Q1 Easy
A number when multiplied by 4 and then increased by 7 equals 35. Find the number.
A 6 B 7 C 8 D 9
Q2 Easy
The sum of two consecutive numbers is 49. Find the smaller number.
A 23 B 24 C 25 D 26
Q3 Easy
If (x - 3) is a factor of the polynomial q(x) = x² - 5x + 6, what is the value of q(3)?
A 0 B 3 C 6 D 9
Q4 Easy
If (a + b)² = 81 and ab = 18, find the value of a² + b².
A 45 B 54 C 63 D 72
Q5 Easy
Simplify (x + 5)(x - 5) using the algebraic identity (a + b)(a - b) = a² - b².
A x² - 10 B x² - 25 C x² + 25 D x² + 10x - 25
Q6 Easy
If 5x + 3 = 28, what is the value of x?
A 5 B 6 C 7 D 8
Q7 Easy
What is the degree of the polynomial 4x⁵ + 3x³ - 2x + 7?
A 3 B 4 C 5 D 7
Q8 Easy
If a - b = 7 and ab = 12, find the value of (a - b)² - 4ab.
A -1 B 1 C 25 D 49
Q9 Easy
If p(x) = 3x² + 5x - 2, find the value of p(2).
A 20 B 24 C 16 D 12
Q10 Medium
The sum of three consecutive integers is 84. What is the smallest of the three integers?
A 27 B 28 C 29 D 26
Q11 Medium
A shopkeeper sells books at ₹40 each. After selling some books, he earns ₹320. How many books did he sell?
A 6 books B 8 books C 10 books D 12 books
Q12 Medium
If 3x + 7 = 22, what is the value of x?
A 4 B 5 C 6 D 7
Q13 Medium
If (a + b)² = 64 and ab = 12, find the value of a² + b².
A 40 B 88 C 64 D 52
Q14 Medium
Simplify: (x + 5)² − (x − 5)²
A 10x B 20x C 50 D 100
Q15 Medium
If a² + b² = 25 and a + b = 7, find the value of ab.
A 10 B 12 C 24 D 18
Q16 Medium
Expand (2m − 3n)(2m + 3n) using algebraic identities.
A 4m² − 9n² B 4m² + 9n² C 4m² − 6n² D 2m² − 3n²
Q17 Medium
If x² + 5x + 6 = 0, what are the roots of this quadratic equation?
A x = -2 and x = -3 B x = 2 and x = 3 C x = -2 and x = 3 D x = 2 and x = -3
Q18 Medium
A number is 5 more than another number. If the product of the two numbers is 24, what is the smaller number?
A 3 B 4 C 5 D 6
Q19 Medium
What is the value of the discriminant for the quadratic equation 2x² - 4x + 2 = 0?
A 0 B 4 C 8 D 16
Q20 Medium
A rectangular plot has length 3 m more than its width. If the area is 40 m², what is the width of the plot?
A 5 m B 6 m C 7 m D 8 m
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