25365 + Interview Questions in Mathematics Page 3 InterviewSolution

101.	Tap on the shape which has the least number of corners.
Answer» Tap on the shape which has the least number of corners.

Discussion

102.	Using standard identity, solve: 1010×990 = .
Answer» Using standard identity, solve: 1010×990 = .

Discussion

103.	which of the following are cubes of even natural numbers? 216, 512, 729, 1000, 3375, 13824
Answer» which of the following are cubes of even natural numbers? 216, 512, 729, 1000, 3375, 13824

Discussion

104.	Factorise: ax+bx−ay−by
Answer» Factorise: $a x + b x - a y - b y$

Discussion

105.	Construct an equilateral triangle, given its side and justify the construction.
Answer» Construct an equilateral triangle, given its side and justify the construction.

Discussion

106.	What will be the area of the segment, if the arc subtends an angle of 90∘ at the centre of the circle of radius 6 cm?
Answer» What will be the area of the segment, if the arc subtends an angle of $90^{\circ}$ at the centre of the circle of radius $6 cm$ ?

Discussion

107.	Which one among the following is correct?
Answer» Which one among the following is correct?

Discussion

108.	Question 5All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
Answer» Question 5 All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Discussion

109.	Solve:
Answer» Solve:

Discussion

110.	20 trucks can hold 150 metric tonnes. How much will 12 trucks hold ?
Answer» 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold ?

Discussion

111.	40 The range of f(x) = cos [x], for-/2 < x < /2 is (a) 1,1,0) (b) (cos 1, cos 2,1) (c) (cos 1,- cos 1, 1) (d) I-1, 1]
Answer» 40 The range of f(x) = cos [x], for-/2 < x < /2 is (a) 1,1,0) (b) (cos 1, cos 2,1) (c) (cos 1,- cos 1, 1) (d) I-1, 1]

Discussion

112.	If the radii and heights of two cylinders are in the ratio 1:2 and 2:1 respectively, then the ratio of their volumes is:
Answer» If the radii and heights of two cylinders are in the ratio $1 : 2$ and $2 : 1$ respectively, then the ratio of their volumes is:

Discussion

113.	Construct a right angle triangle PQR in which ∠R = 90°, PQ = 4 cm and QR = 3 cm.
Answer» Construct a right angle triangle PQR in which ∠R = 90°, PQ = 4 cm and QR = 3 cm.

Discussion

114.	If the product of four consecutive natural numbers increased by a natural number p is a perfect square, then the value of p is
Answer» If the product of four consecutive natural numbers increased by a natural number p is a perfect square, then the value of p is

Discussion

115.	Two adjacent angles of a parallelogram are (3x−4)∘ and (3x+10)∘. Find the angles of the parallelogram.
Answer» Two adjacent angles of a parallelogram are $(3 x - 4)^{\circ}$ and $(3 x + 10)^{\circ}$ . Find the angles of the parallelogram.

Discussion

116.	A shopkeeper allows a discount of 20% on the Marked price of an article at sells at rupees 896. 1) calculate the Marked price of an article. 2) by selling an article at a discounted price if he still gets 12% of his cost what was the cost price. 3) what would have been his profit percentage if you had sold the article at the marked price.
Answer» A shopkeeper allows a discount of 20% on the Marked price of an article at sells at rupees 896. 1) calculate the Marked price of an article. 2) by selling an article at a discounted price if he still gets 12% of his cost what was the cost price. 3) what would have been his profit percentage if you had sold the article at the marked price.

Discussion

117.	(a2 + b2) × (−a2 + b2) =
Answer» ( $a^{2}$ + $b^{2}$ ) $\times$ ( ${- a}^{2}$ + $b^{2}$ ) =

Discussion

118.	If a and b are unequal and X^2+ ax + b and x^2+ bx + a have a common factor then the value of a + b is
Answer» If a and b are unequal and X^2+ ax + b and x^2+ bx + a have a common factor then the value of a + b is

Discussion

119.	Use the information given in the following figure to find : (i) x (ii) ∠B and ∠C
Answer» Use the information given in the following figure to find : (i) x (ii) $∠ B a n d ∠ C$

119.

Use the information given in the following figure to find : (i) x (ii) ∠B and ∠C

Answer»

Use the information given in the following figure to find :

(i) x

(ii) $∠ B a n d ∠ C$

Discussion

120.	Express 32000 as a product of powers of prime factors.
Answer» Express 32000 as a product of powers of prime factors.

Discussion

121.	A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume of the cylinder so formed is _____.
Answer» A rectangular piece of paper of dimensions $22 c m$ by $12 c m$ is rolled along its length to form a cylinder. The volume of the cylinder so formed is _____.

Discussion

122.	If x=(−25)30÷(−25)28 and y=(−25)2×(−25)3, find the value of (x3÷y)2.
Answer» If $x = {(\frac{- 2}{5})}^{30} \div {(\frac{- 2}{5})}^{28}$ and $y = {(\frac{- 2}{5})}^{2} \times {(\frac{- 2}{5})}^{3}$ , find the value of $(x^{3} \div y)^{2}$ .

Discussion

123.	Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are:
Answer» Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are:

Discussion

124.	A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold? (a) 30000 (b) 15000 (c) 25000 (d) 35000
Answer» A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold? (a) 30000 (b) 15000 (c) 25000 (d) 35000

124.

A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold? (a) 30000 (b) 15000 (c) 25000 (d) 35000

Answer»

A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold?

(a) 30000

(b) 15000

(c) 25000

(d) 35000

Discussion

125.	Question 8Parveen wanted to make a temporary shelter for her car, by making a box-like structure with a tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how many tarpaulins would be required to make the shelter of height 2.5m, with base dimensions 4m×3m?
Answer» Question 8 Parveen wanted to make a temporary shelter for her car, by making a box-like structure with a tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how many tarpaulins would be required to make the shelter of height 2.5m, with base dimensions $4 m \times 3 m$ ?

Discussion

126.	To represent a rational number 35 on a number line, you need to divide 1 unit on a number line into equal parts.
Answer» To represent a rational number $\frac{3}{5}$ on a number line, you need to divide $1$ unit on a number line into equal parts.

Discussion

127.	Question 87(v)Classify the following statements under appropriate headings.Sun rising from the West. ?Certain to happenImpossible to happenMay or may not happen
Answer» Question 87(v) Classify the following statements under appropriate headings. Sun rising from the West. ? $\begin{matrix} Certain to happen & Impossible to happen & May or may not happen \end{matrix}$

127.

Question 87(v)Classify the following statements under appropriate headings.Sun rising from the West. ?Certain to happenImpossible to happenMay or may not happen

Answer»

Question 87(v)

Classify the following statements under appropriate headings.

Sun rising from the West. ?

$\begin{matrix} Certain to happen & Impossible to happen & May or may not happen \end{matrix}$

Discussion

128.	Question 82(vi) Given below is a frequency distribution table. Read it and answer the questions that follow. Class intervalFrequency10−20520−301030−40440−501550−6012 What is the class size ?
Answer» Question 82(vi) Given below is a frequency distribution table. Read it and answer the questions that follow. $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$ What is the class size ?

128.

Question 82(vi) Given below is a frequency distribution table. Read it and answer the questions that follow. Class intervalFrequency10−20520−301030−40440−501550−6012 What is the class size ?

Answer»

Question 82(vi)

Given below is a frequency distribution table. Read it and answer the questions that follow.
$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$
What is the class size ?

Discussion

129.	Surface area of a cubical box of side length 2 m without top is given by:
Answer» Surface area of a cubical box of side length 2 m without top is given by:

129.

Surface area of a cubical box of side length 2 m without top is given by:

Answer»

Surface area of a cubical box of side length 2 m without top is given by:

Discussion

130.	In a certain language, PRACTICE is coded as PICCTRAE. How is FLAMES coded in that code?
Answer» In a certain language, $P R A C T I C E$ is coded as $P I C C T R A E .$ How is $F L A M E S$ coded in that code?

Discussion

131.	In a parallel universe, the force of attraction between two planets of mass 1024kg and 1022kg is 2 ×1020N. If the planets are separated by a distance of 5×106m, what is the value of the Gravitational constant in that universe ?
Answer» In a parallel universe, the force of attraction between two planets of mass $10^{24}$ kg and $10^{22}$ kg is $2 \times 10^{20}$ N. If the planets are separated by a distance of $5 \times 10^{6}$ m, what is the value of the Gravitational constant in that universe ?

Discussion

132.	By using the formula, find the amount and compound interest on: A scooter is bout at Rs 56000. Its value depreciates at the rate of 10% per annum. What will be its value after 3 years ?
Answer» By using the formula, find the amount and compound interest on: A scooter is bout at Rs 56000. Its value depreciates at the rate of $10 %$ per annum. What will be its value after 3 years ?

132.

By using the formula, find the amount and compound interest on: A scooter is bout at Rs 56000. Its value depreciates at the rate of 10% per annum. What will be its value after 3 years ?

Answer»

By using the formula, find the amount and compound interest on:

A scooter is bout at Rs 56000. Its value depreciates at the rate of $10 %$ per annum. What will be its value after 3 years ?

Discussion

133.	Locate √19 on the number line
Answer» Locate √19 on the number line

Discussion

134.	Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.
Answer» Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.

Discussion

135.	3 letters are to be placed in 3 addressed envelopes. If the letters are placed randomly, then the probablity that all letters are in right envelopes, is
Answer» $3$ letters are to be placed in $3$ addressed envelopes. If the letters are placed randomly, then the probablity that all letters are in right envelopes, is

Discussion

136.	If the equation ax2 + (2 – b) xy + 3y2 – 6bx + 30y + 6b = 0 represents a circle, then a = __________, b = __________.
Answer» If the equation ax² + (2 – b) xy + 3y² – 6bx + 30y + 6b = 0 represents a circle, then a = __________, b = __________.

Discussion

137.	In what time will the simple intrest on a certain sum be 0.24 times the principle at 12% per annum?
Answer» In what time will the simple intrest on a certain sum be 0.24 times the principle at 12% per annum?

Discussion

138.	Question 86(iii)Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.Which graph is linear?
Answer» Question 86(iii) Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below. Which graph is linear?

Discussion

139.	Question 4(v)Divide as directedx(x+1)(x+2)(x+3)÷x(x+1)
Answer» Question 4(v) Divide as directed $x (x + 1) (x + 2) (x + 3) \div x (x + 1)$

Discussion

140.	Find the incorrect statement:- (1) The angular wave function for p_{x }orbital becomes zero at all points on the yz plane, (2) )Radial function for 2s orbital rapidly decreases as compared to 1s orbital with increase in distance (r), (3) A node is a surface where wave function becomes zero,(4) Radial probability and radial distribution functions are different from each other.
Answer» Find the incorrect statement:- (1) The angular wave function for p_{x }orbital becomes zero at all points on the yz plane, (2) )Radial function for 2s orbital rapidly decreases as compared to 1s orbital with increase in distance (r), (3) A node is a surface where wave function becomes zero,(4) Radial probability and radial distribution functions are different from each other.

Discussion

141.	Find 21×23, using a suitable algebraic identity. 483
Answer» Find $21 \times 23$ , using a suitable algebraic identity. 483

Discussion

142.	Find out the multiplication of 0.2 and 0.3 in pq form
Answer» Find out the multiplication of 0.2 and 0.3 in $\frac{p}{q}$ form

Discussion

143.	47. ThIn triangle ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE is parallel to BC: (i) AB=10.8cm, BD=4.5cm, AC=4.8cm and AE=2.8cm (ii) AB=1.28cm, AC=2.56cm, AD=0.16cm, AE=0.32cm
Answer» 47. ThIn triangle ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE is parallel to BC: (i) AB=10.8cm, BD=4.5cm, AC=4.8cm and AE=2.8cm (ii) AB=1.28cm, AC=2.56cm, AD=0.16cm, AE=0.32cm

Discussion

144.	What is the volume of a cuboidal box of length 8xy units, breadth 3xy units and height xy units?
Answer» What is the volume of a cuboidal box of length $8 x y$ units, breadth $3 x y$ units and height $x y$ units?

Discussion

145.	The two digit number whose ten's digit is t and unit digit is u is ___ .
Answer» The two digit number whose ten's digit is t and unit digit is u is ___ .

Discussion

146.	The base of a parallelogram is twice of its height. If its area is 512 cm2, then the length of base is(a) 16 cm (b) 32 cm (c) 48 cm (d) 64 cm
Answer» The base of a parallelogram is twice of its height. If its area is 512 cm², then the length of base is (a) 16 cm (b) 32 cm (c) 48 cm (d) 64 cm

Discussion

147.	Let and be two straight lines intersecting at O. Let be the bisector of ∠BOD. Draw between such that.Prove that bisects ∠DOA.
Answer» Let and be two straight lines intersecting at O. Let be the bisector of ∠BOD. Draw between such that. Prove that bisects ∠DOA.

147.

Let and be two straight lines intersecting at O. Let be the bisector of ∠BOD. Draw between such that.Prove that bisects ∠DOA.

Answer»

Let and be two straight lines intersecting at O. Let be the bisector of ∠BOD. Draw between such that.

Prove that bisects ∠DOA.

Discussion

148.	The magnitude of interior angle(in radians) of a regular pentagon is, while that of a regular octagon is
Answer» The magnitude of interior angle(in radians) of a regular pentagon is, while that of a regular octagon is

Discussion

149.	Question 83 (xi)Multiply the following:a,a5,a6
Answer» Question 83 (xi) Multiply the following: $a, a^{5}, a^{6}$

Discussion

150.	Convert the ratio 3:4 to a percentage.
Answer» Convert the ratio 3:4 to a percentage.

Discussion

Explore topic-wise InterviewSolutions in .

Tap on the shape which has the least number of corners.

Using standard identity, solve: 1010×990 = .

which of the following are cubes of even natural numbers? 216, 512, 729, 1000, 3375, 13824

Factorise: ax+bx−ay−by

Construct an equilateral triangle, given its side and justify the construction.

What will be the area of the segment, if the arc subtends an angle of 90∘ at the centre of the circle of radius 6 cm?

Which one among the following is correct?

Question 5All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Solve:

20 trucks can hold 150 metric tonnes. How much will 12 trucks hold ?

40 The range of f(x) = cos [x], for-/2 < x < /2 is (a) 1,1,0) (b) (cos 1, cos 2,1) (c) (cos 1,- cos 1, 1) (d) I-1, 1]

If the radii and heights of two cylinders are in the ratio 1:2 and 2:1 respectively, then the ratio of their volumes is:

Construct a right angle triangle PQR in which ∠R = 90°, PQ = 4 cm and QR = 3 cm.

If the product of four consecutive natural numbers increased by a natural number p is a perfect square, then the value of p is

Two adjacent angles of a parallelogram are (3x−4)∘ and (3x+10)∘. Find the angles of the parallelogram.

(a2 + b2) × (−a2 + b2) =

If a and b are unequal and X^2+ ax + b and x^2+ bx + a have a common factor then the value of a + b is

Use the information given in the following figure to find : (i) x (ii) ∠B and ∠C

Express 32000 as a product of powers of prime factors.

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume of the cylinder so formed is _____.

If x=(−25)30÷(−25)28 and y=(−25)2×(−25)3, find the value of (x3÷y)2.

Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are:

A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold? (a) 30000 (b) 15000 (c) 25000 (d) 35000

To represent a rational number 35 on a number line, you need to divide 1 unit on a number line into equal parts.

Question 87(v)Classify the following statements under appropriate headings.Sun rising from the West. ?Certain to happenImpossible to happenMay or may not happen

Question 82(vi) Given below is a frequency distribution table. Read it and answer the questions that follow. Class intervalFrequency10−20520−301030−40440−501550−6012 What is the class size ?

Surface area of a cubical box of side length 2 m without top is given by:

In a certain language, PRACTICE is coded as PICCTRAE. How is FLAMES coded in that code?

In a parallel universe, the force of attraction between two planets of mass 1024kg and 1022kg is 2 ×1020N. If the planets are separated by a distance of 5×106m, what is the value of the Gravitational constant in that universe ?

By using the formula, find the amount and compound interest on: A scooter is bout at Rs 56000. Its value depreciates at the rate of 10% per annum. What will be its value after 3 years ?

Locate √19 on the number line

Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.

3 letters are to be placed in 3 addressed envelopes. If the letters are placed randomly, then the probablity that all letters are in right envelopes, is

If the equation ax2 + (2 – b) xy + 3y2 – 6bx + 30y + 6b = 0 represents a circle, then a = __________, b = __________.

In what time will the simple intrest on a certain sum be 0.24 times the principle at 12% per annum?

Question 86(iii)Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.​Which graph is linear?

Question 4(v)Divide as directedx(x+1)(x+2)(x+3)÷x(x+1)

Find 21×23, using a suitable algebraic identity. 483

Find out the multiplication of 0.2 and 0.3 in pq form

47. ThIn triangle ABC, D and E are points on the sides AB and AC respectively. For each of the following cases show that DE is parallel to BC: (i) AB=10.8cm, BD=4.5cm, AC=4.8cm and AE=2.8cm (ii) AB=1.28cm, AC=2.56cm, AD=0.16cm, AE=0.32cm

What is the volume of a cuboidal box of length 8xy units, breadth 3xy units and height xy units?

The two digit number whose ten's digit is t and unit digit is u is ___ .

The base of a parallelogram is twice of its height. If its area is 512 cm2, then the length of base is(a) 16 cm (b) 32 cm (c) 48 cm (d) 64 cm

Let and be two straight lines intersecting at O. Let be the bisector of ∠BOD. Draw between such that.Prove that bisects ∠DOA.

The magnitude of interior angle(in radians) of a regular pentagon is, while that of a regular octagon is

Question 83 (xi)Multiply the following:a,a5,a6

Convert the ratio 3:4 to a percentage.

If the equation ax2 + (2 – b) xy + 3y2 – 6bx + 30y + 6b = 0 represents a circle, then a = , b = .

Question 86(iii)Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.Which graph is linear?