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 Fig. 7, OABC is a rectangle inscribed in a quadrant of a circle of radius 25 cm. Find the area of the rectangle, if OC = 7 cm. |
Answer» In Fig. 7, OABC is a rectangle inscribed in a quadrant of a circle of radius 25 cm. Find the area of the rectangle, if OC = 7 cm.
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| 2. |
the base of an isosceles triangle measures 80cm and its area is 360 cm sq. find its perimeter. |
| Answer» the base of an isosceles triangle measures 80cm and its area is 360 cm sq. find its perimeter. | |
| 3. |
A non-terminating and non-recurring decimal number is known as a/an _________. |
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Answer» A non-terminating and non-recurring decimal number is known as a/an _________. |
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| 4. |
Is ∗ defined on the set A ={1,2,3,4,5}by a∗b=LCM of a and b, a binary operation ? Justify your answer. |
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Answer» Is ∗ defined on the set A ={1,2,3,4,5}by a∗b=LCM of a and b, a binary operation ? Justify your answer. |
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| 5. |
In the given figure, O is the centre of the circle. Tap on the angle whose value will be 2x∘. |
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Answer» In the given figure, O is the centre of the circle. Tap on the angle whose value will be 2x∘. |
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| 6. |
Demographic |
| Answer» Demographic | |
| 7. |
The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____. |
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Answer» The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____. |
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| 8. |
Let f:(−π2, π2)→R be given by f(x) = [log(sec x+tan x)]3. Then |
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Answer» Let f:(−π2, π2)→R be given by f(x) = [log(sec x+tan x)]3. Then |
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| 9. |
Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is(a) ΔAOB(b) ΔBOC(c) ΔDOC(d) ΔADC |
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Answer» Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is (a) ΔAOB (b) ΔBOC (c) ΔDOC (d) ΔADC |
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| 10. |
Which of the following equations have x = 2, y = 1 as the solution? |
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Answer» Which of the following equations have x = 2, y = 1 as the solution? |
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| 11. |
If 3x-y5=10 and xy=5, then the value of 27x3-y3125 is ____________. |
| Answer» If , then the value of is ____________. | |
| 12. |
Question 1The graphs of y = p(x) are given in the following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. |
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Answer» Question 1
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| 13. |
If one zero of the quadratic polynomial (a2+9)x2+13x+6a is reciprocal of the other, then find the value of a. |
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Answer» If one zero of the quadratic polynomial (a2+9)x2+13x+6a is reciprocal of the other, then find the value of a. |
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| 14. |
Find the area of the trapezium PQRS. |
Answer» Find the area of the trapezium PQRS.![]() |
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| 15. |
Question 1 (i)Find area of the triangle whose vertices are:(i) (2, 3), (-1, 0), (2, -4) |
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Answer» Question 1 (i) Find area of the triangle whose vertices are: (i) (2, 3), (-1, 0), (2, -4) |
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| 16. |
If the sides of a ∆ABC are a, b, a2+ab+b2, then the measure of the largest angle is ____________. |
| Answer» If the sides of a ∆ABC are then the measure of the largest angle is ____________. | |
| 17. |
if the sum of the total surface area of a sphere and a cylinder having same radii and hieght of cylinder being equal to its radius is 8π sq. units . then the sum of volumes is |
| Answer» if the sum of the total surface area of a sphere and a cylinder having same radii and hieght of cylinder being equal to its radius is 8π sq. units . then the sum of volumes is | |
| 18. |
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6:05 am and 6:40 am. |
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Answer» The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6:05 am and 6:40 am. |
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| 19. |
From the following particulars, ascertain the bank balance as per Pass Book as on 31st March, 2019 (a) without correcting the Cash Book balance and (b) after correcting the Cash Book balance:(i) The bank balance as per Cash Book on 31st March, 2019 ₹ 40,000.(ii) Cheques issued but not encashed up to 31st March, 2019 amounted to ₹ 10,000.(iii) Cheques paid into the bank, but not cleared up to 31st March, 2019 amounted to ₹ 15,000.(iv) Interest on investments collected by the bank but not entered in the Cash Book ₹ 500.(v) Cheques deposited in the bank but not entered in the Cash Book ₹ 12,500.(vi) Bank charges debited in the Pass Book but not entered in the Cash Book ₹ 100. |
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Answer» From the following particulars, ascertain the bank balance as per Pass Book as on 31st March, 2019 (a) without correcting the Cash Book balance and (b) after correcting the Cash Book balance: (i) The bank balance as per Cash Book on 31st March, 2019 ₹ 40,000. (ii) Cheques issued but not encashed up to 31st March, 2019 amounted to ₹ 10,000. (iii) Cheques paid into the bank, but not cleared up to 31st March, 2019 amounted to ₹ 15,000. (iv) Interest on investments collected by the bank but not entered in the Cash Book ₹ 500. (v) Cheques deposited in the bank but not entered in the Cash Book ₹ 12,500. (vi) Bank charges debited in the Pass Book but not entered in the Cash Book ₹ 100. |
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| 20. |
What does it mean when written in question that to: find the coordinates of the points where the graph drawn meets the coordinate axes |
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Answer» What does it mean when written in question that to: find the coordinates of the points where the graph drawn meets the coordinate axes |
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| 21. |
An irrational number between 3 and 4 is . |
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Answer» An irrational number between 3 and 4 is |
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| 22. |
Question 16What 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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| 23. |
Which of the following is the index form of the polynomial p(x)=2x−7x2+8+6x4 ? |
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Answer» Which of the following is the index form of the polynomial p(x)=2x−7x2+8+6x4 ? |
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| 24. |
C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm. |
| Answer» C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm. | |
| 25. |
Question 3 (i)Prove that 1√2 is irrational. |
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Answer» Question 3 (i) |
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| 26. |
It is not possible to construct a triangle when its sides are: |
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Answer» It is not possible to construct a triangle when its sides are: |
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| 27. |
Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers al the four sides and the top of the car (with the front face as flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m witt base dimensions 4 m ✕ 3 m? |
