CTET Maths - Algebra

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46. The total age of Ravi and Ali is 10 yr more than the total age of Ali and John. John is how many years younger than Ravi?

  • Option : A
  • Explanation : According to question, R + A =10 + (A + j)=> R =10 + J. So, it is clear that John is 10 yr younger than Ravi.
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47. 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

  • Option : D
  • Explanation : 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
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48. The set of all real numbers under the usual multiplication operation is not a group since

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

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

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