Aptitude and Reasoning Questions

Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2252
Q:

Nishi's grandfather is the brother of Om's father. Hemant is the son of Om. How is Hemant related to Nishi?

A) Brother B) Son
C) Cousin D) Nephew
 
Answer & Explanation Answer: C) Cousin

Explanation:
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Filed Under: Blood Relations
Exam Prep: CAT , Bank Exams , AIEEE

2 2252
Q:

In the following sentence, Find out which pair of words can be filled in the blanks in order to make a meaningful sentence.

A four - year - old girl ______ her life after she was _____ from a 400 ft bore well she had slipped into.

A) Default, released B) Made, treated
C) Maintained, sustained D) Lost, rescued
 
Answer & Explanation Answer: D) Lost, rescued

Explanation:

Lost, rescued are the words which gives meaning to the sentence.

For other options:

Default - Fail

Sustained - suffered  are suitable and correct pairs.

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Filed Under: Inserting The Missing Character
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

27 2251
Q:

If BROTHER is coded as GWTYMJW, then SCHOOL is coded as

A) WGLSSP B) WGLSSQ
C) XHMTTQ D) XHMTTP
 
Answer & Explanation Answer: C) XHMTTQ

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

What is the rate of interest (in %) if simple interest earned on a certain sum for the 3 years is Rs 6,000 and compound interest earned for 2 years is Rs 4,160?

A) 9 B) 8
C) 12 D) 6
 
Answer & Explanation Answer: B) 8

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

In a class of 50 students there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys if the class average is 42 marks?

A) 50 B) 52.5
C) 47.5 D) 55
 
Answer & Explanation Answer: C) 47.5

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Arrange the given words in the sequence in which they occur in the dictionary.
1. Waste
2. Wrong
3. Witty
4. Worcester
5. Warlike

A) 51324 B) 13452
C) 51342 D) 15342
 
Answer & Explanation Answer: C) 51342

Explanation:
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Filed Under: Odd Man Out
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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Filed Under: Simplification

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