32581 + Interview Questions in Mathematics

1.	Which of the following refers to charging different prices from different buyers of the same good?
Answer» Which of the following refers to charging different prices from different buyers of the same good?

Discussion

2.	The angle of ___ is the angle between the line of sight of an observer and the object above his horizontal line of sight.
Answer» The angle of ___ is the angle between the line of sight of an observer and the object above his horizontal line of sight.

Discussion

3.	From a set of 18 cards, numbered 1, 2, 3, .....,17, 18 one card is drawn. What is the probability that the number on the card is multiple of 3 or 7?
Answer» From a set of 18 cards, numbered 1, 2, 3, .....,17, 18 one card is drawn. What is the probability that the number on the card is multiple of 3 or 7?

Discussion

4.	The value of AD in the given below figure is
Answer» The value of AD in the given below figure is

Discussion

5.	The locus of the centre of a circle which touches externally the circle, x2+y2−6x−6y+14=0 and also touches the y-axis is given by the equation:
Answer» The locus of the centre of a circle which touches externally the circle, $x^{2} + y^{2} - 6 x - 6 y + 14 = 0$ and also touches the y-axis is given by the equation:

Discussion

6.	If P(E) = 0.05, what is the probability of ‘not E' ___.
Answer» If P(E) = 0.05, what is the probability of ‘not E' ___.

Discussion

7.	An automobile dealer provides motor cycles and scooters in 3 body patterns and 4 different colours each. The number of choices open to customer is
Answer» An automobile dealer provides motor cycles and scooters in 3 body patterns and 4 different colours each. The number of choices open to customer is

Discussion

8.	The perimeter of a rectangular plot of land is 80 m and its breadth is 16 m. Find the length and area of the plot.
Answer» The perimeter of a rectangular plot of land is 80 m and its breadth is 16 m. Find the length and area of the plot.

Discussion

9.	If LM∥AB,AL=x−3,AC=2x,BM=x−2,BC=2x+3. Then the value of AC is ___
Answer» If $L M ∥ A B, A L = x - 3, A C = 2 x, B M = x - 2, B C = 2 x + 3.$ $Then the value of AC is$ ___

9.

If LM∥AB,AL=x−3,AC=2x,BM=x−2,BC=2x+3. Then the value of AC is ___

Answer»

If $L M ∥ A B, A L = x - 3, A C = 2 x, B M = x - 2, B C = 2 x + 3.$
$Then the value of AC is$ ___

Discussion

10.	A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Answer» A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

Discussion

11.	Find the nature of roots and hence solve 2x2–6x+8=0
Answer» Find the nature of roots and hence solve $2 x^{2} - 6 x + 8 = 0$

Discussion

12.	In the given figure △ABC and △DEF are similar, EF=3 cm, BC=4 cm, and area of △DEF=54 cm2. The area of △ABC is ___ cm2
Answer» In the given figure $△ A B C$ and $△ D E F$ are similar, $E F = 3 c m, B C = 4 c m,$ and area of $△ D E F = 54 c m^{2}$ . The area of $△ A B C$ is ___ $c m^{2}$

12.

In the given figure △ABC and △DEF are similar, EF=3 cm, BC=4 cm, and area of △DEF=54 cm2. The area of △ABC is ___ cm2

Answer»

In the given figure $△ A B C$ and $△ D E F$ are similar, $E F = 3 c m, B C = 4 c m,$ and area of $△ D E F = 54 c m^{2}$ . The area of $△ A B C$ is ___ $c m^{2}$

Discussion

13.	The base BC of the ΔABC is divided at D so that BD=12BC. Prove that ar (ΔABD)=12ar(ΔADC).
Answer» The base BC of the $Δ A B C$ is divided at D so that $B D = \frac{1}{2} B C$ . Prove that ar $(Δ A B D) = \frac{1}{2} a r (Δ A D C)$ .

Discussion

14.	Question 198 Construct a square in which each diagonal is 5 cm long.
Answer» Question 198 Construct a square in which each diagonal is 5 cm long.

