Question
Select the option that is related to the fourth term in
the same way as the second term is related to first term and the sixth term is related to the ifth term. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 - Operations on 13 such as adding/ subtracting/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) 18: 361 :: ? :196 :: 23: 576Solution
The logic followed here is: 2nd number = (1st number + 1)² '18: 361’ → (18 + 1)² = 19² = 361 '23: 576’ → (23 + 1)² = 24² = 576 '?: 196’ → (? + 1)² = 196 → (? + 1) → √196 → (? + 1) = 14 → ? = 14 – 1 = 13.
If x = r sin A cos B, y = r sin A sin B and z = r cos A, then find x² + y² + z².
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