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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Which of the following conditions is correct for a right angled triangle?

 

A) Sum of the two angles of a triangle is greater than the third angle B) Sum of the two angles of a triangle is less than the third angle
C) Sum of the two angles of a triangle is equal to the third angle D) None of these
 
Answer & Explanation Answer: C) Sum of the two angles of a triangle is equal to the third angle

Explanation:
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Q:

What is the value of (cosec60 - 1/2) ?

 

A) (4-√3)/2√3   B) (2√3-1)/√3  
C) (3√3-1)/3   D) 1/√3
 
Answer & Explanation Answer: A) (4-√3)/2√3  

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Q:

A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?

A) 3 months B) 6 months
C) 10 months D) 12 months
 
Answer & Explanation Answer: C) 10 months

Explanation:

Let the total profit be Rs. z. Then,

B's share = Rs. 2z/3,  A's share = Rs. ( z - 2z/3 ) = Rs. z/3.

A : B = z/3 : 2z/3 = 1:2

Let the total capital be Rs, X and suppose B's money was used for x months. Then.

(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .

 Thus, B's money was used for 10 months.

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Q:

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is : 

A) 285 B) 290
C) 297 D) 305
 
Answer & Explanation Answer: A) 285

Explanation:

 Since the month begins with a Sunday, so there will be five Sundays in the month,

Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.

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79 61384
Q:

Solve the following

 

24/(19 - 9 / 3 x 9) = ?

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

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Q:

If x = 4 + √15, then what is the value of [x2 + (1/x2)]?

 

A) 62 B) 64
C) 34 D) 36
 
Answer & Explanation Answer: A) 62

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

 

A) 87/425 B) 304/425
C) 297/425 D) 416/425
 
Answer & Explanation Answer: A) 87/425

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Q:

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

I. 4√3 > 3√4

II. 8√2 > 2√8

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

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