Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

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

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Q:

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

A) 35/3 B) 37/3
C) – 105/11 D) – 105/13
 
Answer & Explanation Answer: C) – 105/11

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Q:

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

A) 3x -­ 2y = 14 B) 3x -­ 2y = 2
C) 3x + 2y = 14 D) 3x + 2y = 2
 
Answer & Explanation Answer: A) 3x -­ 2y = 14

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Q:

Given: x -­ 5 ≤ 2x -­ 3 and 2x - ­1/2 ≥ 5x + 2; then x can take which of the following values?

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

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) Tetanus B) Syphilis
C) Plague D) Malaria
 
Answer & Explanation Answer: D) Malaria

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Q:

What is the value of (1/2) Sec 30° + √2 Tan 60°?

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

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Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔADE is 4 sq cm, what is the area (in sq cm) of quadrilateral BDEC.

A) 25 B) 21
C) 5 D) 9
 
Answer & Explanation Answer: B) 21

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Q:

If cot π/3c -­ tan π/4c = x, then the value of x is

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

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