MATHS SSLC QUESTIONS

Four alternatives are suggested to each of the following questions / incomplete
statements. Choose the most appropriate alternative and write the answer in the
space provided below each question.

60 × 1 = 60

1. If set A = { 2, 3, 4, 5 } and set B = { 4, 5 } , then which of the following is a null
set ?
(A) A – B (B) B – A
(C) A U B (D) A I B.
Ans. :

2. P, Q and R are three sets, then ( P U Q ) I ( P U R ) =
(A) P U ( Q U R ) (B) P I ( Q U R )
(C) P U ( Q I R ) (D) P I ( Q I R ).
Ans. :

3. A and B are the subsets of set U, A l U B l = { 2, 3, 5 } and
U = { 1, 2, 3, 4, 5, 6 } , then A I B =
(A) { 2, 3, 5 } (B) { 1, 4 }
(C) { 1, 2, 3, 4, 5, 6 } (D) { 1, 4, 6 } .
Ans. :

4. In a class of 50 students everyone should be a member of either Science club, or
Maths club or even both. 29 students are the members of Science club and
11 students are the members of both the clubs. Then the number of students in
Maths club only is
(A) 21 (B) 18
(C) 11 (D) 10.
Ans. :

5. In sets A and B if A – B = A, then A I B =
(A) A (B) B
(C) U (D) φ.
Ans. :

6. In an arithmetic progression T n = 3n – 1, then common difference =
(A) 1 (B) 2
(C) 3 (D) 4.
Ans. :

7. In an arithmetic progression T n + 5 = 35 and T n + 1 = 23 then common difference is
(A) 3 (B) 2
(C) 3n (D) 2n.
Ans. :

8. Geometric mean of three numbers is 4. Then their product is
(A) 16 (B) 64
(C) 128 (D) 256.
Ans. :

9. The harmonic mean of P and Q is
(A)
2 ( P + Q )
PQ (B)
2PQ
P + Q
(C)
2 ( P + Q )
P – Q (D)
2 P + Q
PQ .
Ans. :

10. If 


  
2 2x – 6
0 3
is a diagonal matrix, then x is equal to
(A) 0 (B) 1
(C) 2 (D) 3.
Ans. :

11. If ( AB ) l = 


  
2 3
5 6
, then B l A l =
(A) 


  
2 5
3 6
(B) 


  
2 3
6 5
(C) 


  
2 3
5 6
(D) 

   5
6
2 3
.
Ans. :

12. n P 1 + n C 1 =
(A) 2n (B) n
(C) 2 (D) n + 1.
Ans. :

13. Value of 20 C 18 =
(A) 360 (B) 300
(C) 180 (D) 190.
Ans. :

14. If n P 3 = 120, then n is equal to
(A) 12 (B) 10
(C) 8 (D) 6.
Ans. :

15. The correct relation is
(A) n P r = n C r × r (B) n C r = n P r × r
(C) n P r = n C r ÷ r (D) n C r = n P r + r .
Ans. :

16. Sheela is one among 5 girls in a group. 5 chairs are kept in a row. In how many ways
can Sheela sit in the middle chair ?
(A) 5 P 5 (B) 4 P 4
(C) 5 P 4 × 2 P 2 (D) 4 P 4 × 2 P 2 .
Ans. :

17. If the value of standard deviation is 0·9, then the value of variance is
(A) 0·81 (B) 8·1
(C) 0·3 (D) 0·03.
Ans. :

18. If the value of standard deviation of 10 scores is 0, then the scores
(A) are equal to one another but opposite in signs
(B) are equal to each other
(C) are unequal to one another
(D) increase by one.
Ans. :

19. Coefficient of variation of price of 4 foodgrains namely rice, wheat, jowar and ragi are
9·2, 9·9, 9·8 and 9·0 respectively. Then which foodgrain’s rate is more consistent ?
(A) Rice (B) Wheat
(C) Jowar (D) Ragi.
Ans. :

20. H.C.F. of ( a + b ) and ( a – b ) is
(A) ( a + b ) (B) a 2 – b 2
(C) 1 (D) 0.
Ans. :

21. When Σ
x‚ y‚ z
( x + y ) is expanded, we get
(A) x + y + z (B) 2x + 2y + 2z
(C) 3x + 3y + 3z (D) 3xyz.
Ans. :

22. The value of Σ
a‚ b‚ c
( a – b ) is equal to
(A) a – b – c (B) a + b + c
(C) 1 (D) 0.
Ans. :

23. ( a + b ) and ( a 2 + b 2 – ab ) are the factors of
(A) a 3 + b 3 (B) a 3 – b 3
(C) ( a + b ) 3 (D) ( a – b ) 3 .
Ans. :

24. If a – 2b – 3c = 0 then a 3 – 8b 3 – 27c 3 =
(A) 3abc (B) – 6abc
(C) 18abc (D) – 27abc.
Ans. :

25. The order and radicand of a n x
respectively are
(A) a and n (B) a and x
(C) n and x (D) x and n.
Ans. :

26. 32 + 50 =
(A) 82 (B) 5 3
(C) 7 2 (D) 9 2 .
Ans. :

27. Rationalising factor of 5 p – q is
(A) 5 p + q (B) p – q
(C) p + q (D) 5 p + 5 q .
Ans. :

28. When 2 x – y is subtracted from 5 x + 2 y , the answer is
(A) 3 x + 3 y (B) 3 x – y
(C) 3 x + y (D) 3 x – 3 y .
Ans. :

29. An example for pure quadratic equation is
(A) 2x 2 – x = 0 (B) 5x = 3
(C) 4x = 9x 2 (D) 2x 2 = 16.
Ans. :

30. If an equation has only one root, then the equation is
(A) quadratic equation (B) linear equation
(C) cubic equation (D) simultaneous equation.
Ans. :

31. If F =
mv 2
r then v =
(A)
Fm
r (B)
mr
F
(C)
Fr
m (D)
F
rm .
Ans. :

32. One of the positive roots of the equation ( 2x – 7 ) ( 3x – 5 ) = 0 is
(A)
72
(B)
27
(C)
35
(D)
57
.
Ans. :

33. Value of x in the equation px 2 + qx + r = 0 is
(A)
– p ± p 2 – 4pq
2p (B)
– q ± q 2 – 4pr
2p
(C)
– p ± r 2 – 4pq
2r (D)
– p ± p 2 – 4pq
2q .
Ans. :

34. The length of a rectangle is 4 cm more than the breadth. The area is 60 sq.cm. This
can be represented as
(A) x + ( x + 4 ) = 60 (B) x + ( x + 4 ) – 60 = 0
(C) ( x + 4 ) x + 60 = 0 (D) ( x + 4 ) x – 60 = 0.
Ans. :

35. The nature of the roots of the equation ax 2 + bx + c = 0 is decided by
(A) b 2 – 4ac (B) b 2 + 4ac
(C) b – 4ac (D) b + 4ac.
Ans. :

36. The product of the roots of the equation 2x 2 = 3x is
(A) –
23
(B)
32
(C) 0 (D)
12
.
Ans. :

37. The positive value of m for which the roots of the equation x 2 – mx + 25 = 0 are
equal, is
(A) 20 (B) 10
(C) 15 (D) 5.
Ans. :


38. If the sum of the roots of a quadratic equation is – 5 and the product is 4, then the
equation is
(A) x 2 + 5x + 4 = 0 (B) x 2 – 5x + 4 = 0
(C) x 2 + x – 20 = 0 (D) x 2 – x – 20 = 0.
Ans. :

39. If a and b are the roots of the equation x 2 – 5x + 7 = 0, then ab ( a + b ) =
(A) 5 (B) 25
(C) 35 (D) 49.
Ans. :

40. The product of the roots of the equation x 2 + 5x + ( k + 4 ) = 0 is zero, then k =
(A) – 5 (B) – 4
(C) 4 (D) 5.
Ans. :

41. The greatest remainder obtained when an integer is divided by ( m + 1 ) is
(A) 0 (B) 1
(C) m – 1 (D) m.
Ans. :

42. Value of x, if x ⊕ 10 x ≡ 2, is
(A) 2 (B) 3
(C) 6 (D) 7.
Ans. :

43. If n C 3 = n C 8 , then the value of n C 1 =
(A) 3 (B) 11
(C) 24 (D) 336.
Ans. :

44. AB and CD are two equal and parallel chords in a circle. If the distance from the
centre of the circle to the chord AB = 2x units, then the distance between the chords
is
(A) 4x units (B) 2x units
(C) x units (D) 1 unit.
Ans. :

45. ∠ ABC is an angle in a major arc. Then ∠ ABC is
(A) Obtuse angle (B) Right angle
(C) Acute angle (D) Straight angle.
Ans. :

46. Which of the following is a correct statement ?
(A) All the rectangles are similar
(B) All the rhombuses are similar
(C) All the right-angled triangles are similar
(D) All the equilateral triangles are similar.
Ans. :

47. In Δ ABC, PQ  AB . The correct relation is
A
B Q C
P
(A)
BQ
BA =
CP
CA (B)
AP
PC =
BQ
QC
(C)
PQ
BQ =
AB
BC (D)
PQ
QC =
AB
AP .
Ans. :

48. If the perimeters of two similar triangles are in the ratio of 4 : 1, then the ratio
between their areas will be
(A) 16 : 1 (B) 4 : 1
(C) 2 : 1 (D) 2 : 1.
Ans. :


49. In the figure, ∠ ABC = ∠ AQP = 90°. Then,
AQ
AB =
B C
Q
P
A
(A)
BC
PQ (B)
AC
PQ
(C)
QP
BC (D)
AP
AB .
Ans. :

50. In the figure, AB is tangent to the circle with centre O. If ∠ AOB = 30°, then ∠ A and
∠ B respectively are
A
O B
(A) 75°, 75° (B) 100°, 50°
(C) 80°, 70° (D) 90°, 60°.
Ans. :

51. Radii of two circles are 5 cm and 3 cm respectively and the distance between their
centres is 6 cm. Then they are
(A) touching externally (B) intersecting circles
(C) touching internally (D) concentric circles.
Ans. :


52. In the figure, A and B are the centres of two circles with radii 6 cm and 2 cm
respectively. CD is the diameter, then MD =
. . . D
A
B
C
M
(A) 8 cm (B) 6 cm
(C) 4 cm (D) 2 cm.
Ans. :

53. In the figure, AB, AC and BD are the tangents as shown in the figure. If AB = x cm,
BD = y cm, then AC =
D
B
A
O
C
.
(A) x cm (B) y cm
(C) ( x – y ) cm (D) ( x + y ) cm.
Ans. :

54. The formula used to find the total surface area of a solid cylinder is
(A) 2 πrh (B) 2 πr 2 ( r + h )
(C) πr ( r + h ) (D) 2 πr ( r + h ) .
Ans. :

55. The number of plane surfaces in a solid cone is
(A) 0 (B) 1
(C) 2 (D) 3.
Ans. :

56. Ratio between the radii of two solid spheres is 2 : 3, then the ratio between their
volumes is
(A) 8 : 27 (B) 4 : 9
(C) 2 : 3 (D) 2 : 3 .
Ans. :

57. The volume of a solid cone is 60 cm 3 and the area of the base is 20 cm 2 . Then the
height is
(A) 6 cm (B) 9 cm
(C) 12 cm (D) 18 cm.
Ans. :

58. A metal sheet of length 2 m and breadth 44 cm is rolled to form a hollow pipe of
length 2 m. Then the radius of that pipe is
(A) 44 cm (B) 22 cm
(C) 11 cm (D) 7 cm.
Ans. :

59. The numbers of vertices and edges respectively in a tetrahedron are
(A) 4, 6 (B) 6, 4
(C) 8, 6 (D) 6, 8.
Ans. :

60. The numbers of regions and nodes in the given network are
(A) 3, 2 (B) 3, 3
(C) 4, 2 (D) 4, 5
Ans. :