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 and express the answer in the positive exponenet form:(i) (−3)3×266×23(ii) (23)5×5443×52 |
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Answer» Simplify and express the answer in the positive exponenet form: (i) (−3)3×266×23 (ii) (23)5×5443×52 |
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| 2. |
Question 8The surface area of the three coterminus faces of a cuboid are 6, 15 and 10cm2, respectively. The volume of the cuboid is(a) 30 cm3 (b) 40 cm3 (c) 20 cm3 (d) 35 cm3 |
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Answer» Question 8 The surface area of the three coterminus faces of a cuboid are 6, 15 and 10cm2, respectively. The volume of the cuboid is |
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| 3. |
The sum of the first n terms of a sequence is given by 5n+1−5. Find the ratio of (m)th and (m+5)th term of the sequence. |
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Answer» The sum of the first n terms of a sequence is given by 5n+1−5. Find the ratio of (m)th and (m+5)th term of the sequence. |
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| 4. |
(4pq+3q)2 − (4pq−3q)2= ____________. |
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Answer» (4pq+3q)2 − (4pq−3q)2= ____________. |
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| 5. |
Which of the following collection of ordered pair represents Function if collection of first element of ordered pairs is domain of the function? |
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Answer» Which of the following collection of ordered pair represents Function if collection of first element of ordered pairs is domain of the function? |
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| 6. |
∫7^{7^{7^x}}.7^{7^{x }}.7^{x }dx |
| Answer» ∫7^{7^{7^x}}.7^{7^{x }}.7^{x }dx | |
| 7. |
Factorize the expression: 36x2−84xy+49y2. |
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Answer» Factorize the expression: 36x2−84xy+49y2. |
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| 8. |
Evaluate using the identity:(i) (49)2; (ii) (9.8)2; (iii) (59)2; (iv) (198)2. |
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Answer» Evaluate using the identity (i) (49)2; (ii) (9.8)2; (iii) (59)2; (iv) (198)2. |
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| 9. |
As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If ∠DQX=x∘ then find ∠APY . |
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Answer»
As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If ∠DQX=x∘ then find ∠APY . |
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| 10. |
Question 8 (i) Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. |
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Answer» Question 8 (i) Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. |
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| 11. |
am×an= _____ |
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Answer» am×an= _____ |
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| 12. |
Integers are closed under addition. What are closed property means? |
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Answer» Integers are closed under addition. What are closed property means? |
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| 13. |
If 25^(x+1)=5^(2x+1)+100,find value of x? |
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Answer» If 25^(x+1)=5^(2x+1)+100,find value of x? |
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| 14. |
Draw triangles with the measures given below. (a) In ∆ABC , l(AB) = 5.5 cm,l(BC) = 4.2 cm, l(AC) = 3.5 cm (b) In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm (c) In ∆ PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm |
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Answer» Draw triangles with the measures given below. (a) In ABC , l(AB) = 5.5 cm,l(BC) = 4.2 cm, l(AC) = 3.5 cm
(b) In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm (c) In ∆ PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm |
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| 15. |
A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5 cm and of height 14 cm, or one with a circular base of radius 3.5 cm and of height 12 cm. Which of them has greater capacity and by how much? |
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Answer» A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5 cm and of height 14 cm, or one with a circular base of radius 3.5 cm and of height 12 cm. Which of them has greater capacity and by how much? |
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| 16. |
Amina buys a book for Rs 275 and sells it at a loss 15%. How much does she sell it for? [4 MARKS] |
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Answer» Amina buys a book for Rs 275 and sells it at a loss 15%. How much does she sell it for? [4 MARKS] |
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| 17. |
ΔPQR is formed by joining the midpoints of ΔABC. Find the area of the ΔPQR if the area of the ΔABC is 52 cm2 |
Answer» ΔPQR is formed by joining the midpoints of ΔABC. Find the area of the ΔPQR if the area of the ΔABC is 52 cm2![]() |
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| 18. |
Simplify: (x+x2)(x+x2). |
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Answer» Simplify: (x+x2)(x+x2). |
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| 19. |
Identify the common factor from the expression 9mn2−4m2n2+7m4n. |
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Answer» Identify the common factor from the expression 9mn2−4m2n2+7m4n. |
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| 20. |
A number from the given data set which repeats the maximum number of times is known as ____. |
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Answer» A number from the given data set which repeats the maximum number of times is known as ____. |
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| 21. |
Verifythat −(−x) = x for.(i) (ii) |
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Answer» Verify (i) |
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| 22. |
X24550Y4810100What is the constant that relates the values in X and Y? |
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Answer» X24550Y4810100 What is the constant that relates the values in X and Y? |
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| 23. |
Is 90 a perfect square? [3 MARKS] |
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Answer» Is 90 a perfect square? [3 MARKS] |
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| 24. |
Multiply the binomials: 2pq+3q2 and 3pq-2q2 |
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Answer» Multiply the binomials: and |
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| 25. |
Find the total surface area of a closed cardboard box of length 0.5 m ,breadth 25cm and height 15cm |
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Answer» Find the total surface area of a closed cardboard box of length 0.5 m ,breadth 25cm and height 15cm |
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| 26. |
Look at the picture and complete the sentences.Pick the right word from the box.Disclaimer: Kindly refer the textbook for the images. in on under behind over The cat is jumping _______________ the wall.The cat is ______________ the box.The cat is _______________ the door.The cat is ______________ the stool.The cat is ______________ the suitcase. |
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Answer» Look at the picture and complete the sentences. Pick the right word from the box. Disclaimer: Kindly refer the textbook for the images.
The cat is jumping _______________ the wall. The cat is ______________ the box. The cat is _______________ the door. The cat is ______________ the stool. The cat is ______________ the suitcase. |
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| 27. |
Question 70For all rational numbers a, b and c, a (b + c) = ab + bc |
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Answer» Question 70 For all rational numbers a, b and c, a (b + c) = ab + bc |
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| 28. |
Find the C.I. on Rs 1,60,000 for one year at the rate of 20% p.a., if interest is compounded quarterly. |
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Answer» Find the C.I. on Rs 1,60,000 for one year at the rate of 20% p.a., if interest is compounded quarterly. |
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| 29. |
Carry out the multiplication of the expressions in each of the following pairs. (i) 4p, q + r (ii) ab, a − b (iii) a + b, 7a2b2 (iv) a2 − 9, 4a (v) pq + qr + rp, 0 |
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Answer» Carry out the
(i) 4p, q
(iv) a2
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| 30. |
9. A pair of dice is thrown and the sum of the numbers is observed to be even. What is the probability that both dice have come up with even numbers. |
| Answer» 9. A pair of dice is thrown and the sum of the numbers is observed to be even. What is the probability that both dice have come up with even numbers. | |
| 31. |
The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads.If the amount spent for binding is 300 rupees. The total cost to publish a book is ___ rupees. |
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Answer» The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads. If the amount spent for binding is 300 rupees. The total cost to publish a book is ___ rupees.
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| 32. |
If 8 oranges cost ₹ 52, how many oranges can be bought for ₹ 169?(a) 13(b) 18(c) 26(d) 24 |
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Answer» If 8 oranges cost ₹ 52, how many oranges can be bought for ₹ 169? (a) 13 (b) 18 (c) 26 (d) 24 |
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| 33. |
Question 128 Solve the following question: A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder. |
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Answer» Question 128 Solve the following question: A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder. |
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| 34. |
Factorise (i) a4 − b4 (ii) p4 − 81 (iii) x4 − (y + z)4 (iv) x4 − (x − z)4 (v) a4 − 2a2b2 + b4 |
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Answer» Factorise (i) a4
(ii) p4
(iii) x4
(iv) x4
(v) a4
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| 35. |
The following information were obtained from the books of Delhi Club as on 31st March, 2019 at the end of the first year of the Club, prepare Receipts and Payment Account for the year ending 31st March, 2019: Receipts (₹) Payments (₹) Donation for Building and Library Room 2,00,000 Purchase of Land 10,000 Entrance Fees 17,000 Purchase of Furniture 1,30,000 Subscription 19,000 Salaries 4,800 Lockers Rent 1,660 Maintenance of Play Grounds 1,000 Refreshment Receipts 16,000 Rent 8,000 Government Grant 25,000 Refreshment Payments 8,000 Library Books 25,000 Purchase of 90% Government Bonds 1,60,000 Term Deposit with Bank 15,000 |
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Answer» The following information were obtained from the books of Delhi Club as on 31st March, 2019 at the end of the first year of the Club, prepare Receipts and Payment Account for the year ending 31st March, 2019:
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| 36. |
The area of a rectangle whose length is 5.6 cm and breadth is 2.5 cm is . |
Answer» The area of a rectangle whose length is 5.6 cm and breadth is 2.5 cm is ![]() |
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| 37. |
Factorise: 64−a3b3 |
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Answer» Factorise: 64−a3b3 |
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| 38. |
Write the subset relations between the following sets..X = set of all quadrilaterals. Y = set of all rhombuses.S = set of all squares. T = set of all parallelograms.V = set of all rectangles. |
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Answer» Write the subset relations between the following sets.. X = set of all quadrilaterals. Y = set of all rhombuses. S = set of all squares. T = set of all parallelograms. V = set of all rectangles.
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| 39. |
Question 86(ii)A die is rolled once. What is the probability that the number on top will be greater than 5 ? |
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Answer» Question 86(ii) A die is rolled once. What is the probability that the number on top will be greater than 5 ? |
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| 40. |
The value of 7.32−2.72 is equal to |
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Answer» The value of 7.32−2.72 is equal to |
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| 41. |
Question 20The following pie chart represents the distribution of proteins in parts of human body.What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?(a) 3 : 1(b) 1 : 2(c) 1 : 3(d) 2 : 1 |
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Answer» Question 20 The following pie chart represents the distribution of proteins in parts of human body. (a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1 |
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| 42. |
3 workers make 38 part of the pirate ship. If all of them work equally, how much part of the ship will each worker make daily? |
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Answer» 3 workers make 38 part of the pirate ship. If all of them work equally, how much part of the ship will each worker make daily? |
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| 43. |
Quotient of 12x3−11x2+9x+184x+3 is |
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Answer» Quotient of 12x3−11x2+9x+184x+3 is |
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| 44. |
The measure of each interior angle of a regular polygon is five times the measure of its interior angle. Find: (i) measure of each interior angle, (ii) measure of each exterior angle and (iii)number of sides in the polygon |
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Answer» The measure of each interior angle of a regular polygon is five times the measure of its interior angle. Find: (i) measure of each interior angle, (ii) measure of each exterior angle and (iii)number of sides in the polygon |
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| 45. |
Study the Joint Bar Graph and state which sport is liked equally by both girls and boys? |
Answer» Study the Joint Bar Graph and state which sport is liked equally by both girls and boys?![]() |
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| 46. |
Two pipes can fill a tank In 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in (a) 10 minutes (b) 12 rendes (c) 15 minutes (d) 25 minutes |
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Answer» Two pipes can fill a tank In 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in (a) 10 minutes (b) 12 rendes (c) 15 minutes (d) 25 minutes |
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| 47. |
The adjacent sides of a parallelogram ABCD are AB = 34cm, BC = 20cm and diagonal AC = 42cm. Find the area of the parallelogram. |
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Answer» The adjacent sides of a parallelogram ABCD are AB = 34cm, BC = 20cm and diagonal AC = 42cm. Find the area of the parallelogram. |
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| 48. |
The simple interest on a certain sum for 6 years at 14% per annum is Rs. 470.40. The sum is ______ . |
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Answer» The simple interest on a certain sum for 6 years at 14% per annum is Rs. 470.40. The sum is ______ . |
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| 49. |
Rajat rides a bike covering 14 km in 35 minutes. If the speed remain same,how much distance can he cover if he travels for 5 hours? |
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Answer» Rajat rides a bike covering 14 km in 35 minutes. If the speed remain same,how much distance can he cover if he travels for 5 hours? |
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| 50. |
one of the factors of 61x^3+27y^3+180x^2y is |
| Answer» one of the factors of 61x^3+27y^3+180x^2y is | |