Question
Quantity-I: The total sum of all
perfect square numbers in the range from 1 to 1000. Quantity-II: The total sum of all perfect cube numbers in the range from 1 to 2500. In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.Solution
ATQ, Quantity I: Largest perfect square before 1000 = 312 = 961 So, required sum = sum of squares of all natural numbers up to 31. So, required sum = {n(n + 1)(2n + 1)} ÷ 6 = (31 × 32 × 63)/6 = 10416 So, Quantity I = 10416 Quantity II Largest perfect cube before 2500 = 133 = 2197 So, required sum = [n2 (n + 1)2 ]/4 = {(13)2 × (14)2 }/4 = 8281 So, Quantity II = 8281 So, Quantity I > Quantity II
In the word ‘FABRICATION’, first all the opposites of each letter are written, then all the letters formed are written in an alphabetical order ...
Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.
_ _ S _ ...
Select the combination of letter that when sequentially placed in the blanks of the given series will complete the series.
L _ T _ H L A _ C _...
Select the option that represents the letters that when placed from left to right in the blanks below will complete the letter series.
U F F...- Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.
_ _ r s _ p q _ ... Select the combination of numbers that when placed sequentially in the blanks of the given series will complete the series.
q r _ t _ v w _ r _ t...
What will be the next term in the series?
I, V, X, L, C, D, ?
How many such consonants are there in the above arrangement each of which is immediately followed by a consonant and also immediately preceded by a symbol?
- Select the combination of letters that when placed sequentially in the blanks of the given letter series will complete the series.
I _ P _ O V _ D ... How many such pairs of letters are there in the word “RESERVATION”, each of which has as many letters between them in the word (in both forward and ...
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