Aptitude and Reasoning Questions

Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A) x2 – 1522x + 14641 = 0 B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0 D) x2+ 2520x + 14641 = 0
 
Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?

A) (4 , 3) B) (4 , 5)
C) (2 , 5) D) (3 , 5)
 
Answer & Explanation Answer: B) (4 , 5)

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Q:

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

A) 3.5 B)  7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

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Filed Under: Volume and Surface Area
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Q:

The area of a rhombus is 24 m2 and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

 

A) 5m B) 10m
C) 4m D) 6m
 
Answer & Explanation Answer: A) 5m

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The price of a Television is Rs.14000 inclusive of VAT. If the rate of VAT is 12%, find the basic price of the Television.

A) Rs.13500 B) Rs.13000
C) Rs.12500 D) Rs.12000
 
Answer & Explanation Answer: C) Rs.12500

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____

A) 123 B) 81
C) 140 D) 160
 
Answer & Explanation Answer: D) 160

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Q:

If the selling price is Rs 1680 after getting a discount of 16%, what was the marked price?

A) Rs 2000 B) Rs 1948.8
C) Rs 1411.2 D) Rs 1448
 
Answer & Explanation Answer: A) Rs 2000

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Q:

What is the area (in sq cm) of an equilateral triangle of side 14 cm?

A) 49√3 B) 98√3
C) (49/2)√3 D) (49/4)√3
 
Answer & Explanation Answer: A) 49√3

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