24740 + Interview Questions in Mathematics

1.	A non-terminating and non-recurring decimal number is known as a/an _________.
Answer» A non-terminating and non-recurring decimal number is known as a/an _________.

Discussion

2.	Applying Euclid’s lemma on a and b, if a = bq + r, then 0≤rb.
Answer» Applying Euclid’s lemma on a and b, if $a = b q + r$ , then $0 \leq r$ b.

Discussion

3.	The points (1,3) and (5,1) are two opposite vertices of a rec†an gle. The other two vertices lie on the line y = 2x + c. Find c and remaining two vertices
Answer» The points (1,3) and (5,1) are two opposite vertices of a rec†an gle. The other two vertices lie on the line y = 2x + c. Find c and remaining two vertices

Discussion

4.	In a grouped frequency distribution, what is another name for class size? __
Answer» In a grouped frequency distribution, what is another name for class size? __

4.

In a grouped frequency distribution, what is another name for class size? __

Answer»

In a grouped frequency distribution, what is another name for class size?

__

Discussion

5.	For three sets A,B & C if A∩B=∅, then A∩(B∪C)=
Answer» For three sets $A, B & C$ if $A \cap B = \emptyset,$ then $A \cap (B \cup C) =$

Discussion

6.	How many revolutions a circular wheel of radius r metres makes in covering a distance of s metres?
Answer» How many revolutions a circular wheel of radius r metres makes in covering a distance of s metres?

Discussion

7.	The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =(a) 70°(b) 90°(c) 80°(d) 100°
Answer» The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC = (a) 70° (b) 90° (c) 80° (d) 100°

Discussion

8.	Using the data in example (3) above, prepare less than type cumulative frequency table and answer the following questions. (i) How many students obtained less than 40 marks ? (ii) How many students obtained less than 10 marks ? (iii) How many students obtained less than 60 marks ? (iv) Find the cumulative frequency of the class 50-60.
Answer» Using the data in example (3) above, prepare less than type cumulative frequency table and answer the following questions. (i) How many students obtained less than 40 marks ? (ii) How many students obtained less than 10 marks ? (iii) How many students obtained less than 60 marks ? (iv) Find the cumulative frequency of the class 50-60.

Discussion

9.	The compound interest on a certain sum of the money at 5%per annum for 2 years is Rs. 328. What will be simple interest on the same amount for the same period and at same rate of interest?
Answer» The compound interest on a certain sum of the money at $5 %$ per annum for 2 years is Rs. 328. What will be simple interest on the same amount for the same period and at same rate of interest?

Discussion

10.	In triangle PQR, if angle P < angle Q thena) PQ>QR b) QR>PQc) PR>QR d) None of these
Answer» In triangle PQR, if angle P < angle Q then a) PQ>QR b) QR>PQ c) PR>QR d) None of these

Discussion

11.	If secθ=135,then show that2sinθ−3cosθ4sinθ−9cosθ=3
Answer» If $sec θ = \frac{13}{5}, then show that \frac{2 s i n θ - 3 c o s θ}{4 s i n θ - 9 c o s θ} = 3$

Discussion

12.	Construct the right angled Δ PQR, where ∠ Q = 90∘, QR = 8 cm and PR = 10 cm.
Answer» Construct the right angled $Δ$ PQR, where $∠$ Q = $90^{\circ}$ , QR = 8 cm and PR = 10 cm.

Discussion

13.	The following observations are arranged in ascending order: 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93. If fife median is 65, find the value of x.
Answer» The following observations are arranged in ascending order: 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93. If fife median is 65, find the value of x.

Discussion

14.	Is there any difference between geometry and shape
Answer» Is there any difference between geometry and shape

Discussion

15.	To determine all angles of a parallelogram, which of the following is the minimum necessary condition?
Answer» To determine all angles of a parallelogram, which of the following is the minimum necessary condition?

Discussion

16.	If x=2+√3, then x3+1x3 = __.
Answer» If $x = 2 + \sqrt{3}$ , then $x^{3} + \frac{1}{x^{3}}$ = __.

Discussion

17.

