Question 41
[Q.16] The diagonal of a square is 10 sqrt(2) cm. What is its perimeter?
Detailed Solution
Side a = 10 cm. Perimeter = 4 * 10 = 40 cm.
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SSC IMD Scientific Assistant 2026 Full-Length Master Mock Test-2
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Question 42
[Q.17] A car travels a distance of 240 km at a speed of 60 km/h and returns at a speed of 40 km/h. What is the average speed for the whole journey?
Detailed Solution
Average speed for equal distances = 2xy/(x+y) = 2*60*40 / (60+40) = 4800 / 100 = 48 km/h.
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Question 43
[Q.18] Evaluate: $(256)^(0$.16) * $(256)^(0$.09)
Detailed Solution
$(256)^(0$.16 + 0.09) = $(256)^(0$.25) = $(256)^(1/4)$ = 4.
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Question 44
[Q.19] In a class of 50 students, 60% are boys. How many girls are there in the class?
Detailed Solution
Percentage of girls = 40%. Number of girls = 40% of 50 = 20.
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Question 45
[Q.20] Find the roots of the quadratic equation $x^2 - 5x + 6$ = 0.
Detailed Solution
(x - 2)(x - 3) = 0 => x = 2, 3.
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