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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. |
From the given histogram find the cumulative frequency for class interval 20-30. |
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Answer» From the given histogram find the cumulative frequency for class interval 20-30.
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| 2. |
A positive integer a is written as a a = 3q + r and a = 4k + r ,where q,k,r, are whole numbers. choose the possibilites of q and k ? (A) q =4 ; k = 6 (b) q =3; k = 4 (c) q = 6; k = 8 (d) q = 8; k = 6 |
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Answer» A positive integer a is written as a a = 3q + r and a = 4k + r ,where q,k,r, are whole numbers. choose the possibilites of q and k ? (A) q =4 ; k = 6 (b) q =3; k = 4 (c) q = 6; k = 8 (d) q = 8; k = 6 |
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| 3. |
What is the probability that a leap year selected at a random will contain 53 thursday |
| Answer» What is the probability that a leap year selected at a random will contain 53 thursday | |
| 4. |
From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be 30∘ and 60∘. Find the height of the tower. |
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Answer» From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be 30∘ and 60∘. Find the height of the tower. |
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| 5. |
The cost of diamond varies directly as the square of its weight. A diamond weighing10 decigrams cost Rs. 8,000. If it breaks into two pieces whose weights are in the ratio 3: 2, then the loss incurred (in rupees) is |
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Answer» The cost of diamond varies directly as the square of its weight. A diamond weighing10 decigrams cost Rs. 8,000. If it breaks into two pieces whose weights are in the ratio 3: 2, then the loss incurred (in rupees) is |
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| 6. |
If arc ABC=120∘ and arc CDE=100∘, then the measure of arc ACE is equal to? |
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Answer» If arc ABC=120∘ and arc CDE=100∘, then the measure of arc ACE is equal to? |
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| 7. |
If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the volume of the sphere will be6:π. |
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Answer»
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| 8. |
If |u|<1,|v|<1, and z=u−v1+¯uv, then least value of |z| is |
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Answer» If |u|<1,|v|<1, and z=u−v1+¯uv, then least value of |z| is |
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| 9. |
Find two no. such that the mean propoortional between them is 28 and the third proportional to them is 224. |
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Answer» Find two no. such that the mean propoortional between them is 28 and the third proportional to them is 224. |
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| 10. |
Mr. Arnab holds an account in the Union Bank. Following are the details of his passbook. DateParticualrsWithdrawals(inRs.)Deposits(inRs)Balance(InRs)08.02.06B/F−−−−−−−−−−−−−−−8,500.0018.02.06To Self4,000.00−−−−−−−−−−−−12.04.06By Cash−−−−−−2,238−−−−−−15.06.06To Self5,000.00−−−−−−−−−−−−08.07.06By Cash−−−−−−6,000−−−−−− Complete the details of his passbook and calculate the interest for the period of six months that is from February to July 2006, at 9% per annum. |
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Answer» Mr. Arnab holds an account in the Union Bank. Following are the details of his passbook. DateParticualrsWithdrawals(inRs.)Deposits(inRs)Balance(InRs)08.02.06B/F−−−−−−−−−−−−−−−8,500.0018.02.06To Self4,000.00−−−−−−−−−−−−12.04.06By Cash−−−−−−2,238−−−−−−15.06.06To Self5,000.00−−−−−−−−−−−−08.07.06By Cash−−−−−−6,000−−−−−− Complete the details of his passbook and calculate the interest for the period of six months that is from February to July 2006, at 9% per annum. |
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| 11. |
A small indoor greenhouse is made entirely of glass panes held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. Find the length of the tape needed to cover all the 12 edges. |
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Answer» A small indoor greenhouse is made entirely of glass panes held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. Find the length of the tape needed to cover all the 12 edges. |
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| 12. |
In the above given figure, PB = 9 cm, CP = 4 cm and TP is a tangent at T. Find PT. |
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Answer» In the above given figure, PB = 9 cm, CP = 4 cm and TP is a tangent at T. Find PT.
