19743 + Interview Questions in Mathematics Page 170 InterviewSolution

8451.	Question 46 The reciprocal of an improper fraction is an improper fraction
Answer» Question 46 The reciprocal of an improper fraction is an improper fraction

8451.

Question 46 The reciprocal of an improper fraction is an improper fraction

Answer»

Question 46

The reciprocal of an improper fraction is an improper fraction

8452.	If a * b denotes the larger of 'a' and 'b' and if aob = (a * b) + 3, then write the value of (5) o (10), where * and o are binary operations.
Answer» If a * b denotes the larger of 'a' and 'b' and if aob = (a * b) + 3, then write the value of (5) o (10), where * and o are binary operations.

Discussion

8453.	An exterior angle of a triangle is 115∘ and one of the opposite angles is 35∘. Find the other two angles. [3 MARKS]
Answer» An exterior angle of a triangle is $115^{\circ}$ and one of the opposite angles is $35^{\circ}$ . Find the other two angles. [3 MARKS]

Discussion

8454.	6. Six bells commence tolling together and toll at intervals of 2,4,6,8,10,12 minutes respectively.In 30 hours , how many times do they toll together?
Answer» 6. Six bells commence tolling together and toll at intervals of 2,4,6,8,10,12 minutes respectively.In 30 hours , how many times do they toll together?

Discussion

8455.	A clock manufacturer decreases the price of a particular model by 6% each year. If the current price of the model is ₹4,500, then what would be the price after 2 years?
Answer» A clock manufacturer decreases the price of a particular model by 6% each year. If the current price of the model is ₹4,500, then what would be the price after 2 years?

Discussion

8456.	A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?
Answer» A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?

Discussion

8457.	Fill in the blanks:(–8) + ___ = 0
Answer» Fill in the blanks: (–8) + ___ = 0

8457.

Fill in the blanks:(–8) + ___ = 0

Answer»

Fill in the blanks:

(–8) + ___ = 0

Discussion

8458.	∫(2x+5)10-4x-3x2dx
Answer» $\int (2 x + 5) \sqrt{10 - 4 x - 3 x^{2}} d x$

Discussion

8459.	There are 200 bulbs in a box. If 45 % of the bulbs are green; the number of green bulbs are ____.
Answer» There are 200 bulbs in a box. If 45 $%$ of the bulbs are green; the number of green bulbs are ____.

Discussion

8460.	Study the Joint Bar Graph and find the difference between the number of boys who like basketball and soccer.
Answer» Study the Joint Bar Graph and find the difference between the number of boys who like basketball and soccer.

Discussion

8461.	If area of a square is equal to area of a rectangle whose length and breadth are 9 cm and 4 cm respectively, then find the perimeter of the square.
Answer» If area of a square is equal to area of a rectangle whose length and breadth are 9 cm and 4 cm respectively, then find the perimeter of the square.

Discussion

8462.	Factorise 18x3y3−27x2y3+36x3y2.
Answer» Factorise $18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}$ .

Discussion

8463.	Solve using suitable property, state the property used.8 x 5 x 125 x 20 x 6
Answer» Solve using suitable property, state the property used. 8 x 5 x 125 x 20 x 6

8463.

Solve using suitable property, state the property used.8 x 5 x 125 x 20 x 6

Answer»

Solve using suitable property, state the property used.

8 x 5 x 125 x 20 x 6

Discussion

8464.	A man invested 2/5 of his capital at 8% p.a., 3/8 of his capital at 10% p.a. and the remaining at 12% p.a. If his annual income at simple interest is Rs 965, then his capital is (a) Rs 8000(b) Rs 9000(c) Rs 10000(d) Rs 11000
Answer» A man invested 2/5 of his capital at 8% p.a., 3/8 of his capital at 10% p.a. and the remaining at 12% p.a. If his annual income at simple interest is Rs 965, then his capital is (a) Rs 8000 (b) Rs 9000 (c) Rs 10000 (d) Rs 11000

Discussion

8465.	What is the name of a twelve-sided polygon?
Answer» What is the name of a twelve-sided polygon?

Discussion

8466.	Observe the rectangle given below If we rearrange the dots and make this rectangle a square, then what will be the side of that square.
Answer» Observe the rectangle given below If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

8466.

Observe the rectangle given below If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

Answer»

Observe the rectangle given below

If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

Discussion

8467.	300 is divided into two parts such that half of one part is less than the other by 48. Find the two parts.
Answer» 300 is divided into two parts such that half of one part is less than the other by 48. Find the two parts.

Discussion

8468.	The cost of an article is ₹15500 and ₹450 is spent on its repair. If the article is sold at a profit of 15%, then what is the selling price of the article?
Answer» The cost of an article is ₹15500 and ₹450 is spent on its repair. If the article is sold at a profit of 15%, then what is the selling price of the article?

Discussion

8469.	The components in a segment are_________.
Answer» The components in a segment are_________.

Discussion

8470.	the temperature at 12 noon was 10 degree celcius above zero . if it decreases at the rate of 2 degrees celcius per hour until midnight , at what time would the temperature be 8 degree celius below zero ? what would be the temperature at midnight ?
Answer» the temperature at 12 noon was 10 degree celcius above zero . if it decreases at the rate of 2 degrees celcius per hour until midnight , at what time would the temperature be 8 degree celius below zero ? what would be the temperature at midnight ?

Discussion

8471.	Question 3If ΔABC≅ΔFED under the correspondence ABC↔FED, write all the corresponding congruent parts of the triangles.
Answer» Question 3 If $Δ A B C ≅ Δ F E D$ under the correspondence $A B C \leftrightarrow F E D$ , write all the corresponding congruent parts of the triangles.

Discussion

8472.	Find the value of x. Write the measure of BOC. 2x-10 and 3x plus 20 degrees
Answer» Find the value of x. Write the measure of BOC. 2x-10 and 3x plus 20 degrees

Discussion

8473.	Mark the correct alternative in the following question:How many envelopes can be made out of a sheet of paper 72 cm by 48 cm, if each envelope requires a paper of size 18 cm by 12 cm?(a) 4 (b) 8 (c) 12 (d) 16
Answer» Mark the correct alternative in the following question: How many envelopes can be made out of a sheet of paper 72 cm by 48 cm, if each envelope requires a paper of size 18 cm by 12 cm? (a) 4 (b) 8 (c) 12 (d) 16

Discussion

8474.	Creditors on 1st April, 2017 were ₹15,000, Purchases on credit were ₹30,000, Cash paid to Creditors during 2017-18 was ₹20,000, Returns Outward (regarding credit purchases) were ₹1,000 and Bills Payable accepted during the year ₹10,000. Find the balance of Creditors on 31st March, 2018.
Answer» Creditors on 1st April, 2017 were ₹15,000, Purchases on credit were ₹30,000, Cash paid to Creditors during 2017-18 was ₹20,000, Returns Outward (regarding credit purchases) were ₹1,000 and Bills Payable accepted during the year ₹10,000. Find the balance of Creditors on 31st March, 2018.

Discussion

8475.	Which of the pairs given in options will add up to give 9x+5y?
Answer» Which of the pairs given in options will add up to give $9 x + 5 y$ ?

Discussion

8476.	The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics. While Germany won 7 bronze medals, how many silver medals did they win?
Answer» The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics. While Germany won 7 bronze medals, how many silver medals did they win?

8476.

The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics. While Germany won 7 bronze medals, how many silver medals did they win?

Answer»

The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics.

While Germany won 7 bronze medals, how many silver medals did they win?

Discussion

8477.	The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?
Answer» The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

8477.

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

Answer»

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

Discussion

8478.	Maximum number of points of intersection of n straight lines if n satisfies n+5Pn+1=11(n−1)2× n+3Pn is
Answer» Maximum number of points of intersection of $n$ straight lines if $n$ satisfies $^{n + 5} P_{n + 1} = \frac{11 (n - 1)}{2} \times^{n + 3} P_{n}$ is

Discussion

8479.

From the following information of Kamal, Guwahati, prepare a Purchases Book and post them into Ledger: 2018 April 1 Purchased from Videocon India Ltd., Kolkata; 30 Colour T.Vs ₹ 15,000 each, less Trade Discount 10% plus IGST 12%. Freight charges ₹ 2,000. April 15 Purchased from Sony India Ltd., Guwahati: 10 colour T.Vs ₹ 20,000 each less Trade Discount 10% plus CGST and SGST 6% each. April 20 Purchased from Music India Ltd., Delhi: 10 music systems ₹ 10,000 each less Trade Discount 15% plus IGST 12%. April 30 Purchased from Videocon India Ltd., Kolkata: 5 washing machine ₹ 15,000 each less Trade Discount 20%, plus IGST 12%, Freight charges ₹ 1,000.

Answer» From the following information of Kamal, Guwahati, prepare a Purchases Book and post them into Ledger:

2018
April 1	Purchased from Videocon India Ltd., Kolkata;
	30 Colour T.Vs ₹ 15,000 each, less Trade Discount 10% plus IGST 12%. Freight charges ₹ 2,000.
April 15	Purchased from Sony India Ltd., Guwahati:
	10 colour T.Vs ₹ 20,000 each less Trade Discount 10% plus CGST and SGST 6% each.
April 20	Purchased from Music India Ltd., Delhi:
	10 music systems ₹ 10,000 each less Trade Discount 15% plus IGST 12%.
April 30	Purchased from Videocon India Ltd., Kolkata:
	5 washing machine ₹ 15,000 each less Trade Discount 20%, plus IGST 12%, Freight charges ₹ 1,000.

Discussion

8480.	Question 6Like term as 4m3n2 isa) 4m2n2b) −6m3n2c) 6pm3n2d) 4m3n2
Answer» Question 6 Like term as $4 m^{3} n^{2}$ is a) $4 m^{2} n^{2}$ b) $- 6 m^{3} n^{2}$ c) $6 p m^{3} n^{2}$ d) $4 m^{3} n^{2}$

Discussion

8481.	If m=2 and n=3, what is the value of the first term in m2+n2+2mn?
Answer» If $m = 2$ and $n = 3,$ what is the value of the first term in $m^{2} + n^{2} + 2 m n ?$

Discussion

8482.

Question 2 (iv) Express as rupees using decimals: 50 paise

Answer»

Question 2 (iv)

Express as rupees using decimals:
50 paise

Discussion

8483.	Simplify {16(−2)−13(−3)}÷15(−2)
Answer» Simplify ${\frac{1}{6^{(- 2)}} - \frac{1}{3^{(- 3)}}} \div \frac{1}{5^{(- 2)}}$

Discussion

8484.	Write the coefficients and terms of the algebraic expression 10x2−5x−6. Also, find the value of the expression at x=2. [2 MARKS]
Answer» Write the coefficients and terms of the algebraic expression $10 x^{2} - 5 x - 6$ . Also, find the value of the expression at $x = 2$ . [2 MARKS]

Discussion

8485.	Question 6(iii) In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
Answer» Question 6(iii) In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?

Discussion

8486.	Question 86 (iii) Find the reciprocal of the following: 313÷−465
Answer» Question 86 (iii) Find the reciprocal of the following: $\frac{3}{13} \div \frac{- 4}{65}$

8486.

Question 86 (iii) Find the reciprocal of the following: 313÷−465

Answer»

Question 86 (iii)

Find the reciprocal of the following:
$\frac{3}{13} \div \frac{- 4}{65}$

Discussion

8487.	Represent 5 on the number line.
Answer» Represent $\sqrt{5}$ on the number line.

Discussion

8488.	Find angle x.
Answer» Find angle x.

8488.

Find angle x.

Answer»

Find angle x.

Discussion

8489.	What is area of a circle whose diameter is 14 m? (use π=227) sq. m
Answer» What is area of a circle whose diameter is 14 m? $(use π = \frac{22}{7})$ sq. m

Discussion

8490.	Draw the number line and represent the following rational numbers on it:(i) 34 (ii) −58 (iii) −74 (iv) 78
Answer» Draw the number line and represent the following rational numbers on it: (i) $\frac{3}{4}$ (ii) $\frac{- 5}{8}$ (iii) $\frac{- 7}{4}$ (iv) $\frac{7}{8}$

8490.

Draw the number line and represent the following rational numbers on it:(i) 34 (ii) −58 (iii) −74 (iv) 78

Answer»

Draw the number line and represent the following rational numbers on it:

(i) $\frac{3}{4}$ (ii) $\frac{- 5}{8}$ (iii) $\frac{- 7}{4}$ (iv) $\frac{7}{8}$

Discussion

8491.	Find the area of the red triangle in terms of x, if the black quadrilateral is a rectangle.
Answer» Find the area of the red triangle in terms of x, if the black quadrilateral is a rectangle.

Discussion

8492.	Solve the following:The amount available to be distributed among 9 students who have secured first place in sports is Rs.678.60. What is the amount each student gets?
Answer» Solve the following: The amount available to be distributed among 9 students who have secured first place in sports is Rs.678.60. What is the amount each student gets?

8492.

Solve the following:The amount available to be distributed among 9 students who have secured first place in sports is Rs.678.60. What is the amount each student gets?

Answer»

Solve the following:

The amount available to be distributed among 9 students who have secured first place in sports is Rs.678.60. What is the amount each student gets?

Discussion

8493.	The number −157 on the number line will be represented between
Answer» The number $- \frac{15}{7}$ on the number line will be represented between

Discussion

8494.	Trouve la question:1. Oui , j'aime beaucoup le football.2. Le billet d'avion coûte 500 Euros .3. En été, en France, il fait beau .4. Elle est absente parce qu'elle ne va pas bien .5. M. Dupont sort avec sa famille .
Answer» Trouve la question: 1. Oui , j'aime beaucoup le football. 2. Le billet d'avion coûte 500 Euros . 3. En été, en France, il fait beau . 4. Elle est absente parce qu'elle ne va pas bien . 5. M. Dupont sort avec sa famille .

Discussion

8495.	What is the fourth proportional to 5, 16 , 10 ?
Answer» What is the fourth proportional to 5, 16 , 10 ?

Discussion

8496.

Rekha made a frequency distribution table on the number of seeds she found in different fruits as shown below: Number of seeds Frequency Tally Marks 1 3 ||| 2 2 || 3 A |||| 4 4 |||| 5 1 | What number should fill the place of A?

Answer» Rekha made a frequency distribution table on the number of seeds she found in different fruits as shown below:

Number of seeds	Frequency	Tally Marks
1	3	\|\|\|
2	2	\|\|
3	A	\|\|\|\|
4	4	\|\|\|\|
5	1	\|

What number should fill the place of A?

Discussion

8497.	We have two inequalitites:6y+3<2y+175x−8>4x−2Which among x and y has a greater value?
Answer» We have two inequalitites: $6 y + 3 < 2 y + 17 5 x - 8 > 4 x - 2$ Which among $x$ and $y$ has a greater value?

Discussion

8498.	Find the sum of: –312, 39 and 192
Answer» Find the sum of: –312, 39 and 192

Discussion

8499.	In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.
Answer» In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ Q$ and $∠ B = ∠ R$ . which side of a $Δ P Q R$ should be equal to side AB of $Δ A B C$ , so that the two triangles are congruent? Give reason for your answer.

Discussion

8500.

Solve the following.There are 25,000 books in a library. If 15% of them are reference books, find the number of reference books in the library.

Answer»

Solve the following.

There are 25,000 books in a library. If 15% of them are reference books, find the number of reference books in the library.

Discussion

Explore topic-wise InterviewSolutions in .

Question 46 The reciprocal of an improper fraction is an improper fraction

If a * b denotes the larger of 'a' and 'b' and if aob = (a * b) + 3, then write the value of (5) o (10), where * and o are binary operations.

An exterior angle of a triangle is 115∘ and one of the opposite angles is 35∘. Find the other two angles. [3 MARKS]

6. Six bells commence tolling together and toll at intervals of 2,4,6,8,10,12 minutes respectively.In 30 hours , how many times do they toll together?

A clock manufacturer decreases the price of a particular model by 6% each year. If the current price of the model is ₹4,500, then what would be the price after 2 years?

A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?

Fill in the blanks:(–8) + ___ = 0

∫(2x+5)10-4x-3x2dx

There are 200 bulbs in a box. If 45 % of the bulbs are green; the number of green bulbs are ____.

Study the Joint Bar Graph and find the difference between the number of boys who like basketball and soccer.

If area of a square is equal to area of a rectangle whose length and breadth are 9 cm and 4 cm respectively, then find the perimeter of the square.

Factorise 18x3y3−27x2y3+36x3y2.

Solve using suitable property, state the property used.8 x 5 x 125 x 20 x 6

A man invested 2/5 of his capital at 8% p.a., 3/8 of his capital at 10% p.a. and the remaining at 12% p.a. If his annual income at simple interest is Rs 965, then his capital is (a) Rs 8000(b) Rs 9000(c) Rs 10000(d) Rs 11000

What is the name of a twelve-sided polygon?

Observe the rectangle given below If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

300 is divided into two parts such that half of one part is less than the other by 48. Find the two parts.

The cost of an article is ₹15500 and ₹450 is spent on its repair. If the article is sold at a profit of 15%, then what is the selling price of the article?

The components in a segment are_________.

the temperature at 12 noon was 10 degree celcius above zero . if it decreases at the rate of 2 degrees celcius per hour until midnight , at what time would the temperature be 8 degree celius below zero ? what would be the temperature at midnight ?

Question 3If ΔABC≅ΔFED under the correspondence ABC↔FED, write all the corresponding congruent parts of the triangles.

Find the value of x. Write the measure of BOC. 2x-10 and 3x plus 20 degrees

Mark the correct alternative in the following question:How many envelopes can be made out of a sheet of paper 72 cm by 48 cm, if each envelope requires a paper of size 18 cm by 12 cm?(a) 4 (b) 8 (c) 12 (d) 16

Creditors on 1st April, 2017 were ₹15,000, Purchases on credit were ₹30,000, Cash paid to Creditors during 2017-18 was ₹20,000, Returns Outward (regarding credit purchases) were ₹1,000 and Bills Payable accepted during the year ₹10,000. Find the balance of Creditors on 31st March, 2018.

Which of the pairs given in options will add up to give 9x+5y?

The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics. While Germany won 7 bronze medals, how many silver medals did they win?

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

Maximum number of points of intersection of n straight lines if n satisfies n+5Pn+1=11(n−1)2× n+3Pn is

Question 6Like term as 4m3n2 isa) 4m2n2b) −6m3n2c) 6pm3n2d) 4m3n2

If m=2 and n=3, what is the value of the first term in m2+n2+2mn?

Question 2 (iv) Express as rupees using decimals: 50 paise

Simplify {16(−2)−13(−3)}÷15(−2)

Write the coefficients and terms of the algebraic expression 10x2−5x−6. Also, find the value of the expression at x=2. [2 MARKS]

Question 86 (iii) Find the reciprocal of the following: 313÷−465

Represent 5 on the number line.

Find angle x.

What is area of a circle whose diameter is 14 m? (use π=227) sq. m

Draw the number line and represent the following rational numbers on it:(i) 34 (ii) −58 (iii) −74 (iv) 78

Find the area of the red triangle in terms of x, if the black quadrilateral is a rectangle.

Solve the following:The amount available to be distributed among 9 students who have secured first place in sports is Rs.678.60. What is the amount each student gets?

The number −157 on the number line will be represented between

Trouve la question:1. Oui , j'aime beaucoup le football.2. Le billet d'avion coûte 500 Euros .3. En été, en France, il fait beau .4. Elle est absente parce qu'elle ne va pas bien .5. M. Dupont sort avec sa famille .

What is the fourth proportional to 5, 16 , 10 ?

Rekha made a frequency distribution table on the number of seeds she found in different fruits as shown below: Number of seeds Frequency Tally Marks 1 3 ||| 2 2 || 3 A |||| 4 4 |||| 5 1 | What number should fill the place of A?

We have two inequalitites:6y+3&lt;2y+175x−8&gt;4x−2Which among x and y has a greater value?

Find the sum of: –312, 39 and 192

In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.

Solve the following.There are 25,000 books in a library. If 15% of them are reference books, find the number of reference books in the library.

We have two inequalitites:6y+3<2y+175x−8>4x−2Which among x and y has a greater value?