Aptitude and Reasoning Questions

Q:

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

A) 1000 B) 9000
C) 1 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x2-13x-189=0 II. 2y2-3y-189=0

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

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

Select the related word/letters/number from the given alternatives.
MUMBAI: UMBMIA :: GURUGRAM : ?

A) RUGUMARG B) UGURRGMA
C) UGURGRMA D) UGRURGAM
 
Answer & Explanation Answer: B) UGURRGMA

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Filed Under: Analogy
Exam Prep: Bank Exams

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Q:

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

A) 1.5 B) 2
C) 2.5 D) 3
 
Answer & Explanation Answer: C) 2.5

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Q:

In the given figure, QRN = 40°, PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?

A) 40, 46, 94 B) 40, 50, 90
C) 46, 54, 80 D) 50, 40, 90
 
Answer & Explanation Answer: A) 40, 46, 94

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Q:

‘R + S’ means ‘R is mother of S’, ‘R – S’ means ‘R is wife of S’, ‘R × S’ means ‘R is son of S’ and ‘R ÷ S’ means ‘R is father of S’. Which of the followingrepresents K as the grandson of T?

A) K + T × J × R B) J + K × L ×
C) R + T – S ÷ K D) K + L × R ÷ T
 
Answer & Explanation Answer: B) J + K × L ×

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Q:

The third proportional of two numbers 4 and 20 is

A) 36 B) 40
C) 100 D) 60
 
Answer & Explanation Answer: C) 100

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The height of an equilateral triangle is 18 cm. Its area is

A) 36√3 sq. m. B) 108√3 sq. cm.
C) 108 sq. cm. D) 96√3 sq. m.
 
Answer & Explanation Answer: B) 108√3 sq. cm.

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Filed Under: Area
Exam Prep: Bank Exams

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