19743 + Interview Questions in Mathematics Page 220 InterviewSolution

10951.	Question 57 State whether the statement is True or False. Two right angles are complementary to each other.
Answer» Question 57 State whether the statement is True or False. Two right angles are complementary to each other.

10951.

Question 57 State whether the statement is True or False. Two right angles are complementary to each other.

Answer»

Question 57

State whether the statement is True or False.

Two right angles are complementary to each other.

Discussion

10952.	Question 29 Fill in the blanks to make each statement true: After 18 years, Swarnim will be 4 times as old as he he is now. His present age is ...................
Answer» Question 29 Fill in the blanks to make each statement true: After 18 years, Swarnim will be 4 times as old as he he is now. His present age is ...................

10952.

Question 29 Fill in the blanks to make each statement true: After 18 years, Swarnim will be 4 times as old as he he is now. His present age is ...................

Answer»

Question 29

Fill in the blanks to make each statement true:

After 18 years, Swarnim will be 4 times as old as he he is now. His present age is ...................

Discussion

10953.	In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A & B are given by two line graphs.In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.
Answer» In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A & B are given by two line graphs. In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.

10953.

In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A & B are given by two line graphs.In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.

Answer»

In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A & B are given by two line graphs.

In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.

Discussion

10954.	Alex has 12 blue shirts and 12 white shirts. Everyday he picks one shirt at random for office. After he has used that shirt, he chooses another shirt at random and wears them.What is the probability that he first picks a white shirt then a blue?
Answer» Alex has 12 blue shirts and 12 white shirts. Everyday he picks one shirt at random for office. After he has used that shirt, he chooses another shirt at random and wears them.What is the probability that he first picks a white shirt then a blue?

Discussion

10955.	If 2x-y=2 and 5x+2y=14 then the value of x+y is
Answer» If 2x-y=2 and 5x+2y=14 then the value of x+y is

Discussion

10956.	If the cost of a ribbon is ₹10 per metre, then how many metres of ribbon can be bought for ₹100?
Answer» If the cost of a ribbon is ₹10 per metre, then how many metres of ribbon can be bought for ₹100?

Discussion

10957.	What should be added to −34 to get 516?
Answer» What should be added to $\frac{- 3}{4}$ to get $\frac{5}{16}$ ?

Discussion

10958.	2x+4/2x+4+7/2x+4 (where x is not equal to -2) then the value of x is ?THE OPTIONS:A) -6B) 13/10C) -13/10D) 3/8
Answer» 2x+4/2x+4+7/2x+4 (where x is not equal to -2) then the value of x is ? THE OPTIONS: A) -6 B) 13/10 C) -13/10 D) 3/8

Discussion

10959.	Dividing (a+b)2+(a−b)2 by (a2+b2) gives ______.2
Answer» Dividing $(a + b)^{2} + (a - b)^{2}$ by $(a^{2} + b^{2})$ gives ______. 2

Discussion

10960.	Fill in the blanks with suitable answers.(1) The biggest numerals used in the base five system is ……..(2) 17 has ……. group of 5 and …….. units.(3) 2 × 52 + 1 × 51 + 0 × 50 This expression is in ……. system.(4) Expansion of 432(5) is ……..(5) 28 in base 5 system is …….
Answer» Fill in the blanks with suitable answers. (1) The biggest numerals used in the base five system is …….. (2) 17 has ……. group of 5 and …….. units. (3) 2 × 5² + 1 × 5¹ + 0 × 5⁰ This expression is in ……. system. (4) Expansion of 432₍₅₎ is …….. (5) 28 in base 5 system is …….

10960.

Fill in the blanks with suitable answers.(1) The biggest numerals used in the base five system is ……..(2) 17 has ……. group of 5 and …….. units.(3) 2 × 52 + 1 × 51 + 0 × 50 This expression is in ……. system.(4) Expansion of 432(5) is ……..(5) 28 in base 5 system is …….

Answer»

Fill in the blanks with suitable answers.

(1) The biggest numerals used in the base five system is ……..

(2) 17 has ……. group of 5 and …….. units.

(3) 2 × 5² + 1 × 5¹ + 0 × 5⁰ This expression is in ……. system.

(4) Expansion of 432₍₅₎ is ……..

(5) 28 in base 5 system is …….

Discussion

10961.	Question 67 (i)Look at the shape given below and state if it is a polyhedron using Euler's formula.
Answer» Question 67 (i) Look at the shape given below and state if it is a polyhedron using Euler's formula.

Discussion

10962.	In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.
Answer» In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.

Discussion

10963.	The total number of elements in the sample space for the experiment where a coin is tossed and a die is thrown is:
Answer» The total number of elements in the sample space for the experiment where a coin is tossed and a die is thrown is:

Discussion

10964.	When we check the entry of last electron in p- block why we take 10+3 for 13 group elements or 10+4 for 14 group elements ? Why we take 10?
Answer» When we check the entry of last electron in p- block why we take 10+3 for 13 group elements or 10+4 for 14 group elements ? Why we take 10?

Discussion

10965.	Which of the following decimal expansions is terminating?
Answer» Which of the following decimal expansions is terminating?

Discussion

10966.	If N is selected in GROUP I, who must be selected in GROUP II? I) M II) P III)S IV) R
Answer» If N is selected in GROUP I, who must be selected in GROUP II? I) M II) P III)S IV) R

10966.

If N is selected in GROUP I, who must be selected in GROUP II? I) M II) P III)S IV) R

Answer»

If N is selected in GROUP I, who must be selected in GROUP II?

I) M II) P III)S IV) R

Discussion

10967.	The value of i^11 + i^12 + i^13 + i^15 /1+i
Answer» The value of i^11 + i^12 + i^13 + i^15 /1+i

Discussion

10968.	Jake answers questions in an online Olympic trivia quiz. In the quiz, he loses 3 points when he gives an incorrect answer. If total point lost by him is 33, then find the number of incorrect answers?
Answer» Jake answers questions in an online Olympic trivia quiz. In the quiz, he loses $3$ points when he gives an incorrect answer. If total point lost by him is $33,$ then find the number of incorrect answers?

Discussion

10969.	Evaluate(i) 4216-23+1256-34+2243-15(ii) 64125-23+256625-14+370(iii) 8116-34 259-32÷52-3(iv) 2552×7291312523×2723×843
Answer» Evaluate (i) $\frac{4}{{(216)}^{- \frac{2}{3}}} + \frac{1}{{(256)}^{- \frac{3}{4}}} + \frac{2}{{(243)}^{- \frac{1}{5}}}$ (ii) ${(\frac{64}{125})}^{- \frac{2}{3}} + {(\frac{256}{625})}^{- \frac{1}{4}} + {(\frac{3}{7})}^{0}$ (iii) ${(\frac{81}{16})}^{- \frac{3}{4}} [{(\frac{25}{9})}^{- \frac{3}{2}} \div {(\frac{5}{2})}^{- 3}]$ (iv) $\frac{{(25)}^{\frac{5}{2}} \times {(729)}^{\frac{1}{3}}}{{(125)}^{\frac{2}{3}} \times {(27)}^{\frac{2}{3}} \times 8^{\frac{4}{3}}}$

Discussion

10970.	Which of the following figure(s) show(s) obtuse angle?
Answer» Which of the following figure(s) show(s) obtuse angle?

Discussion

10971.	Question 109 (ii)At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?
Answer» Question 109 (ii) At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

10971.

Question 109 (ii)At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

Answer»

Question 109 (ii)

At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

Discussion

10972.	The probability of getting a sum of 7 on two rolls of a die is .
Answer» The probability of getting a sum of 7 on two rolls of a die is .

Discussion

10973.	Insert 4 rational number between 12 and 43
Answer» Insert $4$ rational number between $\frac{1}{2}$ and $\frac{4}{3}$

Discussion

10974.	If 5 is added to three times the product of two numbers m and n, then the expression will be _______.
Answer» If 5 is added to three times the product of two numbers $m$ and $n$ , then the expression will be _______.

Discussion

10975.	Edward is cleaning the window in his room so that he can see the stars at night. The window has 6 equal-sized panes. Edward cleans 2 of those panes with soapy water. What fraction of the window does Edward clean with soapy water?
Answer» Edward is cleaning the window in his room so that he can see the stars at night. The window has $6$ equal-sized panes. Edward cleans $2$ of those panes with soapy water. What fraction of the window does Edward clean with soapy water?

Discussion

10976.	Find the number corresponds to XXI in Hindu-Arabic numerals.21
Answer» Find the number corresponds to XXI in Hindu-Arabic numerals. 21

Discussion

10977.	In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice?
Answer» In a survey of $400$ students in a school, $100$ were listed as taking apple juice, $150$ as taking orange juice and $75$ were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice?

Discussion

10978.	13. In how many ways 3 boys and 15 girls can sit together in a row such that in between any two boys at least 2 girls should sit?
Answer» 13. In how many ways 3 boys and 15 girls can sit together in a row such that in between any two boys at least 2 girls should sit?

Discussion

10979.	explain the derivation of ''mirror formula'' in short.
Answer» explain the derivation of ''mirror formula'' in short.

Discussion

10980.	Question 3(i)Find the following squares by using identities:(b−7)2
Answer» Question 3(i) Find the following squares by using identities: $(b - 7)^{2}$

Discussion

10981.	Name any two figures that have both line symmetry and rotational symmetry.
Answer» Name any two figures that have both line symmetry and rotational symmetry.

Discussion

10982.	What Is the least number that must be subtracted from 1160 so that the sum of 1160 and the resulting number is completely divisible by 19?
Answer» What Is the least number that must be subtracted from 1160 so that the sum of 1160 and the resulting number is completely divisible by 19?

Discussion

10983.	What is the probability that the sum of two rolled dice is 13?
Answer» What is the probability that the sum of two rolled dice is 13?

Discussion

10984.	(1) Subtract the sum of 3a and 4a from 9a(2) Subtract (−5xy + 9yz) from (3xy − 4yz)(3) Subtract (7m2 − 2m) from (−4m − 7m2)(4) Subtract (6a − 4b + c) from (−a + 3b − 5c)(5) Subtract (−4x − 8y + 7) from (3y − 7x + 1)(6) How much should be added to (5x − 3y) to get (3x − 5y)?
Answer» (1) Subtract the sum of 3a and 4a from 9a (2) Subtract (−5xy + 9yz) from (3xy − 4yz) (3) Subtract (7m² − 2m) from (−4m − 7m²) (4) Subtract (6a − 4b + c) from (−a + 3b − 5c) (5) Subtract (−4x − 8y + 7) from (3y − 7x + 1) (6) How much should be added to (5x − 3y) to get (3x − 5y)?

10984.

(1) Subtract the sum of 3a and 4a from 9a(2) Subtract (−5xy + 9yz) from (3xy − 4yz)(3) Subtract (7m2 − 2m) from (−4m − 7m2)(4) Subtract (6a − 4b + c) from (−a + 3b − 5c)(5) Subtract (−4x − 8y + 7) from (3y − 7x + 1)(6) How much should be added to (5x − 3y) to get (3x − 5y)?

Answer»

(1) Subtract the sum of 3a and 4a from 9a

(2) Subtract (−5xy + 9yz) from (3xy − 4yz)

(3) Subtract (7m² − 2m) from (−4m − 7m²)

(4) Subtract (6a − 4b + c) from (−a + 3b − 5c)

(5) Subtract (−4x − 8y + 7) from (3y − 7x + 1)

(6) How much should be added to (5x − 3y) to get (3x − 5y)?

Discussion

10985.	Question 34 Fill in the blank to make statement true. The common portion of two adjacent faces of a cuboid is called ___.
Answer» Question 34 Fill in the blank to make statement true. The common portion of two adjacent faces of a cuboid is called ___.

Discussion

10986.	A rectangular prism has a length of 20 cm, a breadth of 6 cm and a depth of 14 cm. How much is its total surface area (in cm2) ?
Answer» A rectangular prism has a length of $20$ cm, a breadth of $6$ cm and a depth of $14$ cm. How much is its total surface area (in cm $^{2}$ ) ?

Discussion

10987.	Question 101 (ii)Here is a keyboard fo a harmonium.What is the ratio of black keys to all keys on the given keyboard?
Answer» Question 101 (ii) Here is a keyboard fo a harmonium. What is the ratio of black keys to all keys on the given keyboard?

10987.

Question 101 (ii)Here is a keyboard fo a harmonium.What is the ratio of black keys to all keys on the given keyboard?

Answer»

Question 101 (ii)

Here is a keyboard fo a harmonium.

What is the ratio of black keys to all keys on the given keyboard?

Discussion

10988.	Show that in a right angled triangle, the hypotenuse is the longest side.
Answer» Show that in a right angled triangle, the hypotenuse is the longest side.

Discussion

10989.	Question 3 (iv) Find the value of the following expressions, when x = -1: 2x2−x−2
Answer» Question 3 (iv) Find the value of the following expressions, when x = -1: $2 x^{2} - x - 2$

10989.

Question 3 (iv) Find the value of the following expressions, when x = -1: 2x2−x−2

Answer»

Question 3 (iv)

Find the value of the following expressions, when x = -1:
$2 x^{2} - x - 2$

Discussion

10990.	What is the meanings of the words lemma, theorem, axioms,corollary, theory.differentiate
Answer» What is the meanings of the words lemma, theorem, axioms,corollary, theory.differentiate

Discussion

10991.	A person has ₹ 960 in denominations of ₹ 1, ₹ 5 and ₹ 10 notes. The number of notes in each denomination is equal. What is the total number of notes?
Answer» A person has ₹ 960 in denominations of ₹ 1, ₹ 5 and ₹ 10 notes. The number of notes in each denomination is equal. What is the total number of notes?

Discussion

10992.	2, 9, 28, 65, ?
Answer» 2, 9, 28, 65, ?

Discussion

10993.	Question 11 Some integers are marked on a board. What is the range of these integers? (a) 31 (b) 37 (c) 20 (d) 3
Answer» Question 11 Some integers are marked on a board. What is the range of these integers? (a) 31 (b) 37 (c) 20 (d) 3

Discussion

10994.	Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of y (in degrees). ___
Answer» Consider the figure: If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ , and x = 2y, then find the value of y (in degrees). ___

10994.

Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of y (in degrees). ___

Answer»

Consider the figure:

If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ , and x = 2y, then find the value of y (in degrees).

___

Discussion

10995.	What is the equivalent rational number for −1536 with numerator -75 ?
Answer» What is the equivalent rational number for $\frac{- 15}{36}$ with numerator -75 ?

Discussion

10996.	Solve the following:From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.
Answer» Solve the following: From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.

10996.

Solve the following:From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.

Answer»

Solve the following:

From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.

Discussion

10997.	In the above diagram scale is started from 0 and maximum value is 30. what is the measure of 1 unit?
Answer» In the above diagram scale is started from 0 and maximum value is 30. what is the measure of 1 unit?

10997.

In the above diagram scale is started from 0 and maximum value is 30. what is the measure of 1 unit?

Answer»

In the above diagram scale is started from 0 and maximum value is 30. what is the measure of 1 unit?

Discussion

10998.	What is the product of the smallest two-digit composite odd number and the biggest even prime number?
Answer» What is the product of the smallest two-digit composite odd number and the biggest even prime number?

Discussion

10999.	How many triangular faces will be there in a triangular pyramid?
Answer» How many triangular faces will be there in a triangular pyramid?

Discussion

11000.	Question 15 Which of the following is the multiplicative identity for an integer? (a) a (b) 1 (c) 0 (d) -1
Answer» Question 15 Which of the following is the multiplicative identity for an integer? (a) a (b) 1 (c) 0 (d) -1

11000.

Question 15 Which of the following is the multiplicative identity for an integer? (a) a (b) 1 (c) 0 (d) -1

Answer»

Question 15

Which of the following is the multiplicative identity for an integer?

(a) a

(b) 1

(c) 0

(d) -1

Discussion

Explore topic-wise InterviewSolutions in .

Question 57 State whether the statement is True or False. Two right angles are complementary to each other.

Question 29 Fill in the blanks to make each statement true: After 18 years, Swarnim will be 4 times as old as he he is now. His present age is ...................

In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A &amp; B are given by two line graphs.In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.

Alex has 12 blue shirts and 12 white shirts. Everyday he picks one shirt at random for office. After he has used that shirt, he chooses another shirt at random and wears them.What is the probability that he first picks a white shirt then a blue?

If 2x-y=2 and 5x+2y=14 then the value of x+y is

If the cost of a ribbon is ₹10 per metre, then how many metres of ribbon can be bought for ₹100?

What should be added to −34 to get 516?

2x+4/2x+4+7/2x+4 (where x is not equal to -2) then the value of x is ?THE OPTIONS:A) -6B) 13/10C) -13/10D) 3/8

Dividing (a+b)2+(a−b)2 by (a2+b2) gives ______.2

Fill in the blanks with suitable answers.(1) The biggest numerals used in the base five system is ……..(2) 17 has ……. group of 5 and …….. units.(3) 2 × 52 + 1 × 51 + 0 × 50 This expression is in ……. system.(4) Expansion of 432(5) is ……..(5) 28 in base 5 system is …….

Question 67 (i)Look at the shape given below and state if it is a polyhedron using Euler's formula.

In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.

The total number of elements in the sample space for the experiment where a coin is tossed and a die is thrown is:

When we check the entry of last electron in p- block why we take 10+3 for 13 group elements or 10+4 for 14 group elements ? Why we take 10?

Which of the following decimal expansions is terminating?

If N is selected in GROUP I, who must be selected in GROUP II? I) M II) P III)S IV) R

The value of i^11 + i^12 + i^13 + i^15 /1+i

Jake answers questions in an online Olympic trivia quiz. In the quiz, he loses 3 points when he gives an incorrect answer. If total point lost by him is 33, then find the number of incorrect answers?

Evaluate(i) 4216-23+1256-34+2243-15(ii) 64125-23+256625-14+370(iii) 8116-34 259-32÷52-3(iv) 2552×7291312523×2723×843

Which of the following figure(s) show(s) obtuse angle?

Question 109 (ii)At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

The probability of getting a sum of 7 on two rolls of a die is .

Insert 4 rational number between 12 and 43

If 5 is added to three times the product of two numbers m and n, then the expression will be _______.

Edward is cleaning the window in his room so that he can see the stars at night. The window has 6 equal-sized panes. Edward cleans 2 of those panes with soapy water. What fraction of the window does Edward clean with soapy water?

Find the number corresponds to XXI in Hindu-Arabic numerals.21

In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice?

13. In how many ways 3 boys and 15 girls can sit together in a row such that in between any two boys at least 2 girls should sit?

explain the derivation of ''mirror formula'' in short.

Question 3(i)Find the following squares by using identities:(b−7)2

Name any two figures that have both line symmetry and rotational symmetry.

What Is the least number that must be subtracted from 1160 so that the sum of 1160 and the resulting number is completely divisible by 19?

What is the probability that the sum of two rolled dice is 13?

Question 34 Fill in the blank to make statement true. The common portion of two adjacent faces of a cuboid is called ___.

A rectangular prism has a length of 20 cm, a breadth of 6 cm and a depth of 14 cm. How much is its total surface area (in cm2) ?

Question 101 (ii)Here is a keyboard fo a harmonium.What is the ratio of black keys to all keys on the given keyboard?

Show that in a right angled triangle, the hypotenuse is the longest side.

Question 3 (iv) Find the value of the following expressions, when x = -1: 2x2−x−2

What is the meanings of the words lemma, theorem, axioms,corollary, theory.differentiate

A person has ₹ 960 in denominations of ₹ 1, ₹ 5 and ₹ 10 notes. The number of notes in each denomination is equal. What is the total number of notes?

2, 9, 28, 65, ?

Question 11 Some integers are marked on a board. What is the range of these integers? (a) 31 (b) 37 (c) 20 (d) 3

Consider the figure: If ∠A = 50∘​, ∠B = 70∘​, and x = 2y, then find the value of y (in degrees). ___

What is the equivalent rational number for −1536 with numerator -75 ?

Solve the following:From a sugarcane of length 8m, two pieces measuring 2.5m and 3.75m are cut off. Find the length of the remaining piece of sugarcane.

In the above diagram scale is started from 0 and maximum value is 30. what is the measure of 1 unit?

What is the product of the smallest two-digit composite odd number and the biggest even prime number?

How many triangular faces will be there in a triangular pyramid?

Question 15 Which of the following is the multiplicative identity for an integer? (a) a (b) 1 (c) 0 (d) -1

In a T-20 cricket match (which is played for 20 overs), runs scored by the two teams A & B are given by two line graphs.In how many instances during the entire match a team scored the same runs in the same over as compared to the other team.

Consider the figure: If ∠A = 50∘, ∠B = 70∘, and x = 2y, then find the value of y (in degrees). ___