Quantitative Aptitude - Arithmetic Ability Questions

Q:

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

 

A) 38 B) 35
C) 40 D) 31
 
Answer & Explanation Answer: A) 38

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Q:

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

A) 76 B) 100
C) 294 D) 318
 
Answer & Explanation Answer: B) 100

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Q:

List price of TV is Rs. 2300 and discount series found to be 25% and 10%. Then the selling price of TV is

A) Rs.1255.5 B) Rs.1525.5
C) Rs.1552.5 D) Rs.1555.2
 
Answer & Explanation Answer: C) Rs.1552.5

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Q:

What is the value of (sinA -­ 2sin3A)/(2cos3A -­ cosA)?

A) cotA B) cosecA
C) secA D) tanA
 
Answer & Explanation Answer: D) tanA

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Q:

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

A) -1 B) 1
C) -3 D) 3
 
Answer & Explanation Answer: C) -3

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Q:

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

A) 2cosec2A B) 2sec2A
C) 1 -­ 2cosec2A D) 1 -­ 2sec2A
 
Answer & Explanation Answer: A) 2cosec2A

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Q:

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

A) 2x -­ y = 14 B) 2x + y = 10
C) 2x -­ y = 10 D) 2x + y = 14
 
Answer & Explanation Answer: C) 2x -­ y = 10

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Q:

If x = 4aba+b, then what is the value of x+2ax-2a+x+2bx-2b ?

A) 0 B) 2
C) 4 D) 1
 
Answer & Explanation Answer: B) 2

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