Class 10 Maths
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The document provides a series of mathematical questions catered for Class 10 students, including topics such as quadratic equations, geometry, and logarithms. It includes multiple-choice questions with various mathematical concepts and problems to solve. Additionally, it offers online test resources and NCERT solutions related to the curriculum.
Class 10 Maths
- 1. Entrancei.com Math’s questions for class 10 Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com Practice questions for class 10 Mathematics 1. Find the value of : ; where a > 0 (a) (b) a (c) a2 (d) none of these 2. Roots of the quadratic equation x2 + x – 1 = 0 are (a) imaginary (b) real and equal (c) real and irrational (d) real and rational 3. A sphere of diameter ‘d’ is inscribed in a closed cylinder. The total surface area of the cylinder is : (a) (b) (c) (d) 4. What is the remainder when x4 – x3 + x+ 2 is divided by 2x –3 ? (a) (b) (c) (d) none of these 5. Which is true ? (a) log220 = log221 (b) log218 > log236 (c) (d) log220 > log221 6. then minimum value of (a) 16 (b) 2 (c) 256 (d) 4 7. The fourth root of is ? (a) (b) (c) (d) 8. Which statement is false ? (a) A rhombus is always a parallelogram (b) A square is always a rhombus (c) Diagonals of a parallelogram are always equal (d) Diagonals of a rhombus always intersect at right angles 9. If and then, (a) 3 (b) 6 (c) (d) 10. The diagonal of a cube is decreased by 10 %. The percentage decrease in its volume is (a) 33. 1% (b) 72. 9% (c) 27.1% (d) 9 % 11. Alisha is twice as old as Ishaan. 4 years earlier, ratio of Alisha’s age to that of Ishaan’s age was 4 : 1. Present age of Alisha is : ........a a a a ¥ a 2 dp 25 2 dp 2 2 dp 2 3 2 dp 83 16 85 16 115 16 1 1 2 2 log 18 log 36> 2 4log log 4 ; 0,k x k x> = > ?x = 27 16 3- 1 3- 3 1- 8 3- 3 8- 3 2 2 3 2 2 x - = + 3 2 2 3 2 2 y + = - ?x y+ = 3 2 4 2
- 2. Entrancei.com Math’s questions for class 10 Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com (a) 6 (b) 12 (c) 18 (d) 24 12. If mx2 – x + 1 has real roots, then : (a) (b) (c) (d) m can be any real number 13. ABCD is a rhombus. If OD = 5 cm, CD = 13 cm. Then area of rhombus ABCD is (a) 60 cm2 (b) 240 cm2 (c) 120 cm2 (d) 30 cm2 14. ABC is a triangle with area 100 cm2 . AC is produced to D such that AC = CD, BA to E such that BA = AE and CB to F such that CB = BF. Then area of DDEF is (a) 600 cm2 (b) 500 cm2 (c) 700 cm2 (d) none of these 15. If ; p and q are prime numbers. ‘a’ and ‘b’ are integers. Then (a) 48 (b) 4 (c) 16 (d) none of these 16. If , then x = ? (a) 1 (b) 0 (c) 2 (d) can’t be determined 17. If , then ; (a) a + b £ 4 (b) a + b £ 8 (c) a + b ³ 4 (d) a + b ³ 8 18. Find the value of : (a) –7 (b) 8 (c) 0 (d) either (a) or (b) 19. If logxy = a, then : 1 4 m = 1 4 m ³ 1 4 m £ 2009a b p q´ = p q a b + + 2 sin ( 2) 1xq = - + 4ab = 56 56 56 .......+ + + ¥ A B CD O A B C D E F
- 3. Entrancei.com Math’s questions for class 10 Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com (a) x £ 0 (b) y £ 0 (c) a > 0 (d) x ¹ 1 20. Which statement is true ? (a) If logax > logay and x, y, then a > 1 (b) If sinq > cosq and q is acute then 0o < q < 45o (c) The diagonals of a rectangle are equal (d) None of these