Discussion

15.	Question 109 (i) At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?
Answer» Question 109 (i) At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?

15.

Question 109 (i) At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?

Answer»

Question 109 (i)

At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?

Discussion

16.	In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.
Answer» In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

16.

In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

Answer»

In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

Discussion

17.	The value of k for which the points (7,-2), (5, 1), (3, k) collinear is _____.4
Answer» The value of k for which the points (7,-2), (5, 1), (3, k) collinear is _____. 4

Discussion

18.	Write the steps to follow to construct a triangle with sides 5cm and 6cm with the included angle 60∘. Then, construct a triangle with the corresponding sides in the ratio 7:9.
Answer» Write the steps to follow to construct a triangle with sides 5cm and 6cm with the included angle $60^{\circ}$ . Then, construct a triangle with the corresponding sides in the ratio 7:9.

Discussion

19.	In an AP the sum of the first 10 terms is -150 and the sum of its next 10 terms is -550.find the AP.
Answer» In an AP the sum of the first 10 terms is -150 and the sum of its next 10 terms is -550.find the AP.

Discussion

20.	Prove that both the roots of the equation (x−a)(x−b)+(x−b)(x−c)+(x−c)(x−a)=0 are real but they are equal only when a=b=c.
Answer» Prove that both the roots of the equation $(x - a) (x - b) + (x - b) (x - c) + (x - c) (x - a) = 0$ are real but they are equal only when $a = b = c .$

Discussion

21.	Construct a triangle ABC in which BC is 8 cm, ∠ B is 70∘ and AB-AC=7.
Answer» Construct a triangle ABC in which BC is 8 cm, $∠$ B is $70^{\circ}$ and AB-AC=7.

Discussion

22.	A bucket open at the top is of the form of a frustum of a cone. The diameter of its upper and lower circular ends are 40 cm and 20 cm respectively. If total 17600 cm3 of water can be filled in the bucket, find its total surface area. (π=227)
Answer» A bucket open at the top is of the form of a frustum of a cone. The diameter of its upper and lower circular ends are 40 cm and 20 cm respectively. If total $17600 c m^{3}$ of water can be filled in the bucket, find its total surface area. $(π = \frac{22}{7})$

Discussion

23.	Find the value of k for which the points (k+1,2k) ,B (3k, 2k+3) and C(5k-1,5k) are collinear.
Answer» Find the value of k for which the points (k+1,2k) ,B (3k, 2k+3) and C(5k-1,5k) are collinear.

Discussion

24.	Question 10 A circle has radius √2 cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is 45∘.
Answer» Question 10 A circle has radius $\sqrt{2}$ cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is $45^{\circ}$ .

Discussion

25.	An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of 60∘. After 10 seconds, its elevation is boserved to be 30∘; find the uniform speed of the aeroplane in km per hour.
Answer» An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of $60^{\circ}$ . After 10 seconds, its elevation is boserved to be $30^{\circ}$ ; find the uniform speed of the aeroplane in km per hour.

Discussion

26.	If dividend = x4+x3−2x2+x+1, divisor =x−1 and remainder =2, then the quotient will be .
Answer» If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ , divisor $= x - 1$ and remainder $= 2$ , then the quotient will be .

Discussion

27.	500 persons have to dip in a rectangular tank which is 80 m long and 50 m broad. What is the rise in the level of water in the tank, if the average displacement of water by a person is 0.04 m3 ?
Answer» 500 persons have to dip in a rectangular tank which is 80 m long and 50 m broad. What is the rise in the level of water in the tank, if the average displacement of water by a person is 0.04 $m^{3}$ ?

Discussion

28.	Find a quadratic polynomial if the sum and product of its zeros are 2√2 and ⅓
Answer» Find a quadratic polynomial if the sum and product of its zeros are 2√2 and ⅓

Discussion

29.	A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace card is
Answer» A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace card is

Discussion

30.	Find a quadratic polynomial, the sum and product of whose zeroes are 0 and −35 respectively.
Answer» Find a quadratic polynomial, the sum and product of whose zeroes are 0 and $- \frac{3}{5}$ respectively.

Discussion

31.	Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
Answer» Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.

Discussion

32.	Mala deposits Rs. 60 per month in a cumulative deposit account for 6 years. Find the amount payable to her on maturity, if the rate of interest is 5% p.a.
Answer» Mala deposits Rs. 60 per month in a cumulative deposit account for 6 years. Find the amount payable to her on maturity, if the rate of interest is 5% p.a.

Discussion

33.	Which Formulas are use in A. P. And what is the meaning of n
Answer» Which Formulas are use in A. P. And what is the meaning of n

33.

Which Formulas are use in A. P. And what is the meaning of n

Answer»

Which Formulas are use in A. P.

And what is the meaning of n

Discussion

34.	A hemisphere, a cylinder and a cone have equal base diameters and have the same height . prove that their volumes are in the ratio 2:3:1
Answer» A hemisphere, a cylinder and a cone have equal base diameters and have the same height . prove that their volumes are in the ratio 2:3:1

Discussion

35.	Find out the alternative figure which contains figure (X) as its part.
Answer» Find out the alternative figure which contains figure (X) as its part.

35.

Find out the alternative figure which contains figure (X) as its part.

Answer»

Find out the alternative figure which contains figure (X) as its part.

Discussion

36.	Raghu had to make a cylindrical aluminium tube. What is the area of the aluminium sheet required to make the tube if the length of the tube is 1 m and base radius is 3.5 cm? (Take π=227)
Answer» Raghu had to make a cylindrical aluminium tube. What is the area of the aluminium sheet required to make the tube if the length of the tube is $1 m$ and base radius is $3.5 c m ?$ $(Take π = \frac{22}{7})$

Discussion

37.	Nature of roots of x−2x−1=x+42x+2 is
Answer» Nature of roots of $\frac{x - 2}{x - 1}$ = $\frac{x + 4}{2 x + 2}$ is

Discussion

38.	Find the least multiple of 23 which when divided by 18,21 and 24 leaves remainder 7,10 and 13 respectively
Answer» Find the least multiple of $23$ which when divided by $18, 21$ and $24$ leaves remainder $7, 10$ and $13$ respectively

Discussion

39.	The discriminant of the equation 2x2−5x−3=0 is = ___.
Answer» The discriminant of the equation $2 x^{2} - 5 x - 3 = 0$ is = ___.

Discussion

40.	A, B and C can alone complete a work in 15, 25 and 30 days respectively. A and B started the work and after some days A is replaced by C. Now the work is completed in a further of 6411 days. How much of the total work did B do?
Answer» A, B and C can alone complete a work in 15, 25 and 30 days respectively. A and B started the work and after some days A is replaced by C. Now the work is completed in a further of $6 \frac{4}{11}$ days. How much of the total work did B do?

Discussion

41.	A rectangular courtyard is 18m72cm long and 13m20cm broad. It is to be paved with square tiles of same size. Find the least possible number of such tiles.
Answer» A rectangular courtyard is 18m72cm long and 13m20cm broad. It is to be paved with square tiles of same size. Find the least possible number of such tiles.

Discussion

42.	Solve the following inequation and graph the solution set on the number line: 2x−3<x+2≤3x+5,xϵR [3 MARKS]
Answer» Solve the following inequation and graph the solution set on the number line: $2 x - 3 < x + 2 \leq 3 x + 5, x ϵ R$ [3 MARKS]

Discussion

43.	A man invests ₹ 15000 in a company paying 6 % dividend when its ₹ 100 shares can be bought for ₹ 150. Find i) the number of shares he bought ii) his annual income iii) his percentage income on his investment
Answer» A man invests ₹ 15000 in a company paying 6 % dividend when its ₹ 100 shares can be bought for ₹ 150. Find i) the number of shares he bought ii) his annual income iii) his percentage income on his investment

43.

A man invests ₹ 15000 in a company paying 6 % dividend when its ₹ 100 shares can be bought for ₹ 150. Find i) the number of shares he bought ii) his annual income iii) his percentage income on his investment

Answer»

A man invests ₹ 15000 in a company paying 6 % dividend when its ₹ 100 shares can be bought for ₹ 150. Find

i) the number of shares he bought

ii) his annual income

iii) his percentage income on his investment

Discussion

44.	The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if : (i) the original fare is Rs. 245 ; (ii) the increased fare is Rs. 207.
Answer» The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if : (i) the original fare is Rs. 245 ; (ii) the increased fare is Rs. 207.

44.

The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if : (i) the original fare is Rs. 245 ; (ii) the increased fare is Rs. 207.

Answer»

The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if :

(i) the original fare is Rs. 245 ;

(ii) the increased fare is Rs. 207.

Discussion

45.	Find the probability of finding a tail when a coin is tossed in the air when the probability of getting a head is 12?
Answer» Find the probability of finding a tail when a coin is tossed in the air when the probability of getting a head is $\frac{1}{2}$ ?

Discussion

46.	Question 6 A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
Answer» Question 6 A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

Discussion

47.	Question 2 (iii) Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula. (iii) 4x2+4√3x+3=0
Answer» Question 2 (iii) Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula. (iii) $4 x^{2} + 4 \sqrt{3} x + 3 = 0$

Discussion

48.	A cylindrical roller of radius 8 m and height 20 m is to be painted. The ends are to be painted in red and the curved surface is to be painted in blue. If the cost of painting in red is ₹ 2.1 per m2 and the in blue is ₹ 1.4 per m2, what is the total cost of painting?
Answer» A cylindrical roller of radius 8 m and height 20 m is to be painted. The ends are to be painted in red and the curved surface is to be painted in blue. If the cost of painting in red is $₹ 2.1 p e r m^{2}$ and the in blue is $₹ 1.4 p e r m^{2}$ , what is the total cost of painting?

Discussion

49.	Find the equation of the circle which touches the x-axis at a distance of 3 from the origin and cuts an intercepts of 6 on the y-axis.
Answer» Find the equation of the circle which touches the x-axis at a distance of 3 from the origin and cuts an intercepts of 6 on the y-axis.

Discussion

50.	Calculate the ratio in which the line joining A(6, 5) & B(4, -3) is divided by the line y = 2.
Answer» Calculate the ratio in which the line joining A(6, 5) & B(4, -3) is divided by the line y = 2.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following refers to charging different prices from different buyers of the same good?

The angle of ___ is the angle between the line of sight of an observer and the object above his horizontal line of sight.

From a set of 18 cards, numbered 1, 2, 3, .....,17, 18 one card is drawn. What is the probability that the number on the card is multiple of 3 or 7?

The value of AD in the given below figure is

The locus of the centre of a circle which touches externally the circle, x2+y2−6x−6y+14=0 and also touches the y-axis is given by the equation:

If P(E) = 0.05, what is the probability of ‘not E' ___.

An automobile dealer provides motor cycles and scooters in 3 body patterns and 4 different colours each. The number of choices open to customer is

The perimeter of a rectangular plot of land is 80 m and its breadth is 16 m. Find the length and area of the plot.

If LM∥AB,AL=x−3,AC=2x,BM=x−2,BC=2x+3. Then the value of AC is ___

A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

Find the nature of roots and hence solve 2x2–6x+8=0

In the given figure △ABC and △DEF are similar, EF=3 cm, BC=4 cm, and area of △DEF=54 cm2. The area of △ABC is ___ cm2

The base BC of the ΔABC is divided at D so that BD=12BC. Prove that ar (ΔABD)=12ar(ΔADC).

Question 198 Construct a square in which each diagonal is 5 cm long.

Question 109 (i) At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?

In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

The value of k for which the points (7,-2), (5, 1), (3, k) collinear is _____.4

Write the steps to follow to construct a triangle with sides 5cm and 6cm with the included angle 60∘. Then, construct a triangle with the corresponding sides in the ratio 7:9.

