UP POLICE CONSTABLE QUANT QUIZ

What is the value of $x$, if $25 \%$ of $480+30 \%$ of $500+x \%$ of $90=35 \%$ of $900 ?$

If the number $A 9257 B 684$ is divisible by 11 , then what is the least value of $A-B$ ?

Study the following graph and answer the question that follows.

Marks scored by five students A, B, C, D and E in three subjects (Math, English and Physics). Total marks for each subject are $100 .$

What is the percentage marks obtained by E in all three subjects together? (Assuming maximum marks for each subject are 100.)

If $(a+b+c)=0$ and $(a b c)=12$, then what is the value of $\left(a^{3}+b^{3}+c^{3}\right) ?$

In a general store, an item with MRP of Rs. 35,600 is on the discount counter with a special price of Rs. 34,888. What is the percentage of discount given for that item?

The compound interest (in Rs., to the nearest integer) on Rs. 8,950 for 2 years at the rate of $9 \%$ per annum, compounded annually, is:

Varun and Syan can do a work in 3 days, Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?

A's salary increases in the ratio $8: 11$. If his new salary is Rs. 33,000 , then what was his original salary (in Rs.)?

What is the value of $\sin ^{2} 60+\tan ^{2} 45+\sec ^{2} 45-\operatorname{cosec}^{2} 30 ?$

What is the area (in $\mathrm{m}^{2}$, up to 1 place of decimal) of an equilateral triangular field of side $8.5 \mathrm{~m}$ ?