This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the given figure, ∠AOC and ∠BOC form a linear pair. If a−2b=30∘, find a. |
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Answer» In the given figure, ∠AOC and ∠BOC form a linear pair. If a−2b=30∘, find a. |
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| 2. |
"All the changes in the weather are caused by the sun." Do you agree with this statement? If yes, Explain. |
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Answer» "All the changes in the weather are caused by the sun." Do you agree with this statement? If yes, Explain. |
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| 3. |
A right angle triangle of base 4 cm and height 3 cm is revolved about its height. The surface area and volume of obtained solid figure are respectively. |
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Answer» A right angle triangle of base 4 cm and height 3 cm is revolved about its height. The surface area and volume of obtained solid figure are respectively. |
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| 4. |
In the given figure, AP ∥ BQ ∥ CR. What will be (△AQC)? |
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Answer» In the given figure, AP ∥ BQ ∥ CR. What will be (△AQC)? |
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| 5. |
In △NVY, if NV=VY and VY≠ YN, then which of the following is true? |
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Answer» In △NVY, if NV=VY and VY≠ YN, then which of the following is true? |
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| 6. |
If (mi,1mi), i = 1, 2, 3, 4 are con - cyclic points, then the value of m1m2m3m4 is |
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Answer» If (mi,1mi), i = 1, 2, 3, 4 are con - cyclic points, then the value of m1m2m3m4 is |
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| 7. |
If x=√5+2√65−2√6,then x2(x−10)2= |
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Answer» If x=√5+2√65−2√6,then x2(x−10)2= |
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| 8. |
Find the solution to the following system of linear equations: 3x-y+9=0 3x+4y-6=0 |
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Answer» Find the solution to the following system of linear equations: 3x-y+9=0 3x+4y-6=0 |
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| 9. |
Question 9 An ice cream cone full of ice cream having radius 5 cm and height 10 cm as shown in figure. Calculate the volume of ice- cream, provided that its 16part is left unfilled with ice – cream. |
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Answer» Question 9 |
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| 10. |
Find the measure of OC. |
Answer» Find the measure of OC.
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| 11. |
The lateral surface area of a cube is 256 m2. The volume of the cube is ______. |
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Answer» The lateral surface area of a cube is 256 m2. The volume of the cube is ______. |
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| 12. |
Find the angle x from the figure if ABCD is a parallelogram in which ∠A:∠B=1:4. Also, ΔDEF is an isosceles triangle with DE = DF. |
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Answer» Find the angle x from the figure if ABCD is a parallelogram in which ∠A:∠B=1:4. Also, ΔDEF is an isosceles triangle with DE = DF.
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| 13. |
If A, B, C, D, are the angles of cyclic quadrilateral, then |
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Answer» If A, B, C, D, are the angles of cyclic quadrilateral, then |
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| 14. |
If the probability of winning a game is 0.9 then, the probability of losing the game is |
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Answer» If the probability of winning a game is 0.9 then, the probability of losing the game is |
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| 15. |
With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ? |
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Answer» With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ? |
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| 16. |
Which of the following options have the area split in the same way as shown in the following figure? |
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Answer» Which of the following options have the area split in the same way as shown in the following figure? |
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| 17. |
If A is a subset of B, then A - B is ___. |
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Answer» If A is a subset of B, then A - B is ___. |
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| 18. |
Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the line joining the points of trisection of the line AB. |
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Answer» Find the ratio in which the midpoint of A(12, 8) and B(4, 6) divides the line joining the points of trisection of the line AB. |
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| 19. |
Only 60% and 50% of eligible voters of town A and B respectively, cast their vote in the election. The total number of votes cast were 1200. Which of the following linear equations represents this scenario accurately? (Assume number of eligible voters in town A to be x and in town B to be y) |
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Answer» Only 60% and 50% of eligible voters of town A and B respectively, cast their vote in the election. The total number of votes cast were 1200. |
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| 20. |
6√5√3 can also be written as : |
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Answer» 6√5√3 can also be written as : |
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| 21. |
G is the centroid of triangle ABC. If AG=BC, then find the value of angle BGC. |
| Answer» G is the centroid of triangle ABC. If AG=BC, then find the value of angle BGC. | |
| 22. |
Let P, Q, R and S be the points on the plane with position vectors −2^i−^j,4^i,3^i+3^j and −3^i+2^j, respectively. The quadrilateral PQRS must be a |
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Answer» Let P, Q, R and S be the points on the plane with position vectors |
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| 23. |
ABCD is a cyclic quadrilateral in a circle with centre O. If angle ADC = 130o; then angle BAC is |
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Answer» ABCD is a cyclic quadrilateral in a circle with centre O. If angle ADC = 130o; then angle BAC is
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| 24. |
Question 16 What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume:3x2−12x(i) Volume:12ky2+8ky−20k(ii) |
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Answer» Question 16 What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume:3x2−12x(i) Volume:12ky2+8ky−20k(ii) |
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| 25. |
If the point (5,4) lies on the graph of the equation 7y = ax+8, find the value of a. [3 MARKS] |
| Answer» If the point (5,4) lies on the graph of the equation 7y = ax+8, find the value of a. [3 MARKS] | |
| 26. |
Question 2 Evaluate the following products without multiplying directly: (i) 100 × 107 (ii) 95 × 96 (iii) 104 × 96 |
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Answer» Question 2 Evaluate the following products without multiplying directly: (i) 100 × 107 (ii) 95 × 96 (iii) 104 × 96 |
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| 27. |
A wire attached to a vertical pole of height 18m is 24m long and has a stake attached to its other end. How far from the base of the pole should the stake be driven so that the wire will be taut? |
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Answer» A wire attached to a vertical pole of height 18m is 24m long and has a stake attached to its other end. How far from the base of the pole should the stake be driven so that the wire will be taut? |
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| 28. |
In the given figure, side BC of ΔABChas been produced on the left-hand side from B to D and on the right-hand side from C to E. If ∠ABD=106∘ and ∠ACE=118∘,find the measure of each anlge of the triangle. |
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Answer» In the given figure, side BC of ΔABChas been produced on the left-hand side from B to D and on the right-hand side from C to E. If ∠ABD=106∘ and ∠ACE=118∘,find the measure of each anlge of the triangle.
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| 29. |
In the figure, D and E are two poins on BC such that BD = De = EC. Show that ar (△ABD)=ar(△ADE)=ar(△AEC). |
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Answer» In the figure, D and E are two poins on BC such that BD = De = EC. Show that ar (△ABD)=ar(△ADE)=ar(△AEC). |
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| 30. |
Prove that the bisectors of a pair of vertically opposite angles are in the same straight line. |
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Answer» Prove that the bisectors of a pair of vertically opposite angles are in the same straight line. |
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| 31. |
From the choices given below, choose the equation whose graph is given in the figure. (i) y=x+2 (ii) y=x−2 (iii) y=−x+2 (iv) x+2y=6 |
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Answer» From the choices given below, choose the equation whose graph is given in the figure. (i) y=x+2 (ii) y=x−2 (iii) y=−x+2 (iv) x+2y=6
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| 32. |
Find the circumeference of the circle having radius 1cm. |
| Answer» Find the circumeference of the circle having radius 1cm. | |
| 33. |
Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region. |
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Answer» Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region. |
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| 34. |
Factorise 64a3−27b3−144a2b+108ab2 |
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Answer» Factorise |
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| 35. |
Question 6(d) Write the predecessor of: 7654321 |
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Answer» Question 6(d) |
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| 36. |
If x+1x=4, then x4+1x4= |
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Answer» If x+1x=4, then x4+1x4= |
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| 37. |
What do you call the most frequent observation in the data? __ |
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Answer» What do you call the most frequent observation in the data? |
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| 38. |
In the given figure, straight lines PQ and RS intersect at O. If the magnitude of θ is 3 times that of ϕ, then ∠ϕ is equal to: |
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Answer»
In the given figure, straight lines PQ and RS intersect at O. If the magnitude of θ is 3 times that of ϕ, then ∠ϕ is equal to: |
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| 39. |
All right angles are ___ . |
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Answer» All right angles are |
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| 40. |
(997)² ? |
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Answer» (997)² ? |
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| 41. |
A metal pipe is 77cm long the inner diameter of a cross section is 4cm,the outer diameter is 4.4cm find its total surface area |
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Answer» A metal pipe is 77cm long the inner diameter of a cross section is 4cm,the outer diameter is 4.4cm find its total surface area |
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| 42. |
Multiply (6k−1)(k2+2k−4) |
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Answer» Multiply (6k−1)(k2+2k−4) |
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| 43. |
(Cube root x2)3/4 |
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Answer» (Cube root x2)3/4 |
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| 44. |
In △ ABC, right angled at B, ∠ACB = 60∘, Values of sec C and cosec C are : |
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Answer» In △ ABC, right angled at B, ∠ACB = 60∘, Values of sec C and cosec C are : |
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| 45. |
If ab = cd, then which of the following statement is true? |
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Answer» If ab = cd, then which of the following statement is true? |
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| 46. |
Solve: 3×√8×3×√2 |
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Answer» Solve: 3×√8×3×√2 |
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| 47. |
Which of these is the most accurate description of a figure which is a kite as well as a parallelogram? |
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Answer» Which of these is the most accurate description of a figure which is a kite as well as a parallelogram? |
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| 48. |
The product of a non - zero rational number with an irrational number is |
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Answer» The product of a non - zero rational number with an irrational number is |
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| 49. |
sec 5A∘=cosec(A−30)∘, then the value of A in degrees is ____ .20 |
Answer» sec 5A∘=cosec(A−30)∘, then the value of A in degrees is ____ .
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| 50. |
Two adjacent angles of a parallelogram are in the ratio 2: 3, the measure of angles will be |
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Answer» Two adjacent angles of a parallelogram are in the ratio 2: 3, the measure of angles will be |
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