SSC

If the ratio of the areas of two similar triangles is 25 : 144, the ratio of their corresponding sides is: Optionsa) 12 : 5b) 5 : 12c) 25 : 12d) 5 : 144 Solution As per questionLet the two triangles be $ \Delta ABC $ and $ \Delta PQR $It is given that $ […]

Hour Distance Travelled (in Km) X Distance Travelled (in Km) Y 1St 25 30 2nd 35 45 3rd 25 40 4th 20 30 5th 25 20 6th 20 15 Y’s average speed (km/hour) during the first five hours is: Optionsa) 31b) 34c) 32d) 33 Solution As per questionSum of first five hours speed = 30

Find the area of a square, one of whose diagonals is 4.8 m long. Optionsa) 12.5 m2b) 10.5 m2c) 9.5 m2d) 11.52 m2 Solution As per questionLet the one side of square is aDiagonals (d) = 4.8 mFormula : d = $ \sqrt 2a $4.8 = $ \sqrt 2a $a = $ \frac {4.8}{ \sqrt

Simplify $ \frac{(4.2)^3 – (1.2)^3}{(4.2)^2 + 5.04 + (1.2)^2}$ Optionsa) 2b) 3c) 5d) 1 Solution Let a = 4.2b = 1.2ab = 5.04Formula :a3 – b3 = (a-b) (a2 +ab + b2)$ \frac{(a-b)(a^2+ab+b^2)}{a^2+ab+b^2}$ = (a-b)(a-b) = (4.2 – 1.2) = 3 Ans: 3

Find the average of the prime numbers lying between 50 and 76. Optionsa) 64b) 60c) 66d) 62 Solution As per questionThe prime numbers lying between 50 and 76 = 51 , 59 , 61 , 67 , 71 , 73The average of the prime numbers lying = 53+59+61+67+71+73/6 = 384/6 = 64 Ans: a) 64

The salary of a worker is first increased by 25%, then it is decreased by 12%. The percentage change in his salary is: Optionsa) 10% decreaseb) 10% increasec) 13% increased) 13% decrease Solution As per questionLet salary = 100After increased = 125decreased in 12% = $ 125 – \frac{125 \times 12}{100}$ = 15125 – 15