Civil Services Prep

Prelims 2026 · CSAT / Quantitative Aptitude · Question 10

X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?<br/>

  1. 11
  2. 12
  3. 13
  4. 14

Answer

14

A common landing mark must differ from 199 by a number divisible by 4, 6 and 5. So the step between common marks is LCM(4,6,5)=60. Common marks are 199, 259, 319, ... up to 979. Count = floor((1000-199)/60)+1 = floor(801/60)+1 = 13+1 = 14.

  1. X receives three coins of different denominations : 1, 2, 5, 10 and 20. If the total amount received by X is…
  2. For two distinct real numbers x and y, which of them is bigger? Statement I : x^2 Statement II : y
  3. If x and y are integers, then is x even? Statement I : x^2 y^2 is even. Statement II : 1 + x^2 + y^2 is odd.
  4. X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the…
  5. If x, y and z are integers, each greater than 1, then is x a prime number? Statement I : xy^2 = 116 Statement…
  6. Which of the following conclusions are valid? 1. Seven Sanskriti Angans, representing different regions of…