SSC CGL MOST PROBABLE - NUMBER SYSTEM QUIZ- 4

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Question 1:

When positive numbers $a$, $b$ and $c$ are divided by 13 , the remainders are 9,7 and 10 , respectively. What will be the remainder when $(a-2 b+5 c)$ is divided by 13 ?

Question 2:

If $a^{4}+a^{2} b^{2}+b^{4}=8$ and $a^{2}+b^{2}+a b=4$, find $a b=?$

Question 3:

In a school $\frac{3}{8}$ of the number of students are girls and the rest are boys. One third of the number of boys are below 10 years and $\frac{2}{3}$ of the number of girls are also below 10 years. If the number of students of age 10 or more years is 260 , then the number of girls in the school is.

Question 4:

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 5:

If the 6-digit numbers $x 35624$ and $1257 y 4$ are divisible by 11 and 72 , respectively, then what is the value of $(5 x-2 y)$ ?

Question 6:

Find the unit digit of $(217)^{413} \times(819)^{547} \times$ $(414)^{624} \times(342)^{860} ?$

Question 7:

The sum of the reciprocals of two alternate natural numbers is $\frac{7}{24}$. What is the sum of the numbers?

Question 8:

Find the No. of zeroes at the end of $2^{7} \times 3^{5} \times 5^{8} \times 7^{5} \times 8^{3} \times 10^{5}$

Question 9:

If $4 \mathrm{M} 370942672$ is divided by 11 , where $\mathrm{M}$ is a single digit integer, then the value of $M$ is:

Question 10:

When a certain number is divided by 75, the remainder is 56, then on dividing it by 15 the remainder is x, then what is the value of $\sqrt{5x+2}$?