UP POLICE CONSTABLE QUANT QUIZ

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Question 1:

Find the equation of the line whose end point are $(3,2)$ and $(4,5)$.

Question 2:

Three persons A, B and C, whose salaries altogether amount to Rs. 88000 , spend 75 , 80 and 85 percent of their salary respectively. If their savings are in the ratio ratio $15: 16: 12$, then find the difference between the salary of $\mathrm{A}$ and $\mathrm{C}$?

तीन व्यक्ति A, B और C, जिनका वेतन कुल मिलाकर रु. 88000, अपने वेतन का क्रमशः 75, 80 और 85 प्रतिशत खर्च करते हैं। यदि उनकी बचत $15:16:12$ के अनुपात में है, तो $\mathrm{A}$ और $\mathrm{C}$ के वेतन के बीच अंतर ज्ञात कीजिए?

Question 3:

If $A=\left\{x: x^{2}-7 x+12=0\right\}$ $B=\{4,6\}$ and $C=\{6,9\}$ then $A \times(B \cap C)$ is:

Question 4:

In a triangle ABC,  $\cos \mathrm{B}=\frac{\sin A}{2 \sin C}$. then $\triangle A B C$ is

Question 5:

A, B, and C can do a piece of work in 12, 15 and 20 days respectively, they start working together but $\mathrm{C}$ leave after working for 3 days and $\mathrm{B}, 4$ days before the completion of the work. In how many days the work was finished.

Question 6:

Monthly incomes of A and B are Rs. 52800 and Rs. 58400 respectively. A spends 27.5%, 12.5% and 36% of his total income in food, rent and shopping respectively while B spends 21.5%, 17.5% and 45% of his total income in food, rent and shopping respectively and rest of the amount are saved by both of them. Find the sum of the amount saved by A and B.

Question 7:

How to change $14 \frac{2}{7} \%$ into fraction ?

Question 8:

20 men take 20 days to make 400 toys while they work 6 hours a day, then in how many days will 15 men make 600 toys if they work 8 hours a day?

Question 9:

Solve the following :-

$4^{216} \div 4^{125} \div 4^{49} \div 4^{25} \div 4^{14}$

Question 10:

The value of $x=\sqrt{12+\sqrt{12+\sqrt{12+\cdots \ldots \infty}}}$ is :