Question 31
[Q.6] Find the average of the first 10 natural numbers.
Detailed Solution
Sum = n(n+1)/2 = 10*11/2 = 55. Average = 55 / 10 = 5.5.
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SSC IMD Scientific Assistant 2026 Full-Length Master Mock Test-2
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Question 32
[Q.7] Solve for x: 3x + 5 = 20.
Detailed Solution
3x = 15 => x = 5.
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Question 33
[Q.8] The total surface area of a cube is 150 $cm^2$. Find the length of its side.
Detailed Solution
TSA = 6 $a^2$ = 150 => $a^2$ = 25 => a = 5 cm.
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Question 34
[Q.9] The mean of 5 observations is 12. If one observation 20 is excluded, what is the new mean?
Detailed Solution
Sum of 5 observations = 5 * 12 = 60. Exclude 20 => new sum = 40 for 4 observations. New mean = 40 / 4 = 10.
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Question 35
[Q.10] If $\sin(theta) = 3/5, what$ is the value of $\cos(theta)$ for an acute angle theta?
Detailed Solution
$\cos(theta) = sqrt(1 - sin^2(theta)) = sqrt(1 - 9/25) = sqrt(16/25) = 4/5$.
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