If \(x = \sqrt {\frac{{\sqrt {10} + 1}}{{\sqrt {10} - 1}}}\), then the value of (x2 - x - 1) is –

\(- \frac{{\sqrt {10} + 1}}{9}\)

\(- \frac{{\sqrt {10} + 1}}{8}\)

\(- \frac{{\sqrt {10} - 1}}{8}\)

\(- \frac{{\sqrt {10} + 1}}{9}\)

\(- \frac{{\sqrt {10} + 2}}{9}\)

Simplification RRB (Railways) MCQ Questions With Answers Quiz

11.

If the numbers \(\sqrt[3]{9},\;\sqrt[4]{{20}},\;\sqrt[6]{{25}}\) are arranged in ascending order, then the right arrangement is

\(\sqrt[6]{{25}},\;\sqrt[4]{{20}},\sqrt[3]{9}\)

\(\sqrt[3]{9},\sqrt[4]{{20}},\sqrt[6]{{25}}\)

\(\sqrt[4]{{20}},\sqrt[6]{{25}},\;\sqrt[3]{9}\)

\(\sqrt[6]{{25}},\;\sqrt[3]{9},\sqrt[4]{{20}}\)

1.

What is the value of \(2 + \frac{1}{2} + \frac{3}{2} + \frac{5}{2} + \frac{7}{2}\)

2.

If \(\sqrt[3]{{{3^n}}} = 81,\) then the value of n is:

3.

Simplify: 4 – 1 + 5 × 6 ÷ 2 – 1 = ?

4.

Which value is closest to [(5.168 × 4453 × 3.194) / (67.999 × 4224.017)]

5.

The value of \(\frac{{\sqrt {\sqrt {21 - 9\sqrt 5 } \times \sqrt {21 + 9\sqrt 5 } } }}{{\sqrt {12} \times \sqrt {\left( {18 - 8\sqrt 5 } \right) \times \left( {18 + 8\sqrt 5 } \right)} }}\)

6.

Which of the following number is largest among all? \(0.7,\;0.\bar 7,\;0.0\bar 7,0.\overline {07}\)

7.

Which of the following fractions is the highest of all?

8.

If 0.023 ÷ P3 = 23, then 5P is equal to –

9.

If \(x = \sqrt {\frac{{\sqrt {10} + 1}}{{\sqrt {10} - 1}}}\), then the value of (x2 - x - 1) is –

10.

Compute: (28854 ÷ 458) ÷ 9

11.

If the numbers \(\sqrt[3]{9},\;\sqrt[4]{{20}},\;\sqrt[6]{{25}}\) are arranged in ascending order, then the right arrangement is

12.

If the fractions 7/13, 2/3, 4/11, 5/9 are arranged in ascending order, then the correct sequence is ?

13.

What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 54336 ÷ 150 ÷ 4 = ?

14.

75% is equal to

15.

What is the difference between 0.6 and 0.6%?

16.

If x = 1 + √6 + √7, then the value of \(\left( {x + \frac{1}{{x - 1}}} \right)\) is

17.

Simplify:- 40% of ? = 960

18.

Find the value of \(\sqrt { - \sqrt 3 + \sqrt {3 + 8\sqrt {7 + 4\sqrt 3 } } } \)

19.

Simplified value of \(\frac{{3.47 \times 3.47 - 2.53 \times 2.53}}{{0.94}} - \frac{{25.50}}{{12.75}}\) is

20.

60% of 40% of 150% of 52 = ?

21.

Simplify:- (0.08% of 1350) – (0.04% of 850) = ?

22.

\(\sqrt {43 + \sqrt {32 + \sqrt {4 + \sqrt {130 + \sqrt {196} } } } }\) is equal to

23.

Correct expression of \(0.0\overline {18} = ?\)

24.

Which of the following statement(s) is/are TRUE? I. 2√3 > 3√2 II. 4√2 > 2√8

25.

Solve: (?)3 × 10 = 13230 ÷ (9.261 ÷ 7)

26.

If (3 + 2√5)2 = 29 + K√5, then what is the value of K?

27.

In an examination a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is:

28.

The simple form of the following expanded form of numbers is 6.06 × 104 + 7 × 103 + 5 × 10

29.

What should come in the place of question mark (?) in the following question? \(\frac{1}{5} + \frac{1}{{15}} - ? = \frac{1}{4}\)

Time

1. What is the value of \(2 + \frac{1}{2} + \frac{3}{2} + \frac{5}{2} + \frac{7}{2}\)

2. If \(\sqrt[3]{{{3^n}}} = 81,\) then the value of n is:

3. Simplify: 4 – 1 + 5 × 6 ÷ 2 – 1 = ?

4. Which value is closest to [(5.168 × 4453 × 3.194) / (67.999 × 4224.017)]

5. The value of \(\frac{{\sqrt {\sqrt {21 - 9\sqrt 5 } \times \sqrt {21 + 9\sqrt 5 } } }}{{\sqrt {12} \times \sqrt {\left( {18 - 8\sqrt 5 } \right) \times \left( {18 + 8\sqrt 5 } \right)} }}\)

