19743 + Interview Questions in Mathematics Page 203 InterviewSolution

10101.	A sum of money lent at simple interest amounts to Rs 783 in 2 years and to Rs 837 in 3 years. Find the sum and the rate per cent per annum
Answer» A sum of money lent at simple interest amounts to Rs 783 in 2 years and to Rs 837 in 3 years. Find the sum and the rate per cent per annum

Discussion

10102.

Draw a bar graph for the given dataAnimal Life span (years) Man 100 Elephant 60 Cow 20 Goat 10

Answer»

Draw a bar graph for the given data

Animal		Life span (years)
Man		100
Elephant		60
Cow		20
Goat		10

Discussion

10103.	The unit digit of the square of a number whose unit digit is 5, is ___ .
Answer» The unit digit of the square of a number whose unit digit is 5, is ___ .

Discussion

10104.	Match the like terms.
Answer» Match the like terms.

Discussion

10105.	A closed figure which has three sides is called ____.
Answer» A closed figure which has three sides is called ____.

Discussion

10106.	Proof of allied angles
Answer» Proof of allied angles

Discussion

10107.	Divide 15.225 by 0.35.
Answer» Divide 15.225 by 0.35.

Discussion

10108.	How many cubes will you remove from 3×3×3 rubik's cube of side length 3cm to make it a 2×2×2 cube. [3 MARKS]
Answer» How many cubes will you remove from $3 \times 3 \times 3$ rubik's cube of side length 3cm to make it a $2 \times 2 \times 2$ cube. [3 MARKS]

10108.

How many cubes will you remove from 3×3×3 rubik's cube of side length 3cm to make it a 2×2×2 cube. [3 MARKS]

Answer»

How many cubes will you remove from $3 \times 3 \times 3$ rubik's cube of side length 3cm to make it a $2 \times 2 \times 2$ cube. [3 MARKS]

Discussion

10109.	Question 107Solve the followingA steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.
Answer» Question 107 Solve the following A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

10109.

Question 107Solve the followingA steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

Answer»

Question 107

Solve the following

A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

Discussion

10110.	Question 44Fill in the blanks to make the statements true.Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___
Answer» Question 44 Fill in the blanks to make the statements true. Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___

10110.

Question 44Fill in the blanks to make the statements true.Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___

Answer»

Question 44

Fill in the blanks to make the statements true.

Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___

Discussion

10111.	463.5 should be divided by _____ to get 4.635.
Answer» 463.5 should be divided by _____ to get 4.635.

Discussion

10112.	Question 1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).
Answer» Question 1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

Discussion

10113.	The ratio of weights of zinc and copper in an alloy is 5:8. If the weight of copper in a sample of this alloy is 12 g, what is the weight of zinc?
Answer» The ratio of weights of zinc and copper in an alloy is 5:8. If the weight of copper in a sample of this alloy is 12 g, what is the weight of zinc?

Discussion

10114.	If 5:6 is converted into percentage, then it will be equal toa) 120% b) 54.5%c) 83.3% d) 45.5
Answer» If 5:6 is converted into percentage, then it will be equal to a) 120% b) 54.5% c) 83.3% d) 45.5

Discussion

10115.	Express 0.00018 in standard form.
Answer» Express 0.00018 in standard form.

Discussion

10116.	Baichung's father is 26 year younger than Baichung's grandfather and 29 year older than Baichung. The sum of the ages of all three is 135 years. What is the age of each one of them?
Answer» Baichung's father is 26 year younger than Baichung's grandfather and 29 year older than Baichung. The sum of the ages of all three is 135 years. What is the age of each one of them?

Discussion

10117.	Prove the following identities : (i)(a+b)3=a3+b3+3a2b+3b2a (ii)(a−b)3=a3−b3−3a2b+3b2a [4 MARKS]
Answer» Prove the following identities : $(i) {(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 b^{2} a$ $(i i) {(a - b)}^{3} = a^{3} - b^{3} - 3 a^{2} b + 3 b^{2} a$ [4 MARKS]

10117.

