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This mock test of Test: Inequalities- 1 for Banking Exams helps you for every Banking Exams entrance exam.
This contains 10 Multiple Choice Questions for Banking Exams Test: Inequalities- 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

For which values of x does this equation stands true: 3x^{2} – 7x – 6 < 0

Solution:

- At
**x = 0**, inequality is satisfied. Hence, options (b) and (c) are rejected. **x = 3**gives LHS = RHS and**x = -0.66**also does the same.- Hence roots of the equation are 3 and -0.66. Thus, option
**(d) is correct**.

QUESTION: 2

For which values of x does this equation stands true x^{2} – 14x – 15 > 0 ?

Solution:

At x = 0 inequality is not satisfied.

Thus x = –1 and x = 15 are the roots of the quadratic equation.

Thus, option (d) is correct.

QUESTION: 3

For which values of x does this equation stands true |x^{2} - 4x| < 5 ?

Solution:

At x = 0 inequality is satisfied, option(b) is rejected. At x = 2, inequality is satisfied, option (c) is rejected.

At x = 5, LHS = RHS.

At x = –1, LHS = RHS.

Thus, option (a) is correct.

QUESTION: 4

For which values of x does this equation stands true |x – 6| > x^{2} – 5x + 9 ?

Solution:

- At x = 2, inequality is satisfied.
- At x = 0, inequality is not satisfied.
- At x = 1, inequality is not satisfied but LHS = RHS.
- At x = 3, inequality is not satisfied but LHS = RHS.

Thus, option (b) is correct.

QUESTION: 5

For which values of x does this equation stands true |x^{2} – 2x| < x ?

Solution:

- At x = 1 and x = 3

LHS = RHS. - At x = 2 inequality is satisfied.
- At x = 0.1 inequality is not satisfied. At x = 2.9 inequality is satisfied.
- At x = 3.1 inequality is not satisfied.

Thus, option (a) is correct.

QUESTION: 6

For which values of x does this equation stands true x^{2} –7x + 12 < |x – 4| ?

Solution:

- At x = 0, inequality is not satisfied, option (a) is rejected.
- At x = 5, inequality is not satisfied, option (b) is rejected.
- At x = 2 inequality is not satisfied.

Option (d) is rejected.

Thus, Option (e) is correct.

QUESTION: 7

For which values of x does this equation stands true |x^{2} – 2x| < x ?

Solution:

- At x = 1 and x = 3

LHS = RHS. - At x = 2 inequality is satisfied.
- At x = 0.1 inequality is not satisfied. At x = 2.9 inequality is satisfied.
- At x = 3.1 inequality is not satisfied. .
- At x = 3, inequality is not satisfied but LHS = RHS.

Thus, option (d) is correct.

QUESTION: 8

For which values of x does this equation stands true 2 – x – x^{2} ≥ 0 ?

Solution:

At x = 0, inequality is satisfied.

Thus, options, (c) and (d) are rejected.

At x = 1, inequality is satisfied

Hence, we choose option (b).

QUESTION: 9

For which values of x does this equation stands true x^{2} – |5x – 3| – x < 2 ?

Solution:

At x = 0, inequality is satisfied, option (a) rejected. At x = 10, inequality is not satisfied, option (c) rejected.

At x = –5, LHS = RHS.

Also at x = 5, inequality is satisfied and at x = 6, inequality is not satisfied. Thus, option (c) is correct.

QUESTION: 10

For which values of x does this equation stands true |x^{2} – 3x| + x – 2 < 0 ?

Solution:

The options need to be converted to approximate values before you judge the answer. At x = 0, inequality is satisfied.

Thus, option (b) and (d) are rejected.

Option (a) is correct.

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