CGL MAINS SCORE BOOSTER QUANT QUIZ-14

$\mathrm{A}$ and $\mathrm{B}$ together can complete a work in 3 days. They start working together but after 2 days $\mathrm{B}$ left the work. If the work is completed after 2 more days, $\mathrm{B}$ alone could do the work in

Area a of a isosceles trapezium is $312 \mathrm{~cm}^{2}$. If the parallel sides are in the ratio $8: 5$ and  distance between them is $\left(\frac{3}{13}\right)$ th of the sum of its parallel sides, then the length of its diagonal (cm) is 

The height of a cone is $45 \mathrm{~cm}$ and perimeter of its base is $176 \mathrm{~cm}$. What is the curved surface area of the cone? (take $\pi=\frac{22}{7}$ )

The ratio of amount of work done by $(x+5)$ workers in $(x-2)$ days to that of $(x+3)$ workers in $(x-2)$ days is $6: 5$, then find $x$.

Cost of 8 Switches, 5 Bulbs and 3 Holders is Rs. 187, cost of 9 Switches, 6 Bulbs and 5 Holders is Rs. 236 and cost of 16 Switches, 11 Bulbs and 3 Holders is Rs.314, then find the cost of 51 switches 34 bulbs and 17 holders.

A batsman has a certain average of runs for 16 innings. In the 17 th innings he scored 103 runs thereby increasing his average by $2.75$ runs. What will be his average after17th innings?

Find the value of $\cot \frac{\pi}{20} \cot \frac{3 \pi}{20} \cot \frac{5 \pi}{20} \cot \frac{7 \pi}{20} \cot \frac{9 \pi}{20}$ :

A boat travels in the direction of the current from point P to Q and then returns against the current towards P and stop at point R. Distance between Q and R is $66 \frac{2}{3} \%$ of the distance between P and Q and boat takes $11 \frac{2}{3}$ hours to cover total distance. If distance between P and Q is 60 Km and Speed of current is 3 km/hr, then find speed (in km/hr) of boat in still water ?

The graphs of the equation $2 x+ y-6=0$ and $3x+2y-10=0$ Intersect at $\mathrm{P}(\mathrm{a}, \mathrm{b})$. What is the value of $\frac{a^{2}+b^{2}-a b}{a^{2}-b^{2}+a b}$ ?

A shopkeeper allows a discount of $25 \%$ on the marked price of an article. The price (in Rs.) that must be marked on the article, which cost him Rs.1147.5 to make a profit of $15 \%$ would be: