24740 + Interview Questions in Mathematics Page 20 InterviewSolution

951.	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

952.	A tacheometer was placed at point P to estimate the horizontal distances PQ and PR. The corresponding stadia intercepts with the telescope kept horizontal are 0.320 and 0.210 m respectively. The ∠QPR is measured to be 61∘30′30′′ . If the stadia multiplication constant = 100 and stadia addition constant = 0.10 m. The horizontal distance (in m) between the points Q and R is____ 28.8
Answer» A tacheometer was placed at point P to estimate the horizontal distances PQ and PR. The corresponding stadia intercepts with the telescope kept horizontal are 0.320 and 0.210 m respectively. The $∠$ QPR is measured to be $61^{\circ} 30^{'} 30^{''}$ . If the stadia multiplication constant = 100 and stadia addition constant = 0.10 m. The horizontal distance (in m) between the points Q and R is____ 28.8

Discussion

953.	Question 1(v)Find the product of the following pairs of monomials: 4p,0
Answer» Question 1(v) Find the product of the following pairs of monomials: 4p,0

Discussion

954.	Hermaan drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?
Answer» Hermaan drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Discussion

955.	Reduce the following to their lowest terms.(a) 1640(b) 3672(c) 4563
Answer» Reduce the following to their lowest terms. (a) $\frac{16}{40}$ (b) $\frac{36}{72}$ (c) $\frac{45}{63}$

955.

Reduce the following to their lowest terms.(a) 1640(b) 3672(c) 4563

Answer»

Reduce the following to their lowest terms.

(a) $\frac{16}{40}$

(b) $\frac{36}{72}$

(c) $\frac{45}{63}$

Discussion

956.	Question 120State whether the statements are True or False.Every square is a trapezium.
Answer» Question 120 State whether the statements are True or False. Every square is a trapezium.

Discussion

957.	If the perimeter of an equilateral triangle is 60 m, then its area is(a) 103 m2(b) 153 m2(c) 203 m2(d) 1003 m2
Answer» If the perimeter of an equilateral triangle is 60 m, then its area is (a) $10 \sqrt{3} m^{2}$ (b) $15 \sqrt{3} m^{2}$ (c) $20 \sqrt{3} m^{2}$ (d) $100 \sqrt{3} m^{2}$

Discussion

958.	Prove that the Accounting Equation is satisfied in all the following transactions of Suresh. Also prepare a Balance Sheet.(i) Commenced business with cash ₹ 60,000.(ii) Paid rent in advance ₹ 500.(iii) Purchased goods for cash ₹ 30,000 and credit ₹ 20,000.(iv) Sold goods for cash ₹ 30,000 costing ₹ 20,000.(v) Paid salary ₹ 500 and salary outstanding being ₹ 100.(vi) Bought motorcycle for personal use ₹ 5,000.
Answer» Prove that the Accounting Equation is satisfied in all the following transactions of Suresh. Also prepare a Balance Sheet. (i) Commenced business with cash ₹ 60,000. (ii) Paid rent in advance ₹ 500. (iii) Purchased goods for cash ₹ 30,000 and credit ₹ 20,000. (iv) Sold goods for cash ₹ 30,000 costing ₹ 20,000. (v) Paid salary ₹ 500 and salary outstanding being ₹ 100. (vi) Bought motorcycle for personal use ₹ 5,000.

Discussion

959.	Factorise: x2−26x+133
Answer» Factorise: $x^{2} - 26 x + 133$

Discussion

960.	________ is the degree of the multivariate polynomial 4xy+x2y2+x2y4+1.6
Answer» ________ is the degree of the multivariate polynomial $4 x y + x^{2} y^{2} + x^{2} y^{4} + 1.$ 6

Discussion

961.	If a point (1,3k) lies on kx+4y=26, the value of k is
Answer» If a point (1,3 $k$ ) lies on $k x + 4 y = 26$ , the value of $k$ is

Discussion

962.	Is Root 49 Divided by root 147 Rational or irrational?
Answer» Is Root 49 Divided by root 147 Rational or irrational?

Discussion

963.	A fire in a building B is reported on telephone to two fire stations P and Q, 20 km a part from each other on a straight road. P observes that the fire is at an angle of 60° to the road and Q observes that it is at an angle of 45° to the road. Which station should send its team and how much will this team have to travel?
Answer» A fire in a building B is reported on telephone to two fire stations P and Q, 20 km a part from each other on a straight road. P observes that the fire is at an angle of 60° to the road and Q observes that it is at an angle of 45° to the road. Which station should send its team and how much will this team have to travel?

Discussion

964.	A circle of radius 8 cm is inscribed in a square, then the area of shaded region is .(π=3.14)
Answer» A circle of radius 8 cm is inscribed in a square, then the area of shaded region is .( $π = 3.14$ )

Discussion

965.	If a = 3, b = 2 and c = -1, then find the value of k if k = a + b - c .
Answer» If a = 3, b = 2 and c = -1, then find the value of k if k = a + b - c .

Discussion

966.	Question 115(vii) Express the following in standard form: Express 2 yr in seconds.
Answer» Question 115(vii) Express the following in standard form: Express 2 yr in seconds.

966.

Question 115(vii) Express the following in standard form: Express 2 yr in seconds.

Answer»

Question 115(vii)

Express the following in standard form:
Express 2 yr in seconds.

Discussion

967.	Find the number of lines and line segments in the given figure respectively.
Answer» Find the number of lines and line segments in the given figure respectively.

Discussion

968.	Question 3Construct the Parallelogram MORE whereOR=6 cm, RE= 4.5 cm, EO = 7.5 cm
Answer» Question 3 Construct the Parallelogram MORE where OR=6 cm, RE= 4.5 cm, EO = 7.5 cm

Discussion

969.	how to find phase angle and phase difference in shm
Answer» how to find phase angle and phase difference in shm

Discussion

970.	In the given figure, ∠PQR=100∘, where P, Q and R are the points on a circle with centre O. What will be the value of ∠OPR?
Answer» In the given figure, $∠ P Q R = 100^{\circ},$ where P, Q and R are the points on a circle with centre O. What will be the value of $∠ O P R$ ?

Discussion

971.	ABCD is a trapezium in which AB \|\| CD and AD = BC (see the given figure). Show that(i) ∠A = ∠B(ii) ∠C = ∠D(iii) ΔABC ≅ ΔBAD(iv) diagonal AC = diagonal BD[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]
Answer» ABCD is a trapezium in which AB \|\| CD and AD = BC (see the given figure). Show that (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

971.

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that(i) ∠A = ∠B(ii) ∠C = ∠D(iii) ΔABC ≅ ΔBAD(iv) diagonal AC = diagonal BD[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Answer»

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) diagonal AC = diagonal BD

[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Discussion

972.	Find the remainder when x3 – ax2+6x–a is divided by x–a.
Answer» Find the remainder when $x^{3}$ – a $x^{2} + 6 x - a$ is divided by $x - a$ .

Discussion

973.	Sin 18 +cos 36 =
Answer» Sin 18 +cos 36 =

Discussion

974.	In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that : (i) Δ ACQ and Δ ASB are congruent. (ii) CQ =BS.
Answer» In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that : (i) $Δ$ ACQ and $Δ$ ASB are congruent. (ii) CQ =BS.

974.

In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that : (i) Δ ACQ and Δ ASB are congruent. (ii) CQ =BS.

Answer»

In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that :

(i) $Δ$ ACQ and $Δ$ ASB are congruent.

(ii) CQ =BS.

Discussion

975.	For real number R out of the following, which is not correct ?(A) N ⊂ R (B) (a, b) ⊂ R, a < b (C) π ∉ R (D) f ⊂ R
Answer» For real number R out of the following, which is not correct ? (A) N ⊂ R (B) (a, b) ⊂ R, a < b (C) π ∉ R (D) f ⊂ R

Discussion

976.

The table given below shows the age distribution of 1000 persons who visited a marketing centre on a Sunday. Age (in years) 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 – 60 60 – 70 Number of persons 105 222 220 138 102 113 100 Find the mean age of the persons visiting the marketing centre on that day.

Answer» The table given below shows the age distribution of 1000 persons who visited a marketing centre on a Sunday.

Age (in years)	0 − 10	10 − 20	20 − 30	30 − 40	40 − 50	50 – 60	60 – 70
Number of persons	105	222	220	138	102	113	100

Find the mean age of the persons visiting the marketing centre on that day.

Discussion

977.	The angle of depression will be :
Answer» The angle of depression will be :

Discussion

978.	The decimal expansion of pi is:
Answer» The decimal expansion of pi is:

Discussion

979.	Question 6Construct a square of side 3cm.
Answer» Question 6 Construct a square of side 3cm.

Discussion

980.	If x is a positive real number and x2=2, then x3=
Answer» If x is a positive real number and $x^{2} = 2, t h e n x^{3} =$

Discussion

981.	Name the polynomial containing two nonzero terms.
Answer» Name the polynomial containing two nonzero terms.

Discussion

982.	N=√√5+2+√√5-2-√3-2√2/√√5+1
Answer» N=√√5+2+√√5-2-√3-2√2/√√5+1

Discussion

983.	Question 5In the following question, out of the four options, only one is correct. Write the correct answer:The value fo 35÷3−6 is :(a) 35(b) 3−6(c) 311(d) 3−11
Answer» Question 5 In the following question, out of the four options, only one is correct. Write the correct answer: The value fo $3^{5} \div 3^{- 6}$ is : (a) $3^{5}$ (b) $3^{- 6}$ (c) $3^{11}$ (d) $3^{- 11}$

983.

Question 5In the following question, out of the four options, only one is correct. Write the correct answer:The value fo 35÷3−6 is :(a) 35(b) 3−6(c) 311(d) 3−11

Answer»

Question 5

In the following question, out of the four options, only one is correct. Write the correct answer:

The value fo $3^{5} \div 3^{- 6}$ is :

(a) $3^{5}$

(b) $3^{- 6}$

(c) $3^{11}$

(d) $3^{- 11}$

Discussion

984.	If sin A=cos A, then 2 tan2 A−2 sec2 A+5= ___
Answer» If $s i n A = c o s A$ , then $2 t a n^{2} A - 2 s e c^{2} A + 5 =$ ___

Discussion

985.	Question 15 ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.
Answer» Question 15 ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.

Discussion

986.	Z=-1+I polur representation
Answer» Z=-1+I polur representation

Discussion

987.	A room is 4.8 m long, 3.6 m broad and 2 m high. Find the cost of laying tiles on its floor and its four walls at the rate of Rs 100/m2.
Answer» A room is 4.8 m long, 3.6 m broad and 2 m high. Find the cost of laying tiles on its floor and its four walls at the rate of Rs 100/m².

Discussion

988.	Find the circumference of the circle from the figure. (Use π=227)
Answer» Find the circumference of the circle from the figure. (Use $π = \frac{22}{7}$ )

Discussion

989.	Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.
Answer» Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.

Discussion

990.	A quadrilateral ABCD is to be constructed with AB = 3cm, BC = 4cm, CD = 4.5 cm, AD= 2cm. What will be the maximum length of BD, if the length of BD is a whole number?
Answer» A quadrilateral ABCD is to be constructed with AB = 3cm, BC = 4cm, CD = 4.5 cm, AD= 2cm. What will be the maximum length of BD, if the length of BD is a whole number?

Discussion

991.	Two circles with radii of 4 cm and 6 cm respectively are in contact with each other. What will be the distance between their centers?
Answer» Two circles with radii of $4$ cm and $6$ cm respectively are in contact with each other. What will be the distance between their centers?

Discussion

992.	Which of these numbers is not a natural number?
Answer» Which of these numbers is not a natural number?

Discussion

993.	Given below is the concentration of SO2 in air (in ppm = parts per million) in 30 localities:SO2 concentration (in ppm)Number of localities0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242Find the mean of SO2 concentration using assumed - mean method.0.099
Answer» Given below is the concentration of SO₂ in air (in ppm = parts per million) in 30 localities: $\begin{matrix} S O_{2} concentration (in ppm) & Number of localities 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 \end{matrix}$ Find the mean of $S O_{2}$ concentration using assumed - mean method. 0.099

Discussion

994.	What is the area of an equilateral triangle whose side is 8 cm?
Answer» What is the area of an equilateral triangle whose side is $8 cm$ ?

Discussion

995.	In the given figure, ABCD is a rhombus, P and Q are the mid-points of BO and DO respectively. Which of the following is not always correct?
Answer» In the given figure, ABCD is a rhombus, P and Q are the mid-points of BO and DO respectively. Which of the following is not always correct?

Discussion

996.	The principle of mathematical induction is for the set of:
Answer» The principle of mathematical induction is for the set of:

Discussion

997.	The mean of five numbers is 4. If 1 is added to each other, then the new mean is(a) 4 (b) 5 (c) 3 (d) 5.5
Answer» The mean of five numbers is 4. If 1 is added to each other, then the new mean is (a) 4 (b) 5 (c) 3 (d) 5.5

Discussion

998.	An exterior angle of a triangle is equal to the sum of two_______opposite angles.
Answer» An exterior angle of a triangle is equal to the sum of two_______opposite angles.

Discussion

999.	A line separates a plane into _______ parts namely the _______ and the _______ itself.
Answer» A line separates a plane into _______ parts namely the _______ and the _______ itself.

Discussion

1000.	ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.
Answer» ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

Discussion

Explore topic-wise InterviewSolutions in .

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

Question 1(v)Find the product of the following pairs of monomials: 4p,0

Hermaan drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Reduce the following to their lowest terms.(a) 1640(b) 3672(c) 4563

Question 120State whether the statements are True or False.Every square is a trapezium.

If the perimeter of an equilateral triangle is 60 m, then its area is(a) 103 m2(b) 153 m2(c) 203 m2(d) 1003 m2

Factorise: x2−26x+133

________ is the degree of the multivariate polynomial 4xy+x2y2+x2y4+1.6

If a point (1,3k) lies on kx+4y=26, the value of k is

Is Root 49 Divided by root 147 Rational or irrational?

A circle of radius 8 cm is inscribed in a square, then the area of shaded region is .(π=3.14)

If a = 3, b = 2 and c = -1, then find the value of k if k = a + b - c .

Question 115(vii) Express the following in standard form: Express 2 yr in seconds.

Find the number of lines and line segments in the given figure respectively.

Question 3Construct the Parallelogram MORE whereOR=6 cm, RE= 4.5 cm, EO = 7.5 cm

how to find phase angle and phase difference in shm

In the given figure, ∠PQR=100∘, where P, Q and R are the points on a circle with centre O. What will be the value of ∠OPR?

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that(i) ∠A = ∠B(ii) ∠C = ∠D(iii) ΔABC ≅ ΔBAD(iv) diagonal AC = diagonal BD[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Find the remainder when x3 – ax2+6x–a is divided by x–a.

Sin 18 +cos 36 =

In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that : (i) Δ ACQ and Δ ASB are congruent. (ii) CQ =BS.

For real number R out of the following, which is not correct ?(A) N ⊂ R (B) (a, b) ⊂ R, a < b (C) π ∉ R (D) f ⊂ R

The angle of depression will be :

The decimal expansion of pi is:

Question 6Construct a square of side 3cm.

If x is a positive real number and x2=2, then x3=

Name the polynomial containing two nonzero terms.

N=√√5+2+√√5-2-√3-2√2/√√5+1

Question 5In the following question, out of the four options, only one is correct. Write the correct answer:The value fo 35÷3−6 is :(a) 35(b) 3−6(c) 311(d) 3−11

If sin A=cos A, then 2 tan2 A−2 sec2 A+5= ___

Question 15 ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.

Z=-1+I polur representation

A room is 4.8 m long, 3.6 m broad and 2 m high. Find the cost of laying tiles on its floor and its four walls at the rate of Rs 100/m2.

Find the circumference of the circle from the figure. (Use π=227)

Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.

A quadrilateral ABCD is to be constructed with AB = 3cm, BC = 4cm, CD = 4.5 cm, AD= 2cm. What will be the maximum length of BD, if the length of BD is a whole number?

Two circles with radii of 4 cm and 6 cm respectively are in contact with each other. What will be the distance between their centers?

Which of these numbers is not a natural number?

Given below is the concentration of SO2 in air (in ppm = parts per million) in 30 localities:SO2 concentration (in ppm)Number of localities0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242Find the mean of SO2 concentration using assumed - mean method.0.099

What is the area of an equilateral triangle whose side is 8 cm?

In the given figure, ABCD is a rhombus, P and Q are the mid-points of BO and DO respectively. Which of the following is not always correct?

The principle of mathematical induction is for the set of:

The mean of five numbers is 4. If 1 is added to each other, then the new mean is(a) 4 (b) 5 (c) 3 (d) 5.5

An exterior angle of a triangle is equal to the sum of two_______opposite angles.

A line separates a plane into _______ parts namely the _______ and the _______ itself.

ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

A line separates a plane into ___ parts namely the _ and the _____ itself.