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. |
A shopkeeper has one laddoo of radius 5 cm. With the same material how many laddoos of radius 2.5 cm can be made? |
|
Answer» A shopkeeper has one laddoo of radius 5 cm. With the same material how many laddoos of radius 2.5 cm can be made? |
|
| 2. |
The sides of a triangle are 16 cm,30 cm,34 cm. Its area is |
|
Answer» The sides of a triangle are 16 cm,30 cm,34 cm. Its area is |
|
| 3. |
Two lines AB and CD intersect at O. If ∠AOC+∠COB+∠BOD=2700, find the measure of ∠AOC,∠COB,∠BOD and ∠DOA. |
|
Answer» Two lines AB and CD intersect at O. If ∠AOC+∠COB+∠BOD=2700, find the measure of ∠AOC,∠COB,∠BOD and ∠DOA. |
|
| 4. |
Factorize x3−8y3+27z3+18xyz |
|
Answer» Factorize x3−8y3+27z3+18xyz |
|
| 5. |
In the given figure, a circle with centre O, chords AB and CD intersect inside a circle at E. Prove that ∠AOC+∠BOD=2∠AEC |
|
Answer» In the given figure, a circle with centre O, chords AB and CD intersect inside a circle at E. Prove that |
|
| 6. |
Question 9 Write True or False and justify your answer: In a triangle, the sides are given as 11cm, 12cm and 13cm. the length of the altitude is 10.25 cm corresponding to the side having 12 cm. |
|
Answer» Question 9 Write True or False and justify your answer: In a triangle, the sides are given as 11cm, 12cm and 13cm. the length of the altitude is 10.25 cm corresponding to the side having 12 cm. |
|
| 7. |
Question 6(b) Find the ratio of the following: 98 to 63 |
|
Answer» Question 6(b) Find the ratio of the following: 98 to 63 |
|
| 8. |
If tan2A=cot(A−18∘), then value of A is ((A - 18) & 2A are acute angle) |
|
Answer» If tan2A=cot(A−18∘), then value of A is ((A - 18) & 2A are acute angle) |
|
| 9. |
Question 7 O is the circumcentre of the ΔABC and D is the mid-point of the base BC. Prove that ∠BOD=∠A. |
|
Answer» Question 7 O is the circumcentre of the ΔABC and D is the mid-point of the base BC. Prove that ∠BOD=∠A. |
|
| 10. |
Question 3 AP an BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ. |
|
Answer» Question 3 AP an BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ.
|
|
| 11. |
Question 2 Write True or False and justify your answer: The area of a ΔABC is 8 cm2 in which AB = AC = 4 cm and ∠A=90∘ |
|
Answer» Question 2 Write True or False and justify your answer: The area of a ΔABC is 8 cm2 in which AB = AC = 4 cm and ∠A=90∘ |
|
| 12. |
In figure, a circle touches the side BC of △ABC at P and touches AB and AC produced at Q and R respectively. If AQ = 5 cm, find the perimeter (in cm) of △ABC. __ |
|
Answer» In figure, a circle touches the side BC of △ABC at P and touches AB and AC produced at Q and R respectively. If AQ = 5 cm, find the perimeter (in cm) of △ABC.
|
|
| 13. |
A sum of money at simple interest amounts to Rs. 900 in 4 years and to Rs. 950 in 5 years. Find the original sum of money. |
|
Answer» A sum of money at simple interest amounts to Rs. 900 in 4 years and to Rs. 950 in 5 years. Find the original sum of money. |
|
| 14. |
The floor of a rectangular hall has a perimeter 150 m. If cost of painting the four walls at the rate of Rs.10 per m2 is Rs. 9000,find height of wall. |
|
Answer» The floor of a rectangular hall has a perimeter 150 m. If cost of painting the four walls at the rate of Rs.10 per m2 is Rs. 9000,find height of wall. |
|
| 15. |
Solve the following:Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 100000, how much money did Anima have? |
|
Answer» Solve the following: |
|
| 16. |
How to calculate the real value of Pi? Not 22/7 or 3.141 approximations... The original value. |
|
Answer» How to calculate the real value of Pi? Not 22/7 or 3.141 approximations... The original value. |
|
| 17. |
2x(a-b) + 3y(5a -5b) + 4z(2b -2a) we have to take out the common factors |
|
Answer» 2x(a-b) + 3y(5a -5b) + 4z(2b -2a) we have to take out the common factors |
|
| 18. |
Four circular windows, each of radius 28 cm are to be fitted with glass. Calculate the cost of glass at the rate of Rs. 4.25 per m2. |
|
Answer» Four circular windows, each of radius 28 cm are to be fitted with glass. Calculate the cost of glass at the rate of Rs. 4.25 per m2. |
|
| 19. |
If x=-2 and y=3 is a solution of the equation 3x-5y=k, then the value of k is: |
|
Answer» If x=-2 and y=3 is a solution of the equation 3x-5y=k, then the value of k is: |
|
| 20. |
Construct a triangle whose side length AB is 5 m and ∠BAC and ∠CBA are 45∘ and 50∘ respectively. [3 MARKS] |
|
Answer» Construct a triangle whose side length AB is 5 m and ∠BAC and ∠CBA are 45∘ and 50∘ respectively. [3 MARKS] |
|
| 21. |
Find three different irrational numbers between the rational numbers 5/7 and 9/11. |
|
Answer» Find three different irrational numbers between the rational numbers 5/7 and 9/11. |
|
| 22. |
The factorisation of a3+0.027 is equal to |
|
Answer» The factorisation of a3+0.027 is equal to |
|
| 23. |
Find the measure of an angle which is equal to its supplement. |
|
Answer» Find the measure of an angle which is equal to its supplement. |
|
| 24. |
Find if (x+2) (x+3) is a factor of x/\3+ax/\2+bx-12 find the value of a and b |
| Answer» Find if (x+2) (x+3) is a factor of x/\3+ax/\2+bx-12 find the value of a and b | |
| 25. |
Is 720°angle possible?like the hour hamd of the clock makes in a day |
|
Answer» Is 720°angle possible?like the hour hamd of the clock makes in a day |
|
| 26. |
bx/a+ay/b=a2+b2 x+y=2ab solve for x and y |
|
Answer» bx/a+ay/b=a2+b2 x+y=2ab solve for x and y |
|
| 27. |
On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults. Take the number of children as x and total number of chocolates distributed as y: 1) Form a linear equation. 2)If she distributed 145 chocolates in total, how many children are there in the orphanage? 3) What values are reflected in the situation? |
|
Answer» On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults. Take the number of children as x and total number of chocolates distributed as y: 1) Form a linear equation. 2)If she distributed 145 chocolates in total, how many children are there in the orphanage? 3) What values are reflected in the situation? |
|
| 28. |
L1:x−2y+10=0 L2:x+2y−6=0 Ratio in which the point of intersection of line L1 and L2 divides the line segment AB of L1 is ? |
|
Answer» L1:x−2y+10=0 L2:x+2y−6=0 Ratio in which the point of intersection of line L1 and L2 divides the line segment AB of L1 is ?
|
|
| 29. |
The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is |
|
Answer» The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is |
|
| 30. |
In △ NUT, if NU =71 cm and UT = 92 cm. What is the length of side NT? |
|
Answer» In △ NUT, if NU =71 cm and UT = 92 cm. What is the length of side NT? |
|
| 31. |
In two similar triangles, ABC and DEF AB=4 cm, DE=5 cm.What is the ratio of the perimeters of triangles ABC and DEF? |
|
Answer» In two similar triangles, ABC and DEF AB=4 cm, DE=5 cm.What is the ratio of the perimeters of triangles ABC and DEF? |
|
| 32. |
Question 107 State whether the statements are True or False. If opposite angles of a quadrilateral are equal, it must be a parallelogram. |
|
Answer» Question 107 State whether the statements are True or False. If opposite angles of a quadrilateral are equal, it must be a parallelogram. |
|
| 33. |
When to use dot and cross product? |
| Answer» When to use dot and cross product? | |
| 34. |
A dice is thrown. The probability of getting a multiple of 3 is |
|
Answer» A dice is thrown. The probability of getting a multiple of 3 is |
|
| 35. |
Use the following information to answer the next question. In the given figure, line n is the bisector of ∠P. If PA = 17 cm and PQ = 15 cm, then what is the perimeter of quadrilateral PQAR? |
|
Answer» Use the following information to answer the next question. In the given figure, line n is the bisector of ∠P.
If PA = 17 cm and PQ = 15 cm, then what is the perimeter of quadrilateral PQAR? |
|
| 36. |
Question 6 Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis. |
|
Answer» Question 6 Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis. |
|
| 37. |
The area of a triangle with two equal sides of length 12 cm making a right angle is |
|
Answer» The area of a triangle with two equal sides of length 12 cm making a right angle is |
|
| 38. |
Question 115 From given integers in Column I, match an integer of Column II, so that their product lies between - 19 and -6. Column IColumn II−5 1 6−1−7 3 8−2 |
|
Answer» Question 115 From given integers in Column I, match an integer of Column II, so that their product lies between - 19 and -6. |
|
| 39. |
In △ABC, AD, BE and CF are medians, and G is the centroid. If AD=15 cm, find AG. 10 |
|
Answer» In △ABC, AD, BE and CF are medians, and G is the centroid. If AD=15 cm, find AG.
|
|
| 40. |
If the radius of a circle is halved, its circumference gets |
|
Answer» If the radius of a circle is halved, its circumference gets |
|
| 41. |
In the given figure, area of △AID = _____ × area of parallelogram ABCD |
|
Answer»
|
|
| 42. |
Which of the following statements fits best as per the diagram given below. |
|
Answer» Which of the following statements fits best as per the diagram given below. |
|
| 43. |
In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 cm2 and area( ΔBOC) = 60 cm2, area of the rectangle ABCD is ___ (in cm2) |
|
Answer» In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 cm2 and area( ΔBOC) = 60 cm2, area of the rectangle ABCD is (in cm2) |
|
| 44. |
The point of intersection of the lines x = 4 and y = -3 is ________. |
|
Answer» The point of intersection of the lines x = 4 and y = -3 is |
|
| 45. |
In the given figure, ABCD is a quadrilateral such that DA⊥AB and CB⊥AB, x = y and EF || AD such that EF bisects ∠DEC. Then CD2 is equal to |
|
Answer» In the given figure, ABCD is a quadrilateral such that DA⊥AB and CB⊥AB, x = y and EF || AD such that EF bisects ∠DEC. Then CD2 is equal to |
|
| 46. |
In ΔABC,∠A=45∘,∠B=60∘ and ∠C=75∘. The angles of the triangle formed by joining the mid – points of the sides of this triangles are: |
|
Answer» In ΔABC,∠A=45∘,∠B=60∘ and ∠C=75∘. The angles of the triangle formed by joining the mid – points of the sides of this triangles are: |
|
| 47. |
The equation of the x - axis is (a) x = 0 (b) y = 0 (c) x = y (d) x + y = 0 |
|
Answer» The equation of the x - axis is (a) x = 0 (b) y = 0 (c) x = y (d) x + y = 0 |
|
| 48. |
In the given figure, O is the centre of a circle and ∠OAB=50∘, Then, ∠BOD=? (a) 130∘ (b) 50∘ (c) 100∘ (d) 80∘ |
|
Answer» In the given figure, O is the centre of a circle and ∠OAB=50∘, Then, ∠BOD=?
(a) 130∘ (b) 50∘ (c) 100∘ (d) 80∘ |
|
| 49. |
Factorise: 9x2−16y2 |
|
Answer» Factorise: |
|
| 50. |
Two rational numbers between 23 and 53 are (a)16 and 26 (b)12 and 21 (c)56 and 76 (d)23 and 43 |
|
Answer» Two rational numbers between 23 and 53 are (a)16 and 26 |
|