Explore topic-wise InterviewSolutions in .

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.

7301.

What is the value of (6)4(3)4 after simplification?

Answer»

What is the value of (6)4(3)4 after simplification?

7302.

Question 6(iv) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph Did the person stop on his way? Explain.

Answer» Question 6(iv)
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph

Did the person stop on his way? Explain.
7303.

Find Q in the addition 3 1 Q+ 1 Q 3 5 0 1

Answer»

Find Q in the addition

3 1 Q+ 1 Q 3 5 0 1



7304.

Question 3(iv) Add the following: (iv) l2+m2,m2+n2,n2+l2+2lm+2mn+2nl

Answer» Question 3(iv)
Add the following:
(iv) l2+m2,m2+n2,n2+l2+2lm+2mn+2nl
7305.

From 2012 to 2018 (including both) if a year is selected at random, the probability of having 365 days in that year is___.

Answer»

From 2012 to 2018 (including both) if a year is selected at random, the probability of having 365 days in that year is___.


7306.

Question 64 Draw a prism with its base as a regular hexagon with one of its face facing you. Now draw the top view, front view and side view of this solid.

Answer»

Question 64

Draw a prism with its base as a regular hexagon with one of its face facing you. Now draw the top view, front view and side view of this solid.

7307.

If an angle of 60° is cut from a half folded square piece of paper, specify the cut out obtained when the paper is unfolded.

Answer» If an angle of 60° is cut from a half folded square piece of paper, specify the cut out obtained when the paper is unfolded.
7308.

Question 92 (iv)Factorise the following using the identity a2−b2=(a+b)(a−b).3a2b3−27a4b

Answer»

Question 92 (iv)



Factorise the following using the identity a2b2=(a+b)(ab).



3a2b327a4b



7309.

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.SectionNumber of girls per thousand boysScheduled Caste (SC)940Scheduled Tribe (ST)970Non SC/ST920Backward districts950Non-backward districts920Rural930Urban910(i) Represent the information above by a bar graph.(ii) In the classroom discuss, what conclusions can be arrived at from the graph.

Answer» The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.



SectionNumber of girls per thousand boysScheduled Caste (SC)940Scheduled Tribe (ST)970Non SC/ST920Backward districts950Non-backward districts920Rural930Urban910

(i) Represent the information above by a bar graph.

(ii) In the classroom discuss, what conclusions can be arrived at from the graph.
7310.

if sides of a right angled triangle are x+8cm and 5cm with hypotenuse 13cm. Find the value of x and hence find the area

Answer» if sides of a right angled triangle are x+8cm and 5cm with hypotenuse 13cm. Find the value of x and hence find the area
7311.

Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of the shirt.

Answer»

Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of the shirt.

7312.

Three added to half a number gives 23. What is the number?

Answer»

Three added to half a number gives 23. What is the number?



7313.

If a + b = 5 and ab = 1 then the value of a^2 + b^2 is

Answer» If a + b = 5 and ab = 1 then the value of a^2 + b^2 is
7314.

If the volume of tetrahedron whose (−2,0,−1),(a,2,0),(0,2,−3),(1,2,3) is 1 unit, then the value of a can be

Answer»

If the volume of tetrahedron whose (2,0,1),(a,2,0),(0,2,3),(1,2,3) is 1 unit, then the value of a can be

7315.

In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, ∠SPQ = 70∘ and ∠PQR = 90∘, which of the sides is to be taken as base and constructed first?

Answer»

In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, SPQ = 70 and PQR = 90, which of the sides is to be taken as base and constructed first?



7316.

Question 52Find the value of the letters in the following question: B A A+B A A________ 3 A 8

Answer»

Question 52



Find the value of the letters in the following question:



B A A+B A A________ 3 A 8



7317.

Rajabhau sold his flat to Vasantrao for ₹ 88,00,000 through an agent. The agent charged 2% commission for both of them. Find how much commission the agent got.

Answer» Rajabhau sold his flat to Vasantrao for ₹ 88,00,000 through an agent. The agent charged 2% commission for both of them. Find how much commission the agent got.
7318.

A^x+ B^{y }→ A^y+B^x Then n factor of A is y-x or x-y ?

Answer» A^x+ B^{y }→ A^y+B^x Then n factor of A is y-x or x-y ?
7319.

Question 92 (xiv)Factorise the following using the identity a2−b2=(a+b)(a−b).4x29−9y216

Answer»

Question 92 (xiv)



Factorise the following using the identity a2b2=(a+b)(ab).



4x299y216



7320.

The area of the circular ring included between two concentric circles of radii 3 cm and 2 cm is:

Answer»

The area of the circular ring included between two concentric circles of radii 3 cm and 2 cm is:

7321.

In a deck of 52 cards, there are 4 kings, 4 queens, 4 jacks . These are known as face cards. If one card from the deck is withdrawn, what is the probability that it is not a face card?

Answer»

In a deck of 52 cards, there are 4 kings, 4 queens, 4 jacks . These are known as face cards. If one card from the deck is withdrawn, what is the probability that it is not a face card?



7322.

Question 76 In the following question, state whether the statement is True (T) or False (F): abc + bca + cab is a monomial.

Answer»

Question 76

In the following question, state whether the statement is True (T) or False (F):

abc + bca + cab is a monomial.

7323.

Simplify: (3x−2y)(3x+4y)−(3x+2y)(3x−2y)(−4y2+6xy)

Answer» Simplify: (3x2y)(3x+4y)(3x+2y)(3x2y)(4y2+6xy)
7324.

Following balances appear in the books of Priyank Brothers: ₹ 1st April, 2017 Machinery A/c 20,00,000 Provision for Depreciation A/c 8,00,000 On 1st April, 2017, they decide to sell a machine for ₹ 5,00,000. This machine was purchased for ₹ 7,50,000 on 1st April, 2014. Prepare the Machinery Account and Provision for Depreciation Account for the year ended 31st March, 2018 assuming that the firm has been charging Depreciation 10% p.a. on the Straight Line Method.

Answer» Following balances appear in the books of Priyank Brothers:


















1st April, 2017 Machinery A/c 20,00,000
Provision for Depreciation A/c 8,00,000



On 1st April, 2017, they decide to sell a machine for ₹ 5,00,000. This machine was purchased for ₹ 7,50,000 on 1st April, 2014. Prepare the Machinery Account and Provision for Depreciation Account for the year ended 31st March, 2018 assuming that the firm has been charging Depreciation 10% p.a. on the Straight Line Method.
7325.

The diameters of front and rear wheels of a tractor are 80 cm and 2m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Answer» The diameters of front and rear wheels of a tractor are 80 cm and 2m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.
7326.

Vous allez faire des courses à l'épicerie. Rédigez un dialogue entre vous et l'épicier (environ 40 mots).

Answer» Vous allez faire des courses à l'épicerie. Rédigez un dialogue entre vous et l'épicier (environ 40 mots).
7327.

Which of the following is a top view of an object?

Answer»

Which of the following is a top view of an object?

7328.

Factorise: x2−4x−12

Answer»

Factorise:

x24x12

7329.

2(−4)=1a then a = ____, select the correct option:

Answer»

2(4)=1a then a = ____, select the correct option:



7330.

Evaluate: √1183√2023

Answer» Evaluate: 11832023
7331.

Find the distance between A(-1,2) and B(3,4)​

Answer» Find the distance between A(-1,2) and B(3,4)​
7332.

Find the factors of the polynomials given below.(i) 2x2 + x – 1(ii) 2m2 + 5m – 3(iii) 12x2 + 61x + 77(iv) 3y2 – 2y – 1(v) 3x2+4x+3(vi) 12x2-3x+4

Answer» Find the factors of the polynomials given below.

(i) 2x2 + x – 1



(ii) 2m2 + 5m – 3



(iii) 12x2 + 61x + 77



(iv) 3y2 – 2y – 1



(v) 3x2+4x+3



(vi) 12x2-3x+4
7333.

There is a square park in the society. Rs. ______ is the cost of laying grass in the field at Rs. 10 per m2. The length of each side is 7 m. ___

Answer»

There is a square park in the society. Rs. ______ is the cost of laying grass in the field at Rs. 10 per m2. The length of each side is 7 m.


___
7334.

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?

Answer»

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?

7335.

Manoj has to lay tiles on the floor. The size of the room is 9 feet × 12 feet. In the market, there are three kinds of square tiles 1 foot × 1 foot, 2 feet × 2 feet and 3 feet × 3 feet. Which size of tile should he buy for his room, so that he can lay it without cutting?

Answer» Manoj has to lay tiles on the floor. The size of the room is 9 feet × 12 feet. In the market, there are three kinds of square tiles 1 foot × 1 foot, 2 feet × 2 feet and 3 feet × 3 feet. Which size of tile should he buy for his room, so that he can lay it without cutting?
7336.

