32581 + Interview Questions in Mathematics

1.	Question 88 (viii) Factorise the following expression. 2a3−3a2b+5ab2−ab
Answer» Question 88 (viii) Factorise the following expression. $2 a^{3} - 3 a^{2} b + 5 a b^{2} - a b$

Discussion

2.	Whats the graph of a linear equation in 2 variables?
Answer» Whats the graph of a linear equation in 2 variables?

Discussion

3.	Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm then the length of AD is (a) 3 cm (b) 4 cm (c) 6 cm (d) 7 cm
Answer» Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm then the length of AD is (a) 3 cm (b) 4 cm (c) 6 cm (d) 7 cm

3.

Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm then the length of AD is (a) 3 cm (b) 4 cm (c) 6 cm (d) 7 cm

Answer»

Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm then the length of AD is

(a) 3 cm (b) 4 cm (c) 6 cm (d) 7 cm

Discussion

4.	Draw a line segment AB of length 7cm. Using ruler and compasses, find a point P on AB such that APAB=35.
Answer» Draw a line segment $A B$ of length $7 c m$ . Using ruler and compasses, find a point P on AB such that $\frac{A P}{A B} = \frac{3}{5} .$

Discussion

5.	Find the area of a trapezium whose parallel sides are 11 cm and 25 cm long, and the nonparallel sides are 15 cm and 13 cm long.
Answer» Find the area of a trapezium whose parallel sides are $11 c m$ and $25 c m$ long, and the nonparallel sides are $15 c m$ and $13 c m$ long.

Discussion

6.	Find the value of sin(−6600)tan(10500)sec(−4200)cos(2250)cosec(3150)cos(5100)
Answer» Find the value of $\frac{s i n (- 660^{0}) t a n (1050^{0}) s e c (- 420^{0})}{c o s (225^{0}) c o s e c (315^{0}) c o s (510^{0})}$

Discussion

7.	Prove that: (i) sin 70∘cos 20∘+cosec 20∘sec 70∘−2 cos 70∘ cosec 20∘=0 (ii) cos 80∘sin 10∘+cos 59∘ cosec 31∘=2 (iii) 2 sin 68∘cos 22∘−2 cot 15∘5 tan 75∘−3 tan 45∘ tan 20∘ tan 40∘ tan 50∘ tan 70∘5=1 (iv) sin 18∘cos 72∘+√3(tan 10∘ tan 30∘ tan 40∘ tan 50∘ tan 80∘)=2 (v) 7 cos 55∘3 sin 35∘−4(cos 70∘ cosec 20∘)3(tan 5∘ tan 25∘ tan 45∘ tan 65∘ tan 85∘)=1
Answer» Prove that: (i) $\frac{s i n 70^{\circ}}{c o s 20^{\circ}} + \frac{c o s e c 20^{\circ}}{s e c 70^{\circ}} - 2 c o s 70^{\circ} c o s e c 20^{\circ} = 0$ (ii) $\frac{c o s 80^{\circ}}{s i n 10^{\circ}} + c o s 59^{\circ} c o s e c 31^{\circ} = 2$ (iii) $\frac{2 s i n 68^{\circ}}{c o s 22^{\circ}} - \frac{2 c o t 15^{\circ}}{5 t a n 75^{\circ}} - \frac{3 t a n 45^{\circ} t a n 20^{\circ} t a n 40^{\circ} t a n 50^{\circ} t a n 70^{\circ}}{5} = 1$ (iv) $\frac{s i n 18^{\circ}}{c o s 72^{\circ}} + \sqrt{3} (t a n 10^{\circ} t a n 30^{\circ} t a n 40^{\circ} t a n 50^{\circ} t a n 80^{\circ}) = 2$ (v) $\frac{7 c o s 55^{\circ}}{3 s i n 35^{\circ}} - \frac{4 (c o s 70^{\circ} c o s e c 20^{\circ})}{3 (t a n 5^{\circ} t a n 25^{\circ} t a n 45^{\circ} t a n 65^{\circ} t a n 85^{\circ})} = 1$

7.

Prove that: (i) sin 70∘cos 20∘+cosec 20∘sec 70∘−2 cos 70∘ cosec 20∘=0 (ii) cos 80∘sin 10∘+cos 59∘ cosec 31∘=2 (iii) 2 sin 68∘cos 22∘−2 cot 15∘5 tan 75∘−3 tan 45∘ tan 20∘ tan 40∘ tan 50∘ tan 70∘5=1 (iv) sin 18∘cos 72∘+√3(tan 10∘ tan 30∘ tan 40∘ tan 50∘ tan 80∘)=2 (v) 7 cos 55∘3 sin 35∘−4(cos 70∘ cosec 20∘)3(tan 5∘ tan 25∘ tan 45∘ tan 65∘ tan 85∘)=1

Answer»

Prove that:

(i) $\frac{s i n 70^{\circ}}{c o s 20^{\circ}} + \frac{c o s e c 20^{\circ}}{s e c 70^{\circ}} - 2 c o s 70^{\circ} c o s e c 20^{\circ} = 0$

(ii) $\frac{c o s 80^{\circ}}{s i n 10^{\circ}} + c o s 59^{\circ} c o s e c 31^{\circ} = 2$

(iii) $\frac{2 s i n 68^{\circ}}{c o s 22^{\circ}} - \frac{2 c o t 15^{\circ}}{5 t a n 75^{\circ}} - \frac{3 t a n 45^{\circ} t a n 20^{\circ} t a n 40^{\circ} t a n 50^{\circ} t a n 70^{\circ}}{5} = 1$

(iv) $\frac{s i n 18^{\circ}}{c o s 72^{\circ}} + \sqrt{3} (t a n 10^{\circ} t a n 30^{\circ} t a n 40^{\circ} t a n 50^{\circ} t a n 80^{\circ}) = 2$

(v) $\frac{7 c o s 55^{\circ}}{3 s i n 35^{\circ}} - \frac{4 (c o s 70^{\circ} c o s e c 20^{\circ})}{3 (t a n 5^{\circ} t a n 25^{\circ} t a n 45^{\circ} t a n 65^{\circ} t a n 85^{\circ})} = 1$

Discussion

8.	If Zeba were younger by 5 years than she really is, then the square of her age (in years) would have been 11 more than 5 times her actual age. What is her age now?
Answer» If Zeba were younger by $5$ years than she really is, then the square of her age (in years) would have been $11$ more than $5$ times her actual age. What is her age now?

Discussion

9.	A spherical cannon ball 28 cm in diameter is melted and recast into a right circular conical mould, base of which is 35 cm in diameter. Find the height of the cone.
Answer» A spherical cannon ball 28 cm in diameter is melted and recast into a right circular conical mould, base of which is 35 cm in diameter. Find the height of the cone.

Discussion

10.	2 men and 5 boys can finish a piece of work in 4 days,while 3 men and 6 boys can finish it in 3 days.Find the time taken by one man alone to finish the work and that taken by one boy alone to finish the work.
Answer» 2 men and 5 boys can finish a piece of work in 4 days,while 3 men and 6 boys can finish it in 3 days.Find the time taken by one man alone to finish the work and that taken by one boy alone to finish the work.

Discussion

11.	Solve each of the following quadratic equations: 3(7x+15x−3)−4(5x−37x+1)=11,x≠35,−17
Answer» Solve each of the following quadratic equations: $3 (\frac{7 x + 1}{5 x - 3}) - 4 (\frac{5 x - 3}{7 x + 1}) = 11, x \neq \frac{3}{5}, \frac{- 1}{7}$

Discussion

12.	Divide 24 in three parts such that they are in AP and their product is 440.
Answer» Divide 24 in three parts such that they are in AP and their product is 440.

Discussion

13.	Points A and B are 70 km apart on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours. But, if they travel towards each other, they meet in 1 hour. Find the speed of each car.
Answer» Points A and B are 70 km apart on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours. But, if they travel towards each other, they meet in 1 hour. Find the speed of each car.

Discussion

14.	Construct two similar triangles with the ratio of corresponding sides as 3:7. Verify the construction by measurement.
Answer» Construct two similar triangles with the ratio of corresponding sides as 3:7. Verify the construction by measurement.

Discussion

15.	Question 2 (iii) ABCD is a quadrilateral in which AD = BC and∠DAB=∠CBA (See the given figure). Prove that ∠ABD=∠BAC.
Answer» Question 2 (iii) ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that $∠ A B D = ∠ B A C .$

Discussion

16.	A copper rod of diameter 1 cm and length 8 cm is draw into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
Answer» A copper rod of diameter 1 cm and length 8 cm is draw into a wire of length 18 m of uniform thickness. Find the thickness of the wire.

Discussion

17.	Line AB \|\| CD and transversal XY meets AB at M and CD at N. If ∠AMX=x and ∠CNX=2x−60, then x= .
Answer» Line AB \|\| CD and transversal XY meets AB at M and CD at N. If $∠ A M X = x and ∠ C N X = 2 x - 60$ , then $x =$ .

Discussion

18.	P and Q have co-ordinates (0, 5) and (-2, 4). (a) P is invariant when reflected in an axis. Name the axis. (b) Find the image of Q on reflection in the axis found in (a) (c) (0, k) on reflection in the origin is invariant. Write the value of k. (d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.
Answer» P and Q have co-ordinates (0, 5) and (-2, 4). (a) P is invariant when reflected in an axis. Name the axis. (b) Find the image of Q on reflection in the axis found in (a) (c) (0, k) on reflection in the origin is invariant. Write the value of k. (d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.

18.

P and Q have co-ordinates (0, 5) and (-2, 4). (a) P is invariant when reflected in an axis. Name the axis. (b) Find the image of Q on reflection in the axis found in (a) (c) (0, k) on reflection in the origin is invariant. Write the value of k. (d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.

Answer»

P and Q have co-ordinates (0, 5) and (-2, 4).

(a) P is invariant when reflected in an axis. Name the axis.

(b) Find the image of Q on reflection in the axis found in (a)

(c) (0, k) on reflection in the origin is invariant. Write the value of k.

(d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.

Discussion

19.	The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.
Answer» The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.

Discussion

20.	(i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division. (ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (−5,−215)?
Answer» (i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division. (ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point $(- 5, \frac{- 21}{5}) ?$

20.

(i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division. (ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (−5,−215)?

Answer»

(i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division.

(ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point $(- 5, \frac{- 21}{5}) ?$

Discussion

21.	For a symmetrical frequency distribution ,we have (a) mean<mode<median (b) mean>mode>median (c) mean = mode = median (d) mode=12(mode+median)
Answer» For a symmetrical frequency distribution ,we have (a) mean<mode<median (b) mean>mode>median (c) mean = mode = median (d) mode= $\frac{1}{2} (m o d e + m e d i a n)$

21.

For a symmetrical frequency distribution ,we have (a) mean<mode<median (b) mean>mode>median (c) mean = mode = median (d) mode=12(mode+median)

Answer»

For a symmetrical frequency distribution ,we have

(a) mean<mode<median (b) mean>mode>median

(c) mean = mode = median (d) mode= $\frac{1}{2} (m o d e + m e d i a n)$

Discussion

22.	Factorise : (i) 12x2 −7x+1 (ii) 2x2 +7x+3
Answer» Factorise : (i) 12 $x^{2}$ −7x+1 (ii) 2 $x^{2}$ +7x+3

Discussion

23.	Question 95 (iv) Look at the map given below and answer the following question. If Ritika stays adjacent to the bank and you have to send her a card. What address will you write?
Answer» Question 95 (iv) Look at the map given below and answer the following question. If Ritika stays adjacent to the bank and you have to send her a card. What address will you write?

Discussion

24.	Solve the following systems of equations: 3x−1y=−9 2x+3y=5
Answer» Solve the following systems of equations: $\frac{3}{x} - \frac{1}{y} = - 9$ $\frac{2}{x} + \frac{3}{y} = 5$

24.

Solve the following systems of equations: 3x−1y=−9 2x+3y=5

Answer»

Solve the following systems of equations:

$\frac{3}{x} - \frac{1}{y} = - 9$

$\frac{2}{x} + \frac{3}{y} = 5$

Discussion

25.	In △ PQR, right angled at Q, PQ = 12 cm and PR = 12√2 cm. Determine ∠QPR and ∠ PRQ.
Answer» In $△$ PQR, right angled at Q, PQ = 12 cm and PR = 12 $\sqrt{2}$ cm. Determine $∠$ QPR and $∠$ PRQ.

