Download App

Playing With Numbers — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPlaying With Numbers1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer in the following:
The smallest number which when diminished by $3$ is divisible by $14, 28, 36$ and $45,$ is:
  • A
    $1257$
  • B
    $1260$
  • ✓
    $1263$
  • D
    None of these.
✓

Answer

Correct option: C.
$1263$
The smallest number that is exactly divisible by $14, 28, 36$ and $45$ will be their $LCM.$
So, the required number will be the $LCM$ plus $3.$
$\begin{array}{c|c}2&11,28,36,45\\\hline2&11,14,18,45\\\hline3&11,7,9,45\\\hline3&11,7,3,15\\\hline5&11,7,1,5\\\hline7&11,7,1,1\\\hline11&11,1,1,1\\\hline&1,1,1,1\end{array}$
$LCM$ of the three numbers $= 2^2 \times 3^2 \times 5 \times 7 \times 11$
$= 13860$
$\therefore $ Required number $= 13860 + 3 = 13863$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Playing With Numbers→Playing With Numbers — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

The length and breadth of a rectangle are 57 cm and 43 cm respectively. Its perimeter is:
→
If $O$ represents $5$ eggs then how many eggs does $OOOO$ represent?
→
The product of the place values of two $2’s$ in $428721$ is:
→
Which of the following numbers is divisible by $11$?
→
Which of the following is a palindromic number?
→
The largest number, which always divides the sum of any pair of consecutive odd numbers is
→
$1$ lakh $=$ how many ten thousand$?$
→
Which one of the following is not equivalent to $0.000000375?$
→
Amulya is $x$ years of age now. $5$ years ago her age was:
→
An integer with positive sign $(+)$ is always greater than:
→