121. If p(x) = x⁴ – 3x² + 4x + 5 is divided by x² – x + 1, what is the remainder?
Answer: 3
122. What is the area of the triangle with vertices A(1, -1), B(-4, 6), and C(-3, -5)?
Answer: 24 square units
123. What is the volume of a cube with a side length of 6 cm?
Answer: 216 cm³
124. If the probability of event A is 1/3, what is P(not A)?
Answer: 1
125. A bowler took the following wickets in 10 cricket matches: 2, 6, 4, 5, 0, 2, 1, 3, 3, 2. Find the mode of these data.
Answer: 2
126. If 1/x + 1/y = 5 and 2/x – 3/y = 4, then (x, y) = ?
Answer: (19/5, 6/5)
127. What is the 20th term from the last term of the arithmetic series 5, 7, 9, 11, …, 73, 75?
Answer: 35
128. A total amount of Rs. 700 is used to award 7 cash prizes to students in a school. If each cash prize is Rs. 20 less than the previous one, what is the cash prize given to the first prize winner?
Answer: Rs. 240
129. If (8)^(4x+3) = (64)^(3x+1), then what is the value of x?
Answer: 2
130. Adding 20% of x to x is equivalent to multiplying x by which of the following?
Answer: 1.20
131. The quadratic polynomial whose sum of the roots is 1/4 and product of the roots is -1
Answer: 4x² – x – 4
132. What is the quotient obtained when x⁴ – 5x + 6 is divided by 2 – x²?
Answer: x² – 2
133. The half of the perimeter of a rectangular garden is 36 m, and the length is 4 m more than the width. What are the dimensions of the garden?
Answer: Length = 20 m, Width = 16 m
134. Solve 2x + 3y = 11 and 2x – 4y = -24, and find the value of m for y = mx + 3.
Answer: 3
135. A fraction becomes 1/3 when 1 is subtracted from the numerator and becomes 4/4 when 8 is added to the denominator. What is the fraction?
Answer: 5/12
136. An amount becomes ₹66,000 in 5 years at a simple interest rate of 13% per annum. What is the principal amount?
Answer: ₹50,000
137. The area of an isosceles triangle with base 8 cm and one of the equal sides 5 cm is?
Answer: 12 sq. cm
138. A rectangular wire of length 7 cm and width 4 cm is bent to form a circle. What is the area of the circle?
Answer: 49 sq. cm
139. From a point on the ground, 45 meters away from the base of a tower, the angle of elevation to the top of the tower is 60°. What is the height of the tower?
Answer: 45√3 m
140. The ratio of the ages of two persons is 5:7. Earlier, their age ratio was 8:13. What are their current ages?
Answer: 25 years, 35 years