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In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : 16x⁴ – 81 = (4x² + 9)(4x² – 9).
Reason : a² – b² = (a + b)(a – b).

A If both assertion and reason are true and reason is the correct explanation of assertion.
B If both assertion and reason are true but reason is not the correct explanation of assertion.
C If assertion is true but reason is false.
D If assertion is false but reason is true.

In each of the following questions, a statement of Assertion (A) is given followed by a corresponding statement of Reason (R) just below it. Of the statements, mark the correct answer as
Assertion : (1² + 2² + 3²) x (2/3)³ ÷ (1/4)² = (3/7)⁶
Reason : For any rational number a and positive integer n, we define aⁿ as a × a × a × a × ........ × a (n-times)

A If both assertion and reason are true and reason is the correct explanation of assertion
B If both assertion and reason are true but reason is not the correct explanation of assertion
C If assertion is true but reason is false
D If assertion is false but reason is true.

We first solve an equation, by removing vinculum first, then parentheses, then braces and finally square brackets.
Simplify : 63-(-3){-2-̄8-3} ÷3{5+(−2)(−1)}

A 26
B 48
C 62
D 96

In each of the following questions, a statement of Assertion (A) is given followed by a corresponding statement of Reason (R) just below it. Of the statements, mark the correct answer as
Assertion : The variable and constants of the algebraic expression 5x + 2 is 5, 2 and x respectively.
Reason : Variables are the alphabets used to represent unknown numbers and constants have the fixed value.

A If both assertion and reason are true and reason is the correct explanation of assertion.
B If both assertion and reason are true but reason is not the correct explanation of assertion.
C If assertion is true but reason is false.
D If assertion is false but reason is true.

In this section, each question has two matching lists. Choices for the correct combination of elements from List-I and List-II are given as options (A), (B), (C) and (D) out of which one is correct.
Match the ordered pairs given in List-I with their quadrants given in List-II.

Hindu - Arabic numeral of MV is
A 1500
B 1005
C 1400
D 995

If area of a semicircle with radius r is πr²/2 and area of a square with a side of length a is a², then study the given figure made up of semicircles and squares and answer the following questions. (Take π = 3.14)

Find the difference between shaded area and unshaded area.

A 10.42 cm²
B 9.12 cm²
C 12.56 cm²
D 8.22 cm²

In this section, each question has two matching lists. Choices for the correct combination of elements from List-I and List-II are given as options A, B, C and D out of which one is correct.
Match the list-I and list-II.

Code : ----P---- Q---- R---- S

A 3---- 4---- 1 ----2
B 2 ----4---- 1---- 3
C 1 ----2 ----3---- 4
D 4 ----3---- 2---- 1

Out of four options only one is correct. Write the correct answer.
A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

A4
B5
C7
D10

Directions: In each of the following questions, a statement of Assertion (A) is given followed by a corresponding statement of Reason (R) just below it. Of the statement, mark the correct answer as
Assertion : The fraction form of 16.25 is .
Reason : In the denominator, write 1 followed by as many zeroes as there are decimal place in the given decimal.

A If both assertion and reason are true and reason is the correct explanation of assertion.
B If both assertion and reason are true but reason is not the correct explanation of assertion.
C If assertion is true but reason is false.
D If assertion is false but reason is true.