SSC CGL MATHS QUIZ-11

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Question 1:

Vinod borrowed an amount of Rs. 21900 on 10th January, 2021 . If the rate of simple interest is $8 \%$ annually, then find how much amount he will return on 13th June, 2021?

Question 2:

A packet of gentle baby soap was brought for Rs. 779. The shopkeeper allow a discount of $18 \%$ on marked price at the time of selling and still makes a profit of $12 \%$. Find the marked price of the packet of gentle baby soap.

Question 3:

Mark had to travel $220 \mathrm{~km}$ in $4.5$ hours, using a train that travels at the speed $60 \mathrm{~km} / \mathrm{h}$ or a bus that travels at the speed of $40 \mathrm{~km} / \mathrm{h}$, or any combination of the two modes of transport. For how long did he travel by bus?

Question 4:

Iyan can do a piece of work in 15 hours while Manas takes 21 hours to complete the same work. Starting with Iyan, the two work alternately for an hour until the job is done. Only during the last shift, till the completion of the work, a person of either of them can work for a period of less than one hour. How much time will they take to complete the work?

Question 5:

A and B entered into partnership A investing Rs. 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 4000 while B invested Rs. 4000 more. After 3 more months, C joins the business with a capital of Rs. 22000. The share of B exceeds that of C out of a total profit of Rs. 31,200 after one year by?

Question 6:

After 11 innings, the average score per innings of a batsman is 52 . After 13 innings, the average increased to 54 . If the batsman has scored 16 more runs from the previous innings in the 13 th innings, then how many runs did he score in the 12th innings?

Question 7:

Tarun spends 15% of his father’s income on tuition fees, 25% on room rent, and one-third of the remaining on food. He spends Rs. ___ on medicine. He saves Rs. 12600, which is 45% of the remaining amount after spending on the tuition fees, room rent and food. How much amount did he spend on medicine?

Question 8:

$\tan \left(\sin ^{-1} \frac{3}{5}+\cot ^{-1} \frac{3}{2}\right)=$

Question 9:

Let $P A B$ be a secant to a circle intersecting the circle at $A$ and $B$. Let $P T$ be the tangent segment. If $P A=9 \mathrm{~cm}$ and $P T=12 \mathrm{~cm}$, then what is $A B$ equal to?

Question 10:

A cone of diameter $14 \mathrm{~cm}$ and height $24 \mathrm{~cm}$ is placed at the top of a cube of edge $15 \mathrm{~cm}$. Find the surface area of the constructed figure.