In an AP the sum of the first 10 terms is -150 and the sum of its next 10 terms is -550.find the AP.

Prove that both the roots of the equation (x−a)(x−b)+(x−b)(x−c)+(x−c)(x−a)=0 are real but they are equal only when a=b=c.

Construct a triangle ABC in which BC is 8 cm, ∠ B is 70∘ and AB-AC=7.

A bucket open at the top is of the form of a frustum of a cone. The diameter of its upper and lower circular ends are 40 cm and 20 cm respectively. If total 17600 cm3 of water can be filled in the bucket, find its total surface area. (π=227)

Find the value of k for which the points (k+1,2k) ,B (3k, 2k+3) and C(5k-1,5k) are collinear.

Question 10 A circle has radius √2 cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in the major segment is 45∘.

An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of 60∘. After 10 seconds, its elevation is boserved to be 30∘; find the uniform speed of the aeroplane in km per hour.

If dividend = x4+x3−2x2+x+1, divisor =x−1 and remainder =2, then the quotient will be .

500 persons have to dip in a rectangular tank which is 80 m long and 50 m broad. What is the rise in the level of water in the tank, if the average displacement of water by a person is 0.04 m3 ?

Find a quadratic polynomial if the sum and product of its zeros are 2√2 and ⅓

A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace card is

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and −35 respectively.

Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.

Mala deposits Rs. 60 per month in a cumulative deposit account for 6 years. Find the amount payable to her on maturity, if the rate of interest is 5% p.a.

Which Formulas are use in A. P. And what is the meaning of n

A hemisphere, a cylinder and a cone have equal base diameters and have the same height . prove that their volumes are in the ratio 2:3:1 ​​​​​​​

Find out the alternative figure which contains figure (X) as its part.

Raghu had to make a cylindrical aluminium tube. What is the area of the aluminium sheet required to make the tube if the length of the tube is 1 m and base radius is 3.5 cm? (Take π=227)

Nature of roots of x−2x−1=x+42x+2 is

Find the least multiple of 23 which when divided by 18,21 and 24 leaves remainder 7,10 and 13 respectively

The discriminant of the equation 2x2−5x−3=0 is = ___.

A, B and C can alone complete a work in 15, 25 and 30 days respectively. A and B started the work and after some days A is replaced by C. Now the work is completed in a further of 6411 days. How much of the total work did B do?

A rectangular courtyard is 18m72cm long and 13m20cm broad. It is to be paved with square tiles of same size. Find the least possible number of such tiles.

Solve the following inequation and graph the solution set on the number line: 2x−3&lt;x+2≤3x+5,xϵR [3 MARKS]

A man invests ₹ 15000 in a company paying 6 % dividend when its ₹ 100 shares can be bought for ₹ 150. Find i) the number of shares he bought ii) his annual income iii) his percentage income on his investment

The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if : (i) the original fare is Rs. 245 ; (ii) the increased fare is Rs. 207.

Find the probability of finding a tail when a coin is tossed in the air when the probability of getting a head is 12?

Question 6 A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

Question 2 (iii) Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula. (iii) 4x2+4√3x+3=0

A cylindrical roller of radius 8 m and height 20 m is to be painted. The ends are to be painted in red and the curved surface is to be painted in blue. If the cost of painting in red is ₹ 2.1 per m2 and the in blue is ₹ 1.4 per m2, what is the total cost of painting?

Find the equation of the circle which touches the x-axis at a distance of 3 from the origin and cuts an intercepts of 6 on the y-axis.

Calculate the ratio in which the line joining A(6, 5) &amp; B(4, -3) is divided by the line y = 2.

A hemisphere, a cylinder and a cone have equal base diameters and have the same height . prove that their volumes are in the ratio 2:3:1

Solve the following inequation and graph the solution set on the number line: 2x−3<x+2≤3x+5,xϵR [3 MARKS]

Calculate the ratio in which the line joining A(6, 5) & B(4, -3) is divided by the line y = 2.