24740 + Interview Questions in Mathematics

1.	Question 1 The blood groups of 30 students are recorded as follows A, B, O, A, AB, O, A, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A Prepare a frequency distribution table for the data.
Answer» Question 1 The blood groups of 30 students are recorded as follows A, B, O, A, AB, O, A, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A Prepare a frequency distribution table for the data.

Discussion

2.	Numbers that can be expressed as a ratio of p and q where, p and q are integers and q≠0 are called ___ numbers.
Answer» Numbers that can be expressed as a ratio of $p$ and $q$ where, $p$ and $q$ are integers and $q \neq 0$ are called ___ numbers.

Discussion

3.	Question 8 ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.
Answer» Question 8 ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

3.

Question 8 ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

Answer»

Question 8
ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

Discussion

4.	x−m is equal to
Answer» $x^{- m}$ is equal to

Discussion

5.	Q44. City Y is half way between two other cities X and Z. All are alongside the river. X boat can go from X to Y and back in 2 h and 15 min and from Z to X in 3 h/min how long would it take to go from 2 to X?
Answer» Q44. City Y is half way between two other cities X and Z. All are alongside the river. X boat can go from X to Y and back in 2 h and 15 min and from Z to X in 3 h/min how long would it take to go from 2 to X?

Discussion

6.	Question 40 Which of the following can never be the measure of the exterior angle of a regular polygon? a) 22∘ b) 36∘ c) 45∘ d) 30∘
Answer» Question 40 Which of the following can never be the measure of the exterior angle of a regular polygon? a) $22^{\circ}$ b) $36^{\circ}$ c) $45^{\circ}$ d) $30^{\circ}$

Discussion

7.	if three coins are tossed simutaneously than find the probability of getting atleast two heads
Answer» if three coins are tossed simutaneously than find the probability of getting atleast two heads

Discussion

8.	A frequency polygon is drawn for the following data. So the x-coordinate of the point having y coordinate as 21 is
Answer» A frequency polygon is drawn for the following data. So the x-coordinate of the point having y coordinate as 21 is

8.

A frequency polygon is drawn for the following data. So the x-coordinate of the point having y coordinate as 21 is

Answer»

A frequency polygon is drawn for the following data. So the x-coordinate of the point having y coordinate as 21 is

Discussion

9.	A, B and C started a business in partnership by investing Rs. 18000. At the end of a year, A, B and C received Rs. 700, Rs. 500 and Rs. 600 respectively as profit share. Calculate the capital invested by A in the business.
Answer» A, B and C started a business in partnership by investing Rs. 18000. At the end of a year, A, B and C received Rs. 700, Rs. 500 and Rs. 600 respectively as profit share. Calculate the capital invested by A in the business.

Discussion

10.	In the adjoining figure, PQ \|\| BC. What is the value of x
Answer» In the adjoining figure, PQ \|\| BC. What is the value of x

10.

In the adjoining figure, PQ || BC. What is the value of x

Answer»

In the adjoining figure, PQ || BC. What is the value of x

Discussion

11.	There are infinite numbers between two rational numbers,the numbers can be even in fraction form. Explain in detail with other numbers .
Answer» There are infinite numbers between two rational numbers,the numbers can be even in fraction form. Explain in detail with other numbers .

Discussion

12.	The equation of the straight line which passes through the point (3, 4) and whose intercept on y-axis is twice that on x-axis, is
Answer» The equation of the straight line which passes through the point (3, 4) and whose intercept on y-axis is twice that on x-axis, is

Discussion

13.	What is the difference between the compound interests on ₹10,000 for 2 years at 20% per annum compounded yearly and half-yearly?
Answer» What is the difference between the compound interests on ₹10,000 for 2 years at 20% per annum compounded yearly and half-yearly?

Discussion

14.	The mean of 50 observations is 39. If one of the observations which was 23 was replaced by 43, the resulting mean will be
Answer» The mean of 50 observations is 39. If one of the observations which was 23 was replaced by 43, the resulting mean will be

Discussion

15.	Given graph represents _______________ pair of linear equations having _____________solution(s).
Answer» Given graph represents _______________ pair of linear equations having _____________solution(s).

15.

Given graph represents ___ pair of linear equations having _solution(s).

Answer»

Given graph represents _______________ pair of linear equations having _____________solution(s).

Discussion

16.	If A={2, 4, 6, 8}, then 7 ___ A.
Answer» If A={2, 4, 6, 8}, then 7 ___ A.

Discussion

17.	The power set of a singleton set has elements in all.
Answer» The power set of a singleton set has elements in all.

Discussion

18.	State the type of the conditional clause in the sentence. He will be there in time for the trip if he finds the way to the station.
Answer» State the type of the conditional clause in the sentence. He will be there in time for the trip if he finds the way to the station.

18.

State the type of the conditional clause in the sentence. He will be there in time for the trip if he finds the way to the station.

Answer»

State the type of the conditional clause in the sentence.

He will be there in time for the trip if he finds the way to the station.

Discussion

19.	Question 44 Fill in the blanks to make the statement true. If we multiply six negative integers and six positive integers, then the resulting integer is ___.
Answer» Question 44 Fill in the blanks to make the statement true. If we multiply six negative integers and six positive integers, then the resulting integer is ___.

19.

Question 44 Fill in the blanks to make the statement true. If we multiply six negative integers and six positive integers, then the resulting integer is ___.

Answer»

Question 44

Fill in the blanks to make the statement true.

If we multiply six negative integers and six positive integers, then the resulting integer is ___.

Discussion

20.	Question 4 ABCD is a trapezium in which AB \|\| DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F ( See the given figure). Show that F is the mid - point of BC.
Answer» Question 4 ABCD is a trapezium in which AB \|\| DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F ( See the given figure). Show that F is the mid - point of BC.

Discussion

21.	If (x,3) and (3,5) are the ends of the diameter of a circle with centre at (2,y) then (x,y) is
Answer» If (x,3) and (3,5) are the ends of the diameter of a circle with centre at (2,y) then (x,y) is

Discussion

22.	If y = 21logx4. Then
Answer» If y = $2^{\frac{1}{{log}_{x^{4}}}}$ . Then

Discussion

23.	If one of the diameters of the circle, given by the equation x2+y2−4x+6y−12=0, is a chord of a circle S, whose centre is at (-3,2), then the radius of S is
Answer» If one of the diameters of the circle, given by the equation $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ , is a chord of a circle S, whose centre is at (-3,2), then the radius of S is

Discussion

24.	If a + 3b = 5, then the value of a3 + 27b3 + 45ab is.
Answer» If a + 3b = 5, then the value of a³ + 27b³ + 45ab is.

Discussion

25.	ABCD is a rhombus. Find the equation of diagonal BD if A = (2, 7) and C = (6, –9).
Answer» ABCD is a rhombus. Find the equation of diagonal BD if A = (2, 7) and C = (6, –9).

Discussion

26.	Circumcircle touches the __ of a hexagon.
Answer» Circumcircle touches the __ of a hexagon.

Discussion

27.	How many tangents can be drawn to a circle from a point outside the circle?
Answer» How many tangents can be drawn to a circle from a point outside the circle?

Discussion

28.	A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex is ___
Answer» A quadrilateral has an area of $453.6 m^{2}$ . The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex is ___

Discussion

29.	At compound interest rate if a certain sum of money doubles in n years then the amount will be four-fold in ______.
Answer» At compound interest rate if a certain sum of money doubles in n years then the amount will be four-fold in ______.

Discussion

30.	Coordinates of a point on the y-axis is of the form _____________. [2 MARKS]
Answer» Coordinates of a point on the y-axis is of the form _____________. [2 MARKS]

Discussion

31.	In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p,q and r in terms of x.
Answer» In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p,q and r in terms of x.

31.

In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p,q and r in terms of x.

Answer»

In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p,q and r in terms of x.

Discussion

32.	A point C(4,1) divides the Line Segment AB in the ratio 2 : 3.Co-ordinates of A are (1,3) and that of B are (5,y). Find the value of y.
Answer» A point C(4,1) divides the Line Segment AB in the ratio 2 : 3.Co-ordinates of A are (1,3) and that of B are (5,y). Find the value of y.

32.

A point C(4,1) divides the Line Segment AB in the ratio 2 : 3.Co-ordinates of A are (1,3) and that of B are (5,y). Find the value of y.

Answer»

A point C(4,1) divides the Line Segment AB in the ratio 2 : 3.Co-ordinates of A are (1,3) and that of B are (5,y). Find the value of y.

Discussion

33.	The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are 30∘ and 45∘, respectively. Find the distance between the two buildings.
Answer» The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are $30^{\circ}$ and $45^{\circ}$ , respectively. Find the distance between the two buildings.

Discussion

34.	Question 7 (ii) ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD ⊥ AC .
Answer» Question 7 (ii) ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD $⊥$ AC .

Discussion

35.	Your challenge is to mark the points between the rays PA and PB (both included) which lie at a certain distance, say 'd', from a point P, as shown. PC = d. How many such points exist?
Answer» Your challenge is to mark the points between the rays PA and PB (both included) which lie at a certain distance, say 'd', from a point P, as shown. PC = d. How many such points exist?

Discussion

36.	36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :
Answer» 36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :

Discussion

37.	The zeroes of mn(x2+1)=(m2+n2)x are:
Answer» The zeroes of $m n (x^{2} + 1) = (m^{2} + n^{2}) x$ are:

Discussion

38.	PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16cm and RS = 12 cm. Find the distance between PQ and RS if they lie on the same side of the centre.
Answer» PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16cm and RS = 12 cm. Find the distance between PQ and RS if they lie on the same side of the centre.

38.

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16cm and RS = 12 cm. Find the distance between PQ and RS if they lie on the same side of the centre.

Answer»

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16cm and RS = 12 cm. Find the distance between PQ and RS if they lie on the same side of the centre.

Discussion

39.	ABCD is a parallelogram and ∠ A=75∘. Find ∠ B.
Answer» ABCD is a parallelogram and $∠ A = 75^{\circ} .$ Find $∠ B$ .

Discussion

40.	If 2160 = 2p×3q×5r, frind the values of p,q and r
Answer» If 2160 = $2^{p} \times 3^{q} \times 5^{r}$ , frind the values of $p, q a n d r$

Discussion

41.	According to a census taken towards the end of the year 2009, the population of a rural town was found to be 64,000. The census authority also found that the population of this particular town had a growth of 5% per annum. In how many years after 2004 did the population of this town reach 74,088 ?
Answer» According to a census taken towards the end of the year 2009, the population of a rural town was found to be 64,000. The census authority also found that the population of this particular town had a growth of 5% per annum. In how many years after 2004 did the population of this town reach 74,088 ?

Discussion

42.	What is the maximum value of 12n, if n is a non-negative integer?
Answer» What is the maximum value of $\frac{1}{2^{n}}$ , if n is a non-negative integer?

42.

What is the maximum value of 12n, if n is a non-negative integer?

Answer»

What is the maximum value of $\frac{1}{2^{n}}$ , if n is a non-negative integer?

Discussion

43.	Find the area of the triangle whose sides are 18 m, 24 m and 30 m.
Answer» Find the area of the triangle whose sides are 18 m, 24 m and 30 m.

Discussion

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

44.

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

Answer»

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

Discussion

45.	In the given figure, if AB \|\| CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is:
Answer» In the given figure, if $A B \| \| C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , the value of y is:

Discussion

46.	Sum of all angles in a quadrilateral equals __
Answer» Sum of all angles in a quadrilateral equals __

Discussion

47.	Find 3 rational numbers between 3 and 4 using method of averages. [3 MARKS]
Answer» Find 3 rational numbers between 3 and 4 using method of averages. [3 MARKS]

Discussion

48.	A fixed volume of water flows into a rectangular water tank such that the rate of water flow can be changed by using different pipes. Which of the following relations represent(s) inverse proportions?
Answer» A fixed volume of water flows into a rectangular water tank such that the rate of water flow can be changed by using different pipes. Which of the following relations represent(s) inverse proportions?

Discussion

49.	What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?
Answer» What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?

Discussion

50.	The domain of the function f(x)=e(√5x−3−2x2) is
Answer» The domain of the function $f (x) = e^{(\sqrt{5 x - 3 - 2 x^{2}})}$ is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 The blood groups of 30 students are recorded as follows A, B, O, A, AB, O, A, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A Prepare a frequency distribution table for the data.

Numbers that can be expressed as a ratio of p and q where, p and q are integers and q≠0 are called ___ numbers.

Question 8 ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

x−m is equal to

Q44. City Y is half way between two other cities X and Z. All are alongside the river. X boat can go from X to Y and back in 2 h and 15 min and from Z to X in 3 h/min how long would it take to go from 2 to X?

Question 40 Which of the following can never be the measure of the exterior angle of a regular polygon? a) 22∘ b) 36∘ c) 45∘ d) 30∘

if three coins are tossed simutaneously than find the probability of getting atleast two heads

A frequency polygon is drawn for the following data. So the x-coordinate of the point having y coordinate as 21 is

A, B and C started a business in partnership by investing Rs. 18000. At the end of a year, A, B and C received Rs. 700, Rs. 500 and Rs. 600 respectively as profit share. Calculate the capital invested by A in the business.

In the adjoining figure, PQ || BC. What is the value of x

There are infinite numbers between two rational numbers,the numbers can be even in fraction form. Explain in detail with other numbers .

The equation of the straight line which passes through the point (3, 4) and whose intercept on y-axis is twice that on x-axis, is

What is the difference between the compound interests on ₹10,000 for 2 years at 20% per annum compounded yearly and half-yearly?

The mean of 50 observations is 39. If one of the observations which was 23 was replaced by 43, the resulting mean will be

Given graph represents _______________ pair of linear equations having _____________solution(s).

If A={2, 4, 6, 8}, then 7 ___ A.

The power set of a singleton set has elements in all.

State the type of the conditional clause in the sentence. He will be there in time for the trip if he finds the way to the station.

Question 44 Fill in the blanks to make the statement true. If we multiply six negative integers and six positive integers, then the resulting integer is ___.

Question 4 ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F ( See the given figure). Show that F is the mid - point of BC.

If (x,3) and (3,5) are the ends of the diameter of a circle with centre at (2,y) then (x,y) is

If y = 21logx4. Then

If one of the diameters of the circle, given by the equation x2+y2−4x+6y−12=0, is a chord of a circle S, whose centre is at (-3,2), then the radius of S is

If a + 3b = 5, then the value of a3 + 27b3 + 45ab is.

ABCD is a rhombus. Find the equation of diagonal BD if A = (2, 7) and C = (6, –9).

Circumcircle touches the __ of a hexagon.

How many tangents can be drawn to a circle from a point outside the circle?

A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex is ___

At compound interest rate if a certain sum of money doubles in n years then the amount will be four-fold in ______.

Coordinates of a point on the y-axis is of the form _____________. [2 MARKS]

In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p,q and r in terms of x.

A point C(4,1) divides the Line Segment AB in the ratio 2 : 3.Co-ordinates of A are (1,3) and that of B are (5,y). Find the value of y.

The angles of depression of the top and the bottom of a 10 m tall building from the top of a multi-storeyed building are 30∘ and 45∘, respectively. Find the distance between the two buildings.

Question 7 (ii) ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD ⊥ AC .

Your challenge is to mark the points between the rays PA and PB (both included) which lie at a certain distance, say 'd', from a point P, as shown. PC = d. How many such points exist?

36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :

The zeroes of mn(x2+1)=(m2+n2)x are:

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16cm and RS = 12 cm. Find the distance between PQ and RS if they lie on the same side of the centre.

ABCD is a parallelogram and ∠ A=75∘. Find ∠ B.

If 2160 = 2p×3q×5r, frind the values of p,q and r

According to a census taken towards the end of the year 2009, the population of a rural town was found to be 64,000. The census authority also found that the population of this particular town had a growth of 5% per annum. In how many years after 2004 did the population of this town reach 74,088 ?

What is the maximum value of 12n, if n is a non-negative integer?

Find the area of the triangle whose sides are 18 m, 24 m and 30 m.

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

In the given figure, if AB || CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is:

Sum of all angles in a quadrilateral equals __

Find 3 rational numbers between 3 and 4 using method of averages. [3 MARKS]

A fixed volume of water flows into a rectangular water tank such that the rate of water flow can be changed by using different pipes. Which of the following relations represent(s) inverse proportions?

What is the volume of a rectangular box, which is 2 feet high, 6 feet wide and 6 feet long?

The domain of the function f(x)=e(√5x−3−2x2) is

Given graph represents ___ pair of linear equations having _solution(s).