UP SI MATHS QUIZ-17

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

If $x^{2}-5 \sqrt{2} x-1=0$, then what will be the value of $x^{3}-\frac{1}{x^{3}} ?$

The ratio between the number of males and females in a college is $21: 22$. If the number of males are increased by $20 \%$ and the number of females are increased by $30 \%$ then what will be the new ratio between the number of males and females in the college?

The average monthly expenditure of a family is 2,200 during first three months, 2,550 during next four months and 3,120 during last five months of the year. If the total savings during the year was ' 1,260 , what is the average monthly income?

An amount of Rs.80000 is borrowed at the rate of 15% for 1 year, if the rate of interest is 4 months, find the amount of compound interest.

An amount of $Rs. 1000$ is distributed among Tara, Tamanna, Tina in the ratio 4 $: 5: 6$. What is the difference between the in the amount of Tara and Tina?

Two men $X$ and $Y$ cover a distance of $21 \mathrm{~km}$ between $P$ and $Q$ in 3 and $4 \mathrm{~km}$ per hour respectively. On reaching $Q, Y$ comes back immediately and meets $X$ at $R$, what is the distance between P to R?

If 10 men or 20 boys can make 260 mats in 20 days. How many mats can 8 men and 4 boys make in 20 days?

Find the total surface area (in $\mathrm{m}^{2}$ ) of a cone, if its slant height is $32 \mathrm{~m}$ and diameter of its base is $48 \mathrm{~m}$.

$\left[\mathrm{Use} \pi=\frac{22}{7}\right]$