Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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Q:

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

In the following question, select the odd number from the given alternatives.

A) 145 B) 463
C) 581 D) 651
 
Answer & Explanation Answer: B) 463

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Q:

The point Q(a,b) is first reflected in y­-axis to Q1 and Q1 is reflected in x­axis to (­-5,3). The co­ordinates of point Q are

A) (­-5,­3) B) (5,-3)
C) (­-5,-3) D) (5,­3)
 
Answer & Explanation Answer: B) (5,-3)

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Q:

If √(1 + cot2A)/cotA = x, then the value of x is

A) sinA B) cosecA
C) secA D) cosA
 
Answer & Explanation Answer: C) secA

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Q:

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

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

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Q:

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2  y2)?

A) 0 B) 1
C) 512√2 D) 612√2
 
Answer & Explanation Answer: D) 612√2

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Q:

A sum of Rs 4000 becomes Rs 7000 in 6 years at simple interest. If the rate of interest becomes double of itself, then what will be the amount (in Rs) after 6 years?

 

A)  8500 B)  9000
C)  8000 D) 10000
 
Answer & Explanation Answer: D) 10000

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