Home Rankers PYQ Blogs Pricing About Contact
Home > PYQ Blogs > NIMCET 2022 Paper > Question 90

Question 90

Logical Reasoning Aptitude Easy

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

(A) 127
(B) 235
(C) 123
(D) 305
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

To find the greatest number that divides 1657 and 2037, leaving remainders 6 and 5 respectively, subtract the remainders:

  • 1657 - 6 = 1651
  • 2037 - 5 = 2032

The greatest number is the HCF of 1651 and 2032. Using the Euclidean algorithm:

  • 2032 = 1651 × 1 + 381
  • 1651 = 381 × 4 + 127
  • 381 = 127 × 3 + 0

HCF is 127.

Answer: (A) 127

← Previous Question Our Rankers Next Question →

Practice Similar Aptitude Questions

Reinforce your conceptual grasp with related questions from NIMCET 2022:

Q51 Today is Wednesday. What would be the day after 61 days?
Solve →
Q52 Identify the fifth number in the series: 122, 144, 166, 188, ?
Solve →
Q53 Which of the following is the odd one from the given alternatives?
Solve →
Q54 Fill in the blank: HEC, JGE, LIG, NKI,
Solve →
Q55 Choose the word opposite in meaning to the given word: MITIGATE
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →