CTET Maths - Algebra

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1. If A,B, C and D are four numbers such that A:B = 2: 3, B:C =4: 5, C:D = 5:8, then A: D is equal to

  • Option : A
  • Explanation : Given, A/B= 2/3 , B/C = 4/5 , C/D = 5/8 A/D = A/B × B/C × C/D = 2/3 × 4/5 × 5/8 = 1/3
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2. Two sums of money are proportional to 8 : 13. If the first sum be 48 INR, then the addition of two sums are

  • Option : D
  • Explanation : Let the addition of two sums be x . First sum = 48 ∴ 8/ (8+13) × x = 48 ⇒ (8/21) x = 48 ⇒ x = 126 INR
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3. The correct ascending order of magnitude, if the ratios 1 : 2 , 2 : 5 and 3: 4 is

  • Option : A
  • Explanation : Given, ratios are 1/2, 2/5 and 3/4. ∴ LCM(2,5, 4) = 20 ⇒ 1/2 = 1/2 × 10/10 = 10/20, 2/5 = 2/5 × 4/4 = 8/20 and 3/4 = 3/4 × 5/5 = 15/20. Clearly, 8/20<10/20<15/20 =2/5<1/2<3/4. so, 2:5<1:2<3:4
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4. If a/b = b/c = c/d, then (b3 + c3 + d3 ) / (a3 + b3 + c3 ) will be equal to

  • Option : D
  • Explanation : Let a/b = b/c = c/d =k.
    ⇒ a=bk=ck2=dk3, b=dk2 and c=dk.
    (b3 + c3 + d3 ) / (a3 + b3 + c3 ) = [(dk2)3 + (dk)3 + d3 ]/ [(dk3)3  + (dk2)3 + (dk)3 ]
    =d3  [ K6 + K3 +1] / d3 [K9 + K6 + K3 ]
    =[ K6 + K3 +1]/K3 [ K6 + K3 +1]
    =1/K3  =1/a/d =d/a
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5. If (x3 + 3x) / (3x2 +1) = 341/91 , then the value of x is

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  • You can also get access to the Algebra MCQ ebook.
  • Algebra Practice Questions can be used in the preparation of CTET, Bank Exams and many other competitive exams .
  • You can also download pdf for this  Algebra Practice  questions Answers.
  • This Algebra Practice Questions Answers section can also be used for the preparation of various competitive exams.
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