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. |
Simplify 3√5+√3 by rationalising the denominator. |
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Answer» Simplify 3√5+√3 by rationalising the denominator. |
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| 2. |
A match box measures 4 cm×2.5 cm×1.5 cm. Volume of a packet containing 12 such boxes (no space is left in the packet) is ____________. |
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Answer» A match box measures 4 cm×2.5 cm×1.5 cm. Volume of a packet containing 12 such boxes (no space is left in the packet) is ____________. |
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| 3. |
Question 2 (i)(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:how many cross-streets can be referred to as (4, 3)? |
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Answer» Question 2 (i) how many cross-streets can be referred to as (4, 3)? |
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| 4. |
Identify the major segment in the image.(Tap on the correct color) |
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Answer» Identify the major segment in the image.(Tap on the correct color) |
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| 5. |
How many lines can be drawn from four distinct points if no three points are collinear?Give reason for your answer |
| Answer» How many lines can be drawn from four distinct points if no three points are collinear?Give reason for your answer | |
| 6. |
In the given figure, BE is parallel to CF. Evaluate the value of x. |
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Answer» In the given figure, BE is parallel to CF. Evaluate the value of x.
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| 7. |
The perimeter of a triangle is 50 cm. one side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle. |
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Answer» The perimeter of a triangle is 50 cm. one side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle. |
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| 8. |
The point lying on the equation 2x - y = 5 is: |
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Answer» The point lying on the equation 2x - y = 5 is: |
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| 9. |
Consider the following circle and choose the incorrect option. |
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Answer» Consider the following circle and choose the incorrect option. |
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| 10. |
Quadrilateral is formed by joining the points A(0,0), B(4,2), C(7,5) and D(2,6). Diagonals of the quadrilateral intersect each other at P. Accordingly match the following: 1. Area of APB×Area of CPDa. Area of APDArea of APD2. Area of APBArea of CPDb. Area of APD×Area of CPD3. Area of CPDArea of BPCc. Area of APDArea of APB |
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Answer» Quadrilateral is formed by joining the points A(0,0), B(4,2), C(7,5) and D(2,6). Diagonals of the quadrilateral intersect each other at P. Accordingly match the following: 1. Area of APB×Area of CPDa. Area of APDArea of APD2. Area of APBArea of CPDb. Area of APD×Area of CPD3. Area of CPDArea of BPCc. Area of APDArea of APB |
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| 11. |
What should be added to 1−x+x2–2x3 to get x3? |
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Answer» What should be added to 1−x+x2–2x3 to get x3? |
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| 12. |
Question 6 (i) Give one example of a situation in which (i) The mean is an appropriate measure of central tendency. |
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Answer» Question 6 (i) |
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| 13. |
If PQRS is a parallelogram, then ∠Q - ∠S is equal to: |
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Answer» If PQRS is a parallelogram, then ∠Q - ∠S is equal to: |
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| 14. |
In right angled triangle ABC, AB = 20m and ∠CAB=60∘. Find BC. |
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Answer» In right angled triangle ABC, AB = 20m and ∠CAB=60∘. Find BC. |
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| 15. |
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? [Assume π=227] |
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Answer» How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? |
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| 16. |
According to new classification system for the Centre’s spending which of the following statements is/are correct Code: |
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Answer» According to new classification system for the Centre’s spending which of the following statements is/are correct Code: |
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| 17. |
‘-p’ and ‘q’ are the zeroes of equation x2 – bx + c = 0. The zeroes of the equation x2 – bxy + c y2 = 0 are |
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Answer» ‘-p’ and ‘q’ are the zeroes of equation x2 – bx + c = 0. The zeroes of the equation x2 – bxy + c y2 = 0 are |
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| 18. |
If AD is the median of a triangle ABC and area of triangle ADC=15 cm2, then ar(ΔABC)15= ____. |
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Answer» If AD is the median of a triangle ABC and area of triangle ADC=15 cm2, then ar(ΔABC)15= ____. |
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| 19. |
Question 8 A point both of whose coordinates are negative will lie in A) I quadrant B) II quadrant C) III quadrant D) IV quadrant |
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Answer» Question 8 A point both of whose coordinates are negative will lie in A) I quadrant B) II quadrant C) III quadrant D) IV quadrant |
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| 20. |
All the sides of an equilateral triangle are___ . |
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Answer» All the sides of an equilateral triangle are |
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| 21. |
In the given figure,AM⊥BC and ANis the bisector of ∠A.If ∠ABC=70∘and∠ACB=20∘,find ∠MAN. |
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Answer» In the given figure,AM⊥BC and ANis the bisector of ∠A.If ∠ABC=70∘and∠ACB=20∘,find ∠MAN.