| Answer» Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers al the four sides and the top of the car (with the front face as flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m witt base dimensions 4 m ✕ 3 m? | |
| 28. |
Question 126A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures 44 cm×33 cm |
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Answer» Question 126 A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures 44 cm×33 cm |
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| 29. |
The time taken, in seconds, to solve a problem by each of 25 pupils is as follows:16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.(b) Draw a histogram to represent the frequency distribution. |
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Answer» The time taken, in seconds, to solve a problem by each of 25 pupils is as follows: 16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20 (a) Construct a frequency distribution for these data, using a class interval of 10 seconds. (b) Draw a histogram to represent the frequency distribution. |
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| 30. |
The percentage error in the measurement of the2.radius of a sphere is 1%. The percentage error inmeasurement of surface area of the sphere is(2) 3%(1) 2%(31%(4) 4% |
| Answer» The percentage error in the measurement of the2.radius of a sphere is 1%. The percentage error inmeasurement of surface area of the sphere is(2) 3%(1) 2%(31%(4) 4% | |
| 31. |
write in ascending order 2^60,3^48,4^36,5^24 |
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Answer» write in ascending order 2^60,3^48,4^36,5^24 |
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| 32. |
The marks scored by 40 students of class IX in mathematics are given below:81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54Prepare a frequency distribution with class size of 10 marks. |
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Answer» The marks scored by 40 students of class IX in mathematics are given below: 81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54 Prepare a frequency distribution with class size of 10 marks. |
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| 33. |
i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______. ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm is____. |
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Answer»
i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______. ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm is____. |
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| 34. |
A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table:OutcomeFrequency116521753180415051456185 What is the probability of getting 2 or 4? |
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Answer» A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: OutcomeFrequency116521753180415051456185 What is the probability of getting 2 or 4? |
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| 35. |
Factorise: (a+2b)2+101(a+2b)+100 |
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Answer» Factorise: |
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| 36. |
Write the degree of the given polynomials.(i) 5 (ii)x° (iii) x2 (iv) 2 m10 - 7 (v) 2p - 7 (vi) 7y - y3 + y5 (vii) xyz +xy - z (viii) m3n7 - 3m5n + mn |
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Answer» Write the degree of the given polynomials. (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) |
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| 37. |
four points z1, z2, z3, z4, in complex plane such that |z1| < 1, |z3| = 1, |z2| |
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Answer» four points z1, z2, z3, z4, in complex plane such that |z1| < 1, |z3| = 1, |z2| <= 1 and z2 =z3(z1-z4)/(z1'z4 -1) then |z4| can be (1) 1/2 (2) 2/3 (3) 3/2 (4) 5/4 |
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| 38. |
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same? |
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Answer» A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same? |
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| 39. |
From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30∘ and 45∘, respectively. If the width of the river is 12 m , find the height at which the bridge is |
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Answer» From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30∘ and 45∘, respectively. If the width of the river is 12 m , find the height at which the bridge is |
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| 40. |
Reduce the fractions 348319 , 221247 , 437551 to the lowest terms. |
| Answer» Reduce the fractions , , to the lowest terms. | |
| 41. |
66.If X + 6 is a factor of P(x)=xcube+3xsq.+4x+k,find the value of k |
| Answer» 66.If X + 6 is a factor of P(x)=xcube+3xsq.+4x+k,find the value of k | |
| 42. |
Corner points of the feasible region determined by the system of linear constraints (0, 3), (1, 1) and (3, 0). Let z = px + qy, where p, q > 0. Condition on p and q so that the minimum of z occurs at (3, 0) and (1, 1) is(a) p = 2q(b) 2p = q(c) p = 3q(d) p = q |
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Answer» Corner points of the feasible region determined by the system of linear constraints (0, 3), (1, 1) and (3, 0). Let z = px + qy, where p, q > 0. Condition on p and q so that the minimum of z occurs at (3, 0) and (1, 1) is (a) p = 2q (b) 2p = q (c) p = 3q (d) p = q |
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| 43. |
A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is 20 m×10 m×20 m and the height of the tank is 5m. |
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Answer» A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is 20 m×10 m×20 m and the height of the tank is 5m. |
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| 44. |
If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is(a) 30 cm(b) 20 cm(c) 15 cm(d) 10 cm |
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Answer» If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is (a) 30 cm (b) 20 cm (c) 15 cm (d) 10 cm |
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| 45. |
i)Solve 43+56 ii)Solve −37+(−521). |
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Answer» i)Solve 43+56 ii)Solve −37+(−521). |
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| 46. |
Find three different irrational number between the rational number 5/7 and 9/11 |
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Answer» Find three different irrational number between the rational number 5/7 and 9/11 |
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| 47. |
In the above figure O is the center of the circle ∠AOB = 80∘, then match the following. AngleValue1. ACB a. 902. ADBb. 403. ABCc. 804. AOCd. 180 |
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Answer»
In the above figure O is the center of the circle ∠AOB = 80∘, then match the following.
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| 48. |
The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively. So which of the following is true? |
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Answer» The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively. |
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| 49. |
Why doesthe SMC curve cut the AVC curve at the minimum point of the AVCcurve? |
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Answer» Why does |
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| 50. |
x+y=18 and x−2y=0 Find the value of x and y. |
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Answer» x+y=18 and x−2y=0 Find the value of x and y. |
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