number system Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Answer: (e)

P + T = 858 .... (i)

(Because both have one head)

2P + 4T = 1746 .... (ii)

(Because parrot has two legs and tiger has four legs)

Multiply by 2 in Eq. (i) and subtract

∴ T = 15; P = 843.

Answer: (a)

${1365 - 15}/5 = 270$

Answer: (c)

Let's divide the first 100 natural numbers in five sets of 20 numbers each:

{1, 2, 3….20}, {21, 22, 23….40}, ......{81, 82, 83……100}.

If we pick the first ten numbers from each set we will not get any pair of two numbers whose difference is 10.

However, if we pick just one more number from any of the sets, it would have a difference of 10 with one of the numbers which has already been picked.

So the answer is 10 × 5 + 1 = 51.

Answer: (d)

Here 247 is divisible by 13 and 203 is also divisible by 7.

So, 247 and 203 are not prime number.

Answer: (d)

Let the unit and ten places of two digit number be x and y respectively.

Then number will be 10y + x

According to question

2 (10y + x) = 9 (10x + y) ...(i)

and x + y = 9 ...(ii)

From equation (i) and (ii),we get

x = 1 and y = 8

Hence number = 81