19743 + Interview Questions in Mathematics Page 27 InterviewSolution

1301.	In the given diagram, ∠XOB and ∠YO\|P are called ________.
Answer» In the given diagram, $∠$ XOB and $∠$ YO^\|P are called ________.

1301.

In the given diagram, ∠XOB and ∠YO|P are called ________.

Answer»

In the given diagram, $∠$ XOB and $∠$ YO^|P are called ________.

1302.	‘2’ multiplied ten times is expressed numerically as _____ .
Answer» ‘2’ multiplied ten times is expressed numerically as _____ .

Discussion

1303.	The diameter of a circular flower garden is 70 m. What is the cost of fencing it, at ₹20 per metre ?
Answer» The diameter of a circular flower garden is 70 m. What is the cost of fencing it, at ₹20 per metre ?

Discussion

1304.	Written:Construct a triangle PQR, in which PQ = QR = RP = 6 cm.
Answer» Written: Construct a triangle PQR, in which PQ = QR = RP = 6 cm.

1304.

Written:Construct a triangle PQR, in which PQ = QR = RP = 6 cm.

Answer»

Written:

Construct a triangle PQR, in which PQ = QR = RP = 6 cm.

Discussion

1305.	If the length breadth and height of a cuboid are tripled, by factor does it's volume change ?
Answer» If the length breadth and height of a cuboid are tripled, by factor does it's volume change ?

Discussion

1306.	Amina buysa book for Rs 275 and sells it at a loss of 15%. How much does shesell it for?
Answer» Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?

Discussion

1307.	Express 360 as product of its prime factors.
Answer» Express 360 as product of its prime factors.

Discussion

1308.	Q) f(x)=(x-1)/(x+1).find the range. y=(x-1)/(x+1)on applying componendo and dividendo , we get : (y+1)/(y-1)=(x-1+x+1)/(x-1-x-1)=>(y+1)/(y-1)=2x/(-2)=x/(-1)so shouldn't it be =>x = -(y+1)/(y-1) = (-y-1)/(y-1)or should it be =>x = (1+y)/(1-y)Which is correct ?
Answer» Q) f(x)=(x-1)/(x+1).find the range. y=(x-1)/(x+1) on applying componendo and dividendo , we get : (y+1)/(y-1)=(x-1+x+1)/(x-1-x-1) =>(y+1)/(y-1)=2x/(-2)=x/(-1) so shouldn't it be =>x = -(y+1)/(y-1) = (-y-1)/(y-1) or should it be =>x = (1+y)/(1-y) Which is correct ?

Discussion

1309.	99% of 99 = __ (upto 2 decimal places).
Answer» 99 $%$ of 99 = __ (upto 2 decimal places).

Discussion

1310.	The area of a triangle is 84 square cm. If the base of this triangle is 14 cm, find the height of the triangle
Answer» The area of a triangle is 84 square cm. If the base of this triangle is 14 cm, find the height of the triangle

Discussion

1311.	Question 2 Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box. Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.
Answer» Question 2 Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box. Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

Discussion

1312.	Question 3ΔABC, if AB =AC and ∠B=50∘ then ∠C is equal to(A) 40∘(B) 50∘(C) 80∘(D) 130∘
Answer» Question 3 $Δ A B C$ , if AB =AC and $∠ B = 50^{\circ}$ then $∠ C$ is equal to (A) $40^{\circ}$ (B) $50^{\circ}$ (C) $80^{\circ}$ (D) $130^{\circ}$

Discussion

1313.	John challenged his friend to compute the answer for 125÷1415. Can you assist him in selecting the correct answer?
Answer» John challenged his friend to compute the answer for $1 \frac{2}{5} \div \frac{14}{15} .$ Can you assist him in selecting the correct answer?

Discussion

1314.	Draw appropriate Venn diagrams for each of the following : (i) (A∪B)′ (ii) A′∩B′ (iii) (A∩B)′ (iv) A′∪B′
Answer» Draw appropriate Venn diagrams for each of the following : (i) $(A \cup B)^{'}$ (ii) $A^{'} \cap B^{'}$ (iii) $(A \cap B)^{'}$ (iv) $A^{'} \cup B^{'}$

1314.

Draw appropriate Venn diagrams for each of the following : (i) (A∪B)′ (ii) A′∩B′ (iii) (A∩B)′ (iv) A′∪B′

Answer»

Draw appropriate Venn diagrams for each of the following :

(i) $(A \cup B)^{'}$ (ii) $A^{'} \cap B^{'}$

(iii) $(A \cap B)^{'}$ (iv) $A^{'} \cup B^{'}$

Discussion

1315.	What % of a sample of N2 must be allowed to escape if its temperature, pressure and volume are to be changed from 220^°C, 3atm and 1.65 litre to 110^°C, 0.7atm and1 litre respectively? 1)-81.8% 2)-71.8% 3)-76.8% 4)-86.8%
Answer» What % of a sample of N2 must be allowed to escape if its temperature, pressure and volume are to be changed from 220^°C, 3atm and 1.65 litre to 110^°C, 0.7atm and1 litre respectively? 1)-81.8% 2)-71.8% 3)-76.8% 4)-86.8%

Discussion

1316.	In the following question out of the four options only one is correct, write the correct answer:(a) x=ab(b) x=−b(c) x=−ba(d) x=baThe solution of the equation ax + b = 0 is:
Answer» In the following question out of the four options only one is correct, write the correct answer: (a) $x = \frac{a}{b}$ (b) $x = - b$ (c) $x = \frac{- b}{a}$ (d) $x = \frac{b}{a}$ The solution of the equation ax + b = 0 is:

Discussion

1317.	The integrating factor for the differential equation dpdt+K2p=K1Loe−ktt is
Answer» The integrating factor for the differential equation $\frac{d p}{d t} + K_{2} p = K_{1} L_{o} e^{- k_{t} t}$ is

Discussion

1318.	In the diagram above, if PQ and CD are parallel to each other and ∠1=60∘, then ∠6=.
Answer» In the diagram above, if $P Q$ and $C D$ are parallel to each other and $∠ 1 = 60^{\circ}$ , then $∠ 6 =$ .

Discussion

1319.	Sum of to integers must be less than two numbers
Answer» Sum of to integers must be less than two numbers

Discussion

1320.	The range of the data : 21, 6, 17, 18, 12, 8, 4, 13 is ___ .
Answer» The range of the data : 21, 6, 17, 18, 12, 8, 4, 13 is ___ .

Discussion

1321.	ABCD is a rectangle such thatCD = 30 cmBC = 40 cmF is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E.If EF = 32 cms.Find the area of the region AFBCD [4 MARKS]
Answer» ABCD is a rectangle such that CD = 30 cm BC = 40 cm F is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E. If EF = 32 cms. Find the area of the region AFBCD [4 MARKS]

Discussion

1322.

A food processing company uses 25,000 kg of corn flour every year. The quantity - discount price of corn flour is provided in the table below. Quantity (kg) Unit Price (Rs/kg) 1 - 749 70 750 - 1499 65 1500 and above 60 The order processing charges are Rs. 500/ order. The handling plus carry-over charge on an annual basis is 20% of the purchase price of the corn flour per kg. The optimal order quantity (in kg) is 1500

Answer» A food processing company uses 25,000 kg of corn flour every year. The quantity - discount price of corn flour is provided in the table below.

Quantity (kg)	Unit Price (Rs/kg)
1 - 749	70
750 - 1499	65
1500 and above	60

The order processing charges are Rs. 500/ order. The handling plus carry-over charge on an annual basis is 20% of the purchase price of the corn flour per kg. The optimal order quantity (in kg) is

1500

Discussion

1323.	Question 125Planet A is at a distance of 9.35×106km from Earth and Planet B is 6.27×107 km from Earth. Which planet is nearer to Earth?
Answer» Question 125 Planet A is at a distance of $9.35 \times 10^{6} k m$ from Earth and Planet B is $6.27 \times 10^{7}$ km from Earth. Which planet is nearer to Earth?

1323.

Question 125Planet A is at a distance of 9.35×106km from Earth and Planet B is 6.27×107 km from Earth. Which planet is nearer to Earth?

Answer»

Question 125

Planet A is at a distance of $9.35 \times 10^{6} k m$ from Earth and Planet B is $6.27 \times 10^{7}$ km from Earth. Which planet is nearer to Earth?

Discussion

1324.	Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?
Answer» Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?

Discussion

1325.	What is an equivalent rational number?
Answer» What is an equivalent rational number?

Discussion

1326.	Find the numerical value of (c - a) + (d - b).
Answer» Find the numerical value of (c - a) + (d - b).

1326.

Find the numerical value of (c - a) + (d - b).

Answer»

Find the numerical value of (c - a) + (d - b).

Discussion

1327.	Express each of the following as a product of prime factors only in exponential form:(i) 729 × 64 (ii) 768
Answer» Express each of the following as a product of prime factors only in exponential form: (i) 729 × 64 (ii) 768

Discussion

1328.	The LCM of the numbers 5 and 8 is :40
Answer» The LCM of the numbers 5 and 8 is : 40

1328.

The LCM of the numbers 5 and 8 is :40

Answer»

The LCM of the numbers 5 and 8 is :

40

Discussion

1329.	Using the identities of algebraic expressions, Find the following(i) (a + 9)(a + 9)(ii) (n - 4)(n - 4)(iii)(-x + y)(-x + y)
Answer» Using the identities of algebraic expressions, Find the following (i) (a + 9)(a + 9) (ii) (n - 4)(n - 4) (iii)(-x + y)(-x + y)

Discussion

1330.	The product of 0.05 and 0.9 is ___.
Answer» The product of 0.05 and 0.9 is ___.

Discussion

1331.

Percentage of population living in urban areas of a few states in South India is given. Draw a bar graph.States Percentage of population in urban areas Karnataka 25 Andhra Pradesh 23 Tamil Nadu 33 Kerala 19

Answer»

Percentage of population living in urban areas of a few states in South India is given. Draw a bar graph.

States		Percentage of population in urban areas
Karnataka		25
Andhra Pradesh		23
Tamil Nadu		33
Kerala		19

Discussion

1332.	Question 8Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be(A) 3.6 cm(B) 4.1 cm(C) 3.8 cm(D) 3.4 cm
Answer» Question 8 Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be (A) 3.6 cm (B) 4.1 cm (C) 3.8 cm (D) 3.4 cm

Discussion

1333.	At what age did Rokeya Sakhawat Hossain write her book?
Answer» At what age did Rokeya Sakhawat Hossain write her book?

Discussion

1334.	What is 7/9 - 3/9?
Answer» What is 7/9 - 3/9?

Discussion

1335.	Find the breadth of the rectangular plot of land whose area is 660 m2 and length is 33 m. Also find its perimeter.
Answer» Find the breadth of the rectangular plot of land whose area is 660 m $^{2}$ and length is 33 m. Also find its perimeter.

Discussion

1336.	In a triangle, the perpendicular from vertex to the base bisects the base. The triangle is
Answer» In a triangle, the perpendicular from vertex to the base bisects the base. The triangle is

Discussion

1337.	Identify the fraction(s) which will result in non-terminating decimal number(s).
Answer» Identify the fraction(s) which will result in non-terminating decimal number(s).

Discussion

1338.	Question 4(b)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:39 litres : 65 litres and 6 bottles : 10 bottles
Answer» Question 4(b) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 39 litres : 65 litres and 6 bottles : 10 bottles

1338.

Question 4(b)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:39 litres : 65 litres and 6 bottles : 10 bottles

Answer»

Question 4(b)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

39 litres : 65 litres and 6 bottles : 10 bottles

Discussion

1339.	If your brother is y years old and you are 5 years younger than he is, then you are years old.
Answer» If your brother is $y$ years old and you are $5$ years younger than he is, then you are years old.