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| 13. |
If △ABC ∼ △DEF such that area of △ ABC is 9 cm2 and the area of △DEF is 25cm2 and BC=2.1cm. Find the length of EF. |
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Answer» If △ABC ∼ △DEF such that area of △ ABC is 9 cm2 and the area of △DEF is 25cm2 and BC=2.1cm. Find the length of EF. |
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| 14. |
Question 4 A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 8 per 100 square centimetres. |
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Answer» Question 4 A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 8 per 100 square centimetres. |
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| 15. |
The equation of the straight line making an intercept of 3 units on the y-axis and inclined at 45∘ to the x-axis is ___________ . |
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Answer» The equation of the straight line making an intercept of 3 units on the y-axis and inclined at 45∘ to the x-axis is ___________ . |
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| 16. |
Question 17 Which of the following is a factor of (x+y)3–(x3+y3)? A) x2+y2+2xy B) x2+y2–xy C) xy2 D) 3xy |
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Answer» Question 17 Which of the following is a factor of (x+y)3–(x3+y3)? A) x2+y2+2xy B) x2+y2–xy C) xy2 D) 3xy |
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| 17. |
If a rectangular box of length 14 cm, breadth 22 cm, and height 14 cm is converted into a cylindrical box whose height is 7 cm, then find the radius of the converted cylindrical box. |
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Answer» If a rectangular box of length 14 cm, breadth 22 cm, and height 14 cm is converted into a cylindrical box whose height is 7 cm, then find the radius of the converted cylindrical box. |
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| 18. |
tan 7∘ tan 23∘ tan 60∘ tan 67∘ tan 83∘= |
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Answer» tan 7∘ tan 23∘ tan 60∘ tan 67∘ tan 83∘= |
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| 19. |
"A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of: |
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Answer» "A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of: |
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| 20. |
ABCD is a parallelogram with diagonal AC. If a line XZ is drawn such that XZ∥AB and cuts AC at Y then, findBXXC. |
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Answer» ABCD is a parallelogram with diagonal AC. If a line XZ is drawn such that XZ∥AB and cuts AC at Y then, findBXXC.
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| 21. |
If sec A=54, verify that 3 sin A−4 sin3 A4 cos3 A−3 cos A=3 tan A−tan3 A1−3 tan2 A |
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Answer» If sec A=54, verify that 3 sin A−4 sin3 A4 cos3 A−3 cos A=3 tan A−tan3 A1−3 tan2 A |
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| 22. |
If α,β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9, then what is the value of p? |
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Answer» If α,β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9, then what is the value of p? |
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| 23. |
12 : 21 and 72 :126 are in proportion. The correct relation will be |
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Answer» 12 : 21 and 72 :126 are in proportion. The correct relation will be |
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| 24. |
Find the zeroes of the following quadratic polynomial 6x2+x−5. |
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Answer» Find the zeroes of the following quadratic polynomial 6x2+x−5. |
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| 25. |
The construction of triangle ΔA′C′B similar to triangle ΔACB is shown in the figure below. Choose the correct option: |
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Answer» The construction of triangle ΔA′C′B similar to triangle ΔACB is shown in the figure below. Choose the correct option: |
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| 26. |
The speed of an ordinary train is x km per hr and that of an express train is (x + 25) km per hr. (i) Find the time taken by each train to cover 300 km. (ii) If the ordinary train takes 2 hrs more than the express train; calculate speed of the express train. |
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Answer» The speed of an ordinary train is x km per hr and that of an express train is (x + 25) km per hr. (i) Find the time taken by each train to cover 300 km. (ii) If the ordinary train takes 2 hrs more than the express train; calculate speed of the express train. |
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| 27. |
Question 2(iv) Represent the following situations in the form of quadratic equations. (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train |
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Answer» Question 2(iv) Represent the following situations in the form of quadratic equations. (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train |
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| 28. |
Solve for x and y: 6(ax+by)=3a+2b,6(bx−ay)=3b−2a. |
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Answer» Solve for x and y: 6(ax+by)=3a+2b,6(bx−ay)=3b−2a. |
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| 29. |
In the given figure, quad. ABCD is circumscribed, touching the circle at P, Q, R and S. If AP = 16 cm, BP = 5 cm, CQ = 3 cm adn DR = 4 cm then perimeter of quad. ABCD is (a) 18 cm (b) 27 cm (c) 36 cm (d) 32 cm |
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Answer» In the given figure, quad. ABCD is circumscribed, touching the circle at P, Q, R and S. If AP = 16 cm, BP = 5 cm, CQ = 3 cm adn DR = 4 cm then perimeter of quad. ABCD is (a) 18 cm (b) 27 cm (c) 36 cm (d) 32 cm
