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.

12751.

If two solid-hemisphere s of same base radius r are joined together along their bases , then curved surface area of this new solid is (a) 4πr2 (b) 6πr2 (c) 3πr2 (d) 8πr2

Answer» If two solid-hemisphere s of same base radius r are joined together along their bases , then curved surface area of this new solid is

(a) 4πr2 (b) 6πr2 (c) 3πr2 (d) 8πr2
12752.

Find the 5th term of an arithmetic sequence whose nth term is 3n - 2.

Answer»

Find the 5th term of an arithmetic sequence whose nth term is 3n - 2.


12753.

BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC and ∠OBC.

Answer»

BC is chord of a circle with centre O. A is a point on major arc BC. Find the total measure of BAC and OBC.




12754.

If 2 is a root of the Equation x2+kx−5=0, then find the value of k.

Answer»

If 2 is a root of the Equation x2+kx5=0, then find the value of k.

12755.

Simplify 5x−3x−3x+2x.

Answer»

Simplify 5x3x3x+2x.

12756.

A colour TV is marked for sale for Rs 17,600 which includes sales tax at 10%. Calculated the sales tax in rupees. [3 MARKS]

Answer» A colour TV is marked for sale for Rs 17,600 which includes sales tax at 10%. Calculated the sales tax in rupees. [3 MARKS]
12757.

Répondez aux questions suivantes.1. Quel est votre plat favori?2. Qu'est - ce que vous aimez boire?3. Où prenez - vous vos repas?4. Quel dessert préférez - vous?5. Est - ce que vous buvez du vin aux repas dans votre pays?

Answer» Répondez aux questions suivantes.

1. Quel est votre plat favori?

2. Qu'est - ce que vous aimez boire?

3. Où prenez - vous vos repas?

4. Quel dessert préférez - vous?

5. Est - ce que vous buvez du vin aux repas dans votre pays?
12758.

In Q. No. 1, the probability that the digit is a multiple of 3 is(a) 13(b) 23(c) 19(d) 29

Answer» In Q. No. 1, the probability that the digit is a multiple of 3 is



(a) 13



(b) 23



(c) 19



(d) 29
12759.

What happens if we add more terms in a polynomial. For eg 3x+ 2x+0 and 5x +4x+ 3x+2x+0. How their graph look like?

Answer»

What happens if we add more terms in a polynomial. For eg 3x+ 2x+0 and 5x +4x+ 3x+2x+0. How their graph look like?

12760.

If three coins are tossed simultaneously, then the probability of getting at least two heads, is(a) 14(b) 38(c) 12(d) 14

Answer» If three coins are tossed simultaneously, then the probability of getting at least two heads, is



(a) 14



(b) 38



(c) 12



(d) 14
12761.

If (x+1,y−2)=(3,1), find the values of x and y.

Answer» If (x+1,y2)=(3,1), find the values of x and y.
12762.

The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate: i) The radius of the sphere ii) The number of cones recast. (Take π=227) [4 MARKS]

Answer» The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:
i) The radius of the sphere
ii) The number of cones recast. (Take π=227) [4 MARKS]
12763.

Find the value of k for which each of the following systems of linear equations has an infinite number of solutions: 5x+2y=2k,2(k+1)x+ky=(3k+4).

Answer»

Find the value of k for which each of the following systems of linear equations has an infinite number of solutions:

5x+2y=2k,2(k+1)x+ky=(3k+4).

12764.

Question 5 S and T are point on sides PR and QR of ΔPQR such that ∠P=∠RTS. Show that ΔRPQ∼ΔRTS.

Answer» Question 5
S and T are point on sides PR and QR of ΔPQR such that P=RTS. Show that ΔRPQΔRTS.
12765.

Chords AB and CD of a circle, produced, meet at P. If PB = 78, AB = 22 and PD = 65; find CD.

Answer»

Chords AB and CD of a circle, produced, meet at P. If PB = 78, AB = 22 and PD = 65; find CD.


12766.

In the given figure, AB > AC. If BO and CO are the bisectors of ∠B and ∠C respectively, then(a) OB = OC(b) OB > OC(c) OB < OC

Answer» In the given figure, AB > AC. If BO and CO are the bisectors of ∠B and ∠C respectively, then

(a) OB = OC

(b) OB > OC

(c) OB < OC

12767.

By investing Rs 7,500 in a company paying 10 per cent dividend, an annual income of Rs 500 is received. What price is paid for each of Rs 100 share?

Answer»

By investing Rs 7,500 in a company paying 10 per cent dividend, an annual income of Rs 500 is received. What price is paid for each of Rs 100 share?

12768.