Discussion

1340.	From the figure, the angle of sector in a pie chart representing science students is .
Answer» From the figure, the angle of sector in a pie chart representing science students is .

Discussion

1341.	Find the value of the expression: (710−63100)×110+110
Answer» Find the value of the expression: $(\frac{7}{10} - \frac{63}{100}) \times \frac{1}{10} + \frac{1}{10}$

Discussion

1342.	7+(49÷(2×3+1))–13=
Answer» $7 + (49 \div (2 \times 3 + 1)) - 13 =$

Discussion

1343.	The first half of total distance of 50 km is covered in 2 hours, and the second half in 3 hours. The average speed is ______.
Answer» The first half of total distance of 50 km is covered in 2 hours, and the second half in 3 hours. The average speed is ______.

Discussion

1344.	In the given figure AB ∥ CD, ∠AEO=55∘, ∠CFO=40∘. The measure of reflex ∠EOF is
Answer» In the given figure $A B$ ∥ $C D$ , $∠ A E O = 55^{\circ}$ , $∠ C F O = 40^{\circ}$ . The measure of reflex $∠ E O F$ is

Discussion

1345.	If I is the graph of the function f(x)=x3, then curve II is given by
Answer» If $I$ is the graph of the function $f (x) = x^{3}$ , then curve $I I$ is given by

Discussion

1346.	David cuts a cake into two equal halves. He cuts one half into smaller pieces of equal size. Each of these small pieces weighs twenty grams. If he has seven pieces of the cake in total, then how heavy was the original cake?
Answer» David cuts a cake into two equal halves. He cuts one half into smaller pieces of equal size. Each of these small pieces weighs twenty grams. If he has seven pieces of the cake in total, then how heavy was the original cake?

Discussion

1347.	if the _{}pressure and temperature of 2 litres of CO_2 are doubled the volume of CO_2 would become (1)5 litres (2)4 litres (3)8 litres (4)2 litr
Answer» if the _{}pressure and temperature of 2 litres of CO_2 are doubled the volume of CO_2 would become (1)5 litres (2)4 litres (3)8 litres (4)2 litr

Discussion

1348.	Adam played 7 games and recorded the data of his scores as follows:What is the difference between the mean in the presence and absence of outlier?
Answer» Adam played $7$ games and recorded the data of his scores as follows: What is the difference between the mean in the presence and absence of outlier?

Discussion

1349.	Sunil and his father's age is in the ratio 3:7. Four years hence, the sum of their ages will be 78 years. Find Sunil's age.
Answer» Sunil and his father's age is in the ratio 3:7. Four years hence, the sum of their ages will be 78 years. Find Sunil's age.

Discussion

1350.	Identify few uses of number line?
Answer» Identify few uses of number line?

Discussion

Explore topic-wise InterviewSolutions in .

In the given diagram, ∠XOB and ∠YO|P are called ________.

‘2’ multiplied ten times is expressed numerically as _____ .

The diameter of a circular flower garden is 70 m. What is the cost of fencing it, at ₹20 per metre ?

Written:Construct a triangle PQR, in which PQ = QR = RP = 6 cm.

If the length breadth and height of a cuboid are tripled, by factor does it's volume change ?

Amina buysa book for Rs 275 and sells it at a loss of 15%. How much does shesell it for?

Express 360 as product of its prime factors.

Q) f(x)=(x-1)/(x+1).find the range. y=(x-1)/(x+1)on applying componendo and dividendo , we get : (y+1)/(y-1)=(x-1+x+1)/(x-1-x-1)=>(y+1)/(y-1)=2x/(-2)=x/(-1)so shouldn't it be =>x = -(y+1)/(y-1) = (-y-1)/(y-1)or should it be =>x = (1+y)/(1-y)Which is correct ?

99% of 99 = __ (upto 2 decimal places).

The area of a triangle is 84 square cm. If the base of this triangle is 14 cm, find the height of the triangle

Question 3ΔABC, if AB =AC and ∠B=50∘ then ∠C is equal to(A) 40∘(B) 50∘(C) 80∘(D) 130∘

John challenged his friend to compute the answer for 125÷1415. Can you assist him in selecting the correct answer?

Draw appropriate Venn diagrams for each of the following : (i) (A∪B)′ (ii) A′∩B′ (iii) (A∩B)′ (iv) A′∪B′

What % of a sample of N2 must be allowed to escape if its temperature, pressure and volume are to be changed from 220^°C, 3atm and 1.65 litre to 110^°C, 0.7atm and1 litre respectively? 1)-81.8% 2)-71.8% 3)-76.8% 4)-86.8%

In the following question out of the four options only one is correct, write the correct answer:(a) x=ab(b) x=−b(c) x=−ba(d) x=baThe solution of the equation ax + b = 0 is:

The integrating factor for the differential equation dpdt+K2p=K1Loe−ktt is

In the diagram above, if PQ and CD are parallel to each other and ∠1=60∘, then ∠6=.

Sum of to integers must be less than two numbers

The range of the data : 21, 6, 17, 18, 12, 8, 4, 13 is ___ .

ABCD is a rectangle such thatCD = 30 cmBC = 40 cmF is a point on the interior of the rectangle and the perpendicular from F meets the side AB at its midpoint i.e., E.If EF = 32 cms.Find the area of the region AFBCD [4 MARKS]

Question 125Planet A is at a distance of 9.35×106km from Earth and Planet B is 6.27×107 km from Earth. Which planet is nearer to Earth?

Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?

What is an equivalent rational number?

Find the numerical value of (c - a) + (d - b).

Express each of the following as a product of prime factors only in exponential form:(i) 729 × 64 (ii) 768

The LCM of the numbers 5 and 8 is :40

Using the identities of algebraic expressions, Find the following(i) (a + 9)(a + 9)(ii) (n - 4)(n - 4)(iii)(-x + y)(-x + y)

The product of 0.05 and 0.9 is ___.

Percentage of population living in urban areas of a few states in South India is given. Draw a bar graph.States Percentage of population in urban areas Karnataka 25 Andhra Pradesh 23 Tamil Nadu 33 Kerala 19

Question 8Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be(A) 3.6 cm(B) 4.1 cm(C) 3.8 cm(D) 3.4 cm

At what age did Rokeya Sakhawat Hossain write her book?

What is 7/9 - 3/9?

Find the breadth of the rectangular plot of land whose area is 660 m2 and length is 33 m. Also find its perimeter.

In a triangle, the perpendicular from vertex to the base bisects the base. The triangle is

Identify the fraction(s) which will result in non-terminating decimal number(s).

Question 4(b)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:39 litres : 65 litres and 6 bottles : 10 bottles

If your brother is y years old and you are 5 years younger than he is, then you are years old.

From the figure, the angle of sector in a pie chart representing science students is .

Find the value of the expression: (710−63100)×110+110

7+(49÷(2×3+1))–13=

The first half of total distance of 50 km is covered in 2 hours, and the second half in 3 hours. The average speed is ______.

In the given figure AB ∥ CD, ∠AEO=55∘, ∠CFO=40∘. The measure of reflex ∠EOF is

If I is the graph of the function f(x)=x3, then curve II is given by

David cuts a cake into two equal halves. He cuts one half into smaller pieces of equal size. Each of these small pieces weighs twenty grams. If he has seven pieces of the cake in total, then how heavy was the original cake?

if the _{}pressure and temperature of 2 litres of CO_2 are doubled the volume of CO_2 would become (1)5 litres (2)4 litres (3)8 litres (4)2 litr

Adam played 7 games and recorded the data of his scores as follows:What is the difference between the mean in the presence and absence of outlier?

Sunil and his father's age is in the ratio 3:7. Four years hence, the sum of their ages will be 78 years. Find Sunil's age.

Identify few uses of number line?