SSC CGL QUANT QUIZ-7

Two pipes A & B individually fill an empty tank in 15 hours and 45 hours respectively. pipe  C can empty the same tank in 30 hours. If all three pipes opened together in the tank, then in how many hours the tank will be filled completely?

12 men or 24 boys can do a work in 20 days. In how many days, will 24 men and 12 boys together complete the same work?

$5 \operatorname{sin} \theta-4 \cos \theta=0^{\circ}$ then the value of $\frac{5 \operatorname{Sin} \theta-2 \operatorname{Cos} \theta}{5 \operatorname{Sin} \theta+3 \operatorname{Cos} \theta}$ is -

If $\frac{\operatorname{Sec} \theta}{\operatorname{Cosec} \theta}+\frac{\operatorname{Cos} \theta}{\operatorname{Sin} \theta}=2$, then find the value of $\operatorname{Sin}^{2} \theta+\operatorname{Sec}^{2} \theta$

If $\mathrm{a}^{2}+\frac{1}{a^{2}}=18$, then find the value of $\mathrm{a}^{3}+\frac{1}{a^{3}}$

$(136 \div 17)+(17 \times 13)-(103-85) \times(62+145) \div 23=?$

The marked price of an article is ₹ 300 . It is sold by giving a discount of 20 % on the marked price. If he still gains the profit of 20 %, then what is the cost price of the article?

In prepaid card of same price, company A gives $19 \%$ less talk time than company B. On post paid card of same price company A and B respectively gives $11 \frac{1}{9} \%$ and $10 \%$ less talk time respectively than their prepaid card. Find how much $\%$ less talk time will be given by A than B on post paid card?

If 21 is added to a number, it becomes 7 less than thrice its number. Accordingly, what is that number?

Subtracting a fraction from $\frac{1}{5}$ gives $\frac{1}{12}$. What is the fraction?