Quantitative Aptitude - Arithmetic Ability Questions

Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A) 3years B) 2years
C) 4years D) 6years
 
Answer & Explanation Answer: B) 2years

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000*(1+7/100)^n=34347

n= 2 years

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4517
Q:

If 5+237+43 = a + b3 then a & b = ?

A) a=-11,b=-6 B) a=-11,b=6
C) a=11,b=-6 D) a=11,b=6
 
Answer & Explanation Answer: C) a=11,b=-6

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 4517
Q:

A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?

A) 8 sec B) 8.5 sec
C) 9 sec D) 9.5 sec
 
Answer & Explanation Answer: C) 9 sec

Explanation:

Relative speed = 68-8 = 60 km/hr = 60 X 5 / 18 m/s = 50/3 m/s

Total distance = 150 m

Time taken to pass a man running in same direction = 150 X 3/50 = 9 seconds

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

2 4514
Q:

(0.75)31-0.75+0.75+0.752+1 = ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

(0.75)31-0.75+0.75+(0.75)2+1=(0.75)3+(1-0.75)(1)2+(0.75)2+1×0.751-0.75 

 

 

(0.75)3+(1)3-(0.75)31-0.75 =10.25=4=2

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6 4507
Q:

Find the odd letter/word from the given alternatives.

A) Horse B) Ewe
C) Hind D) Bitch
 
Answer & Explanation Answer: A) Horse

Explanation:

Except Horse, remaining all belong to female category.

Hind - Female Deer

Ewe - Female Sheep

Bitch - Female Dog. 

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

9 4505
Q:

In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 

A) 20 B) 160
C) 164 D) 220
 
Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.

 

If all these 8 points are different we get 8C3 triangles as they are collinear.

 

In 12C3 triangles, we do not get 8C3 triangles

 

Therefore, The number of triangles we get = 12C3-8C3 = 164

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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3 4502
Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20%
C) 25% D) 27%
 
Answer & Explanation Answer: C) 25%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%
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Filed Under: Area
Exam Prep: Bank Exams

10 4499
Q:

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

Let the required number of bottles be x.

 

 

 

More weavers, More mats (Direct Proportion)

 

 

 

More days, More mats (Direct Proportion)

 

 

 

Wavers   4:8Days       4:8  :: 4:x

 

 

 

 4 x 4 x x = 8 x 8 x 4

 

 

 

=> x= 8*8*44*4

 

 

 

=>  x = 16.

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