Aptitude and Reasoning Questions

Q:

If xy = 22 and x2+ y2= 100, then what will be the value of (x + y)?

A) 12 B) 144
C) 72 D) 6
 
Answer & Explanation Answer: A) 12

Explanation:
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5 1403
Q:

What is the value of cosec 120°

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

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5 2534
Q:

A crate of egg holds one rotten egg out of every 25 egg in it. If 5 out of 8 rotten eggs are unusable and there are total 10 unusable eggs in the crate,then calculate the number of eggs in the crate.

A) 380 B) 400
C) 420 D) 440
 
Answer & Explanation Answer: B) 400

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5 1414
Q:

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

A) cot (θ/2) B) tan (θ/2)
C) sin θ D) cos θ
 
Answer & Explanation Answer: B) tan (θ/2)

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5 1495
Q:

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A) ( b + 3 a)/( a – 3 b) B) ( a + 3 b)/( b – 3 a)
C) (1 + 3 a)/( a + 3 b) D) ( a + 3 b2)/( b – 3 a2)
 
Answer & Explanation Answer: A) ( b + 3 a)/( a – 3 b)

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5 1881
Q:

Find x.

693.5 - (47.23 - x) - 82.48 = 8.172.

A) -720.578 B) -555.618
C) -650.078 D) 831.382
 
Answer & Explanation Answer: B) -555.618

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5 2778
Q:

x = y - (50/y), where x and y are both > 0 

If the value of y is doubled in the equation above, the value of x will

A) decrease B) stay the same
C) increase four fold D) increase to more than double
 
Answer & Explanation Answer: D) increase to more than double

Explanation:

The best approach is to pick a number that satisfies the rules that x and y are greater than 0. So for example you could choose 25 for y.

The value of x before doubling is then 25 - 50/25 = 23

The value after doubling y will be 50 - 50/50 = 49, which is more than double.

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Exam Prep: GRE

5 17279
Q:

What is the simplified result of following the steps below in order?

       1.Add 5y to 2x

       2.Multiply the sum by 3

       3.Substract x+y from the product

A) 5x + 14y B) 5x + 16y
C) 5x + 5y D) None
 
Answer & Explanation Answer: A) 5x + 14y

Explanation:

Step 1 :2x + 5y

Step 2 :3(2x + 5y) = 6x + 15y

Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)

This gives 5x + 14y

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