24740 + Interview Questions in Mathematics

1.	The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.
Answer» The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.

Discussion

2.	48 If a and b are the zeroes of quadratic polynomial f(t) =t-5t+3,then find the value is of ab+ab
Answer» 48 If a and b are the zeroes of quadratic polynomial f(t) =t-5t+3,then find the value is of ab+ab

Discussion

3.	Factorize: x2+6√2x+10
Answer» Factorize: $x^{2} + 6 \sqrt{2} x + 10$

3.

Factorize: x2+6√2x+10

Answer»

Factorize:

$x^{2} + 6 \sqrt{2} x + 10$

Discussion

4.	Question 3: Use the figure to name. (a) A line passing through A
Answer» Question 3: Use the figure to name. (a) A line passing through A

4.

Question 3: Use the figure to name. (a) A line passing through A

Answer»

Question 3: Use the figure to name.

(a) A line passing through A

Discussion

5.	Which of the following is an irrational number?
Answer» Which of the following is an irrational number?

Discussion

6.	In a quadrilater ABCD, the angles A, B, C and D are in the ratio 2 : 4 : 5 : 7. Find the measure of each angle of the quadrilateral.
Answer» In a quadrilater ABCD, the angles A, B, C and D are in the ratio 2 : 4 : 5 : 7. Find the measure of each angle of the quadrilateral.

Discussion

7.	In the given circle, with AB as diameter, find the value of 'x'.
Answer» In the given circle, with AB as diameter, find the value of 'x'.

7.

In the given circle, with AB as diameter, find the value of 'x'.

Answer»

In the given circle, with AB as diameter, find the value of 'x'.

Discussion

8.	If log 2+12log a+12log b=log (a+b), then which of the following holds true?
Answer» If $l o g 2 + \frac{1}{2} l o g a + \frac{1}{2} l o g b = l o g (a + b)$ , then which of the following holds true?

Discussion

9.	Question 1 (i)Without actually performing the long division, state whether 133125 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Answer» Question 1 (i) Without actually performing the long division, state whether $\frac{13}{3125}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Discussion

10.	draw a circle of5.6 diameter
Answer» draw a circle of5.6 diameter

Discussion

11.	The scalars l and m such that l→a+m→b=→c where →a,→b and →c are given vectors, are equal to
Answer» The scalars l and m such that $l \to a + m \to b = \to c$ where $\to a, \to b$ and $\to c$ are given vectors, are equal to

Discussion

12.	In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1:2:4:5. Find the measure of each angle of the quadrilateral.
Answer» In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1:2:4:5. Find the measure of each angle of the quadrilateral.

Discussion

13.	A parallelogram whose all sides are equal is known as:
Answer» A parallelogram whose all sides are equal is known as:

Discussion

14.	Can we have a chord in a circle longer than its diameter?
Answer» Can we have a chord in a circle longer than its diameter?

Discussion

15.	If log4 5 = a and log5 6 = b, then log3 2 is equal to
Answer» If $l o g_{4}$ 5 = a and $l o g_{5}$ 6 = b, then $l o g_{3}$ 2 is equal to

Discussion

16.	If x = 2 is a root of the polynomial f(x) = 2x2 -3x +7a, find the value of a .
Answer» If x = 2 is a root of the polynomial f(x) = $2 x^{2}$ -3x +7a, find the value of a .

Discussion

17.	The point (0, 4) lies
Answer» The point (0, 4) lies

Discussion

18.	Let,a,b,c;p,q,r;l,m,n are the d.c.of three mutually perpendicular straight lines.Prove that d.c.of a straight line which generate equal angle with these straight line will be a+p+l,b+q+m,c+r+n.
Answer» Let,a,b,c;p,q,r;l,m,n are the d.c.of three mutually perpendicular straight lines.Prove that d.c.of a straight line which generate equal angle with these straight line will be a+p+l,b+q+m,c+r+n.

Discussion

19.	Question 89 What figure is formed if only the height of a cube is increased or decreased?
Answer» Question 89 What figure is formed if only the height of a cube is increased or decreased?

Discussion

20.	Question 9 (iv)Classify 7.478478....... as rational or irrational.
Answer» Question 9 (iv) Classify 7.478478....... as rational or irrational.

Discussion

21.

The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below: Plans: I II III IV V VI Expenditure on health (in 10 crores of rupees) 7 14 23 34 76 182 Construct a bar graph to represent the above data.

Answer» The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below:

Plans:	I	II	III	IV	V	VI
Expenditure on health (in 10 crores of rupees)	7	14	23	34	76	182

Construct a bar graph to represent the above data.

Discussion

22.	Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]
Answer» Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]

22.

Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]

Answer»

Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]

Discussion

23.	pi is the perimeter of parallelogram (strictly parallelogram, not rectangle) ABCP and p2 be the perimeter of the rectangle ABEF. If sides CD and EF are on same side of AB and both haveequal areas, then(A) P, P294(B) P,
Answer» pi is the perimeter of parallelogram (strictly parallelogram, not rectangle) ABCP and p2 be the perimeter of the rectangle ABEF. If sides CD and EF are on same side of AB and both haveequal areas, then(A) P, P294(B) P,

Discussion

24.	By Rationalising the denominator ,find the value of 12+√3 upto 2 significant figures.
Answer» By Rationalising the denominator ,find the value of $\frac{1}{2 + \sqrt{3}}$ upto 2 significant figures.

Discussion

25.	Question 4 (ii) If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]
Answer» Question 4 (ii) If the lateral surface of a cylinder is $94.2 c m^{2}$ and its height is 5 cm, then find: (ii) its volume. $[U s e π = 3.14]$

25.

Question 4 (ii) If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]

Answer»

Question 4 (ii)
If the lateral surface of a cylinder is $94.2 c m^{2}$ and its height is 5 cm, then find:

(ii) its volume. $[U s e π = 3.14]$

Discussion

26.	The value of a property decrease every year at the rate of 5% . if the present value is ₹411540 what was its value 3 years ago
Answer» The value of a property decrease every year at the rate of 5% . if the present value is ₹411540 what was its value 3 years ago

Discussion

27.	Estimate the Square root of 256.
Answer» Estimate the Square root of 256.

Discussion

28.	A person invested Rs 5,600 at 14% p.a. compounded interest for 2 years. Find the interest for the first year.
Answer» A person invested Rs 5,600 at 14% p.a. compounded interest for 2 years. Find the interest for the first year.

Discussion

29.	Question 67A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?
Answer» Question 67 A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

29.

Question 67A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

Answer»

Question 67

A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

Discussion

30.	Identify the correct diagram related to cross-multiplication method for following pair of equations. 2x+3y=44 3x+5y=76
Answer» Identify the correct diagram related to cross-multiplication method for following pair of equations. $2 x + 3 y = 44$ $3 x + 5 y = 76$

30.

Identify the correct diagram related to cross-multiplication method for following pair of equations. 2x+3y=44 3x+5y=76

Answer»

Identify the correct diagram related to cross-multiplication method for following pair of equations.

$2 x + 3 y = 44$

$3 x + 5 y = 76$

Discussion

31.	In the given figure, find the values of the angles x, y, and z :
Answer» In the given figure, find the values of the angles x, y, and z :

Discussion

32.	X takes 3 hours more than Y to walk 30 km. But if X doubles his pace, he is ahead of Y by 1.5 hours. The speed of X is:
Answer» X takes 3 hours more than Y to walk 30 km. But if X doubles his pace, he is ahead of Y by 1.5 hours. The speed of X is:

Discussion

33.	If two cuboids of lengths 6 cm and 2 cm, breadths 2 cm and 1.5 cm and heights 2 cm and 1 cm are molten to form a single cube, find the side of the cube.
Answer» If two cuboids of lengths 6 cm and 2 cm, breadths 2 cm and 1.5 cm and heights 2 cm and 1 cm are molten to form a single cube, find the side of the cube.

Discussion

34.	What can the maximum number of digits be in the repeating block of digits in the decimal expansion of? Perform the division to check your answer.
Answer» What can the maximum number of digits be in the repeating block of digits in the decimal expansion of? Perform the division to check your answer.

Discussion

35.	Find the simplest form of:(i) 6992(ii) 473645(iii) 10951168(iv) 368496
Answer» Find the simplest form of: (i) $\frac{69}{92}$ (ii) $\frac{473}{645}$ (iii) $\frac{1095}{1168}$ (iv) $\frac{368}{496}$

Discussion

36.	(6.2×2)−(3.63×3) = ___
Answer» $(6.2 \times 2) - (3.63 \times 3)$ = ___

Discussion

37.	In which quadrant does the point (-101, -299) lie?
Answer» In which quadrant does the point (-101, -299) lie?

Discussion

38.	The 34th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.
Answer» The $\frac{3}{4}$ th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.

Discussion

39.	ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC.
Answer» ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC.

Discussion

40.	Simplify 7 log(3215)+5 log(2524)+3 log(81160)
Answer» Simplify $7 l o g (\frac{32}{15}) + 5 l o g (\frac{25}{24}) + 3 l o g (\frac{81}{160})$

Discussion

41.	The probability of an event occurring is 0.7. The probability of that event not occuring is __. Please give the decimal value.
Answer» The probability of an event occurring is 0.7. The probability of that event not occuring is __. Please give the decimal value.

Discussion

42.	19. Equation of the parabola whose vertex Is (-1,-2) axis is vertical and which passes through the point (3,6)?
Answer» 19. Equation of the parabola whose vertex Is (-1,-2) axis is vertical and which passes through the point (3,6)?

Discussion

43.	Coefficient of y in the term −y9 is ____.
Answer» Coefficient of y in the term $\frac{- y}{9}$ is ____.

Discussion

44.	The total surface area of a box which is in the form of a cuboid whose dimensions are l×b×h is__________.
Answer» The total surface area of a box which is in the form of a cuboid whose dimensions are $l \times b \times h$ is__________.

Discussion

45.	O is any point in the interior of Δ ABC. Prove that(i) AB + AC > OB + OC(ii) AB + BC + CA > OA + OB + OC(iii) OA + OB + OC > 12(AB + BC + CA)
Answer» O is any point in the interior of Δ ABC. Prove that (i) AB + AC > OB + OC (ii) AB + BC + CA > OA + OB + OC (iii) OA + OB + OC > $\frac{1}{2}$ (AB + BC + CA)

Discussion

46.	in the given figure, P,Q and R are the mid-points of sides AB. AC and BC of triangle ABC respectuely IF AD is perpendicular to BC. then prove that PQRD is a cyclic quadrlateral.
Answer» in the given figure, P,Q and R are the mid-points of sides AB. AC and BC of triangle ABC respectuely IF AD is perpendicular to BC. then prove that PQRD is a cyclic quadrlateral.

Discussion

47.	A box contains 6 red marbles numbers from 1 through 6 and 4 white marbles 12 through 15. Find the probability that a marble drawn at random is white and odd numbered.
Answer» A box contains 6 red marbles numbers from 1 through 6 and 4 white marbles 12 through 15. Find the probability that a marble drawn at random is white and odd numbered.

Discussion

48.	In Fig X and Y are two points on equal sides AB and AC of a ΔABC such that AX=XY. Prove that XC = YB.
Answer» In Fig X and Y are two points on equal sides AB and AC of a $Δ A B C$ such that AX=XY. Prove that XC = YB.

Discussion

49.	The sides of a triangle are 21 cm, 17 cm and 10 cm. Find it's area.
Answer» The sides of a triangle are 21 cm, 17 cm and 10 cm. Find it's area.

Discussion

50.	If ABCD is a parallelogram, then prove thatar (ΔABD) = ar (ΔBCD) = ar (ΔABC) = ar (ΔACD) = 12 ar (\|\|gm ABCD)
Answer» If ABCD is a parallelogram, then prove that ar (ΔABD) = ar (ΔBCD) = ar (ΔABC) = ar (ΔACD) = $\frac{1}{2}$ ar (\|\|^gm ABCD)

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.

48 If a and b are the zeroes of quadratic polynomial f(t) =t-5t+3,then find the value is of ab+ab

Factorize: x2+6√2x+10

Question 3: Use the figure to name. (a) A line passing through A​​

Which of the following is an irrational number?

In a quadrilater ABCD, the angles A, B, C and D are in the ratio 2 : 4 : 5 : 7. Find the measure of each angle of the quadrilateral.

In the given circle, with AB as diameter, find the value of 'x'.

If log 2+12log a+12log b=log (a+b), then which of the following holds true?

Question 1 (i)Without actually performing the long division, state whether 133125 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

draw a circle of5.6 diameter

The scalars l and m such that l→a+m→b=→c where →a,→b and →c are given vectors, are equal to

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1:2:4:5. Find the measure of each angle of the quadrilateral.

A parallelogram whose all sides are equal is known as:

Can we have a chord in a circle longer than its diameter?

If log4 5 = a and log5 6 = b, then log3 2 is equal to

If x = 2 is a root of the polynomial f(x) = 2x2 -3x +7a, find the value of a .

The point (0, 4) lies

Let,a,b,c;p,q,r;l,m,n are the d.c.of three mutually perpendicular straight lines.Prove that d.c.of a straight line which generate equal angle with these straight line will be a+p+l,b+q+m,c+r+n.

Question 89 What figure is formed if only the height of a cube is increased or decreased?

Question 9 (iv)Classify 7.478478....... as rational or irrational.

The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below: Plans: I II III IV V VI Expenditure on health (in 10 crores of rupees) 7 14 23 34 76 182 Construct a bar graph to represent the above data.

Prove that a parallelogram inscribed in a circle is a rectangle. [2 MARKS]

pi is the perimeter of parallelogram (strictly parallelogram, not rectangle) ABCP and p2 be the perimeter of the rectangle ABEF. If sides CD and EF are on same side of AB and both haveequal areas, then(A) P, P294(B) P,

By Rationalising the denominator ,find the value of 12+√3 upto 2 significant figures.

Question 4 (ii) If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]

The value of a property decrease every year at the rate of 5% . if the present value is ₹411540 what was its value 3 years ago

Estimate the Square root of 256.

A person invested Rs 5,600 at 14% p.a. compounded interest for 2 years. Find the interest for the first year.

Question 67A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

Identify the correct diagram related to cross-multiplication method for following pair of equations. 2x+3y=44 3x+5y=76

In the given figure, find the values of the angles x, y, and z :

X takes 3 hours more than Y to walk 30 km. But if X doubles his pace, he is ahead of Y by 1.5 hours. The speed of X is:

If two cuboids of lengths 6 cm and 2 cm, breadths 2 cm and 1.5 cm and heights 2 cm and 1 cm are molten to form a single cube, find the side of the cube.

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of? Perform the division to check your answer.

Find the simplest form of:(i) 6992(ii) 473645(iii) 10951168(iv) 368496

(6.2×2)−(3.63×3) = ___

In which quadrant does the point (-101, -299) lie?

The 34th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.

ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC.

Simplify 7 log(3215)+5 log(2524)+3 log(81160)

The probability of an event occurring is 0.7. The probability of that event not occuring is __. Please give the decimal value.

19. Equation of the parabola whose vertex Is (-1,-2) axis is vertical and which passes through the point (3,6)?

Coefficient of y in the term −y9 is ____.

The total surface area of a box which is in the form of a cuboid whose dimensions are l×b×h is__________.

O is any point in the interior of Δ ABC. Prove that(i) AB + AC > OB + OC(ii) AB + BC + CA > OA + OB + OC(iii) OA + OB + OC > 12(AB + BC + CA)

in the given figure, P,Q and R are the mid-points of sides AB. AC and BC of triangle ABC respectuely IF AD is perpendicular to BC. then prove that PQRD is a cyclic quadrlateral.

A box contains 6 red marbles numbers from 1 through 6 and 4 white marbles 12 through 15. Find the probability that a marble drawn at random is white and odd numbered.

In Fig X and Y are two points on equal sides AB and AC of a ΔABC such that AX=XY. Prove that XC = YB.

The sides of a triangle are 21 cm, 17 cm and 10 cm. Find it's area.

If ABCD is a parallelogram, then prove thatar (ΔABD) = ar (ΔBCD) = ar (ΔABC) = ar (ΔACD) = 12 ar (||gm ABCD)

Question 3: Use the figure to name. (a) A line passing through A