Prove the following identities : (i)(a+b)3=a3+b3+3a2b+3b2a (ii)(a−b)3=a3−b3−3a2b+3b2a [4 MARKS]

Answer»

Prove the following identities :

$(i) {(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 b^{2} a$

$(i i) {(a - b)}^{3} = a^{3} - b^{3} - 3 a^{2} b + 3 b^{2} a$ [4 MARKS]

Discussion

10118.	Question 147Stretching MachineSuppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick. Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?
Answer» Question 147 Stretching Machine Suppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick. Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?

10118.

Question 147Stretching MachineSuppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick. Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?

Answer»

Question 147

Stretching Machine

Suppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick.

Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?

Discussion

10119.	Simplify 52×53
Answer» Simplify $5^{2} \times 5^{3}$

Discussion

10120.	4 2x/(x+1)
Answer» 4 2x/(x+1)<9x/(x+1)

Discussion

10121.	The common factors of 75, 60 and 210 are:-
Answer» The common factors of 75, 60 and 210 are:-

Discussion

10122.	Fill the blank with a suitable sign:79 _____ 59
Answer» Fill the blank with a suitable sign: $\frac{7}{9}$ _____ $\frac{5}{9}$

Discussion

10123.	Evaluate (22)216
Answer» Evaluate $\frac{(2^{2})^{2}}{16}$

Discussion

10124.	if length of the two segments of focal chord to the parabola y^2=8ax are 2 and 4,then the value of a isa)1/3b)2/3c)4/3d)4
Answer» if length of the two segments of focal chord to the parabola y^2=8ax are 2 and 4,then the value of a is a)1/3 b)2/3 c)4/3 d)4

Discussion

10125.	Find the value of x in the following expression:5x - 1>x + 5
Answer» Find the value of x in the following expression: $5x - 1 > x + 5$

Discussion

10126.	Question 106 Draw the nets of the following: i) Triangular prism ii) Tetrahedron iii) Cuboid
Answer» Question 106 Draw the nets of the following: i) Triangular prism ii) Tetrahedron iii) Cuboid

10126.

Question 106 Draw the nets of the following: i) Triangular prism ii) Tetrahedron iii) Cuboid

Answer»

Question 106
Draw the nets of the following:

i) Triangular prism
ii) Tetrahedron
iii) Cuboid

Discussion

10127.	The value of (0.4)2+(0.3)2 cannot be
Answer» The value of $(0.4)^{2} + (0.3)^{2}$ cannot be

Discussion

10128.	Mark the correct alternative in the following question:The sum of three consecutive odd numbers is 81. The middle number is(a) 25 (b) 27 (c) 31 (d) 29
Answer» Mark the correct alternative in the following question: The sum of three consecutive odd numbers is 81. The middle number is (a) 25 (b) 27 (c) 31 (d) 29

Discussion

10129.	Question 5 (i) Find 2.5 × 0.3
Answer» Question 5 (i) Find 2.5 $\times$ 0.3

Discussion

10130.	(1) 42 + 24 − 32 (2) 33 − 22 + 20 (3) 53 − 22 + 40 (4) 61 + 50 − 41 (5) (−2)2 + 12 − 22
Answer» (1) 4² + 2⁴− 3² (2) 3³ − 2²+ 2⁰ (3) 5³ − 2² + 4⁰ (4) 6¹ + 5⁰ − 4¹ (5) (−2)² + 1² − 2²

10130.

(1) 42 + 24 − 32 (2) 33 − 22 + 20 (3) 53 − 22 + 40 (4) 61 + 50 − 41 (5) (−2)2 + 12 − 22

Answer»

(1) 4² + 2⁴− 3²

(2) 3³ − 2²+ 2⁰

(3) 5³ − 2² + 4⁰

(4) 6¹ + 5⁰ − 4¹

(5) (−2)² + 1² − 2²

Discussion

10131.	The cefficient of z in the term "−kcz2" is:
Answer» The cefficient of $z$ in the term " $- k c z^{2}$ " is:

Discussion

10132.	The correct interval representation for the set A={x:−4<x≤4} is given by
Answer» The correct interval representation for the set $A = {x : - 4 < x \leq 4}$ is given by

Discussion

10133.	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.

10133.

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

10134.	Aman and Harsh were partners in a firm. They decided to dissolve their firm. Pass necessary Journal entries for the following after various assets (other than Cash and Bank) and third party liabilities have been transferred to Realisation Account:(a) There was furniture worth ₹ 50,000. Aman took over 50% of the furniture at 10% discount and the remaining furniture was sold at 30% profit on book value.(b) Profit and Loss Account was showing a credit balance of ₹ 15,000 on the date of dissolution.(c) Harsh's loan of ₹ 6,000 was discharged at ₹ 6,200.(d) The firm paid realisation expenses amounting to ₹ 5,000 on behalf of Harsh who had to bear these expenses.(e) There was a bill for 1,200 under discount. The bill was received from Soham who proved insolvent and a first and final dividend of 25% was received from his estate.(f) Creditors, to whom the firm owed ₹ 6,000, accepted stock of ₹ 5,000 at a discount of 5% and the balance in cash.
Answer» Aman and Harsh were partners in a firm. They decided to dissolve their firm. Pass necessary Journal entries for the following after various assets (other than Cash and Bank) and third party liabilities have been transferred to Realisation Account: (a) There was furniture worth ₹ 50,000. Aman took over 50% of the furniture at 10% discount and the remaining furniture was sold at 30% profit on book value. (b) Profit and Loss Account was showing a credit balance of ₹ 15,000 on the date of dissolution. (c) Harsh's loan of ₹ 6,000 was discharged at ₹ 6,200. (d) The firm paid realisation expenses amounting to ₹ 5,000 on behalf of Harsh who had to bear these expenses. (e) There was a bill for 1,200 under discount. The bill was received from Soham who proved insolvent and a first and final dividend of 25% was received from his estate. (f) Creditors, to whom the firm owed ₹ 6,000, accepted stock of ₹ 5,000 at a discount of 5% and the balance in cash.

Discussion

10135.	The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is __________.
Answer» The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is __________.

Discussion

10136.	Answer the following(1) Write the set of Natural numbers.(2) Write the symbol of denote Whole numbers.(3) Which is the least Natural number?(4) What are the two main features of the number line?
Answer» Answer the following (1) Write the set of Natural numbers. (2) Write the symbol of denote Whole numbers. (3) Which is the least Natural number? (4) What are the two main features of the number line?

10136.

Answer the following(1) Write the set of Natural numbers.(2) Write the symbol of denote Whole numbers.(3) Which is the least Natural number?(4) What are the two main features of the number line?

Answer»

Answer the following

(1) Write the set of Natural numbers.

(2) Write the symbol of denote Whole numbers.

(3) Which is the least Natural number?

(4) What are the two main features of the number line?

Discussion

10137.	In the figure given below, find the value of y.
Answer» In the figure given below, find the value of y.

Discussion

10138.	A company puts a code on each different product they sell. The code is made up of 2 numbers and 1 letter. How many different codes are possible?
Answer» A company puts a code on each different product they sell. The code is made up of 2 numbers and 1 letter. How many different codes are possible?

Discussion

10139.	If x is a solution of the algebraic equation x7−5=10, then x=
Answer» If $x$ is a solution of the algebraic equation $\frac{x}{7} - 5 = 10$ , then $x =$

Discussion

10140.	Let a1, a2 .a3, be a sequence of real numberssuch that the sum of every 5 consecutive terms ispositive whereas the sum of every 9 consecutiveterms is negative. The sequence can have at most(2) 14 terms(1) 9 terms(4) 12 terms3) 13 terms
Answer» Let a1, a2 .a3, be a sequence of real numberssuch that the sum of every 5 consecutive terms ispositive whereas the sum of every 9 consecutiveterms is negative. The sequence can have at most(2) 14 terms(1) 9 terms(4) 12 terms3) 13 terms

Discussion

10141.	Name the smallest whole number.
Answer» Name the smallest whole number.

Discussion

10142.	The ratio of the area of a smaller circle to the bigger circle is 1:4. Find the ratio of radius of smaller circle to the bigger circle.
Answer» The ratio of the area of a smaller circle to the bigger circle is 1:4. Find the ratio of radius of smaller circle to the bigger circle.

Discussion

10143.	Denny has an option of choosing one coupon while purchaing a smartphone priced at $1200 online. Which coupon should she choose in order to get the best deal ?
Answer» Denny has an option of choosing one coupon while purchaing a smartphone priced at $$ 1200$ online. Which coupon should she choose in order to get the best deal ?

Discussion

10144.	Fill inthe blanks:(a) (b) (c) (d) (e) (f) (g) (h)
Answer» Fill in the blanks: (a) (b) (c) (d) (e) (f) (g) (h)

10144.

Fill inthe blanks:(a) (b) (c) (d) (e) (f) (g) (h)

Answer»

Fill in
the blanks:

(a) (b)

(c) (d)

(e) (f)

(g) (h)

Discussion

10145.	(a) Construct 3equations starting with x = 2(b) Construct 3equations starting with x = − 2
Answer» (a) Construct 3 equations starting with x = 2 (b) Construct 3 equations starting with x = − 2

10145.

(a) Construct 3equations starting with x = 2(b) Construct 3equations starting with x = − 2

Answer»

(a) Construct 3
equations starting with x = 2

(b) Construct 3
equations starting with x = − 2

Discussion

10146.	A caution sign is shown in the given figure. It consists of two equilateral triangles. Find the area of the region painted in red. [Use √3=1.732]
Answer» A caution sign is shown in the given figure. It consists of two equilateral triangles. Find the area of the region painted in red. [Use $\sqrt{3} = 1.732$ ]

10146.

A caution sign is shown in the given figure. It consists of two equilateral triangles. Find the area of the region painted in red. [Use √3=1.732]

Answer»

A caution sign is shown in the given figure. It consists of two equilateral triangles. Find the area of the region painted in red. [Use $\sqrt{3} = 1.732$ ]

Discussion

10147.	The value of expression (18)2×(5)2 is
Answer» The value of expression $(18)^{2} \times (5)^{2}$ is

Discussion

10148.	Question 11If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:(A) 3 and 5(B) 5 and 3(C) 3 and 1(D) –1 and –3
Answer» Question 11 If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively: (A) 3 and 5 (B) 5 and 3 (C) 3 and 1 (D) –1 and –3

Discussion

10149.	Question 3(a) Solve the following equations: 4=5(p-2)
Answer» Question 3(a) Solve the following equations: 4=5(p-2)

Discussion

10150.	The sum of two numbers is 1000 and the difference between their square is 256000. Find the numbers.
Answer» The sum of two numbers is $1000$ and the difference between their square is $256000$ . Find the numbers.

Discussion

Explore topic-wise InterviewSolutions in .

A sum of money lent at simple interest amounts to Rs 783 in 2 years and to Rs 837 in 3 years. Find the sum and the rate per cent per annum

Draw a bar graph for the given dataAnimal Life span (years) Man 100 Elephant 60 Cow 20 Goat 10

The unit digit of the square of a number whose unit digit is 5, is ___ .

Match the like terms.

A closed figure which has three sides is called ____.

Proof of allied angles

Divide 15.225 by 0.35.

How many cubes will you remove from 3×3×3 rubik's cube of side length 3cm to make it a 2×2×2 cube. [3 MARKS]

Question 107Solve the followingA steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

Question 44Fill in the blanks to make the statements true.Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ___

463.5 should be divided by _____ to get 4.635.

Question 1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

The ratio of weights of zinc and copper in an alloy is 5:8. If the weight of copper in a sample of this alloy is 12 g, what is the weight of zinc?

If 5:6 is converted into percentage, then it will be equal toa) 120% b) 54.5%c) 83.3% d) 45.5

Express 0.00018 in standard form.

Baichung's father is 26 year younger than Baichung's grandfather and 29 year older than Baichung. The sum of the ages of all three is 135 years. What is the age of each one of them?

Prove the following identities : (i)(a+b)3=a3+b3+3a2b+3b2a (ii)(a−b)3=a3−b3−3a2b+3b2a [4 MARKS]

Question 147Stretching MachineSuppose you have a stretching machine which could stretch almost anything. e.g. If you put a 5 m stick into a (x 4) stretching machine (as shown below), you get a 20 m stick. Now, if you put 10 cm carrot into a (x 4) machine, how long will it be when it comes out ?

Simplify 52×53

4 2x/(x+1)

The common factors of 75, 60 and 210 are:-

Fill the blank with a suitable sign:79 _____ 59

Evaluate (22)216

if length of the two segments of focal chord to the parabola y^2=8ax are 2 and 4,then the value of a isa)1/3b)2/3c)4/3d)4

Find the value of x in the following expression:5x - 1&gt;x + 5

Question 106 Draw the nets of the following: i) Triangular prism ii) Tetrahedron iii) Cuboid

The value of (0.4)2+(0.3)2 cannot be

Mark the correct alternative in the following question:The sum of three consecutive odd numbers is 81. The middle number is(a) 25 (b) 27 (c) 31 (d) 29

Question 5 (i) Find 2.5 × 0.3

(1) 42 + 24 − 32 (2) 33 − 22 + 20 (3) 53 − 22 + 40 (4) 61 + 50 − 41 (5) (−2)2 + 12 − 22

The cefficient of z in the term "−kcz2" is:

The correct interval representation for the set A={x:−4&lt;x≤4} is given by

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.

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is __________.

Answer the following(1) Write the set of Natural numbers.(2) Write the symbol of denote Whole numbers.(3) Which is the least Natural number?(4) What are the two main features of the number line?

In the figure given below, find the value of y.

A company puts a code on each different product they sell. The code is made up of 2 numbers and 1 letter. How many different codes are possible?

If x is a solution of the algebraic equation x7−5=10, then x=

Let a1, a2 .a3, be a sequence of real numberssuch that the sum of every 5 consecutive terms ispositive whereas the sum of every 9 consecutiveterms is negative. The sequence can have at most(2) 14 terms(1) 9 terms(4) 12 terms3) 13 terms

Name the smallest whole number.

The ratio of the area of a smaller circle to the bigger circle is 1:4. Find the ratio of radius of smaller circle to the bigger circle.

Denny has an option of choosing one coupon while purchaing a smartphone priced at $1200 online. Which coupon should she choose in order to get the best deal ?

Fill inthe blanks:(a) (b) (c) (d) (e) (f) (g) (h)

(a) Construct 3equations starting with x = 2(b) Construct 3equations starting with x = − 2

A caution sign is shown in the given figure. It consists of two equilateral triangles. Find the area of the region painted in red. [Use √3=1.732]

The value of expression (18)2×(5)2 is

Question 11If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:(A) 3 and 5(B) 5 and 3(C) 3 and 1(D) –1 and –3

Question 3(a) Solve the following equations: 4=5(p-2)

The sum of two numbers is 1000 and the difference between their square is 256000. Find the numbers.

Find the value of x in the following expression:5x - 1>x + 5

The correct interval representation for the set A={x:−4<x≤4} is given by

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.