UP POLICE RADIO OPERATOR QUANT QUIZ

The square root of which of the following will be an irrational number?

The effective rate of interest, which corresponds to the nominal rate of 6% p.a., paid half-yearly, will be:

$A$ and B, working together, can complete a work in d days. Working alone, $A$ takes $(8+$ d) days and $B$ takes $(18+$ d) days to complete the same work, A works for 4 days. The remaining work will be completed by B alone, in:

A car covers $15 \mathrm{~km}, 20 \mathrm{~km}, 30 \mathrm{~km}, 12 \mathrm{~km}$ at speed of $20 \mathrm{~km} / \mathrm{h}, 30 \mathrm{~km} / \mathrm{h}, 40 \mathrm{~km} / \mathrm{h}$ and $30 \mathrm{~km} / \mathrm{h}$ respectively . The average speed of the car for the total journey is :

50 boxes of equal weight are loaded into a carry van. 5 other boxes with a weight of 105 kg each were subsequently added, making the average weight of all 55 boxes now 95 kg. Accordingly, what was the weight of each of the 50 boxes that were delivered earlier?

A scheme invests Rs. 1000 at simple interest rate of $5 \%$ on the condition that interest will be added to the principal after 10 yr. In how many years will it amount to Rs.2000?

Sunil bought some articles at 8 for Rs.6 and sold them at 12 for Rs.10. His percentage loss or gain is:

What is the value of given solution?

$\frac{1}{21}+\frac{1}{77}+\frac{1}{165}+\cdots \cdots+\frac{1}{896}$

The sum of a fraction and its reciprocal is $2 \frac{25}{66}$. The greater of the two numbers is the number.

$\left(\frac{55}{11}\right)+(18-6) \times 9=?$