19743 + Interview Questions in Mathematics Page 150 InterviewSolution

7451.	Question 10 (b) What other name can give to the line of symmetry of: (b) A circle
Answer» Question 10 (b) What other name can give to the line of symmetry of: (b) A circle

Discussion

7452.	Which of the following options is commutative under multiplication?
Answer» Which of the following options is commutative under multiplication?

Discussion

7453.	A square paper has an area of 144 cm2. Find the dimension of each side.
Answer» A square paper has an area of $144 {cm}^{2} .$ Find the dimension of each side.

Discussion

7454.	What is the order of the rotational symmetry of the given figure about the point marked ‘x’?
Answer» What is the order of the rotational symmetry of the given figure about the point marked ‘x’?

Discussion

7455.	Solve the following.If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.
Answer» Solve the following. If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.

7455.

Solve the following.If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.

Answer»

Solve the following.

If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.

Discussion

7456.	In the adjoining figure, which of the following is the incentre of the triangle?
Answer» In the adjoining figure, which of the following is the incentre of the triangle?

Discussion

7457.	Calculate the total length of the given triangle in cm.
Answer» Calculate the total length of the given triangle in cm.

Discussion

7458.	The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m² ; find its base and height?
Answer» The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m² ; find its base and height?

Discussion

7459.	Find the unit digit of the number (168)^16?
Answer» Find the unit digit of the number (168)^16?

Discussion

7460.	Question 1(b)Determine if the following are in proportion:33, 121, 9, 96
Answer» Question 1(b) Determine if the following are in proportion: 33, 121, 9, 96

7460.

Question 1(b)Determine if the following are in proportion:33, 121, 9, 96

Answer»

Question 1(b)

Determine if the following are in proportion:

33, 121, 9, 96

Discussion

7461.	29.Construct an equilateral triangle each of whose sides measure 6.2cm.Measure each one of its angles
Answer» 29.Construct an equilateral triangle each of whose sides measure 6.2cm.Measure each one of its angles

Discussion

7462.	Question 1Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of radii 15 cm and 18 cm.
Answer» Question 1 Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of radii 15 cm and 18 cm.

Discussion

7463.	What should be taken away from 3x2 − 4y2 + 5xy + 20 to obtain− x2 − y2 + 6xy + 20?
Answer» What should be taken away from 3x² − 4y² + 5xy + 20 to obtain − x² − y²+ 6xy + 20?

7463.

What should be taken away from 3x2 − 4y2 + 5xy + 20 to obtain− x2 − y2 + 6xy + 20?

Answer»

What should be taken away from 3x² − 4y² + 5xy + 20 to obtain

− x² − y²+ 6xy + 20?

Discussion

7464.	Find each of the following products : (i) 35×−78 (ii) −92×54 (iii) −611×−53 (iv) −23×67 (v) −125×10−3 (vi) 25−9×3−10 (vii) 5−18×−920 (viii) −1315×−2526 (ix) 16−21×145 (x) −76×24 (xi) 724×(−48) (xii) −135×(−10)
Answer» Find each of the following products : (i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$ (iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$ (vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$ (x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

7464.

Find each of the following products : (i) 35×−78 (ii) −92×54 (iii) −611×−53 (iv) −23×67 (v) −125×10−3 (vi) 25−9×3−10 (vii) 5−18×−920 (viii) −1315×−2526 (ix) 16−21×145 (x) −76×24 (xi) 724×(−48) (xii) −135×(−10)

Answer»

Find each of the following products :

(i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$

(iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$

(vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$

(x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

Discussion

7465.	0.010.001+0.0010.01 equals ______.
Answer» $\frac{0.01}{0.001} + \frac{0.001}{0.01}$ equals ______.

Discussion

7466.	The simplest rationalisation factor of 5003 is(a) 5(b) 3(c) 53(d) 23
Answer» The simplest rationalisation factor of $\sqrt[3]{500}$ is (a) $\sqrt{5}$ (b) $\sqrt{3}$ (c) $\sqrt[3]{5}$ (d) $\sqrt[3]{2}$

Discussion

7467.	1.666666...... is a rational number and can be expressed in pq form.Then p+q is .
Answer» 1.666666...... is a rational number and can be expressed in $\frac{p}{q}$ form. Then $p + q$ is .

Discussion

7468.	p and q were picked out of the number line, where p was lying to the right of q. Then,
Answer» $p$ and $q$ were picked out of the number line, where $p$ was lying to the right of $q$ . Then,

Discussion

7469.	The square root of 556.96 is
Answer» The square root of 556.96 is

Discussion

7470.	Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.
Answer» Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

7470.

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

Answer»

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

Discussion

7471.	If a △QPR is right angled at P, then which is the longest side of the triangle?
Answer» If a $△$ QPR is right angled at P, then which is the longest side of the triangle?

Discussion

7472.	The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40What is the angle of sector in a pie chart representing tea?
Answer» The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. $\begin{matrix} B e v e r a g e & N u m b e r o f c u p s C o f f e e & 60 T e a & 75 H o t c h o c o l a t e & 25 M i l k & 40 \end{matrix}$ What is the angle of sector in a pie chart representing tea?

Discussion

7473.	Question 1(b): Write the fraction representing the shaded portion:
Answer» Question 1(b): Write the fraction representing the shaded portion:

7473.

Question 1(b): Write the fraction representing the shaded portion:

Answer»

Question 1(b):

Write the fraction representing the shaded portion:

Discussion

7474.	The coefficient of the term obtained after the division of 24xy2 by 8xy is:
Answer» The coefficient of the term obtained after the division of $24 x y^{2}$ by $8 x y$ is:

Discussion

7475.	In the given figure, BE is parallel to CF. Evaluate the value of x.
Answer» In the given figure, BE is parallel to CF. Evaluate the value of x.

7475.

In the given figure, BE is parallel to CF. Evaluate the value of x.

Answer»

In the given figure, BE is parallel to CF. Evaluate the value of x.

Discussion

7476.	Change each of following fractions to a decimal fraction: (i) 3103(ii) 7295105
Answer» Change each of following fractions to a decimal fraction: (i) $\frac{3}{10^{3}}$ (ii) $\frac{7295}{10^{5}}$

Discussion

7477.	Question 5 (iii)Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:252
Answer» Question 5 (iii) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 252

7477.

Question 5 (iii)Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:252

Answer»

Question 5 (iii)

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

252

Discussion

7478.	What is the complement of a 56-degree angle?
Answer» What is the complement of a 56-degree angle?

Discussion

7479.	A car running at a speed of 48 kmph on an average, covers a certain distance in 100 minutes. The speed at which the car must run to reduce the time of journey to 40 min will be:
Answer» A car running at a speed of 48 kmph on an average, covers a certain distance in 100 minutes. The speed at which the car must run to reduce the time of journey to 40 min will be:

Discussion

7480.	25. (1/x-2) - 1/x
Answer» 25. (1/x-2) - 1/x <= (2/x+2)

Discussion

7481.	Question 3(b) See the figure and find the ratio of: Number of squares to all the figures inside the rectangle.
Answer» Question 3(b) See the figure and find the ratio of: Number of squares to all the figures inside the rectangle.

7481.

Question 3(b) See the figure and find the ratio of: Number of squares to all the figures inside the rectangle.

Answer»

Question 3(b)

See the figure and find the ratio of:

Number of squares to all the figures inside the rectangle.

Discussion

7482.	Express each of the following as a decimal : (i) 6% (ii) 72% (iii) 125%
Answer» Express each of the following as a decimal : (i) $6 %$ (ii) $72 %$ (iii) $125 %$

Discussion

7483.	Queston 4(i)The following graph shows the temperature forecast and the actual temperature for each day of a week.On which days was the forecast temperature the same as the act temperature?
Answer» Queston 4(i) The following graph shows the temperature forecast and the actual temperature for each day of a week. On which days was the forecast temperature the same as the act temperature?

Discussion

7484.	Arrange the lengths in increasing order.1 m, 1 km, 1 mm, 1 cm
Answer» Arrange the lengths in increasing order. 1 m, 1 km, 1 mm, 1 cm

Discussion

7485.	A shopkeeper marks the price of cold cream at ₹160. Find the cost price if after allowing a discount of 10% he still makes a profit of 20%.
Answer» A shopkeeper marks the price of cold cream at ₹160. Find the cost price if after allowing a discount of 10% he still makes a profit of 20%.

Discussion

7486.	The denominator of a fraction is 1more than the two times of its numerator .If 4 is added to the numerator and 2 is added to the denominator then the new fraction is 6/7 the sum of numerator and the denominator of the orginal fraction is
Answer» The denominator of a fraction is 1more than the two times of its numerator .If 4 is added to the numerator and 2 is added to the denominator then the new fraction is 6/7 the sum of numerator and the denominator of the orginal fraction is

Discussion

7487.	What is bar graph ?
Answer» What is bar graph ?

Discussion

7488.	(a) Observe the given triangles and explain, why is ΔABC≅ΔFED? (b) In a ΔABC, ∠B = 50∘ and ∠C is 60∘. Find ∠A. [4 MARKS]
Answer» (a) Observe the given triangles and explain, why is $Δ A B C ≅ Δ F E D$ ? (b) In a $Δ$ ABC, $∠$ B = 50 $^{\circ}$ and $∠$ C is 60 $^{\circ}$ . Find $∠$ A. [4 MARKS]

Discussion

7489.	In Fig. 103, PO \|\| RS and ∠PAB = 60° and ∠ACS = 100°. Then, ∠BAC =(a) 40°(b) 60°(c) 80°(d) 50°
Answer» In Fig. 103, PO \|\| RS and ∠PAB = 60° and ∠ACS = 100°. Then, ∠BAC = (a) 40° (b) 60° (c) 80° (d) 50°

Discussion

7490.	Question 7The area of the circle that can be inscribed in a square of side 6 cm is(A) 36π cm2(B) 18π cm2(C) 12π cm2(D) 9π cm2
Answer» Question 7 The area of the circle that can be inscribed in a square of side 6 cm is (A) $36 π c m^{2}$ (B) $18 π c m^{2}$ (C) $12 π c m^{2}$ (D) $9 π c m^{2}$

Discussion

7491.

In the following table number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph. Town → Karjat Wadgoan Shivapur Khandala Year ↴ 2016 150 250 200 100 2017 200 300 250 150

Answer» In the following table number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph.

Town →	Karjat	Wadgoan	Shivapur	Khandala
Year ↴	Karjat	Wadgoan	Shivapur	Khandala
2016	150	250	200	100
2017	200	300	250	150

Discussion

7492.	5 less than − 2 is(a) 3 (b) − 3 (c) − 7 (d) 7
Answer» 5 less than − 2 is (a) 3 (b) − 3 (c) − 7 (d) 7

Discussion

7493.	In the figure given below, l and m are two parallel lines. Which of the following statement is true?
Answer» In the figure given below, l and m are two parallel lines. Which of the following statement is true?

7493.

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

Answer»

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

Discussion

7494.	If ∠A = 2x and ∠B = 4x such that ∠A and ∠B are supplementary, then the value of x is:
Answer» If ∠A = 2x and ∠B = 4x such that ∠A and ∠B are supplementary, then the value of x is:

Discussion

7495.	The marked price of an article is3500 and rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.
Answer» The marked price of an article is3500 and rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.

Discussion

7496.	Nikhila walks to her friend's home which is at a distance of 6km from her house .She walks and comes back in 3 hours.Calculate the average speed.
Answer» Nikhila walks to her friend's home which is at a distance of 6km from her house .She walks and comes back in 3 hours.Calculate the average speed.

Discussion

7497.	If a=3-22, find the value of a2-1a2.
Answer» If $a = 3 - 2 \sqrt{2}$ , find the value of $a^{2} - \frac{1}{a^{2}}$ .

Discussion

7498.	Perimeter of a triangle is 58 cm, and 2 of its sides are 18 cm and 20 cm , find the length of 3rd side of triangle ?
Answer» Perimeter of a triangle is 58 cm, and 2 of its sides are 18 cm and 20 cm , find the length of 3^rd side of triangle ?

Discussion

7499.	If P(A)=0.8,P(B)=0.5 and P(B/A)=0.4, then the value of P(A∪B) is:
Answer» If $P (A) = 0.8, P (B) = 0.5$ and $P (B / A) = 0.4$ , then the value of $P (A \cup B)$ is:

Discussion

7500.	The length of the minute hand of a clock is 14 cm. Find the area in cm2 swept by the minute hand in 30 minutes.
Answer» The length of the minute hand of a clock is 14 cm. Find the area in ${c m}^{2}$ swept by the minute hand in 30 minutes.

Discussion

Explore topic-wise InterviewSolutions in .

Question 10 (b) What other name can give to the line of symmetry of: (b) A circle

Which of the following options is commutative under multiplication?

A square paper has an area of 144 cm2. Find the dimension of each side.

What is the order of the rotational symmetry of the given figure about the point marked ‘x’?

Solve the following.If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.

In the adjoining figure, which of the following is the incentre of the triangle?

Calculate the total length of the given triangle in cm.

The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m² ; find its base and height?

Find the unit digit of the number (168)^16?

Question 1(b)Determine if the following are in proportion:33, 121, 9, 96

29.Construct an equilateral triangle each of whose sides measure 6.2cm.Measure each one of its angles

Question 1Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of radii 15 cm and 18 cm.

What should be taken away from 3x2 − 4y2 + 5xy + 20 to obtain− x2 − y2 + 6xy + 20?

Find each of the following products : (i) 35×−78 (ii) −92×54 (iii) −611×−53 (iv) −23×67 (v) −125×10−3 (vi) 25−9×3−10 (vii) 5−18×−920 (viii) −1315×−2526 (ix) 16−21×145 (x) −76×24 (xi) 724×(−48) (xii) −135×(−10)

0.010.001+0.0010.01 equals ______.

The simplest rationalisation factor of 5003 is(a) 5(b) 3(c) 53(d) 23

1.666666...... is a rational number and can be expressed in pq form.Then p+q is .

p and q were picked out of the number line, where p was lying to the right of q. Then,

The square root of 556.96 is

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

If a △QPR is right angled at P, then which is the longest side of the triangle?

The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40What is the angle of sector in a pie chart representing tea?

Question 1(b): Write the fraction representing the shaded portion:

The coefficient of the term obtained after the division of 24xy2 by 8xy is:

In the given figure, BE is parallel to CF. Evaluate the value of x.

Change each of following fractions to a decimal fraction: (i) 3103(ii) 7295105

Question 5 (iii)Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:252

What is the complement of a 56-degree angle?

A car running at a speed of 48 kmph on an average, covers a certain distance in 100 minutes. The speed at which the car must run to reduce the time of journey to 40 min will be:

25. (1/x-2) - 1/x

Question 3(b) See the figure and find the ratio of: Number of squares to all the figures inside the rectangle.

Express each of the following as a decimal : (i) 6% (ii) 72% (iii) 125%

Queston 4(i)The following graph shows the temperature forecast and the actual temperature for each day of a week.On which days was the forecast temperature the same as the act temperature?

Arrange the lengths in increasing order.1 m, 1 km, 1 mm, 1 cm

A shopkeeper marks the price of cold cream at ₹160. Find the cost price if after allowing a discount of 10% he still makes a profit of 20%.

The denominator of a fraction is 1more than the two times of its numerator .If 4 is added to the numerator and 2 is added to the denominator then the new fraction is 6/7 the sum of numerator and the denominator of the orginal fraction is

What is bar graph ?

(a) Observe the given triangles and explain, why is ΔABC≅ΔFED? (b) In a ΔABC, ∠B = 50∘ and ∠C is 60∘. Find ∠A. [4 MARKS]

In Fig. 103, PO || RS and ∠PAB = 60° and ∠ACS = 100°. Then, ∠BAC =(a) 40°(b) 60°(c) 80°(d) 50°

Question 7The area of the circle that can be inscribed in a square of side 6 cm is(A) 36π cm2(B) 18π cm2(C) 12π cm2(D) 9π cm2

In the following table number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph. Town → Karjat Wadgoan Shivapur Khandala Year ↴ 2016 150 250 200 100 2017 200 300 250 150

5 less than − 2 is(a) 3 (b) − 3 (c) − 7 (d) 7

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

If ∠A = 2x and ∠B = 4x such that ∠A and ∠B are supplementary, then the value of x is:

The marked price of an article is3500 and rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.

Nikhila walks to her friend's home which is at a distance of 6km from her house .She walks and comes back in 3 hours.Calculate the average speed.

If a=3-22, find the value of a2-1a2.

Perimeter of a triangle is 58 cm, and 2 of its sides are 18 cm and 20 cm , find the length of 3rd side of triangle ?

If P(A)=0.8,P(B)=0.5 and P(B/A)=0.4, then the value of P(A∪B) is:

The length of the minute hand of a clock is 14 cm. Find the area in cm2 swept by the minute hand in 30 minutes.