Draw the graphs for the following tables of values, with suitable scales on the axes.(a) Cost of apples Number of apples 1 2 3 4 5 Cost (in Rs) 5 10 15 20 25 (b) Distance travelled by a car Time (in hours) 6 a.m. 7 a.m. 8 a.m. 9 a.m. Distance (in km) 40 80 120 160 (i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?(ii) What was the time when the car had covered a distance of 100 km since its start?(c) Interest on deposits for a year: Deposit (in Rs) 1000 2000 3000 4000 5000 Simple interest (in Rs) 80 160 240 320 400 (i) Does the graph pass through the origin?(ii) Use the graph to find the interest on Rs 2500 for a year:(iii) To get an interest of Rs 280 per year, how much money should be deposited?

Answer»

Draw the graphs for the following tables of values, with suitable scales on the axes.



(a) Cost of apples

























Number of apples



1



2



3



4



5



Cost (in Rs)



5



10



15



20



25






(b) Distance travelled by a car























Time (in hours)



6 a.m.



7 a.m.



8 a.m.



9 a.m.



Distance (in km)



40



80



120



160






(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?



(ii) What was the time when the car had covered a distance of 100 km since its start?



(c) Interest on deposits for a year:

























Deposit (in Rs)



1000



2000



3000



4000



5000



Simple interest (in Rs)



80



160



240



320



400






(i) Does the graph pass through the origin?



(ii) Use the graph to find the interest on Rs 2500 for a year:



(iii) To get an interest of Rs 280 per year, how much money should be deposited?

7337.

What must be added to each term of the ratio 2 : 3, so that it becomes equal to 4 : 5?

Answer»

What must be added to each term of the ratio 2 : 3, so that it becomes equal to 4 : 5?



7338.

The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?

Answer»

The product of two rational numbers is 916. If one of the numbers is 43, what is the other number?

7339.

Select the following expression(s) which is(are) equal to 16×24.

Answer»

Select the following expression(s) which is(are) equal to 16×24.

7340.

If 813x−5=2437x−9 then 46x−x50 equals to

Answer» If 813x5=2437x9 then 46xx50 equals to
7341.

The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is 4.

Answer» The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is 4.
7342.

Andy’s friend Sandy also got his land restructured. In his case, the land was rectangular before. Keeping the same base and same parallels, LandGrabbers restructured it into a parallelogram-shaped land as shown in the figure. Sandy spent Rs. 400 on fencing and Rs. 500 on ploughing earlier. If AE is twice of AD, find the extra amount he has to spent now on fencing and ploughing respectively in terms of ‘x’ and ‘y’.

Answer»

Andy’s friend Sandy also got his land restructured. In his case, the land was rectangular before. Keeping the same base and same parallels, LandGrabbers restructured it into a parallelogram-shaped land as shown in the figure. Sandy spent Rs. 400 on fencing and Rs. 500 on ploughing earlier. If AE is twice of AD, find the extra amount he has to spent now on fencing and ploughing respectively in terms of ‘x’ and ‘y’.


7343.

4. How many numbers between 200 and 600 are divisible by 14 ? A) 28 B) 29 C) 27 D) None of these

Answer» 4. How many numbers between 200 and 600 are divisible by 14 ? A) 28 B) 29 C) 27 D) None of these
7344.

Following are the carparking charges near a railway station up to4 hours Rs 608 hours Rs 10012 hours Rs 14024 hours Rs 180Check if the parkingcharges are in direct proportion to the parking time.

Answer»

Following are the car
parking charges near a railway station up to



4 hours Rs 60


8 hours Rs 100


12 hours Rs 140


24 hours Rs 180



Check if the parking
charges are in direct proportion to the parking time.

7345.

Find the square root of 841 without prime factorisation.

Answer» Find the square root of 841 without prime factorisation.
7346.

If 5m×53×5−25−5=512, then find m.

Answer» If 5m×53×5255=512, then find m.
7347.

Question 53Draw two acute angles and one obtuse angle without using a protractor. Estimate the measures of the angles. Measure them with the help of a protractor and see how much accurate is your estimate?

Answer»

Question 53



Draw two acute angles and one obtuse angle without using a protractor. Estimate the measures of the angles. Measure them with the help of a protractor and see how much accurate is your estimate?



7348.

Question 7The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:Number of ballsTeam ATeam B1−6257−121613−188219−2491025−304531−365637−426343−4810449−546855−60210Represent the data of both the teams on the same graph by frequency polygons.

Answer»

Question 7

The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Number of ballsTeam ATeam B162571216131882192491025304531365637426343481044954685560210

Represent the data of both the teams on the same graph by frequency polygons.



7349.

If 4x2 + y2 = 40 and xy = 6, find 2x + y.

Answer»

If 4x2 + y2 = 40 and xy = 6, find 2x + y.

7350.

Compare 7* 10-6 and 129 *10-7

Answer» Compare 7* 10-6 and 129 *10-7