D) by 18 only
 
Answer & Explanation Answer: B) 6 and 12 both

Explanation:

6n2+6n=6nn+1, which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

12 14578
Q:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4 B) 4 : 1
C) 2 : 1 D) 1 : 2
 
Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = 2x.  

 

Radius of incircle = x/2  and radius of circumcircle =2x2 . k11482389216.png image

Therefore, required ratio = πx24:πx22 = 14:12=1:2

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Filed Under: Area
Exam Prep: CAT
Job Role: Bank Clerk

22 14573
Q:

LCM of 80, 85, 90

A) 11440 B) 11998
C) 12240 D) 12880
 
Answer & Explanation Answer: C) 12240

Explanation:

LCM of (80, 85, 90) can be found by prime factorizing them.

 

80 → 2 × 2 × 2 × 2 × 5

85 → 17 × 5

90 → 2 × 3 × 3 × 5

L.C.M of (80,85,90) = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

= 16 x 9 x 85

= 144 x 85

= 12240

 

L.C.M of (80,85,90) = 12240.

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97 14562
Q:

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water . If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level

 

A) 11.25cm B) 11.56cm
C) 11.66cm D) 10.86cm
 
Answer & Explanation Answer: A) 11.25cm

Explanation:

Increase in volume = Volume of the cube = (15 x 15 x 15) cm3.

 

\Rise in water level = volume/area = (15 x 15 x 15)/(20 x 15) cm = 11.25 cm.

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7 14557
Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts B) 150 mts
C) 120 mts D) 100 mts
 
Answer & Explanation Answer: D) 100 mts

Explanation:

We know that   Speed=distancetime 

distance= speed * time


 d=40×518×9 

   d= 100 mts.

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Filed Under: Problems on Trains
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

11 14548
Q:

A sum at simple interest at 1312% per annum amounts to Rs. 2502.50 after 4 years. Find the sum

A) Rs.1625 B) Rs1525
C) Rs.1425 D) Rs.1325
 
Answer & Explanation Answer: A) Rs.1625

Explanation:

 Let sum be Rs.x then, S.I. =Rs. [ x * (27/2) * 4 * (1/100) ] = Rs. 27x/50 

 

Amount =Rs [ x + (27x/50)] = Rs.77x/50 

 

=> 77X/50 = 2502.50  

 

=>X= (2502.50 * 50)/77 = 1625 

 

Hence Sum = Rs.1625

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

11 14520
Q:

In how many ways can 5 letters be posted in 4 letter boxes?

A) 512 B) 1024
C) 625 D) 20
 
Answer & Explanation Answer: B) 1024

Explanation:

First letter can be posted in 4 letter boxes in 4 ways. Similarly second letter can be posted in 4 letter boxes in 4 ways and so on.

Hence all the 5 letters can be posted in = 4 x 4 x 4 x 4 x 4 = 1024

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9 14507