SSC CGL MATHS QUIZ-13

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Question 1:

In a circle with centre $\mathrm{O}, \mathrm{AC}$ and $\mathrm{BD}$ are two chords. $\mathrm{AC}$ and $\mathrm{BD}$ meet at $\mathrm{E}$, when produced. If $\mathrm{AB}$ is a diameter and $\angle A E B=42^{\circ}$, then the measure of $\angle D O C$ is:

Question 2:

A Rice mill owner buys paddy at Rs. $2400 /$ quintal. There is $20 \%$ wastage during process of making rice from paddy. If the owner wants to earn a profit of $12 \%$ then at what price (Rs./quintal) should he sell the rice including $5 \%$ tax on selling price? 

Question 3:

The product of two numbers is 4107 . If the .H.C.F. of the numbers is 37 , the greater number is

Question 4:

Due to 20% reduction in the price of wheat per kg, Ram is able to buy 5 kg more for Rs. 800. What is the original price (in Rs.) of wheat per kg?

Question 5:

A train runs first $75 \mathrm{~km}$ at a certain uniform speed and next $90 \mathrm{~km}$ at an average speed of $10 \mathrm{~km} / \mathrm{h}$ more than the normal speed. If it takes 3 hours to complete the journey, then how much time will the train take to cover $300 \mathrm{~km}$ with normal speed?

Question 6:

$A$ and $B$ together can do a piece of work in 10 days, $B$ and $C$ together can do the same work in 15 days, while $C$ and $A$ together can do the same work in 12 days. If all three of them work together, in how many days will it be finished?

Question 7:

Kritika lends ₹ 64000 to Nidhi for a year at $25 \%$ interest per annum, compounded half yearly. Find the interest that has to be paid by Nidhi.

Question 8:

In a $\triangle A B C$, the bisectors of $\angle B$ and $\angle C$ meet at $O$. If $\angle B O C=142^{\circ}$, then the measure of $\angle A$ is:

Question 9:

In the figure, $O$ is the centre of a circle of radius $29 \mathrm{~cm}, O P \perp A B, O Q \perp C D$ and $A B$ is parallel $C D$. If $A B=40$ and $C D=42 \mathrm{~cm}$, then the length of $P Q$ is?

Question 10:

The measure of a bricks is $20 \mathrm{~cm} \times 12 \mathrm{~cm} \mathrm{} \times 8 \mathrm{~cm}$ . How many bricks are needed to build a wall $16.8 \mathrm{~m}$ high, $2.5 \mathrm{~m}$ wide and $12 \mathrm{~cm}$ thick?