Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::?

: ZQV :: PGK : %

A solid metallic sphere of radius 12 cm is melted and recast into smaller spherical balls of 2 cm radius each. What will be the total surface area of all the spherical balls so obtained?

In the following series, only one letter-cluster is incorrect. Select the INCORRECT letter-cluster.

TDN DNX NXH XHR HRB ROL

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(288,8,6)

(210,7,5)

\( \text{The simplified value of } \frac{98^{6} \times 18^{14} \times 2^{15}} {98^{5} \times 18^{13} \times 2^{13}} \text{ is} \)

If a man bought 8 erasers for ₹4, and sold them at 5 erasers for ₹8, then the gain percentage is:

Refer to the following number-symbol series and answer the question that follows. Counting is to be done from left to right only. (Note: All numbers are single-digit numbers only)

(Left) 7 3 / 3 ^ $ 2 < * $ \ 8 ? + 3 @ 8 ^ @ \ < (Right)

How many such symbols are there each of which is immediately preceded by another symbol and also immediately followed by a number?

Find the mode (in ₹) for the following set of data of income of 40 people (rounded off to nearest integer).

Income (in ₹): 1000-1200 1200-1400 1400-1600 1600-1800 1800-2000

Number of people: 5 8 15 7 5

If a man travels at the rate of 12 kmph, he misses a train by 7 minutes. However, if he travels at the rate of 30 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.

The 7-digit number 71A510B is divisible by 3. What is the maximum value of (A + B)?