CTET Maths - Algebra

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11. A bike covers a distance of 240 km in 5h. Again, it covers an another distance of 260 km in 5 h . Find the average speed of the bike.

  • Option : A
  • Explanation : Average speed = Total distance covered / Total time taken. = (240 + 260) / (5+5) = 500/10 = 50 km/h
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12. Income of x is greater than income
of y by 25%. Income of y is how
many per cent lesser than that of x2 ?

  • Option : C
  • Explanation : Here a= 25%. Required percentage = [a / (100+a)] x 100% . = (25/100) x 100 % = 20%
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13. The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?

  • Option : A
  • Explanation : Let the number be x.
    According to the question,
    (78 - 59)%of x = 323 => (19 × x)/100 = 323.
    => x = (323 x 100) / 19 = 1700.
    => 62% of 1700 = (62 x 1700) / 100 = 1054
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14. Find the value of x% of y + y% of x.

  • Option : B
  • Explanation : x% of y + y% of x
    ⇒ (x/100) × y+ (y/100) × x = 2 × (xy/100) = 2% of xy
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15. 8% of A is equal to 4% of B, then 20% of A is

  • Option : A
  • Explanation : (8/100) x A = (4/100) x B ⇒ (2/100)A = (1/100)B ⇒ (20/100)A = (10/100)B ⇒ 20% of A = 10% of B
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