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| 22. |
If 3x−7y=10 and xy=−1, find the value of 9x2+49y2 |
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Answer» If 3x−7y=10 and xy=−1, find the value of 9x2+49y2 |
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| 23. |
8 years ago a man's age was thrice that of his son, 2yrs later the man will be twice as old as his son. Find the present ages of man and son. |
| Answer» 8 years ago a man's age was thrice that of his son, 2yrs later the man will be twice as old as his son. Find the present ages of man and son. | |
| 24. |
A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the distance of the chord from the centre of the circle. |
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Answer» A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the distance of the chord from the centre of the circle. |
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| 25. |
If 34x=(81)−1 and 101y=0.0001,find the value of 2−x+4y. |
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Answer» If 34x=(81)−1 and 101y=0.0001,find the value of 2−x+4y. |
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| 26. |
A conical tent is 10 m high and the radius of its base is 24 m.Find the slant height of the tent.If the cost of 1 m2 canvas is Rs.70,find the cost of the canvas required to make the tent. |
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Answer» A conical tent is 10 m high and the radius of its base is 24 m.Find the slant height of the tent.If the cost of 1 m2 canvas is Rs.70,find the cost of the canvas required to make the tent. |
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| 27. |
Question 7 A kite in the shape of a square with a diagonal 32cm and an isosceles triangles of base 8cm and sides 6cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it? |
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Answer» Question 7 |
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| 28. |
In the given figure, O is the centre of the circle. Chord AB is parallel to chord CD and CB is a diameter. Prove that arc AC = arc BD. [4 MARKS] |
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Answer» In the given figure, O is the centre of the circle. Chord AB is parallel to chord CD and CB is a diameter. Prove that arc AC = arc BD. [4 MARKS]
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| 29. |
In a right triangle ΔABC with right angle at B and BD is a perpendicular dropped onto the hypotenuse. If AC = 2AB, what is the area of ΔABD? (area of ΔABC = 5 sq units.) |
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Answer» In a right triangle ΔABC with right angle at B and BD is a perpendicular dropped onto the hypotenuse. If AC = 2AB, what is the area of ΔABD? (area of ΔABC = 5 sq units.) |
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| 30. |
In the figure , ABCD is a parallelogram in which ∠A=60∘. If the bisectors of ∠A and ∠B meet at P, prove that AD =DP, PC =BC and DC = 2AD. |
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Answer» In the figure , ABCD is a parallelogram in which ∠A=60∘. If the bisectors of ∠A and ∠B meet at P, prove that AD =DP, PC =BC and DC = 2AD.
