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 Quantitative Aptitude - Arithmetic Ability Questions

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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 1975
Q:

The cost of leveling a triangular piece of land whose sides are 72 m. 30 m and 78 in respectively at the rate of 20 paisa per square metre is:

A) ₹ 220 B) ₹ 200
C) ₹ 216 D) ₹ 210
 
Answer & Explanation Answer: C) ₹ 216

Explanation:
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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT

2 1975
Q:

In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM ?

 

A) 6 B) 4
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 1975
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

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

1 1975
Q:

If the product of two numbers is 3026 and their LCM is 89, then their HCF is :

A) 33 B) 34
C) 35 D) 29
 
Answer & Explanation Answer: B) 34

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

6 1972
Q:

16/3 =

A) 5.33 B) 6
C) 5.74 D) 5.68
 
Answer & Explanation Answer: A) 5.33

Explanation:

16/3 = 5.333.. = 5.3

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

2 1972
Q:

A man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km
C) 610 km D) 339 km
 
Answer & Explanation Answer: D) 339 km

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

0 1971
Q:

If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?

A) 18 B) 21
C) 27 D) 36
 
Answer & Explanation Answer: B) 21

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 1971