Which of the following has most number of divisors?
Correct answer: C. 176
- A. 99
- B. 101
- C. 176
- D. 182
Explanation
For n = p^a x q^b, the number of divisors is (a + 1)(b + 1). Thus 99 = 3^2 x 11 has 6 divisors, 101 has 2, 176 = 2^4 x 11 has 10, and 182 = 2 x 7 x 13 has 8. Therefore 176 has the most divisors. The likely mistake is 182 because it has three prime factors, but their exponents are all only 1.
Last updated
About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.