State Exam — Quantitative Aptitude
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Showing 251–260 of 1,106 questions
Q.251
Easy
Area of rectangle: length 12m, breadth 8m?
Correct Answer: B. 96 sq m
Explanation:
Area=12×8=96 sq m.
Q.253
Easy
A man earns Rs 15000/month and spends 60%. Savings?
Correct Answer: B. Rs 6000
Explanation:
Savings=40% of 15000=Rs 6000.
Q.254
Medium
How many ways can 5 books be arranged on a shelf?
Correct Answer: B. 120
Explanation:
5!=120.
Q.255
Easy
Numbers
What is the HCF of 48 and 64?
Correct Answer: B. 16
Explanation:
Find HCF of 48 and 64 using Euclidean algorithm: 64 = 48 × 1 + 16; 48 = 16 × 3 + 0. Therefore, HCF = 16.
Q.256
Easy
Numbers
Find the LCM of 12 and 18.
Correct Answer: B. 36
Explanation:
12 = 2² × 3; 18 = 2 × 3². LCM = 2² × 3² = 4 × 9 = 36.
Q.257
Easy
Numbers
Which of the following is a prime number?
Correct Answer: C. 61
Explanation:
61 is only divisible by 1 and itself. 51 = 3 × 17, 57 = 3 × 19, 63 = 9 × 7 are composite numbers.
Q.258
Easy
Numbers
What is the number of divisors of 72?
Correct Answer: C. 12
Explanation:
72 = 2³ × 3². Number of divisors = (3+1)(2+1) = 4 × 3 = 12.
Q.259
Medium
Numbers
If a number is divisible by both 9 and 11, it must be divisible by which of the following?
Correct Answer: A. 99
Explanation:
Since 9 and 11 are coprime (HCF = 1), the number must be divisible by 9 × 11 = 99.
Q.260
Medium
Numbers
The average of five consecutive even numbers is 24. What is the largest number?
Correct Answer: B. 28
Explanation:
Let numbers be x, x+2, x+4, x+6, x+8. Sum = 5x + 20 = 120, so x = 20. Largest = 20 + 8 = 28.