Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a + b = 8 and ab = 15, then what is the value of a3 + b3?

A) 98 B) 152
C) 124 D) 260
 
Answer & Explanation Answer: B) 152

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Q:

The simplest value of 38-212+20318-227+45 is

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

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Q:

If xy = -18 and x2+ y2= 85, then find the value of (x + y).

A) 8 B) 10
C) 9 D) 7
 
Answer & Explanation Answer: D) 7

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Q:

If 2x - 3(2x - 2) > x - 1 < 2 + 2x; then x can take which of the following values?

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

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Q:

If x = 1/(√2+1) then the value of x2 + 2x - 1 is

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

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Q:

What is the simplified value of 18 - 12 ?

A) 5/√2 B) 5√2
C) 2√5 D) 2/√5
 
Answer & Explanation Answer: A) 5/√2

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Q:

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

A) 5√3 m B) 6√3 m
C) 6√2m D) 6√5 m
 
Answer & Explanation Answer: B) 6√3 m

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Filed Under: Height and Distance
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Q:

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

A) I and II B) I and III
C) Only III D) I and either II or III
 
Answer & Explanation Answer:

Explanation:

From I and II,
Length = 3x = 48 m
∴ x = 16
Breath = 2x = 32 m
Hence, Area of floor = 48 × 32
Cost of flooring = 48 × 32 × 850 = ₹ 1305600
From I and III, 2(l +b) = 160
2(3x + 2x) = 160
10x = 160
∴ x = 16
∴ Length = 3 × 16 = 48 m
Breadth = 2x = 32m
Cost of flooring = (48 × 32) × 850 = ₹ 1305600
Similarly, from II and III, we can find
l = 48 m
b = 32 m
and Total cost of flooring = ₹ 1305600

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