Test: Square Root And Cube Root- 1 - CAT MCQ

Test: Square Root And Cube Root- 1 - CAT MCQ

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10 Questions MCQ Test Quantitative Aptitude (Quant) - Test: Square Root And Cube Root- 1

Test: Square Root And Cube Root- 1 for CAT 2024 is part of Quantitative Aptitude (Quant) preparation. The Test: Square Root And Cube Root- 1 questions and answers have been prepared according to the CAT exam syllabus.The Test: Square Root And Cube Root- 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Square Root And Cube Root- 1 below.
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Test: Square Root And Cube Root- 1 - Question 1
Detailed Solution for Test: Square Root And Cube Root- 1 - Question 1

⇒ x=  √331776

⇒ x2 = 576

⇒ x = √576

⇒ x = 24

Test: Square Root And Cube Root- 1 - Question 2
Detailed Solution for Test: Square Root And Cube Root- 1 - Question 2

(5.4756)1/2 = 2.34

Test: Square Root And Cube Root- 1 - Question 3

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 3

Test: Square Root And Cube Root- 1 - Question 4

The cube root of 0.000729 is

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 4

Test: Square Root And Cube Root- 1 - Question 5

What is the least perfect square which is divisible by each of 21, 36 and 66?

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 5

► L.C.M. of 21, 36, 66 = 2772
► Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444

Test: Square Root And Cube Root- 1 - Question 6

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 6

= (12/11) x (11/15) x (15/14)

= 12/14

= 0.85

Test: Square Root And Cube Root- 1 - Question 7

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 7

► Using identity, (a-b)2 = a2 + b2 - 2ab

► Here a = √7 and b = 1/√7

= (√7)+ (1/√7)2 - 2. √7.1/√7

= 7 + 1/7 - 2

= 5 + 1/7

= 36/7

Test: Square Root And Cube Root- 1 - Question 8

The square root of 16641 is:

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 8

Step 1:

• We now need to obtain the digital root of the number. Here's how you do it:
• Split the number up and add each digit together:
1 + 6 + 6 + 4 + 1 = 18
• If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9
• What is the digital root of number 16,641?

Step 2:

• So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
• Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!

Factoring

• OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.
• Here are all of the factors of 16,641:
(1 x 16,641) (3 x 5,547) (9 x 1,849) (43 x 387) (129 x 129)

Test: Square Root And Cube Root- 1 - Question 9

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 9

Squaring both side,
⇒ 0.0576 x a = 0.0576
⇒ a = 1

Test: Square Root And Cube Root- 1 - Question 10

Detailed Solution for Test: Square Root And Cube Root- 1 - Question 10

Squaring both side,

⇒ 0.000256 x a = 2.56

⇒ a = 2.56/0.000256

⇒ a = 10000

Quantitative Aptitude (Quant)

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