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CTET Maths MCQ - Algebra

41 Ram and Shyam are moving in the directions opposite to each other. The speeds of both persons are 10 km/h and 6 km/h, respectively. Find the speeds of Ram with respect to Shyam.

Speed of Ram with respect to Shyam is (10 + 6) = 16 km/h

42 Aashutosh can cover a certain distance in 84 min by covering 2/3rd of distance at 4 km/h and the rest at 5 km/h. Find the total distance.

43 Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2: 7. Find the ratio of time taken by A and B to reach from X to Y.

Let the speed of train A and B be 2x
and 7x respectively.
∴Speed = Distance/Time
⇒Speed ∝ 1/Time [distance = constant]
∴ Required ratio, T_A : T_B = S_B : S_A
=7:2

44 Rani coveres a certain distance by car driving at 5 km/h and returns the starting point riding on a scooter at 2 km/h. Find her average speed for the whole journey.

A
B
C
D

Let the distance on one side be 1 km.
Average speed = 2xy/(x+y)
=(2 x 5 x 2)/(5+2) = 20/7 =

45 The probability of drawing a red card from a deck of playing cards is

Number of red cards = 26. Total number of cards = 52. ∴ Required probability = 26/52 = 1/2

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Question:

Find the SI on 16000 Rs for 3 yr 3 months at per annum.

Answer:

Given, P = 16000 Rs, T = 3 yr 3 months = =13/4 yr R= = 9/2 %. Simple interest = PRT/100 = (16000 x 9 x 13)/(100…

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