Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

x2-11x+28=0y2-18y+81=0

A) x > y B) x < y
C)  x=y, or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Q:

An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both the schemes is Rs 2961. If both schemes have 23% per annum interest rate, then what is the first year interest (in Rs)of simple interest scheme?

A) 500 B) 1100
C) 700 D) 900
 
Answer & Explanation Answer: C) 700

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

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Q:

Study the information carefully to answer the following questions: An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that one is green and two are yellow?

A) 3/14 B) 2/91
C) 9/182 D) 7/545
 
Answer & Explanation Answer: C) 9/182

Explanation:

Required probability = 3×6364=9182

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Q:

If 2secA - (1 + sinA)/cosA = x, then the value of x is

A) cosecA/(1+sinA) B) cosA/(1+sinA)
C) cosA(1+sinA) D) cosecA(1+sinA)
 
Answer & Explanation Answer: B) cosA/(1+sinA)

Explanation:
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Q:

If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

A) 35/24 B) 24/35
C) -24/35 D) -35/24
 
Answer & Explanation Answer: B) 24/35

Explanation:
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Q:

The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?

A) 56 B) 48
C) 36 D) 44
 
Answer & Explanation Answer: B) 48

Explanation:
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Filed Under: Ratios and Proportions
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Q:

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

A) 31 B) 37
C) 43 D) 49
 
Answer & Explanation Answer: D) 49

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

What is the unit digit of 15+25+35+...+205 ?

A) 0 B) 5
C) 2 D) 4
 
Answer & Explanation Answer: A) 0

Explanation:
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