Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following statement(s) is/are CORRECT?

 

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: C) Neither I nor II

Explanation:
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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13 B) 1/13
C) 1/26 D) 1/52
 
Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

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Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64 B) 57
C) 29 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14

 

Hence, the next number in the given number series is 14.

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Q:

10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is :

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

Explanation:

Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.

 

Total age of 4 members now = [96 + (10 x 4)] years = 136 years.

 

Total age of 6 members now = (24 x 6) years = 144 years.

 

Sum of the ages of 2 children = (144 - 136) years = 8 years.

 

Let the age of the younger child be x years.

 

Then, age of the elder child = (x+2) years.

 

So, x+(x+2) =8 <=> x=3

 

Age of younger child  =  3 years.

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Q:

What will be the compound interest earned on an amount of Rs. 5000 in 2 years?

I. The simple interest on the same amount at the same rate of interest in 5 years is Rs.2000.

II. The compound interest and the simple interest earned in one year is the same.

III. The amount becomed more than double on compound interest in 10 years.

A) I only B) .I and II only
C) II and III only D) I and III only
 
Answer & Explanation Answer:

Explanation:
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Q:

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?

 

A) 5/12   B) 13/5  
C) 5/13 D) 13/12
 
Answer & Explanation Answer: D) 13/12

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Q:

Calculate the value of x if 1 - x289 = 1517

 

A) 64 B) 44
C) 36 D) 54
 
Answer & Explanation Answer: A) 64

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Q:

Which of the following statements is/are true?

I.  1112+1734-515-2110 = 43920II. 91078>111127>121219III. 149151>153155>157159

A) Only I B) Only II
C) Only III D) None is true.
 
Answer & Explanation Answer: A) Only I

Explanation:
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