21,188 previous year State Engineering Entrances - East & West India (WBJEE & GUJCET) questions, grouped by year, with answers and solutions.
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): Diamond sparkles brilliantly with internal radiance.
Reason (R): Total internal reflection of light occurs inside diamond because its critical angle is exceptionally small (approximately 24.4°).
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): Diamond sparkles brilliantly with internal radiance.
Reason (R): Total internal reflection of light occurs inside diamond because its critical angle is exceptionally small (approximately 24.4°).
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): Diamond sparkles brilliantly with internal radiance.
Reason (R): Total internal reflection of light occurs inside diamond because its critical angle is exceptionally small (approximately 24.4°).
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): Electric current in a conductor is treated as a scalar physical quantity.
Reason (R): Although electric current has both magnitude and direction, it does not obey the laws of vector addition.
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): The square root of 2 ($\sqrt{2}$) is an irrational real number.
Reason (R): The square root of any positive prime integer is an irrational number.
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): The value of $\sin\theta$ cannot exceed 1 for any real angle $\theta$.
Reason (R): In any right-angled triangle, the hypotenuse is the strictly longest side, ensuring the ratio $\text{Perpendicular}/\text{Hypotenuse} \le 1$.
Directions: In the question below, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Assertion (A): The quadratic equation $x^2 - 6x + 9 = 0$ has real and equal roots.
Reason (R): A quadratic equation $ax^2 + bx + c = 0$ has real and equal roots if and only if its discriminant $D = b^2 - 4ac = 0$.
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