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| 30. |
Question 2 (iii) Find the sums given below. (iii) − 5 + (− 8) + (− 11) + ………… + (− 230) |
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Answer» Question 2 (iii) Find the sums given below. (iii) − 5 + (− 8) + (− 11) + ………… + (− 230) |
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| 31. |
Find the equation of the line parallel to the line 3x - 5y = 7 and passing through the point which divides the line segment joining the points (-3, 3) and (2, -7) ain the ratio 2 : 3 |
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Answer» Find the equation of the line parallel to the line 3x - 5y = 7 and passing through the point which divides the line segment joining the points (-3, 3) and (2, -7) ain the ratio 2 : 3 |
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| 32. |
Find the roots of the equation x2–18x+12=0 by the method of completing the square. |
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Answer» Find the roots of the equation x2–18x+12=0 by the method of completing the square. |
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| 33. |
Which of the following statments are false ? |
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Answer» Which of the following statments are false ? |
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| 34. |
Question 15 A vertical pole of a length 6 m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. |
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Answer» Question 15 A vertical pole of a length 6 m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. |
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| 35. |
When x4+x3−2x2+x+1 is divided by x-1, the remainder is 2 and the quotient is q(x). Find q(x). |
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Answer» When x4+x3−2x2+x+1 is divided by x-1, the remainder is 2 and the quotient is q(x). Find q(x). |
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| 36. |
Question 10 Prove that √3+√5 irrational |
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Answer» Question 10 Prove that √3+√5 irrational |
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| 37. |
What is the value of eln x2? |
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Answer» What is the value of eln x2? |
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| 38. |
Find the inter-quartile range for the following data: 3,11,32,8,14,1,10,27,22,4,30 |
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Answer» Find the inter-quartile range for the following data: 3,11,32,8,14,1,10,27,22,4,30 |
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| 39. |
Which of the following statements are true always? |
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Answer» Which of the following statements are true always? |
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| 40. |
In the given parallelogram ABCD, find the coordinates of D. |
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Answer» In the given parallelogram ABCD, find the coordinates of D. |
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| 41. |
The product of slopes of two perpendicular lines is ___ . |
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Answer» The product of slopes of two perpendicular lines is |
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| 42. |
Question 4 (ii) Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically: x - y = 8, 3x - 3y = 16 |
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Answer» Question 4 (ii) Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically: x - y = 8, 3x - 3y = 16 |
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| 43. |
Question 1 (iii) Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 6x2−3−7x |
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Answer» Question 1 (iii) 6x2−3−7x |
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| 44. |
Observe the given pattern and identify what comes next? |
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Answer» Observe the given pattern and identify what comes next? |
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| 45. |
AC and BC are two equal chords of a circle with diameter AB forming a ΔABC as shown in the figure. If the equal chords have length 20 cm, then the area of the circle is equal to |
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Answer» AC and BC are two equal chords of a circle with diameter AB forming a ΔABC as shown in the figure. If the equal chords have length 20 cm, then the area of the circle is equal to
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| 46. |
Sides AB and AC and median AD Of a triangle ABC are respectively Proportional to sides PQ and PR and median PM of another triangle PQR show that Triangle ABC ~Triangle PQR. |
| Answer» Sides AB and AC and median AD Of a triangle ABC are respectively Proportional to sides PQ and PR and median PM of another triangle PQR show that Triangle ABC ~Triangle PQR. | |
| 47. |
A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball? |
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Answer» A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball? |
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| 48. |
Find the values of cot θ and cosec θ in the figure given above. |
Answer»  Find the values of cot θ and cosec θ in the figure given above. |
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| 49. |
Question 3 (iii) Express 0.¯¯¯¯¯¯¯¯001 in the form pq, where p and q are integers and q≠0. |
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Answer» Question 3 (iii) |
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| 50. |
What term should be added to a2+2ab to make it a perfect square? |
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Answer» What term should be added to a2+2ab to make it a perfect square? |
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