Discussion

26.	Prove the following: (i) sin θ sin(90o−θ)−cos θ cos (90o−θ)=0 (ii) cos(90o−θ)sec(90o−θ)tan θcosec(90o)sin(90o−θ)cot(90o−θ)+tan (90o−θ)cot θ=2 (iii) tan (90o−A)cot Acosec2 A−cos2 A=0 (iv) cos(90o−A)sin(90o−A)tan(90o − A)=sin2 A (v) sin(50o+θ)−cos(40o−θ)+tan1o tan 10o tan 20o tan 70o tan 80o tan 89o=1
Answer» Prove the following: (i) $s i n θ s i n (90^{o} - θ) - c o s θ c o s (90^{o} - θ) = 0$ (ii) $\frac{c o s (90^{o} - θ) s e c (90^{o} - θ) t a n θ}{c o s e c (90^{o}) s i n (90^{o} - θ) c o t (90^{o} - θ)} + \frac{t a n (90^{o} - θ)}{c o t θ} = 2$ (iii) $\frac{t a n (90^{o} - A) c o t A}{c o s e c^{2} A} - c o s^{2} A = 0$ (iv) $\frac{c o s (90^{o} - A) s i n (90^{o} - A)}{t a n (90^{o} - A)} = s i n^{2} A$ (v) $s i n (50^{o} + θ) - c o s (40^{o} - θ) + t a n 1^{o} t a n 10^{o} t a n 20^{o} t a n 70^{o} t a n 80^{o} t a n 89^{o} = 1$

26.

Prove the following: (i) sin θ sin(90o−θ)−cos θ cos (90o−θ)=0 (ii) cos(90o−θ)sec(90o−θ)tan θcosec(90o)sin(90o−θ)cot(90o−θ)+tan (90o−θ)cot θ=2 (iii) tan (90o−A)cot Acosec2 A−cos2 A=0 (iv) cos(90o−A)sin(90o−A)tan(90o − A)=sin2 A (v) sin(50o+θ)−cos(40o−θ)+tan1o tan 10o tan 20o tan 70o tan 80o tan 89o=1

Answer»

Prove the following:

(i) $s i n θ s i n (90^{o} - θ) - c o s θ c o s (90^{o} - θ) = 0$
(ii) $\frac{c o s (90^{o} - θ) s e c (90^{o} - θ) t a n θ}{c o s e c (90^{o}) s i n (90^{o} - θ) c o t (90^{o} - θ)} + \frac{t a n (90^{o} - θ)}{c o t θ} = 2$
(iii) $\frac{t a n (90^{o} - A) c o t A}{c o s e c^{2} A} - c o s^{2} A = 0$
(iv) $\frac{c o s (90^{o} - A) s i n (90^{o} - A)}{t a n (90^{o} - A)} = s i n^{2} A$
(v) $s i n (50^{o} + θ) - c o s (40^{o} - θ) + t a n 1^{o} t a n 10^{o} t a n 20^{o} t a n 70^{o} t a n 80^{o} t a n 89^{o} = 1$

Discussion

27.	If AD, BE and CF are the medians of an equilateral triangle ABC, then which of the following statements is valid?
Answer» If AD, BE and CF are the medians of an equilateral triangle ABC, then which of the following statements is valid?

27.

If AD, BE and CF are the medians of an equilateral triangle ABC, then which of the following statements is valid?

Answer»

If AD, BE and CF are the medians of an equilateral triangle ABC, then which of the following statements is valid?

Discussion

28.	A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find : (i) the production in the first year. (ii) the production in the 10th year. (iii) the total production in 7 years.
Answer» A manufacturer of TV sets produces 600 units in the third year and 700 units in the $7^{t h}$ year. Assuming that the production increases uniformly by a fixed number every year, find : (i) the production in the first year. (ii) the production in the $10^{t h}$ year. (iii) the total production in 7 years.

28.

A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find : (i) the production in the first year. (ii) the production in the 10th year. (iii) the total production in 7 years.

Answer»

A manufacturer of TV sets produces 600 units in the third year and 700 units in the $7^{t h}$ year. Assuming that the production increases uniformly by a fixed number every year, find :

(i) the production in the first year.

(ii) the production in the $10^{t h}$ year.

(iii) the total production in 7 years.

Discussion

29.	Match the two columns EquationsSolutions(A) 2x+y=7(p) (0,9)(B) x−2y=4(q) (1,5)(C) x−4y=0(r) (0,0)(D) px+y=9(s) (4,0)
Answer» Match the two columns $\begin{matrix} Equations & Solutions (A) 2 x + y = 7 & (p) (0, 9) (B) x - 2 y = 4 & (q) (1, 5) (C) x - 4 y = 0 & (r) (0, 0) (D) p x + y = 9 & (s) (4, 0) \end{matrix}$

Discussion

30.	A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression (in degrees) when he is looking at the apple? 60
Answer» A 6 feet tall man sees an apple on the ground, $6 \sqrt{3}$ feet away from him. What is the angle of depression (in degrees) when he is looking at the apple? 60

Discussion

31.	Let the vectors →a,→b,→c and →d be such that (→a×→b)×(→c×→d)=0. Let P1 and P2 be planes determined by pair of vectors →a,→b and →c,→d respectively. Then the angle between P1 and P2 is
Answer» Let the vectors $\to a, \to b, \to c$ and $\to d$ be such that $(\to a \times \to b) \times (\to c \times \to d) = 0$ . Let $P_{1}$ and $P_{2}$ be planes determined by pair of vectors $\to a, \to b$ and $\to c, \to d$ respectively. Then the angle between $P_{1}$ and $P_{2}$ is

Discussion

32.	Calculate the mean of the following data by all three methods, and compare the results. Class IntervalFrequency110−1108110−1209120−13011130−14012140−15010 [4 MARKS]
Answer» Calculate the mean of the following data by all three methods, and compare the results. $\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y 110 - 110 & 8 110 - 120 & 9 120 - 130 & 11 130 - 140 & 12 140 - 150 & 10 \end{matrix}$ [4 MARKS]

Discussion

33.	Find the mean deviation about the mean for the following data. Classinterval0−1010−2020−3030−4040−5050−6060−70Frequency812108327
Answer» Find the mean deviation about the mean for the following data. $\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 F r e q u e n c y & 8 & 12 & 10 & 8 & 3 & 2 & 7 \end{matrix}$

Discussion

34.	Question 32 Fill in the blanks to make the statement true. If 4 km on a map is represented by 1 cm, then 16 km is represented by ___ cm.
Answer» Question 32 Fill in the blanks to make the statement true. If 4 km on a map is represented by 1 cm, then 16 km is represented by ___ cm.

Discussion

35.	Question 1 (vii) Find the roots of the quadratic equations by using the quadratic formula in the following question. 12x2−√11x+1=0
Answer» Question 1 (vii) Find the roots of the quadratic equations by using the quadratic formula in the following question. $\frac{1}{2} x^{2} - \sqrt{11} x + 1 = 0$

35.

Question 1 (vii) Find the roots of the quadratic equations by using the quadratic formula in the following question. 12x2−√11x+1=0

Answer»

Question 1 (vii)

Find the roots of the quadratic equations by using the quadratic formula in the following question.

$\frac{1}{2} x^{2} - \sqrt{11} x + 1 = 0$

Discussion

36.	Question 18 (iii) A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
Answer» Question 18 (iii) A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

Discussion

37.	Reframe x=-7 in standard form
Answer» Reframe x=-7 in standard form

Discussion

38.	Question 2 (i) Which of the following experiments have equally likely outcomes? Explain. "A driver attempts to start a car. The car starts or does not start."
Answer» Question 2 (i) Which of the following experiments have equally likely outcomes? Explain. "A driver attempts to start a car. The car starts or does not start."

Discussion

39.	The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.
Answer» The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{B X}{A B}$ .

39.

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.

Answer»

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{B X}{A B}$ .

Discussion

40.	Question 1 Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.
Answer» Question 1 Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.

Discussion

41.	Mention the proper order of identifying a point D on BC such that BDDC=23. 1) Join B5C and draw a line parallel to B5C from B2. 2) Identify the ratio in which the point D divides BC using the relation given. 3) Mark 5 points B1, B2, B3, B4 and B5 on BX such that they are equidistant. 4) Construct a ray BX which makes an acute angle with line segment BC. 5) The point of intersection of the parallel line from B2 with BC is the point D.
Answer» Mention the proper order of identifying a point D on BC such that $\frac{B D}{D C} = \frac{2}{3}$ . 1) Join $B_{5} C$ and draw a line parallel to $B_{5} C$ from $B_{2}$ . 2) Identify the ratio in which the point D divides BC using the relation given. 3) Mark 5 points B₁, B₂, B₃, B₄ and B₅ on BX such that they are equidistant. 4) Construct a ray BX which makes an acute angle with line segment BC. 5) The point of intersection of the parallel line from B₂ with BC is the point D.

Discussion

42.	Question 110 (ii) A store is having a 25% discount sale. Sheela has a Rs.50 gift voucher and wants to use it to buy a board game marked for Rs.320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. Method 1 Subtract Rs.50 from the price and take 25% off the resulting price. Method 2 Take 25% off the original price and then subtract Rs.50. For each method, calculate the amount Sheela would have to pay. Show your work.
Answer» Question 110 (ii) A store is having a 25% discount sale. Sheela has a Rs.50 gift voucher and wants to use it to buy a board game marked for Rs.320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. Method 1 Subtract Rs.50 from the price and take 25% off the resulting price. Method 2 Take 25% off the original price and then subtract Rs.50. For each method, calculate the amount Sheela would have to pay. Show your work.

42.

Question 110 (ii) A store is having a 25% discount sale. Sheela has a Rs.50 gift voucher and wants to use it to buy a board game marked for Rs.320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. Method 1 Subtract Rs.50 from the price and take 25% off the resulting price. Method 2 Take 25% off the original price and then subtract Rs.50. For each method, calculate the amount Sheela would have to pay. Show your work.

Answer»

Question 110 (ii)

A store is having a 25% discount sale. Sheela has a Rs.50 gift voucher and wants to use it to buy a board game marked for Rs.320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. Method 1 Subtract Rs.50 from the price and take 25% off the resulting price. Method 2 Take 25% off the original price and then subtract Rs.50.
For each method, calculate the amount Sheela would have to pay. Show your work.

Discussion

43.	Form a quadratic equation whose roots are -2,-3.
Answer» Form a quadratic equation whose roots are -2,-3.

Discussion

44.	Verify whether these lines pass through the point (4,3) 2x - 3y = -1 y = 3x + 2 3x + 4y = 24 [4 MARKS]
Answer» Verify whether these lines pass through the point (4,3) 2x - 3y = -1 y = 3x + 2 3x + 4y = 24 [4 MARKS]

Discussion

45.	28 is divided into two parts in such a way that 65 of one part is equal to 23 of the other. What would be the smaller part?
Answer» 28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. What would be the smaller part?

Discussion

46.	Which of the following is a measure of central tendency?
Answer» Which of the following is a measure of central tendency?

Discussion

47.	Sachin buys a rectangular plot at Koramangla Bangalore. The length and breadth of the plot are in the ratio 11:4. The perimeter of the plot is 60 m. What are the dimensions of the plot? [3 MARKS]
Answer» Sachin buys a rectangular plot at Koramangla Bangalore. The length and breadth of the plot are in the ratio 11:4. The perimeter of the plot is 60 m. What are the dimensions of the plot? [3 MARKS]

Discussion

48.	OACB is a quadrant of a circle with centre O and radius 7 cm. It OD = 4cm, then find area of shaded region. ___
Answer» OACB is a quadrant of a circle with centre O and radius 7 cm. It OD = 4cm, then find area of shaded region. ___

48.

OACB is a quadrant of a circle with centre O and radius 7 cm. It OD = 4cm, then find area of shaded region. ___

Answer»

OACB is a quadrant of a circle with centre O and radius 7 cm. It OD = 4cm, then find area of shaded region.

___

Discussion

49.	The angle at which the circles (x−1)2+y2= 10 and x2+(y−2)2=5 intersect is
Answer» The angle at which the circles $(x - 1)^{2} + y^{2} = 10 a n d x^{2} + (y - 2)^{2} = 5$ intersect is

Discussion

50.	Question 6 Which of the following figures satisfy the following properties? -All sides are congruent. -All angles are right angles. -Opposite sides are parallel.
Answer» Question 6 Which of the following figures satisfy the following properties? -All sides are congruent. -All angles are right angles. -Opposite sides are parallel.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 88 (viii) Factorise the following expression. 2a3−3a2b+5ab2−ab

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Let the vectors →a,→b,→c and →d be such that (→a×→b)×(→c×→d)=0. Let P1 and P2 be planes determined by pair of vectors →a,→b and →c,→d respectively. Then the angle between P1 and P2 is

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Question 1 (vii) Find the roots of the quadratic equations by using the quadratic formula in the following question. 12x2−√11x+1=0

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Reframe x=-7 in standard form

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Verify whether these lines pass through the point (4,3) 2x - 3y = -1 y = 3x + 2 3x + 4y = 24 [4 MARKS]

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Sachin buys a rectangular plot at Koramangla Bangalore. The length and breadth of the plot are in the ratio 11:4. The perimeter of the plot is 60 m. What are the dimensions of the plot? [3 MARKS]

OACB is a quadrant of a circle with centre O and radius 7 cm. It OD = 4cm, then find area of shaded region. ___

The angle at which the circles (x−1)2+y2= 10 and x2+(y−2)2=5 intersect is

Question 6 Which of the following figures satisfy the following properties? -All sides are congruent. -All angles are right angles. -Opposite sides are parallel.

For a symmetrical frequency distribution ,we have (a) mean<mode<median (b) mean>mode>median (c) mean = mode = median (d) mode=12(mode+median)