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| 31. |
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. Find the area of the metal sheet needed to make it. |
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Answer» The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. Find the area of the metal sheet needed to make it. |
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| 32. |
Whats the value of 10012 - 9992 ? __ |
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Answer» Whats the value of 10012 - 9992 ? |
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| 33. |
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a |
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Answer» The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a |
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| 34. |
find the product:(x+y+2z) (x2+y2+4z2-xy-2yz-2zx |
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Answer» find the product:(x+y+2z) (x2+y2+4z2-xy-2yz-2zx |
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| 35. |
Study the passbook below and answer the question that follows : Line no.DateParticularsCheque no.Amount withdrawnAmount depositedBalance12.6.2018Cash 5000 800023.6.2018Cheque12311 20001000038.6.2018Cheque12312 450014500412.6.2018Self 7800 6700 What was the balance before cash was withdrawn on 2.6.2018 ? |
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Answer» Study the passbook below and answer the question that follows : Line no.DateParticularsCheque no.Amount withdrawnAmount depositedBalance12.6.2018Cash 5000 800023.6.2018Cheque12311 20001000038.6.2018Cheque12312 450014500412.6.2018Self 7800 6700 What was the balance before cash was withdrawn on 2.6.2018 ? |
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| 36. |
Two opposite angles of a parallelogram are (3x−2) and (63−2x).Find all the angles of the parallelogram. |
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Answer» Two opposite angles of a parallelogram are (3x−2) and (63−2x).Find all the angles of the parallelogram. |
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| 37. |
Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements. Statements: All glasses are rooms. Some rooms are planes. All planes are ducks. Some ducks are lanterns. Conclusions: I. Some lanterns are planes. II. Some ducks are rooms. III. Some rooms are glasses. IV. Some ducks are glasses. |
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Answer» Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements. |
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| 38. |
At the start of a year there were ₹24,000 in a savings account. After adding ₹56,000 to this the entire amount was invested in the bank at 10% compound interest. What will be the total amount after 3 years ?106480 |
Answer» At the start of a year there were ₹24,000 in a savings account. After adding ₹56,000 to this the entire amount was invested in the bank at 10% compound interest. What will be the total amount after 3 years ?
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| 39. |
Two cylinders have same lateral surface area. Their radii are in the ratio 3:2. Find the ratio of their heights. |
| Answer» Two cylinders have same lateral surface area. Their radii are in the ratio 3:2. Find the ratio of their heights. | |
| 40. |
In the given figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of the triangle ABC, whose centre is O. |
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Answer» In the given figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of the triangle ABC, whose centre is O.
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| 41. |
If a=√3+1/√3-1 and b=1/a,find the value of a^2-b^2+ab |
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Answer» If a=√3+1/√3-1 and b=1/a,find the value of a^2-b^2+ab |
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| 42. |
Which of the following is a binomial in y? |
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Answer» Which of the following is a binomial in y? |
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| 43. |
Prove that a line segment have one and only one mid point |
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Answer» Prove that a line segment have one and only one mid point |
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| 44. |
ABCD is a rectangle of area 40 cm2. If X is any point on AB, what is the area of ΔXCD? |
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Answer» ABCD is a rectangle of area 40 cm2. If X is any point on AB, what is the area of ΔXCD? |
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| 45. |
A sphere has a surface area of 301.84 cm2. Its diameter is |
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Answer» A sphere has a surface area of 301.84 cm2. Its diameter is |
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| 46. |
The relation connecting the measures of central tendencies is |
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Answer» The relation connecting the measures of central tendencies is |
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| 47. |
The compound interest on a certain sum invested for two years at the rate of 10% p.a. compounded annually is Rs 4200. What is the simple interest on the same sum invested for the same time period at the same rate? |
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Answer» The compound interest on a certain sum invested for two years at the rate of 10% p.a. compounded annually is Rs 4200. What is the simple interest on the same sum invested for the same time period at the same rate? |
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| 48. |
If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls off equal radius, then the surface area of each ball (in sq. cm) is |
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Answer» If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls off equal radius, then the surface area of each ball (in sq. cm) is |
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| 49. |
The surface area of a cuboid with dimensions 12 cm × 15 cm × 9 cm is |
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Answer» The surface area of a cuboid with dimensions 12 cm × 15 cm × 9 cm is |
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| 50. |
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recasted into 10 smaller cones of radius 1.4 cm. Find the height of the smaller cones formed. |
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Answer» A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recasted into 10 smaller cones of radius 1.4 cm. Find the height of the smaller cones formed. |
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