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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. |
Question 5(√3+1)(3−cot 30∘)=tan3 60∘−2 sin 60∘ |
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Answer» Question 5 (√3+1)(3−cot 30∘)=tan3 60∘−2 sin 60∘ |
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| 2. |
Two different dice are tossed together. Find the probability that(i) the number on each die is even,(ii) the sum of the numbers appearing on the two dice is 5. |
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Answer» Two different dice are tossed together. Find the probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on the two dice is 5. |
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| 3. |
A die is thrown once. What is the probability of getting a prime number? |
| Answer» A die is thrown once. What is the probability of getting a prime number? | |
| 4. |
Question 28(i) The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. Determine the probability that the card is a heart |
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Answer» Question 28(i) The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. Determine the probability that the card is a heart |
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| 5. |
Question 2 (i) Find the value of 'k', for which the following points are collinear. (i) (7, -2), (5, 1), (3, k) |
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Answer» Question 2 (i) Find the value of 'k', for which the following points are collinear. (i) (7, -2), (5, 1), (3, k) |
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| 6. |
Question 4Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer. |
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Answer» Question 4 |
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| 7. |
D and E are the points on the sides AB and AC respectively of a ∆ABC such that: AD = 8 cm, DB = 12 cm, AE = 6 cm and CE = 9 cm, Prove that BC = 5/2 DE. |
| Answer» D and E are the points on the sides AB and AC respectively of a ∆ABC such that: AD = 8 cm, DB = 12 cm, AE = 6 cm and CE = 9 cm, Prove that BC = 5/2 DE. | |
| 8. |
Match the following(i) MeanA. Typical value(ii) MedianB. Most popular value(iii) ModeC. Gets highly affected by extreme values |
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Answer» Match the following |
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| 9. |
35. Two circular flower beds have been shown on two sides of a square lawn ABCD of side 56m. If the centre of each circular flower bed is the point of intersection O of the diagonals of square lawn, find the sum of the lawn and flower beds. |
| Answer» 35. Two circular flower beds have been shown on two sides of a square lawn ABCD of side 56m. If the centre of each circular flower bed is the point of intersection O of the diagonals of square lawn, find the sum of the lawn and flower beds. | |
| 10. |
The probability expressed as a percentage of a particular occurrence can never be less than _________ and greater than _________. |
| Answer» The probability expressed as a percentage of a particular occurrence can never be less than _________ and greater than _________. | |
| 11. |
How many steps will be required to complete the rearrangement for the given input? |
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Answer» How many steps will be required to complete the rearrangement for the given input? |
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| 12. |
The denominator of a fraction is 3 more than its numerator. The sum of the fraction and its reciprocal is 2910. Find the fraction. |
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Answer» The denominator of a fraction is 3 more than its numerator. The sum of the fraction and its reciprocal is 2910. Find the fraction. |
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| 13. |
35. AB,BC and AC are tangents to the circle at E,D and F respectively. If ∠EBD = a0, ∠FCD= b0. Find ∠EDF |
| Answer» 35. AB,BC and AC are tangents to the circle at E,D and F respectively. If ∠EBD = a0, ∠FCD= b0. Find ∠EDF | |
| 14. |
For what value of k, is −2 a zero of the polynomial 3x2 + 4x + 2k? |
| Answer» For what value of k, is −2 a zero of the polynomial 3x2 + 4x + 2k? | |
| 15. |
Question 3 (iii) On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent. 32x+53y=7;9x−10y=14 |
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Answer» Question 3 (iii) |
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| 16. |
Question 7A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap. |
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Answer» Question 7 A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap. |
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| 17. |
Find the area of quadrilateral PQRS whose vertices are P(−5, −3), Q(−4, −6), R(2, −3) and S(1, 2).[CBSE 2015] |
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Answer» Find the area of quadrilateral PQRS whose vertices are P(−5, −3), Q(−4, −6), R(2, −3) and S(1, 2). [CBSE 2015] |
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| 18. |
If alpha and bita are the zeros of polynomial f(x) = x2-5x+4 then find the vale of 1/alpha + 1/bita-2alpha x bita |
| Answer» If alpha and bita are the zeros of polynomial f(x) = x2-5x+4 then find the vale of 1/alpha + 1/bita-2alpha x bita | |
| 19. |
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:3x2-26x+2=0 [CBSE 2012] |
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Answer» Find the roots of each of the following equations, if they exist, by applying the quadratic formula: [CBSE 2012] |
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| 20. |
Question 8A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Assume π=227] |
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Answer» Question 8 |
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| 21. |
From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of β and α respectively. What is the distance between the top of the building and the top of the tower if tanα=512 and tanβ=45. |
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Answer» From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of β and α respectively. What is the distance between the top of the building and the top of the tower if tanα=512 and tanβ=45. |
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| 22. |
A and B are partners in a firm sharing profits and losses in the ratio of 3 : 2. A new partner C is admitted. A surrenders 1/5th of his share and B surrenders 2/5th of his share and B surrenders 2/5th of his share in favour of C. For the purpose of C's admission, goodwill of the firm is valued at ₹ 75,000 and C brings in his share of goodwill in cash which is retained in the firm's books. Journalise the above transactions. |
| Answer» A and B are partners in a firm sharing profits and losses in the ratio of 3 : 2. A new partner C is admitted. A surrenders 1/5th of his share and B surrenders 2/5th of his share and B surrenders 2/5th of his share in favour of C. For the purpose of C's admission, goodwill of the firm is valued at ₹ 75,000 and C brings in his share of goodwill in cash which is retained in the firm's books. Journalise the above transactions. | |
| 23. |
If the third and the eighth terms of an AP are 9 and -6 respectively, which term of this AP is zero? |
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Answer» If the third and the eighth terms of an AP are 9 and -6 respectively, which term of this AP is zero? |
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| 24. |
Solve the following systems of equations:x2+y=0.87x+y2=10 |
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Answer» Solve the following systems of equations: |
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| 25. |
With reference to the given figure. a metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and internal radius is 3.5 m. Calculate: [4 MARKS] (i) The total area of the internal surface excluding the base (ii) The internal volume of the container in m3. (Use π=227) |
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Answer» With reference to the given figure. a metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and internal radius is 3.5 m. Calculate: [4 MARKS] (i) The total area of the internal surface excluding the base (ii) The internal volume of the container in m3. (Use π=227)  |
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| 26. |
The minimum value of 4x + 41 – x, x ∈ R, is ___________. |
| Answer» The minimum value of 4x + 41 – x, x ∈ R, is ___________. | |
| 27. |
If A is an invertible matrix of order 3 and A = 5, then adj adj A = __________________. |
| Answer» If A is an invertible matrix of order 3 and = __________________. | |
| 28. |
Write the number of solutions of the following pair of linear equations: x+3y−4=0 and 2x+6y−7=0. |
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Answer» Write the number of solutions of the following pair of linear equations: x+3y−4=0 and 2x+6y−7=0. |
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| 29. |
The unit vector in the direction of sum of the vectors →A=2ˆi+4ˆj−7ˆk and →B=4ˆi−6ˆj+4ˆk will be |
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Answer» The unit vector in the direction of sum of the vectors →A=2ˆi+4ˆj−7ˆk and →B=4ˆi−6ˆj+4ˆk will be |
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| 30. |
Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? |
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Answer» Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? |
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| 31. |
If PA and PB are tangents to the circle with centre O such that ∠APB = 500, then ∠OAB is equal to(a) 250 (b) 300 (c) 400 (d) 500 |
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Answer» If PA and PB are tangents to the circle with centre O such that APB = 500, then OAB is equal to (a) 250 (b) 300 (c) 400 (d) 500 |
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| 32. |
In the given figure, if AB = AC, prove that BE = CE. |
Answer» In the given figure, if AB = AC, prove that BE = CE.
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| 33. |
A model of a ship is made to a scale 1 : 300 [3 MARKS] i) The length of the ship is 2m. Calculate the length of the ship. ii) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model. iii) The volume of the model is 6.5 m3. Calculate the volume of the ship. |
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Answer» A model of a ship is made to a scale 1 : 300 [3 MARKS] i) The length of the ship is 2m. Calculate the length of the ship. ii) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model. iii) The volume of the model is 6.5 m3. Calculate the volume of the ship. |
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| 34. |
1. If the segment joining the points (a,b),(c,d) subtends a right angle at the origin, then (1) ac-bd=0 (2) ac+bd=0 (3) ab+cd=0 (4) ab-cd=0 |
| Answer» 1. If the segment joining the points (a,b),(c,d) subtends a right angle at the origin, then (1) ac-bd=0 (2) ac+bd=0 (3) ab+cd=0 (4) ab-cd=0 | |
| 35. |
Mark the correct alternative in the following question:If x2-x3=5, then x=a 8 b 16 c 24 d 30 |
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Answer» Mark the correct alternative in the following question: |
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| 36. |
In the given figure P(5, −3) and Q(3, y) are the points of trisection of the line segmentjoining A(7, −2) and B(1, −5). Then, y equals [CBSE 2012] (a) 2 (b) 4 (c) −4 (d) -52 |
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Answer» In the given figure P(5, −3) and Q(3, y) are the points of trisection of the line segment joining A(7, −2) and B(1, −5). Then, y equals [CBSE 2012]  (a) 2 (b) 4 (c) −4 (d) |
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| 37. |
The scale factor for constructing similar triangles is given by the __ of corresponding sides of triangles. |
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Answer» The scale factor for constructing similar triangles is given by the |
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| 38. |
If alpha and beta are zeros of polynomial 6x2 - 7x - 3, then form a quadratic polynomial whose zeros are 2 alpha and 2 Beta. |
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Answer» If alpha and beta are zeros of polynomial 6x2 - 7x - 3, then form a quadratic polynomial whose zeros are 2 alpha and 2 Beta. |
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| 39. |
Explain why 3 x 5 x 7 x 11 + 11 is a composite number ? |
| Answer» Explain why 3 x 5 x 7 x 11 + 11 is a composite number ? | |
| 40. |
Question 13(ii) The following are the ages of 300 patients getting medical treatment in a hospital on a particular day Age(in year)10−2020−3030−4040−5050−6060−70Number of patients604255705320 Form (ii) More than type cumulative frequency distribution. |
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Answer» Question 13(ii) The following are the ages of 300 patients getting medical treatment in a hospital on a particular day Age(in year)10−2020−3030−4040−5050−6060−70Number of patients604255705320 Form (ii) More than type cumulative frequency distribution. |
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| 41. |
Find the common root of the given quadratic equations.x2−4=0 and x2−5x+6=02 |
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Answer» Find the common root of the given quadratic equations. x2−4=0 and x2−5x+6=0
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| 42. |
The difference between the inner surface area and the outer surface area of a hollow cylinder having height 7 cm and inner and outer radius of 3 cm and 4 cm respectively is: |
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Answer» The difference between the inner surface area and the outer surface area of a hollow cylinder having height 7 cm and inner and outer radius of 3 cm and 4 cm respectively is: |
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| 43. |
A passenger takes 2 minutes standing on amoving escalator to reach the top. If escalator isstationary he takes 3 minutes to walk up. Timetaken to reach the top when he walk up on movingrhescalator(2) 5 minutes(1) 2.4 minutes(4) 1.2 minutes(3) 1 minute |
| Answer» A passenger takes 2 minutes standing on amoving escalator to reach the top. If escalator isstationary he takes 3 minutes to walk up. Timetaken to reach the top when he walk up on movingrhescalator(2) 5 minutes(1) 2.4 minutes(4) 1.2 minutes(3) 1 minute | |
| 44. |
If from any point on the common chord of two intersecting circles, †an gents be drawn to the circles, prove that they are equal |
| Answer» If from any point on the common chord of two intersecting circles, †an gents be drawn to the circles, prove that they are equal | |
| 45. |
How to draw the structure of IBr2-? |
| Answer» How to draw the structure of IBr2-? | |
| 46. |
In the given figure ∠ABC=50∘, then angle ∠BEA is equal to? |
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Answer» In the given figure ∠ABC=50∘, then angle ∠BEA is equal to? |
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| 47. |
Three unbiased coins are tossed simultaneously. The probability of getting at least two tails is |
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Answer» Three unbiased coins are tossed simultaneously. The probability of getting at least two tails is |
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| 48. |
There are 121 articles in a bag. Out of which 11 are defective articles. If you just pick one article at random, (i)what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw. |
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Answer» There are 121 articles in a bag. Out of which 11 are defective articles. If you just pick one article at random, (i)what is the probability of picking the non-defective article? (ii) If the article drawn the first time is non-defective and is not replaced, then find the probability of getting the defective article in the next draw. |
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| 49. |
The radii of the base of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. What is the ratio of their volumes? |
| Answer» The radii of the base of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. What is the ratio of their volumes? | |
| 50. |
AD is the altitude from A in the ΔABC and DB : CD = 3 : 1. Prove that BC2 = 2 (AB2 − AC2). |
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Answer» AD is the altitude from A in the ΔABC and DB : CD = 3 : 1. Prove that BC2 = 2 (AB2 − AC2). |
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