Unit's DigitCAT Previous-Year Questions

2 previous-year questions on Unit's Digit from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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2 questions

Unit's Digit · CAT PYQs

CAT 1999 · QA
Q1.

Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2 = ccb > 300, then the value of b is

CAT 1993 · QA
Passage / Data

Directions for next 3 questions:

Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.

Q2.

Let x, y and z be distinct positive integers satisfying x < y < z and x + y + z = k. What is the smallest value of K that does not determine x, y, z uniquely?