JKBOSE Mathematics Class 10th Exam: Objective Questions & True/False Answers 2024
The Jammu and Kashmir Board of School Education (JKBOSE) has conducted the Mathematics Class 10th Annual Regular 2024 exam, covering a range of topics. Here, we provide all 40 objective questions along with their true/false answers for both the X and Z series exams.
JKBOSE Mathematics Objective Question/ True/False Answers For X Series:
1. Which of the following numbers is an irrational number?
- (A) 0.101
- (B) 0.202202220.....
- (C) 0.1011
- (D) None of these
- Answer: (B) 0.202202220.....
2. Sum of zeroes of the polynomial 2x² – 8x + 6 is:
- (A) -4
- (B) 3
- (C) 4
- (D) None of these
- Answer: (C) 4
3. The pair of linear equations 2x+3y-9=0 and 4x+6y-18=0 are:
- (A) Coincident
- (B) Parallel
- (C) Intersecting
- (D) None of these
- Answer: (A) Coincident
4. 35th term of the A.P. 21. 18. 15. is:
- (A) -18
- (B) -71
- (C) -81
- (D) None of these
- Answer: (C) -81
5. cot 30° is equal to:
- (A) sec 30°
- (B) cot 60°
- (C) tan 60°
- (D) None of these
- Answer: (B) cot 60°
6. The distance of a point from the x-axis is called its
- (A) Abscissa
- (B) Ordinate
- (C) Coordinate
- (D) None of these
- Answer: (B) Ordinate
7. H.C.F. of 7 and 28 is:
- (A) 4
- (B) 28
- (C) 7
- (D) None of these
- Answer: (C) 7
8. The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?
- (A) 0.25
- (B) 0.145
- (C) 0.05
- (D) None of these
- Answer: (D) None of these
9. Volume of cone is:
- (A) πr²h
- (B) 1/3 πr²h
- (C) 3πr²h
- (D) None of these
- Answer: (B) 1/3 πr²h
10. Discriminant of the quadratic equation 3x²-2√6x+2=0 is:
- (A) 24
- (B) 6
- (C) 0
- (D) None of these
- Answer: (B) 6
11. Prime factorization of 1771 is 7 x 11 x 13.
- True/False
- Answer: True
12. The sum of the first 51 positive integers is:
- (A) 1316
- (B) 1326
- (C) 1362
- (D) None of these
- Answer: (B) 1326
13. -0.5 can be the probability of an event.
- True/False
- Answer: False
14. All circles are congruent.
- True/False
- Answer: False
15. Number of tangents that can be drawn from a point outside the circle is:
- Answer: 2
16. Write the formula for the sum to n terms of an A.P.
- Answer: Sn = n/2 [2a + (n-1)d]
17. x=0, y=2 is a solution of equation y-2x = -2.
- True/False
- Answer: False
18. The value of cos A exceeds 1.
- True/False
- Answer: False
19. Calculate mean of first 6 prime numbers.
- Answer: Mean = (2 + 3 + 5 + 7 + 11 + 13) / 6 = 41 / 6 ≈ 6.83**
20. Write the formula for class mark of grouped data
- Answer: Class Mark = (Upper Class Limit + Lower Class Limit) / 2
JKBOSE Mathematics Objective Question/ True/False Answers For Z Series:
Here are the answers to questions for Series Z:
1. The number 0.10110111011110...................is
- (A) Even number
- (B) Rational number
- (C) Irrational number
- (D) None of these
- Answer: (C) Irrational number
2. Product of zeroes of the polynomial 4x²+8x is:
- (A) 2
- (B) 0
- (C) 4
- (D) None of these
- Answer: (B) 0
3. The pair of linear equations x+2y-4=0 and 2x+4y-12= 0 are:
- (A) Coincident
- (B) Intersecting
- (C) Parallel
- (D) None of these
- Answer: (A) Coincident
4. sin 2A = 2 sin A is true when A=
- (A) 0⁰
- (B) 45⁰
- (C) 30⁰
- (D) None of these
- Answer: (A) 0⁰
5. 11th term of the A.P. : -3, -1/2, 2,....is
- (A) 28
- (B) 22
- (C) -38
- (D) None of these
- Answer: (C) -38
6. The abscissa of any point on the y-axis is
- (A) 1
- (B) 0
- (C) -1
- (D) None of these
- Answer: (B) 0
7. HCF of 26 and 91 is
- (A) 26
- (B) 13
- (C) 14
- (D) None of these
- Answer: (B) 13
8. Getting a natural number greater than zero is an example of
- (A) Impossible event
- (B) Simple event
- (C) Sure event
- (D) None of these
- Answer: (C) Sure event
9. Volume of sphere is
- (A) 4/3 πr²
- (B) 3/4 πr³
- (C) 4/3 πr³
- (D) None of these
- Answer: (C) 4/3 πr³
10. Discriminant of the quadratic equation x²+5√5x-70=0 is
- (A) 280
- (B) 405
- (C) 504
- (D) None of these
- Answer: (C) 504
11. Prime factorization of 3875 is 3 x 3 x 5 x 7 x 17.
- Answer: True
12. The sum of the first 1000 positive integers is:
- (A) 500500
- (B) 500005
- (C) 100100
- (D) None of these
- Answer: (A) 500500
13. 1/2 can be the probability of an event.
- Answer: True
14. All triangles are similar.
- Answer: False
15. Number of tangents that can be drawn on the circle is:
- Answer: Infinite
16. If an = (n-1)(2-n), then find a.
- Answer: a = -n² + 3n - 2
17. The value of cosec A is always greater than or equal to 1.
- Answer: False
18. sin² A + cos² A = 1 for 0° ≤ A ≤ 90°.
19. Calculate the mean of the first 7 even numbers.
- Answer: Mean = (2 + 4 + 6 + 8 + 10 + 12 + 14) / 7 = 56 / 7 = 8
20. Write the formula for mean of grouped data.
- Answer: Mean = (∑ (f * x)) / N
If you spot any incorrect objective answers or true/false statements, don't hesitate to reach out on Instagram. Your input is valued! Thank you.
JKBOSE Mathematics Objective Question/ True/False Answers For Y Series: Coming Soon..
Conclusion:
These objective questions and true/false answers provide valuable insight into the Mathematics Class 10th exams conducted by JKBOSE. As students await their results, this comprehensive review of exam questions aids in understanding key concepts and preparing for future assessments.
