Quantitative Aptitude - Arithmetic Ability 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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Q:

The zeros of the cubic polynomial 2x3-x2-2x+1 are a, b and c respectively. Find a+b+c :

A) -1 B) 2
C) 1 D) none
 
Answer & Explanation Answer: D) none

Explanation:
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Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A fraction is greater than twice its reciprocal by 7/15. What is the fraction?

A) 3/5 B) 5/3
C) 3/4 D) 4/3
 
Answer & Explanation Answer: B) 5/3

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

The average marks of 40 students in an examination was 34. It was later found that the marks of one student had been wrongly entered as 62 instead of 26. what is the correct average?

A) 33.1 B) 33.3
C) 33.5 D)  33.7
 
Answer & Explanation Answer: A) 33.1

Explanation:
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Exam Prep: Bank Exams

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Q:

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

A) 12 days B) 72 days
C) 42 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Rithika had Rs 8000. She invested some of it in savings scheme P and the rest of the money in savings scheme Q. She invested for 3 years in savings scheme P and for 2 years in savings scheme Q. savings scheme P offers SI at a rate of 20% pa while savings scheme Q compounded annually at the rate of 30% pa. The interest received from savings scheme P is 930 more than the interest received from savings scheme Q. If Rs 1500 is debited from the invested amount of savings scheme P then find the difference between the amount invested by Rithika in savings scheme P & savings scheme Q.

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: D) Rs 500

Explanation:
Amount invested in savings scheme P= Rs X

Amount invested in savings scheme Q= Rs (8000-X)

Compounding 30 % for 2 years , rate

30+30+ (30*30)/100= 69 %

60 % of X-69 % of (8000-X)=930

X= 5000

In savings savings scheme Q = 8000-5000=3000

5000 - 1500 = 3500

Difference =3500-3000=Rs 500

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 5306 B) 2147
C) 4205 D) 4308
 
Answer & Explanation Answer: D) 4308

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Exam Prep: Bank Exams

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Q:

If Tan θ = 9/40, then Sec θ = ?

A) 40/41 B) 9/41
C) 41/40 D) 41/9
 
Answer & Explanation Answer: C) 41/40

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