SSC CGL MATHS QUIZ-49

If the simple interest on a certain sum of money borrowed for 4 years at $8.5 \%$ per annum exceeds the simple interest on the same sum for 3 years at $10.5 \%$ per annum by Rs. 1000 , then the sum borrowed is:

The batting average of a cricket player for 64 innings is 62 runs. His highest score exceeds his lowest score by 180 runs. Excluding these two innings, the average of remaining innings becomes 60 runs. His highest score was

A shopkeeper increases the price of an article by $30 \%$ and then sells it at a $22 \%$ discount on the marked price. If the selling price of the article is Rs. 2464 then what is the cost price (nearest to the nearest value) of the article?

Three pipes $A, B$ and $C$ can fill a cistern in 8 hours, 12 hours and 16 hours respectively. First A was opened. After $2 \frac{1}{2}$ hours, B was opened and after $4 \frac{1}{2}$ hours from the start of $A, C$ was also opened. Find the time (in hours) in which the cistern is just full.

Find the value $\frac{\tan 69^{\circ}+\tan 66^{\circ}}{1-\tan 69^{\circ} \tan66^{\circ}}$

The tangents drawn at $\mathrm{P}$ and $\mathrm{Q}$ on the circumference of a circle interesect at $\mathrm{A}$. If $\angle \mathrm{PAQ}=68^{\circ}$, then the measure of the $\angle \mathrm{APQ}$ is:

A man’s annual income has increased by Rs.5 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs.10,000 more income tax. What is his increased income (in Rs. Lakhs)?

A person covers half of his journey by car at the Speed of $80 \mathrm{~km} / \mathrm{h}$. He covers half of the remaining journey by bus at the speed of $40 \mathrm{~km} / \mathrm{h}$ and rest by cycle at the speed of $10 \mathrm{~km} / \mathrm{h}$. Find his average speed during the whole journey.

A wire when bent in the form of a square enclosed a region of area $112.36 \mathrm{~cm}^{2}$. If the same wire is bent into the form of a circle, then the area of the circle is.