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. |
Radius of a circle is doubled. What will be the ratio of areas of the new circle to the area of the given circle? |
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Answer» Radius of a circle is doubled. What will be the ratio of areas of the new circle to the area of the given circle? |
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| 2. |
When we add any two natural numbers, the answer is always a _____. |
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Answer» When we add any two natural numbers, the answer is always a _____. |
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| 3. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20cm, 50cm and 50cm.How much cloth of each colour is required for the umbrella? [4 MARKS] |
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Answer» An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20cm, 50cm and 50cm.How much cloth of each colour is required for the umbrella? |
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| 4. |
Factorise: abx + aby - bcx - bcy |
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Answer» Factorise: abx + aby - bcx - bcy |
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| 5. |
cos22∘−sin22∘cos22∘+sin22∘ equal to tanA, 0∘ < A < 90∘ . Find the value of A. ___ |
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Answer» cos22∘−sin22∘cos22∘+sin22∘ equal to tanA, 0∘ < A < 90∘ . Find the value of A. |
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| 6. |
Two parallel chords 10 centimeters and 24 centimeters long are drawn on the same side of the centre of a circle of radius 13 centimeters. Find the distance between the chords. |
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Answer» Two parallel chords 10 centimeters and 24 centimeters long are drawn on the same side of the centre of a circle of radius 13 centimeters. Find the distance between the chords. |
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| 7. |
How many circles can be drawn passing through one point? |
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Answer» How many circles can be drawn passing through one point? |
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| 8. |
Divide x(3x2−27) by 3(x−3) |
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Answer» Divide x(3x2−27) by 3(x−3) |
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| 9. |
△ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.△ DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is - |
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Answer» △ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.△ DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is -
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| 10. |
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room? |
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Answer» Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room? |
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| 11. |
Question 3 Find the total surface area of a hemisphere of radius 10 cm. [Use π=3.14] |
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Answer» Question 3 |
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| 12. |
If Anu can eat 26 part of a medium pizza containing 6 slices, how many slices can Anu eat? |
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Answer» If Anu can eat 26 part of a medium pizza containing 6 slices, how many slices can Anu eat? |
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| 13. |
Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm? |
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Answer» Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm? |
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| 14. |
Which of the following is a true statement ? (a) The floor and a wall of a room are parallel planes. (b) The ceiling and a wall of a room are parallel planes. (c) The floor and the ceiling of a room are parallel planes. (d) Two adjacent walls of a room are parallel planes. |
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Answer» Which of the following is a true statement ? (a) The floor and a wall of a room are parallel planes. (b) The ceiling and a wall of a room are parallel planes. (c) The floor and the ceiling of a room are parallel planes. (d) Two adjacent walls of a room are parallel planes. |
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| 15. |
Which of the following is an irrational number? |
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Answer» Which of the following is an irrational number? |
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| 16. |
In the given figure, if BD=DC, AP=PC and area ΔBPC=20cm2, then area ΔABD= ___cm2 |
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Answer» In the given figure, if BD=DC, AP=PC and area ΔBPC=20cm2, then area ΔABD=
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| 17. |
How to solve: 10÷(3.14×3.14) |
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Answer» How to solve: 10÷(3.14×3.14) |
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| 18. |
Which of these pairs of lines are parallel? |
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Answer» Which of these pairs of lines are parallel? |
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| 19. |
4√3√22 equals to |
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Answer» 4√3√22 equals to |
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| 20. |
Q. The cost of a pen is four times the cost of a pencil. Write a linear equation in two variables to represent this situation. A. solution1 4x - y + 0=0 solution 2 4x-y = 0 I wanted to know which solution is correct and why? |
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Answer» Q. The cost of a pen is four times the cost of a pencil. Write a linear equation in two variables to represent this situation. A. solution1 4x - y + 0=0 solution 2 4x-y = 0 I wanted to know which solution is correct and why? |
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| 21. |
Two cylinders of same cross section and length L but made of two material of density p1 and p2 RC mentors together to form a cylinder of length 2L if the combination floats in water with the length L by 2 above the surface of water and p11g /cm³ b) p2>3/2 g/cm³ c) p1 |
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Answer» Two cylinders of same cross section and length L but made of two material of density p1 and p2 RC mentors together to form a cylinder of length 2L if the combination floats in water with the length L by 2 above the surface of water and p1 b) p2>3/2 g/cm³ c) p1<8/9 g/cm³ d) p1<3/4 g/cm³ |
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| 22. |
A river 3m deep and 40 m wide flowing at the rate of 2km per hour. How much water will flow into the sea in a minute? |
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Answer» A river 3m deep and 40 m wide flowing at the rate of 2km per hour. How much water will flow into the sea in a minute? |
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| 23. |
The present population of a town is 15625 if a population increases at the rate of 4% every year what will be the increase in the population in next 3 years |
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Answer» The present population of a town is 15625 if a population increases at the rate of 4% every year what will be the increase in the population in next 3 years |
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| 24. |
Two solutions of this equation 2x + y = 1 are. |
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Answer» Two solutions of this equation 2x + y = 1 are. |
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| 25. |
A sector is cut from a circle of radius 21 cm. The angle of the sector is 150o. What will be the length of its arc and area. |
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Answer» A sector is cut from a circle of radius 21 cm. The angle of the sector is 150o. What will be the length of its arc and area. |
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| 26. |
The given figure shows a parallelogram ABCD such that AB = 15 cm, BC = 12 cm, and CN = 10 cm. What is the length of AM? |
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Answer» The given figure shows a parallelogram ABCD such that AB = 15 cm, BC = 12 cm, and CN = 10 cm.
What is the length of AM? |
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| 27. |
The perimeter of a triangle with two sides of length 15 cm and 12.5 cm is 40 cm. Its third side is |
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Answer» The perimeter of a triangle with two sides of length 15 cm and 12.5 cm is 40 cm. Its third side is |
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| 28. |
The curved surface area of cylinder is 4400cm2 and the circumference of its base is 110cm. Find the height and the volume of the cylinder. |
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Answer» The curved surface area of cylinder is 4400cm2 and the circumference of its base is 110cm. Find the height and the volume of the cylinder. |
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| 29. |
The total surface area of a hollow metal cylinder, open at both ends of external radius 8 cm and height 10 cm is 338 πcm2. Taking r to be inner radius, obtain an equation in r and use it to obtain the thickness of the metal in the cylinder. |
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Answer» The total surface area of a hollow metal cylinder, open at both ends of external radius 8 cm and height 10 cm is 338 πcm2. Taking r to be inner radius, obtain an equation in r and use it to obtain the thickness of the metal in the cylinder. |
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| 30. |
In the figure, ABC is isosceles triangle whose side AC is produced E. Through C, CD is drawn parallel to BA. The value of x is |
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Answer» In the figure, ABC is isosceles triangle whose side AC is produced E. Through C, CD is drawn parallel to BA. The value of x is
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| 31. |
Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle. |
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Answer» Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle. |
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| 32. |
The three steps from solid to point are: |
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Answer» The three steps from solid to point are: |
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| 33. |
Which of the following statement are true and which are false? Give reason for your answer. 1. Only one line can pass through a single point. 2. There are an infinite number of lines which pass through two distinct points. 3. A terminated line can be produced indefinitely on both the sides. 4. If two circles are equal, then the radii are equal. 5. In figure, if AB = PQ and PQ = XY, then AB = XY |
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Answer» Which of the following statement are true and which are false? Give reason for your answer. 1. Only one line can pass through a single point. 2. There are an infinite number of lines which pass through two distinct points. 3. A terminated line can be produced indefinitely on both the sides. 4. If two circles are equal, then the radii are equal. 5. In figure, if AB = PQ and PQ = XY, then AB = XY
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| 34. |
If sin17∘=xy, then the value of sec17∘−sin73∘ will be |
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Answer» If sin17∘=xy, then the value of sec17∘−sin73∘ will be |
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| 35. |
Factorise 2(x+y)^2 - 9 (x+y) - 5 |
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Answer» Factorise 2(x+y)^2 - 9 (x+y) - 5 |
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| 36. |
Govind borrows Rs. 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year? |
| Answer» Govind borrows Rs. 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year? | |
| 37. |
find the value of A and B so that (X + 1) and (x-1 )are the factors factors of x to the power 4 , plus a x to the power 3 + 2 x to the power 2 , - 3 x , + b |
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Answer» find the value of A and B so that (X + 1) and (x-1 )are the factors factors of x to the power 4 , plus a x to the power 3 + 2 x to the power 2 , - 3 x , + b |
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| 38. |
Puja has two ropes measuring 5 m and 6 m. She ties a goat at point A with 5 m rope and ties another goat at point B with 6 m rope. Find out the ratio of areas grazed at point A and point B. The goats can only move inside the field. |
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Answer» Puja has two ropes measuring 5 m and 6 m. She ties a goat at point A with 5 m rope and ties another goat at point B with 6 m rope. Find out the ratio of areas grazed at point A and point B. The goats can only move inside the field. |
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| 39. |
Factorize : x2−7x+12 |
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Answer» Factorize : x2−7x+12 |
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| 40. |
Factorize: 10x4y−10xy4 |
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Answer» Factorize: 10x4y−10xy4 |
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| 41. |
D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC, then ΔDEF is congruent to triangle |
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Answer» D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC, then ΔDEF is congruent to triangle |
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| 42. |
ABCD is a parallelogram as shown with two sides, AB=2 units and BC=4 units. Find the sum of the squares of the diagonals? |
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Answer» ABCD is a parallelogram as shown with two sides, AB=2 units and BC=4 units. Find the sum of the squares of the diagonals?
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| 43. |
Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where (px)=x3−6x2+9x+3,g(x)=x−1 |
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Answer» Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where (px)=x3−6x2+9x+3,g(x)=x−1 |
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| 44. |
Prove that the circles described with four sides of a rhombus as diameters pass through the point of intersection of its diagonals. |
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Answer» Prove that the circles described with four sides of a rhombus as diameters pass through the point of intersection of its diagonals. |
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| 45. |
In the given figure, ∠AOB=90∘ and ∠ABC=30∘. Then, ∠CAO=? (a) 30∘ (b) 45∘ (c) 60∘ (d) 90∘ |
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Answer» In the given figure, ∠AOB=90∘ and ∠ABC=30∘. Then, ∠CAO=?
(a) 30∘ (b) 45∘ (c) 60∘ (d) 90∘ |
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| 46. |
ABC is a triangle in which D is the mid point of BC. E and F are mid points of DC and AE respectively. If area of △ABC is 16cm2 Find the ara of △DEF. |
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Answer» ABC is a triangle in which D is the mid point of BC. E and F are mid points of DC and AE respectively. If area of △ABC is 16cm2 Find the ara of △DEF. |
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| 47. |
What is Rational Numbers ? |
| Answer» What is Rational Numbers ? | |
| 48. |
Draw the perpendicular bisector of a line segment of length 5 cm. |
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Answer» Draw the perpendicular bisector of a line segment of length 5 cm. |
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| 49. |
The value of √48+√32√27+√18 is |
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Answer» The value of √48+√32√27+√18 is |
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| 50. |
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere? |
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Answer» If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere? |
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