6. Which of the following number is largest among all? \(0.7,\;0.\bar 7,\;0.0\bar 7,0.\overline {07}\)

7. Which of the following fractions is the highest of all?

8. If 0.023 ÷ P3 = 23, then 5P is equal to –

9. If \(x = \sqrt {\frac{{\sqrt {10} + 1}}{{\sqrt {10} - 1}}}\), then the value of (x2 - x - 1) is –

10. Compute: (28854 ÷ 458) ÷ 9

11. If the numbers \(\sqrt[3]{9},\;\sqrt[4]{{20}},\;\sqrt[6]{{25}}\) are arranged in ascending order, then the right arrangement is

12. If the fractions 7/13, 2/3, 4/11, 5/9 are arranged in ascending order, then the correct sequence is ?

13. What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 54336 ÷ 150 ÷ 4 = ?

14. 75% is equal to

15. What is the difference between 0.6 and 0.6%?

16. If x = 1 + √6 + √7, then the value of \(\left( {x + \frac{1}{{x - 1}}} \right)\) is

17. Simplify:- 40% of ? = 960

18. Find the value of \(\sqrt { - \sqrt 3 + \sqrt {3 + 8\sqrt {7 + 4\sqrt 3 } } } \)

19. Simplified value of \(\frac{{3.47 \times 3.47 - 2.53 \times 2.53}}{{0.94}} - \frac{{25.50}}{{12.75}}\) is

20. 60% of 40% of 150% of 52 = ?

21. Simplify:- (0.08% of 1350) – (0.04% of 850) = ?

22. \(\sqrt {43 + \sqrt {32 + \sqrt {4 + \sqrt {130 + \sqrt {196} } } } }\) is equal to

23. Correct expression of \(0.0\overline {18} = ?\)

24. Which of the following statement(s) is/are TRUE? I. 2√3 > 3√2 II. 4√2 > 2√8

25. Solve: (?)3 × 10 = 13230 ÷ (9.261 ÷ 7)

26. If (3 + 2√5)2 = 29 + K√5, then what is the value of K?

27. In an examination a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is:

28. The simple form of the following expanded form of numbers is 6.06 × 104 + 7 × 103 + 5 × 10

29. What should come in the place of question mark (?) in the following question? \(\frac{1}{5} + \frac{1}{{15}} - ? = \frac{1}{4}\)

Time

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1.

What is the value of \(2 + \frac{1}{2} + \frac{3}{2} + \frac{5}{2} + \frac{7}{2}\)

2.

If \(\sqrt[3]{{{3^n}}} = 81,\) then the value of n is:

3.

Simplify: 4 – 1 + 5 × 6 ÷ 2 – 1 = ?

4.

Which value is closest to [(5.168 × 4453 × 3.194) / (67.999 × 4224.017)]

5.

The value of \(\frac{{\sqrt {\sqrt {21 - 9\sqrt 5 } \times \sqrt {21 + 9\sqrt 5 } } }}{{\sqrt {12} \times \sqrt {\left( {18 - 8\sqrt 5 } \right) \times \left( {18 + 8\sqrt 5 } \right)} }}\)

6.

Which of the following number is largest among all? \(0.7,\;0.\bar 7,\;0.0\bar 7,0.\overline {07}\)

7.

Which of the following fractions is the highest of all?

8.

If 0.023 ÷ P3 = 23, then 5P is equal to –

9.

If \(x = \sqrt {\frac{{\sqrt {10} + 1}}{{\sqrt {10} - 1}}}\), then the value of (x2 - x - 1) is –

10.

Compute: (28854 ÷ 458) ÷ 9

11.

If the numbers \(\sqrt[3]{9},\;\sqrt[4]{{20}},\;\sqrt[6]{{25}}\) are arranged in ascending order, then the right arrangement is

12.

If the fractions 7/13, 2/3, 4/11, 5/9 are arranged in ascending order, then the correct sequence is ?

13.

What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 54336 ÷ 150 ÷ 4 = ?

14.

75% is equal to

15.

What is the difference between 0.6 and 0.6%?

16.

If x = 1 + √6 + √7, then the value of \(\left( {x + \frac{1}{{x - 1}}} \right)\) is

17.

Simplify:- 40% of ? = 960

18.

Find the value of \(\sqrt { - \sqrt 3 + \sqrt {3 + 8\sqrt {7 + 4\sqrt 3 } } } \)

19.

Simplified value of \(\frac{{3.47 \times 3.47 - 2.53 \times 2.53}}{{0.94}} - \frac{{25.50}}{{12.75}}\) is

20.

60% of 40% of 150% of 52 = ?

21.

Simplify:- (0.08% of 1350) – (0.04% of 850) = ?

22.

\(\sqrt {43 + \sqrt {32 + \sqrt {4 + \sqrt {130 + \sqrt {196} } } } }\) is equal to

23.

Correct expression of \(0.0\overline {18} = ?\)

24.

Which of the following statement(s) is/are TRUE? I. 2√3 > 3√2 II. 4√2 > 2√8

25.

Solve: (?)3 × 10 = 13230 ÷ (9.261 ÷ 7)

26.

If (3 + 2√5)2 = 29 + K√5, then what is the value of K?

27.

In an examination a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is:

28.

The simple form of the following expanded form of numbers is 6.06 × 104 + 7 × 103 + 5 × 10

29.

What should come in the place of question mark (?) in the following question? \(\frac{1}{5} + \frac{1}{{15}} - ? = \frac{1}{4}\)