On the level ground, the angle of elevation of a tower is 30°. On moving 20 meters nearer, the angle of elevation is 60°. The height of the tower is ____________.

Answer» On the level ground, the angle of elevation of a tower is 30°. On moving 20 meters nearer, the angle of elevation is 60°. The height of the tower is ____________.
12769.

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution) :3x − 5y = 206x − 10y = −40

Answer» Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution) :



3x − 5y = 20

6x − 10y = −40
12770.

If n is an odd integer ,then show that n^ 3-1 is divisible by 8

Answer» If n is an odd integer ,then show that n^
3-1 is divisible by 8
12771.

If sin θ=ab, find sec θ + tan θ in terms of a and b.

Answer» If sin θ=ab, find sec θ + tan θ in terms of a and b.
12772.

State basic proportionality theorem and its converse.

Answer» State basic proportionality theorem and its converse.
12773.

In the circle centred at O, the tangents at A and B intersect at P. Prove the following:(i)the point P is equidistant from A and B(ii)the line OP bisects the line AB and the angle APB(iii)if the line OP cuts the line AB at Q, then OQ × OP = r2, where r is the radius of the circle

Answer»

In the circle centred at O, the tangents at A and B intersect at P. Prove the following:



(i)



the point P is equidistant from A and B



(ii)



the line OP bisects the line AB and the angle APB



(iii)



if the line OP cuts the line AB at Q, then OQ × OP = r2, where r is the radius of the circle

12774.

The perimeter of the given figure is

Answer»

The perimeter of the given figure is


12775.

Solve each of the following systems of eqautions by the method of cross-multiplication: 57x+y+6x−y=5 38x+y+21x−y=9

Answer»

Solve each of the following systems of eqautions by the method of cross-multiplication:

57x+y+6xy=5

38x+y+21xy=9

12776.

If ΔPQR∼ΔMNO, then which of the following is always true?

Answer»

If ΔPQRΔMNO, then which of the following is always true?

12777.

A circus tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

Answer» A circus tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.
12778.

Write a program to read a list of n integers and find their median. The median value of a list of values is the middle one when they are arranged in order. If there are two middle values then take their average. Hint: You can use a built-in function to sort the list

Answer» Write a program to read a list of n integers and find their median.

The median value of a list of values is the middle one when they are arranged in order. If there are two middle values then take their average.

Hint: You can use a built-in function to sort the list
12779.

If x = cot A + cos A and y = cot A - cos A, prove that (x−yx+y)2+(x−y2)2=1.

Answer»

If x = cot A + cos A and y = cot A - cos A, prove that

(xyx+y)2+(xy2)2=1.

12780.

let AD be an altitude in a right triangle ABC with \angle A=90 and D on BC.Suppose that radii of incircles of\bigtriangleup ABD and ACD are 33 and 56 respectively .let r be the radius of incircle of \bigtriangleup ABC then find the value of 3(r+7)

Answer» let AD be an altitude in a right triangle ABC with \angle A=90 and D on BC.Suppose that radii of incircles of\bigtriangleup ABD and ACD are 33 and 56 respectively .let r be the radius of incircle of \bigtriangleup ABC then find the value of 3(r+7)
12781.

Express 140 as product of its prime factors.

Answer»

Express 140 as product of its prime factors.



12782.

Which of the following options is/are equal to tan2A+cot2A+2 ?

Answer»

Which of the following options is/are equal to tan2A+cot2A+2 ?



12783.

Points (2, –2), (3, –3), (4, –5), (–3, –4)(a) lie in II quadrant(b) lie in III quadrant(c) lie in IV quadrant(d) do not lie in the same quadrant

Answer» Points (2, –2), (3, –3), (4, –5), (–3, –4)

(a) lie in II quadrant

(b) lie in III quadrant

(c) lie in IV quadrant

(d) do not lie in the same quadrant
12784.

If 76 is divided into four parts proportional to 7 : 5 : 3 : 4, then the smallest part is ___

Answer»

If 76 is divided into four parts proportional to 7 : 5 : 3 : 4, then the smallest part is ___

12785.

A carpenter makes stools for electricians with a square top of side 0.5m and at a height 1.5m above the ground. Also, each leg is inclined at an angle of 60∘ to the ground. Find the lengths of two steps in metres correct up to two places of decimals.

Answer» A carpenter makes stools for electricians with a square top of side 0.5m and at a height 1.5m above the ground. Also, each leg is inclined at an angle of 60 to the ground. Find the lengths of two steps in metres correct up to two places of decimals.
12786.

