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CTET Maths MCQ - Algebra

51 The cash-box of Ruby contains same number of coins of 50 paise and 1 rupee only. On drawing the one-third coins of 50 paise and one-fourth coins of 1 rupee, the balance of cash-box is 26 Rs. The number of coins initially in cash-box is

Let the number of coins of
each type be x
2x/3 x 50/100 + (3x/4) x l = 26
⇒x/3 + 3x/4 = 26
⇒ 4x+9x=26 × I2
⇒ 13x = 26 × 12 ⇒ x = 24

52 The set of all real numbers under the usual multiplication operation is not a group since

53 If (G, .) is a group such that (ab)- 1 = a-1b-1, ∀ a, b ∈ G, then G is a/an

54 If (G, .) is a group such that a2 = e, ∀a ∈ G, then G is

55 The inverse of - i in the multiplicative group, {1, - 1, i , - i} is

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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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