Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The following questions given below consist of a Statement - I and Statement - II Type questions. Use the following Key to choose the appropriate answer.
A
If both Statement - I and Statement - II are true, and Statement - II is the correct explanation of Statement - I.
B
If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement - I.
C
If Statement - I is true but Statement - II is false.
D
If Statement - I is false but Statement - II is true. (i) Statement - I : If A and G be the A.M and G.M. between two positive real numbers a and b then a, b are given by A ± 
. Statement - II : Using x2 – (a + b)x + ab = 0 ; where a + b = 2A, ab = G2, we calculate x. (ii) Statement - I : The sum of all numbers of the form n3 which lie between 100 and 10,000 is 53261. Statement - II : If = 
= 
then a, b, c are in G.P. (iii) Statement - I : The number of terms of the A.P. 3, 7, 11, 15, ..... to be taken so that the sum is 465 is 15. Statement -II: The sum of the integers from 1 to 100 which are not divisible by 3 or 5 is 2632.
. Statement - II : Using x2 – (a + b)x + ab = 0 ; where a + b = 2A, ab = G2, we calculate x. (ii) Statement - I : The sum of all numbers of the form n3 which lie between 100 and 10,000 is 53261. Statement - II : If = = then a, b, c are in G.P. (iii) Statement - I : The number of terms of the A.P. 3, 7, 11, 15, ..... to be taken so that the sum is 465 is 15. Statement -II: The sum of the integers from 1 to 100 which are not divisible by 3 or 5 is 2632.
Text Solution
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CHECK THE SOLUTION.
Ans.
(i)
Sol.
(ii)
Sol.
(iii)
Sol.
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