Quantitative Aptitude - Arithmetic Ability Questions

Q:

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A) 16.25 B) 19.25
C) 18.25 D) 17.25
 
Answer & Explanation Answer: B) 19.25

Explanation:

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Filed Under: Area

2 2924
Q:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

A) 85 min B) 92 min
C) 187 min D) 144 min
 
Answer & Explanation Answer: D) 144 min

Explanation:

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36 

4/x = 1/36 => x = 144 min.
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Filed Under: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams
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7 2918
Q:

Manu invested an amount of Rs. 14800 at the rate of 7% per annum. After how many years will she obtain a simple interest of Rs.15800?

A) 16.75 yrs B) 15.25 yrs
C) 14 yrs D) 13.5 yrs
 
Answer & Explanation Answer: B) 15.25 yrs

Explanation:

We know that,

I = PTR/100

ATQ,

15800 = 14800 x T x 6/100

T = 15800/148x7

T = 15800/1036

T = 15.25 yrs.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT
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10 2911
Q:

Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively?

A) 3 : 2 : 12 B) 12 : 2 : 3
C) 4 : 6 : 1 D) 1 : 6 : 4
 
Answer & Explanation Answer: C) 4 : 6 : 1

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

4 2908
Q:

If a3+ b3 = 341 and ab = 30, then what is the value of a + b?

A) 1 B) 9
C) 7 D) 11
 
Answer & Explanation Answer: D) 11

Explanation:
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Filed Under: Simplification

6 2905
Q:

If 5x - 17 = -x + 7, then x = ?

A) 4 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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17 2903
Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m B) 21 m
C) 22 m D) 19 m
 
Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
 CB = CA×AB 

 

182200×200169

 

=> 182:169

 

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers 169182×350
=> 325 m

 

 

 

So C beats B by (350 - 325) = 25 m.

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Filed Under: Time and Distance
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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6 2903
Q:

Two number P & Q are 20 % and 28 % less then a number X. What is the percentage the number Q is smaller then the number P?

A) 10% B) 23%
C) 12% D) 13%
 
Answer & Explanation Answer: A) 10%

Explanation:

Let the number X is 100

Then, PÃ 80 QÃ 72

So, Percentage decrease from P to Q is à 8/80=0.1-100=10%

1 is the right choice.

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Filed Under: Percentage

1 2902