Journalise the following:− 2017 March 4 Purchased building for ₹ 1,50,000 and incurred expenses of ₹ 10,000 on its purchase. March 10 Satish who owed us ₹ 20,000 is declared insolvent and 60 paise per ₹ is received from his estate. March 15 Paid ₹ 500 for repairing the office furniture. March 18 Proprietor withdrew for his personal use cash ₹ 5,000 and goods worth ₹ 2,000. March 20 Purchased the following items for business: Iron Safe ₹ 15,000; Filing Cabinet ₹ 5,000; Computer ₹ 12,000; Postage ₹ 200 and Stationery ₹ 150. March 28 Paid electricity charges ₹ 1,600. March 31 Charge depreciation on Machinery 10% for one year (Machinery ₹ 75,000). March 31 Outstanding wages at the end of the year ₹ 6,000.

Answer» Journalise the following:−

2017
March 4		Purchased building for ₹ 1,50,000 and incurred expenses of ₹ 10,000 on its purchase.
March 10		Satish who owed us ₹ 20,000 is declared insolvent and 60 paise per ₹ is received from his estate.
March 15		Paid ₹ 500 for repairing the office furniture.
March 18		Proprietor withdrew for his personal use cash ₹ 5,000 and goods worth ₹ 2,000.
March 20		Purchased the following items for business:
		Iron Safe ₹ 15,000; Filing Cabinet ₹ 5,000; Computer ₹ 12,000; Postage ₹ 200 and Stationery ₹ 150.
March 28		Paid electricity charges ₹ 1,600.
March 31		Charge depreciation on Machinery 10% for one year (Machinery ₹ 75,000).
March 31		Outstanding wages at the end of the year ₹ 6,000.

Discussion

18.	Fill In The Blanks 80 bulbs are selected at random from a lot and their life time (in hrs) is recorded in the form of following frequency table: Life time (in hrs): 300 500 700 900 1000Frequency : 10 12 23 25 10One bulb is selected at random from the lot. The probability that its life is 1150 hours is __________.
Answer» Fill In The Blanks 80 bulbs are selected at random from a lot and their life time (in hrs) is recorded in the form of following frequency table: Life time (in hrs): 300 500 700 900 1000 Frequency : 10 12 23 25 10 One bulb is selected at random from the lot. The probability that its life is 1150 hours is __________.

Discussion

19.	The cost of painting the curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at the rate of ₹ 10 per sq. meter is :(Take pi=227)
Answer» The cost of painting the curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at the rate of ₹ 10 per sq. meter is : (Take pi= $\frac{22}{7}$ )

Discussion

20.	Find 'x', if 8x−2×124−3x=(0.0625)x.
Answer» Find 'x', if $8^{x - 2} \times {\frac{1}{2}}^{4 - 3 x} = (0.0625)^{x}$ .

Discussion

21.	Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angles.
Answer» Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angles.

Discussion

22.	Find the mean of the marks obtained by 20 students in a classroom MarksFrequency872783531982922971812652983762
Answer» Find the mean of the marks obtained by 20 students in a classroom $\begin{matrix} M a r k s & F r e q u e n c y 87 & 2 78 & 3 53 & 1 98 & 2 92 & 2 97 & 1 81 & 2 65 & 2 98 & 3 76 & 2 \end{matrix}$

22.

Find the mean of the marks obtained by 20 students in a classroom MarksFrequency872783531982922971812652983762

Answer»

Find the mean of the marks obtained by 20 students in a classroom

$\begin{matrix} M a r k s & F r e q u e n c y 87 & 2 78 & 3 53 & 1 98 & 2 92 & 2 97 & 1 81 & 2 65 & 2 98 & 3 76 & 2 \end{matrix}$

Discussion

23.	How does one fnd the remainder when dividing a polynomial of one variable by another polynomial of one variable when the degree of the divisor ≥2 without long division.
Answer» How does one fnd the remainder when dividing a polynomial of one variable by another polynomial of one variable when the degree of the divisor ≥2 without long division.

Discussion

24.	Question 5In a Δ ABC, ∠C = 3 ∠B = 2 (∠A + ∠B). Find the three angles.
Answer» Question 5 In a $Δ$ ABC, $∠$ C = 3 $∠$ B = 2 ( $∠$ A + $∠$ B). Find the three angles.

Discussion

25.	if (x+1) is factor of f(x)=a0x^n + a1x^n-1-------- an^1 then (a) a0+a1 + ------ + an = 0(b) a0+a2 + ----- = 0(c) a1+a3 + ----- = 0(d) a0+a2+a4 + ------- = a1+a3+a5+ ------
Answer» if (x+1) is factor of f(x)=a0x^n + a1x^n-1-------- an^1 then (a) a0+a1 + ------ + an = 0 (b) a0+a2 + ----- = 0 (c) a1+a3 + ----- = 0 (d) a0+a2+a4 + ------- = a1+a3+a5+ ------

Discussion

26.	the straight line joining the origin to the point of intersection of two curvesax^2+2hxy+by^2+2gx=0
Answer» the straight line joining the origin to the point of intersection of two curvesax^2+2hxy+by^2+2gx=0

Discussion

27.	Four statements follow a paragraph. Input the statement which captures the essence of the paragraph most appropriately. Einstein, Hemmingway, Van Gogh. These are some of the most gifted and talented minds ever to grace the earth. Were they normal? No, in fact they were far from it. Each had weaknesses of his own. Einstein was known to be a little crazy. Hemmingway enjoyed throwing one back every now and again. And Van Gogh was deeply depressed for years. So can these men still be geniuses despite their conditions? If so, then was the great John Nash brilliant as well or simply insane? A. Einstein, Hemmingway, Van Gogh were immensely gifted and talented. They were geniuses in all respects. B. Einstein, Hemmingway, Van Gogh were God's own gift to humanity. Each had a weakness of his own kind. John Nash demonstrated similar traits. Were they truly geniuses ? C. John Nash can be truly regarded as brilliant as Einstein, Hemmingway and Van Gogh. All of them had some weakness or the other, however, that did not detract their greatness from them. D. The most gifted minds were in fact a little crazy. This facet is amplified by great geniuses like Einstein, Hemmingway, Van Gogh and Nash. ___
Answer» Four statements follow a paragraph. Input the statement which captures the essence of the paragraph most appropriately. Einstein, Hemmingway, Van Gogh. These are some of the most gifted and talented minds ever to grace the earth. Were they normal? No, in fact they were far from it. Each had weaknesses of his own. Einstein was known to be a little crazy. Hemmingway enjoyed throwing one back every now and again. And Van Gogh was deeply depressed for years. So can these men still be geniuses despite their conditions? If so, then was the great John Nash brilliant as well or simply insane? A. Einstein, Hemmingway, Van Gogh were immensely gifted and talented. They were geniuses in all respects. B. Einstein, Hemmingway, Van Gogh were God's own gift to humanity. Each had a weakness of his own kind. John Nash demonstrated similar traits. Were they truly geniuses ? C. John Nash can be truly regarded as brilliant as Einstein, Hemmingway and Van Gogh. All of them had some weakness or the other, however, that did not detract their greatness from them. D. The most gifted minds were in fact a little crazy. This facet is amplified by great geniuses like Einstein, Hemmingway, Van Gogh and Nash. ___

Discussion

28.	In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year.
Answer» In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year.

Discussion

29.	Area of a triangle is:
Answer» Area of a triangle is:

Discussion

30.	AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠BAD=∠ABE and ∠EPA=∠DPB (See the given figure). Show that ΔDAP≅ΔEBP
Answer» $A B$ is a line segment and $P$ is its mid-point. $D$ and $E$ are points on the same side of $A B$ such that $∠ B A D = ∠ A B E and ∠ E P A = ∠ D P B$ (See the given figure). Show that $Δ D A P ≅ Δ E B P$

Discussion

31.	If P and Q are any two points lying respectively on the sides DC and AD of a parallelogram ABCD then show that ar(△APB)=ar(△BQC).
Answer» If P and Q are any two points lying respectively on the sides DC and AD of a parallelogram ABCD then show that $a r (△ A P B) = a r (△ B Q C)$ .

Discussion

32.	Factorise 27a3 + 64b3
Answer» Factorise 27a³ + 64b³

Discussion

33.	Consider the parallelogram given. Find the values of the unknowns x, y, and z.
Answer» Consider the parallelogram given. Find the values of the unknowns x, y, and z.

Discussion

34.	Triangle ABC is right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC, intersects AC at D.Show that: CM=MA=12AB
Answer» Triangle ABC is right angled at $C$ . A line through the mid-point $M$ of hypotenuse $A B$ and parallel to $B C$ , intersects AC at D. Show that: $C M = M A = \frac{1}{2} A B$

Discussion

35.	How many arcs are drawn during the construction of a perpendicular bisector?__
Answer» How many arcs are drawn during the construction of a perpendicular bisector?__

Discussion

36.	Identify any two factors after factorising the expression x3−6x2+11x−6. The factors are and .
Answer» Identify any two factors after factorising the expression $x^{3} - 6 x^{2} + 11 x - 6$ . The factors are and .

Discussion

37.	Question 3(iii) Multiply and reduce to lowest form and convert into a mixed fraction: (iii)2×67
Answer» Question 3(iii) Multiply and reduce to lowest form and convert into a mixed fraction: $(i i i) 2 \times \frac{6}{7}$

Discussion

38.	Match the following: QuadrilateralProperties1. TrapeziumA) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90∘2. SquareB) A quadrilateral, where only one pair of opposite sides is parallel and unequal3. RectangleC) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90∘4. RhombusD) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90∘
Answer» Match the following: $\begin{matrix} Q u a d r i l a t e r a l & P r o p e r t i e s 1. T r a p e z i u m & A) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s b i s e c t a t r i g h t a n g l e s, a l l s i d e s a r e e q u a l a n d n o n e o f t h e a n g l e s a r e e q u a l t o 90^{\circ} 2. S q u a r e & B) A q u a d r i l a t e r a l, w h e r e o n l y o n e p a i r o f o p p o s i t e s i d e s i s p a r a l l e l a n d u n e q u a l 3. R e c t a n g l e & C) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s a r e e q u a l, a l l s i d e s e q u a l a n d a l l t h e a n g l e s a r e 90^{\circ} 4. R h o m b u s & D) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s a n d o p p o s i t e s i d e s a r e e q u a l, a n d a l l t h e a n g l e s a r e 90^{\circ} \end{matrix}$

Discussion

39.	Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:(i) p(x) = x2 + x + k (ii) (iii) (iv) p(x) = kx2 − 3x + k
Answer» Find the value of k, if x − 1 is a factor of p(x) in each of the following cases: (i) p(x) = x² + x + k (ii) (iii) (iv) p(x) = kx² − 3x + k

39.

Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:(i) p(x) = x2 + x + k (ii) (iii) (iv) p(x) = kx2 − 3x + k

Answer»

Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:

(i) p(x) = x² + x + k (ii)

(iii) (iv) p(x) = kx² − 3x + k

Discussion

40.	A square is a parallelogram where diagonals bisect each other to form ___.
Answer» A square is a parallelogram where diagonals bisect each other to form ___.

Discussion

41.	In a triangle, if the two interior angles 30∘ and (x+20∘) are non-adjacent to an exterior angle (2x+5∘), then find the value of x.
Answer» In a triangle, if the two interior angles $30^{\circ}$ and $(x + 20^{\circ})$ are non-adjacent to an exterior angle $(2 x + 5^{\circ})$ , then find the value of $x$ .

Discussion

42.	If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately(a) 60(b) 68(c) 73(d) 78
Answer» If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately (a) 60 (b) 68 (c) 73 (d) 78

Discussion

43.	1∫0dx1+xP, where P∈R+ lies in the interval
Answer» $1 \int 0 \frac{d x}{1 + x^{P}}$ , where $P \in R^{+}$ lies in the interval

Discussion

44.	In the above figure, AB=c, BC=a, AC=b, AD=y, DB=p. Check which of the following options is correct?
Answer» In the above figure, AB=c, BC=a, AC=b, AD=y, DB=p. Check which of the following options is correct?

44.

In the above figure, AB=c, BC=a, AC=b, AD=y, DB=p. Check which of the following options is correct?

Answer»

In the above figure, AB=c, BC=a, AC=b, AD=y, DB=p. Check which of the following options is correct?

Discussion

45.	If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then find the middle number when all the numbers are arranged in ascending order.
Answer» If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then find the middle number when all the numbers are arranged in ascending order.

Discussion

46.	△PQR, right-angled at Q, if PR=24cm, QR=12cm, then find the value of ∠QRP.
Answer» $△ P Q R$ , right-angled at Q, if PR=24cm, QR=12cm, then find the value of $∠ Q R P$ .

46.

△PQR, right-angled at Q, if PR=24cm, QR=12cm, then find the value of ∠QRP.

Answer»

$△ P Q R$ , right-angled at Q, if PR=24cm, QR=12cm, then find the value of $∠ Q R P$ .

Discussion

47.	In the above figure , find the value of x.
Answer» In the above figure , find the value of $x$ .

47.

In the above figure , find the value of x.

Answer»

In the above figure , find the value of $x$ .

Discussion

48.	An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be ___
Answer» An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be ___

Discussion

49.	The equation x = a represents a straight line parallel to __
Answer» The equation x = a represents a straight line parallel to __

Discussion

50.	Two distinct lines :
Answer» Two distinct lines :

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A non-terminating and non-recurring decimal number is known as a/an _________.

Applying Euclid’s lemma on a and b, if a = bq + r, then 0≤rb.

The points (1,3) and (5,1) are two opposite vertices of a rec†an gle. The other two vertices lie on the line y = 2x + c. Find c and remaining two vertices

In a grouped frequency distribution, what is another name for class size? __

For three sets A,B &amp; C if A∩B=∅, then A∩(B∪C)=

How many revolutions a circular wheel of radius r metres makes in covering a distance of s metres?

The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =(a) 70°(b) 90°(c) 80°(d) 100°

The compound interest on a certain sum of the money at 5%per annum for 2 years is Rs. 328. What will be simple interest on the same amount for the same period and at same rate of interest?

In triangle PQR, if angle P < angle Q thena) PQ>QR b) QR>PQc) PR>QR d) None of these

If secθ=135,then show that2sinθ−3cosθ4sinθ−9cosθ=3

Construct the right angled Δ PQR, where ∠ Q = 90∘, QR = 8 cm and PR = 10 cm.

The following observations are arranged in ascending order: 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93. If fife median is 65, find the value of x.

Is there any difference between geometry and shape

To determine all angles of a parallelogram, which of the following is the minimum necessary condition?

If x=2+√3, then x3+1x3 = __.

The cost of painting the curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at the rate of ₹ 10 per sq. meter is :(Take pi=227)

Find 'x', if 8x−2×124−3x=(0.0625)x.

Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angles.

Find the mean of the marks obtained by 20 students in a classroom MarksFrequency872783531982922971812652983762

How does one fnd the remainder when dividing a polynomial of one variable by another polynomial of one variable when the degree of the divisor ≥2 without long division.

Question 5In a Δ ABC, ∠C = 3 ∠B = 2 (∠A + ∠B). Find the three angles.

if (x+1) is factor of f(x)=a0x^n + a1x^n-1-------- an^1 then (a) a0+a1 + ------ + an = 0(b) a0+a2 + ----- = 0(c) a1+a3 + ----- = 0(d) a0+a2+a4 + ------- = a1+a3+a5+ ------

the straight line joining the origin to the point of intersection of two curvesax^2+2hxy+by^2+2gx=0

In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year.

Area of a triangle is:

AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠BAD=∠ABE and ∠EPA=∠DPB (See the given figure). Show that ΔDAP≅ΔEBP

If P and Q are any two points lying respectively on the sides DC and AD of a parallelogram ABCD then show that ar(△APB)=ar(△BQC).

Factorise 27a3 + 64b3

Consider the parallelogram given. Find the values of the unknowns x, y, and z.

Triangle ABC is right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC, intersects AC at D.Show that: CM=MA=12AB

How many arcs are drawn during the construction of a perpendicular bisector?__

Identify any two factors after factorising the expression x3−6x2+11x−6. The factors are and .

Question 3(iii) Multiply and reduce to lowest form and convert into a mixed fraction: (iii)2×67

Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:(i) p(x) = x2 + x + k (ii) (iii) (iv) p(x) = kx2 − 3x + k

A square is a parallelogram where diagonals bisect each other to form ___.

In a triangle, if the two interior angles 30∘ and (x+20∘) are non-adjacent to an exterior angle (2x+5∘), then find the value of x.

If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately(a) 60(b) 68(c) 73(d) 78

1∫0dx1+xP, where P∈R+ lies in the interval

In the above figure, AB=c, BC=a, AC=b, AD=y, DB=p. Check which of the following options is correct?

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then find the middle number when all the numbers are arranged in ascending order.

△PQR, right-angled at Q, if PR=24cm, QR=12cm, then find the value of ∠QRP.

In the above figure , find the value of x.

An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be ___

The equation x = a represents a straight line parallel to __

Two distinct lines :

For three sets A,B & C if A∩B=∅, then A∩(B∪C)=