Quantitative Aptitude - Arithmetic Ability Questions

Q:

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

A) x > y B) x>y
C) x < y D) x
 
Answer & Explanation Answer:

Explanation:

x^2+ 30x + 81 = 0
x^2+ 27x + 3x + 81 = 0
x = -3, -27
y^2-9y -162 = 0
y^2-18y + 9y -162 = 0
y = -9, 18
Hence, no relationship can be established between x and y

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Q:

Reflection of the point (2,-4) in the origin is

A) (2,4) B) (-2,-4)
C) (2,-4) D) (-2,4)
 
Answer & Explanation Answer: D) (-2,4)

Explanation:
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Q:

A starts a cement trading business by investing Rs 5 lakhs. After 2 months, B joins the business by investing Rs 10 lakhs and then 4 months after B joined C too joins them by investing Rs 20 lakhs. 1 year after A started the business they make Rs 3,50,000 in profit. What is B's share of the profit (in Rs)?

A) 75000 B) 1,25,000
C) 1,50,000 D) 1,00,000
 
Answer & Explanation Answer: B) 1,25,000

Explanation:
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Q:

If x + y = 13 and x2 + y2 = 89, then find xy is

A) 80 B) 169
C) 258 D) 40
 
Answer & Explanation Answer: D) 40

Explanation:
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Q:

What is the unit digit of 15+25+35+...+205 ?

A) 0 B) 5
C) 2 D) 4
 
Answer & Explanation Answer: A) 0

Explanation:
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Q:

If the product of two numbers is 2400 and their LCM is 96 then their HCF is

A) 35 B) 240
C) 24 D) 25
 
Answer & Explanation Answer: D) 25

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Q:

If cos ­-11π/6 = x, then the value of x is

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

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Q:

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A) 12.6 cm B) 9.3 cm
C) 8.1 cm D) 5.4 cm
 
Answer & Explanation Answer: A) 12.6 cm

Explanation:
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