In the given figure, D is a point on hypotenuse AC of ΔABC, DM ⊥ BC and DN ⊥ AB, Prove that:(i) DM2 = DN.MC(ii) DN2 = DM.AN

Answer»

In the given figure, D is a point on hypotenuse AC of ΔABC, DM ⊥ BC and DN ⊥ AB, Prove that:



(i) DM2 = DN.MC



(ii) DN2 = DM.AN



12787.

The four vertices of a quadrilateral are (1, 2), (-5, 6), (7, -4) and (k, -2) taken in order. If the area of the quadrilateral is zero, find the value of k.

Answer»

The four vertices of a quadrilateral are (1, 2), (-5, 6), (7, -4) and (k, -2) taken in order. If the area of the quadrilateral is zero, find the value of k.

12788.

If R s a relation defined on set A ={1, 2, 3} by the rule (a,b) ∈R⇔a2-b2≤5, then R-1 =____________________.

Answer» If R s a relation defined on set A ={1, 2, 3} by the rule (a,b) Ra2-b25, then R-1 =____________________.
12789.

In the given figure, a triangle A′BC′ is constructed similar to ΔABC. The scale factor will be

Answer»

In the given figure, a triangle ABC is constructed similar to ΔABC. The scale factor will be


12790.

Is -2 a solution of the linear equations 4x−2=8 and 2x=−4 ?

Answer»

Is -2 a solution of the linear equations 4x2=8 and 2x=4 ?



12791.

Question 2(iv) Represent the following situations in the form of quadratic equations. (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Answer» Question 2(iv)
Represent the following situations in the form of quadratic equations.
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
12792.

Write the correct number in the given boxes from the following A. P.(i) 1, 8, 15, 22,...Here a = x , t1 = x , t2 = x , t3 = x ,t2 – t1 = x – x = x t3 – t2 = x – x = x ∴ d = x (ii) 3, 6, 9, 12,...Here t1 = x , t2 = x , t3 = x , t4 = x ,t2 – t1 = x , t3 – t2 = x ∴ d = x (iii) –3, –8, –13, –18,...Here t3 = x , t2 = x , t4 = x , t1 = x ,t2 – t1 = x , t3 – t2 = x ∴ a = x , d = x (iv) 70, 60, 50, 40,...Here t1 = x , t2 = x , t3 = x ,...∴ a = x , d = x

Answer» Write the correct number in the given boxes from the following A. P.

(i) 1, 8, 15, 22,...

Here a = x , t1 = x , t2 = x , t3 = x ,

t2 – t1 = x x = x

t3 – t2 = x x = x ∴ d = x



(ii) 3, 6, 9, 12,...

Here t1 = x , t2 = x , t3 = x , t4 = x ,

t2 – t1 = x , t3 – t2 = x ∴ d = x



(iii) –3, –8, –13, –18,...

Here t3 = x , t2 = x , t4 = x , t1 = x ,

t2 – t1 = x , t3 – t2 = x ∴ a = x , d = x



(iv) 70, 60, 50, 40,...

Here t1 = x , t2 = x , t3 = x ,...

∴ a = x , d = x
12793.

solve the following using the substitution method; 3x-y=3 9x-3y=9

Answer»

solve the following using the substitution method;

3x-y=3

9x-3y=9

12794.

ddx(√cos√x)=

Answer»

ddx(cosx)=


12795.

Construct a △ABC in which AB=6 cm,∠A=30∘ and ∠B=60∘.Construct another △AB′C′ similar to △ABC with base AB'=8 cm.

Answer» Construct a ABC in which AB=6 cm,A=30 and B=60.Construct another ABC similar to ABC with base AB'=8 cm.
12796.

In the figure given below, O is the center of the circle, CA istangent at A and CB is tangent at B drawn to the circle.If ∠ ACB=75∘, then ∠AOB= ______.

Answer»

In the figure given below, O is the center of the circle, CA istangent at A and CB is tangent at B drawn to the circle.



If ACB=75, then AOB= ______.





12797.

Question 1The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

Answer» Question 1

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

12798.

In a single throw of a die, the probability of getting a multiple of 3 is(a) 12(b) 13(c) 16(d) 23

Answer» In a single throw of a die, the probability of getting a multiple of 3 is



(a) 12



(b) 13



(c) 16



(d) 23
12799.

Calculate the difference between the part of container filled with paper and plastic wastes.

Answer»

Calculate the difference between the part of container filled with paper and plastic wastes.
12800.

A person is walking along positive x axis for 10m and then takes turn by angle 60and then moves for 8m. The direction of displacement with x axis:

Answer» A person is walking along positive x axis for 10m and then takes turn by angle 60and then moves for 8m. The direction of displacement with x axis: