CDS QUANT NUMBER SYSTEM QUIZ 32

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Question 1:

Find the total number of even factors of 2400

Question 2:

If six digit number $5 x 2 y 6 z$ is divisible by 7,11 and 13, then the value of $(x-2 y+3 z)$ is:

Question 3:

If a positive integer $\mathrm{n}$ is divided by 7 , the remainder is 2 . Which of the number in the options yields a remainder of 0 when it is divided by 7 .

Question 4:

If the six digit number $x 35624$ and $1257 y 4$ are divisible by 11 and 72, respectively, then what is the value of $(5 x+2 y)$

Question 5:

The seven digit number $876 p 37 q$ is divisible by $225 .$ The sum of $\mathrm{p}$ and $\mathrm{q}$ ?

Question 6:

The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and denominator is decreased by 3 , the fraction becomes $\frac{2}{3}$, then find the fraction?

Question 7:

If $\mathrm{P}$ and $\mathrm{Q}$ are relatively prime number and $\mathrm{P}+\mathrm{Q}=12, \mathrm{P}<\mathrm{Q}$, how many pairs are possible for $(\mathrm{P}, \mathrm{Q}) ?$

Question 8:

If $a, b$ are rational number and $(a-1) \sqrt{2}+3=b \sqrt{2}+a$, then the value of $\frac{(a+b)}{b}$ is:

Question 9:

When 732 is divided by a positive integer $x$, the remainder is 12 . How many value of $x$ are there?

Question 10:

There are five bells which start ringing together at intervals of 3,6,9,12 and 15 seconds respectively. In 45 minutes, how many times will the bells ring simultaneously?