SSC CGL MATHS QUIZ-44

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Question 1:

In an election A received $11 \%$ of the votes and $B$ received 145680 votes. $69 \%$ of the candidates didn't cast their vote to any of the party. Find the total percentage of votes that $B$ received.

Question 2:

From a solid cylindrical wooden block of height. $20 \mathrm{~cm}$ and radius $15 \mathrm{~cm}$, a conical cavity of the same height and same radius is taken out. What is the total surface area $\left(\right.$ in $\left.\mathrm{cm}^{2}\right)$ of the remaining solid?

Question 3:

In $\triangle \mathrm{ABC}, \mathrm{D}$ and $\mathrm{E}$ are the points on sides $\mathbf{A C}$ and $\mathbf{B C}$, respectively such that $\mathrm{DE}|| \mathrm{AB}$ . F is a point on CE such that $\mathrm{DF}|| \mathrm{AE}$ . If CE $=6 \mathrm{~cm}$, and CF $=2.5 \mathrm{~cm}$, then $\mathrm{BC}$ is equal to.

Question 4:

A salesman sold a watch at a loss of 15%. If the selling price had been increased by ₹ 2250, there would have been a gain of 10 %. What was the cost price of the watch?


Question 5:

If $(a-b)=3,(b-c)=5$ and $(c-a)=1$, then the $\frac{a^{3}+b^{3}+c^{3}-3 a b c}{a+b+c}$

Question 6:

If working 9 hours a day 21 men can do a work in 16 days, then in how many days can 14 women can do the same work working 6 hours day, if it is given that efficiency of man is $\frac{1}{3}$ rd of the efficiency of a woman.

Question 7:

A thief noticed a policeman $200 \mathrm{~m}$ far and started running in opposite direction. After 4 mins police came to know that thief is running and police started chasing with a speed of $15 \mathrm{~m} / \mathrm{sec}$. If speed of thief is $12 \mathrm{~m} / \mathrm{sec}$ then after how much time police will catch thief.

Question 8:

In a 20 over match, the required run rate to win is $7.2$. If the run rate is 6 at the end of the 15th over, the required run rate to win the match is

Question 9:

The numerator of a fraction is 6 more than the denominator. When 5 is added to the numerator and 1 is subtracted from the denominator, the fraction becomes $3 .$ When the original fraction is divided by $\frac{4}{3}$, Find out the sum of the numerator and denominator:

Question 10:

If $\tan \theta=\frac{3}{\sqrt{13}}, 0<\theta<90^{\circ}$, then the value of $\frac{4 \operatorname{cosec}^{2} \theta-5 \sec ^{2} \theta}{5 \operatorname{cosec}^{2} \theta+4 \sec ^{2} \theta}$ is equal to: