This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 10401. |
The formula for finding total surface area of cuboid is__________. |
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Answer» The formula for finding total surface area of cuboid is__________. |
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| 10402. |
Factorization of -x2 +25x-156 |
| Answer» Factorization of -x2 +25x-156 | |
| 10403. |
The volume of the given right circular cone is cu ft. |
Answer» ![]() The volume of the given right circular cone is |
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| 10404. |
Factorise each of the following expressions:(i) x2+6x+8 (ii) x2+4x−21(iii) x2−7x+12 |
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Answer» Factorise each of the following expressions: (i) x2+6x+8 (ii) x2+4x−21 (iii) x2−7x+12 |
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| 10405. |
Area of the field shown in the figure given below is: |
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Answer» Area of the field shown in the figure given below is: |
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| 10406. |
A scooter was bought at Rs. 42000 and its value depreciated at the rate of 8% per annum. Find its value after one year. |
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Answer» A scooter was bought at Rs. 42000 and its value depreciated at the rate of 8% per annum. Find its value after one year. |
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| 10407. |
Sajal can ride a scooter constantly at a speed of 30 km/hr. draw a distance-time graph for this situation.Use the graph drawn to find:(i) The time taken by Sajal to ride 75 km(ii) The distance covered by Sajal in 312 hours |
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Answer» Sajal can ride a scooter constantly at a speed of 30 km/hr. draw a distance-time graph for this situation. Use the graph drawn to find: (i) The time taken by Sajal to ride 75 km (ii) The distance covered by Sajal in hours |
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| 10408. |
The scores (out of 100) obtained by 33 students in a mathematics test are as follows.69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69.Represent this data in the form of a frequency distribution. |
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Answer» The scores (out of 100) obtained by 33 students in a mathematics test are as follows. 69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69. Represent this data in the form of a frequency distribution. |
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| 10409. |
Question 87 (vi)Write the greatest common factor in the following terms.qrxy,pryz,rxyz |
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Answer» Question 87 (vi) Write the greatest common factor in the following terms. qrxy,pryz,rxyz |
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| 10410. |
Can a quadrilateral be constructed when the length of 3 sides 1 diagonal and the measure of an angle is given write the step to construct such a quadrilateral |
| Answer» Can a quadrilateral be constructed when the length of 3 sides 1 diagonal and the measure of an angle is given write the step to construct such a quadrilateral | |
| 10411. |
Question 104(iv)The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.In which age group, is the number of literate females the highest ? |
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Answer» Question 104(iv) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. |
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| 10412. |
If the area of a rectangle is 30 sq.cm and its breadth is 6 cm,then its length is _____. |
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Answer» If the area of a rectangle is 30 sq.cm and its breadth is 6 cm,then its length is _____. |
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| 10413. |
The content of the carbon dioxide in the air is 500 ppm(parts per million). What is the content of Oxygen in the air ? |
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Answer» The content of the carbon dioxide in the air is 500 ppm(parts per million). What is the content of Oxygen in the air ?
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| 10414. |
Simplify the polynomial by regrouping method. 5xy3+2x2y2+10xy+4x2 |
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Answer» Simplify the polynomial by regrouping method. |
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| 10415. |
Question 63(iii)The table given below shows the temperatures recorded on a day at different times.Observe the graph and answer the following question.During which hour did the temperature fall? |
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Answer» Question 63(iii) The table given below shows the temperatures recorded on a day at different times. ![]() Observe the graph and answer the following question. During which hour did the temperature fall? |
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| 10416. |
44.obtain the value of plancks constant (h)= 6.63x10raised to the power -34 Jsec, in cgs unit |
| Answer» 44.obtain the value of plancks constant (h)= 6.63x10raised to the power -34 Jsec, in cgs unit | |
| 10417. |
Value of√-4= |
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Answer» Value of√-4= |
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| 10418. |
What is the integration of root of cotx by partial fraction |
| Answer» What is the integration of root of cotx by partial fraction | |
| 10419. |
Nine number are taken forming a square an shown in figure. 345101112171819 Find the difference between the product of the diagonal numbers. |
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Answer» Nine number are taken forming a square an shown in figure. 345101112171819 Find the difference between the product of the diagonal numbers. |
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| 10420. |
Question 145(ii)The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square, where the row for one village and the column for the other village intersectIf you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive? |
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Answer» Question 145(ii) |
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| 10421. |
An algebraic expression which contains two unlike terms is known as |
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Answer» An algebraic expression which contains two unlike terms is known as |
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| 10422. |
In the adjoining figure, ABCD is a quadrilateral such that ∠D + ∠C = 100°. The bisectors of ∠A and ∠B meet at ∠P. Determine ∠APB. |
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Answer» In the adjoining figure, ABCD is a quadrilateral such that ∠D + ∠C = 100°. The bisectors of ∠A and ∠B meet at ∠P. Determine ∠APB.
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| 10423. |
Question 10(iii)A rational number which is equal to its negative? |
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Answer» Question 10(iii) A rational number which is equal to its negative? |
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| 10424. |
The graph shown below gives the monthly sale of various Apple products. What kind of graph is it? |
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Answer» The graph shown below gives the monthly sale of various Apple products. What kind of graph is it? |
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| 10425. |
In Semant Vihar Society, 40% of the members are senior citizens. 50% of senior citizens are older than 70 years. Find the percentage of members older than 70 years. |
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Answer» In Semant Vihar Society, 40% of the members are senior citizens. 50% of senior citizens are older than 70 years. Find the percentage of members older than 70 years. |
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| 10426. |
Compute the compound interest on Rs 20,000 for 2 years at 20% per annum when compounded half yearly. |
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Answer» Compute the compound interest on Rs 20,000 for 2 years at 20% per annum when compounded half yearly. |
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| 10427. |
A person recorded the speed (in km/hr) of 10 motorists as 48, 52, 57, 55, 45, 39, 61, 49, 51 and 43. Find the average speed of the motorists. |
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Answer» A person recorded the speed (in km/hr) of 10 motorists as 48, 52, 57, 55, 45, 39, 61, 49, 51 and 43. Find the average speed of the motorists. |
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| 10428. |
What is the tenths digit in six hundred seventy two and sixty nine thousandths? |
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Answer» What is the tenths digit in six hundred seventy two and sixty nine thousandths? |
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| 10429. |
Question 92State whether the statements are True or False.All angles of a trapezium are equal. |
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Answer» Question 92 State whether the statements are True or False. All angles of a trapezium are equal. |
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| 10430. |
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 |
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Answer» How many of the following numbers are divisible by 132? |
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| 10431. |
The sum of two consecutive triangular numbers gives a __ number. |
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Answer» The sum of two consecutive triangular numbers gives a |
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| 10432. |
Question 76 In the following question, state whether the given statements are true (T) or false (F). (−82)0=0 |
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Answer» Question 76 In the following question, state whether the given statements are true (T) or false (F). (−82)0=0 |
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| 10433. |
Question 1 (ii)Sides of a triangle are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse.(ii) 3 cm, 8 cm, 6 cm |
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Answer» Question 1 (ii) Sides of a triangle are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse. (ii) 3 cm, 8 cm, 6 cm |
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| 10434. |
If √2=1.4142, then the square of 14.142 should approximately be? |
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Answer» If √2=1.4142, then the square of 14.142 should approximately be? |
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| 10435. |
16. At what rate percent will Rs 2000 amount to Rs 2315.25 in 3 years at compound interest? |
| Answer» 16. At what rate percent will Rs 2000 amount to Rs 2315.25 in 3 years at compound interest? | |
| 10436. |
Which of the following is the expression obtained by the division of 5pq(p2−q2) by 2p(p+q)? |
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Answer» Which of the following is the expression obtained by the division of 5pq(p2−q2) by 2p(p+q)? |
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| 10437. |
If you can check out a library book for three weeks, and renew it twice, then how long can you keep it? |
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Answer» If you can check out a library book for three weeks, and renew it twice, then how long can you keep it? |
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| 10438. |
How many small cuboids with dimensions 20 cm × 25 cm × 40 cm each can be accommodated in a cubical box of edge 2 m ? |
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Answer» How many small cuboids with dimensions 20 cm × 25 cm × 40 cm each can be accommodated in a cubical box of edge 2 m ? |
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| 10439. |
There are 1000 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out of this arrangement? |
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Answer» There are 1000 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out of this arrangement? |
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| 10440. |
Question 199Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘. |
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Answer» Question 199 Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘. |
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| 10441. |
In the adjoining figure, the sides BA and CA have been produced such that BA = AD and CA = AE. Prove that DE || BC. [Hint:- use the concept of alternate angles.] |
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Answer»
In the adjoining figure, the sides BA and CA have been produced such that BA = AD and CA = AE. Prove that DE || BC. [Hint:- use the concept of alternate angles.] |
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| 10442. |
Prove that the sum of cubes of three consecutive natural numbers is always divisible by 3. |
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Answer» Prove that the sum of cubes of three consecutive natural numbers is always divisible by 3. |
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| 10443. |
Factorise (i)c−5+5ab−abc (ii)15xy−6x+5y−2 [3 MARKS] |
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Answer» Factorise |
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| 10444. |
6. If ABCDEFGHIJKL be a regular decagon then the value of AB÷AF =AF÷AB |
| Answer» 6. If ABCDEFGHIJKL be a regular decagon then the value of AB÷AF =AF÷AB | |
| 10445. |
Which of the following does not have a diagonal? |
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Answer» Which of the following does not have a diagonal? |
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| 10446. |
Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and ∠ DAB = 60∘. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB. |
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Answer» Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and ∠ DAB = 60∘. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB. |
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| 10447. |
Sajal purchased some car parts for Rs.20776 including VAT at12%What is the original cost of these spare parts ? |
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Answer» Sajal purchased some car parts for Rs.20776 including VAT at12%What is the original cost of these spare parts ? |
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| 10448. |
A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls. |
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Answer» A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls. |
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| 10449. |
What are the possible expressions for the dimensions of the cuboid whose volume is 3x2− 12x. |
| Answer» What are the possible expressions for the dimensions of the cuboid whose volume is 3x2− 12x. | |
| 10450. |
ABCD is a rec†an gle and P ,Q ,R and S are the mid points of the sides AB,BC,CD and DA respectively.Show that the quadrilaterals PQRS is a rhombus |
| Answer» ABCD is a rec†an gle and P ,Q ,R and S are the mid points of the sides AB,BC,CD and DA respectively.Show that the quadrilaterals PQRS is a rhombus | |