Explore Exams
Login Signup
Sign in Open App
CAT Exam  >  CAT Test  >  Quantitative Aptitude (Quant)  >  Test: Surds And Indices- 1 - CAT MCQ

Surds And Indices- 1 - Free MCQ Practice Test with solutions, CAT Quant


MCQ Practice Test & Solutions: Test: Surds And Indices- 1 (10 Questions)

You can prepare effectively for CAT Quantitative Aptitude (Quant) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Surds And Indices- 1". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Surds And Indices- 1 - Question 1
Save

(17)3.5 x (17)? = 178

Detailed Solution: Question 1

Let (17)3.5 x (17)x = 178
Then, (17)3.5 + x = 178
∴ 3.5 + x = 8
⇒ x = (8 - 3.5)
⇒ x = 4.5

Test: Surds And Indices- 1 - Question 2
Save

If (a / b)x - 1 = (b / a)x - 3 , then the value of x is:

Detailed Solution: Question 2

Given: 
⇒ (a / b)x - 1 = (b / a)x - 3
⇒ (a / b) x - 1 = (b / a) -(x - 3) = (a / b)(3 - x)

⇒ x - 1 = 3 - x
⇒ 2x = 4
⇒ x = 2

Clear all your doubts with EduRev
Test: Surds And Indices- 1 - Question 3
Save

Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

Detailed Solution: Question 3

⇒  xz = y2 ⇔ 10(0.48 z) = 10(2 x 0.70) = 101.40
⇒ 0.48 z = 1.40
⇒ z = 140 / 48 = 35 / 12 = 2.9(approx.)

Test: Surds And Indices- 1 - Question 4
Save

If 5a = 3125, then the value of 5(a - 3) is:

Detailed Solution: Question 4

⇒ 5a = 3125 ⇔ 5a = 55
⇒ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.

Test: Surds And Indices- 1 - Question 5
Save

The simplest value of the expression is

Detailed Solution: Question 5




 

Hence, option (c).

    Test: Surds And Indices- 1 - Question 6
    Save

    (256)0.16 x (256)0.09 = ?

    Detailed Solution: Question 6

    ⇒  (256)0.16 x (256)0.09 = (256)(0.16 + 0.09)

    = (256)0.25
    = (256)(25 / 100)
    = (256)(1 / 4)
    = (44)(1 / 4)
    = 44(1 / 4)
    = 41
    = 4

    Test: Surds And Indices- 1 - Question 7
    Save

    The value of [(10)150 ÷ (10)146]

    Detailed Solution: Question 7

    ⇒ (10)150 ÷ (10)146 = 10150 / 10146
    = (10)150 -146
    = 104
    = 10000.

    Test: Surds And Indices- 1 - Question 8
    Save

    (25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

    Detailed Solution: Question 8

    Let (25)7.5 x (5)2.5 ÷ (125)1.5 = 5x.
    Then, (52)7.5 x 52.5 / (53) 1.5 = 5x

    ⇒ (52)7.5 x 52.5 / (5)3 x 1.5 = 5x
    ⇒ 515 x 52.5 / 54.5 = 5x
    ⇒ 5x = 5(15 + 2.5 - 4.5)
    ⇒ 5x = 513
    ∴ x = 13.

    Test: Surds And Indices- 1 - Question 9
    Save

    (0.04)-1.5 = ?

    Detailed Solution: Question 9

    ⇒ (0.04)-1.5 = (4 / 100)-1.5

    = (1 / 25) -(3 / 2)
    = (52)(3 / 2)
    = (5)2 x (3 / 2)
    = 53
    = 125.

    Test: Surds And Indices- 1 - Question 10
    Save

    Which of the following is true?

    Detailed Solution: Question 10

    136 videos|255 docs|86 tests
    Join Course
    Information about Test: Surds And Indices- 1 Page
    In this test you can find the Exam questions for Test: Surds And Indices- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Surds And Indices- 1, EduRev gives you an ample number of Online tests for practice
    136 videos|255 docs|86 tests
    Join Course
    Download as PDF
    ;

    About this CAT Practice Test

    This test contains 10 MCQs on Surds And Indices- 1 with detailed solutions for each question. It is part of the Quantitative Aptitude (Quant) course on EduRev, designed to align with the current CAT syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

    Explore more CAT Study Resources

    If you found this Surds And Indices- 1 MCQ Test helpful, you can further enhance your CAT preparation with in-depth courses on EduRev, for all the subjects and topics available in Quantitative Aptitude (Quant) course. The course offers:
    • Video Lectures: covering all the topics of Quantitative Aptitude (Quant)
    • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for CAT preparation
    • MCQ Test: variety of questions as per the pattern of CAT exam
    Signup to see your scores go up
    within 7 days!
    Takes less than 10 seconds to signup