19743 + Interview Questions in Mathematics

1.	The triangle ABC is given below : AC = 5 cm and AB = 6 cm. If the perimeter of the triangle is 18 cm , then find the ratio AB : BC
Answer» The triangle ABC is given below : AC = 5 cm and AB = 6 cm. If the perimeter of the triangle is 18 cm , then find the ratio AB : BC

1.

The triangle ABC is given below : AC = 5 cm and AB = 6 cm. If the perimeter of the triangle is 18 cm , then find the ratio AB : BC

Answer»

The triangle ABC is given below :

AC = 5 cm and AB = 6 cm. If the perimeter of the triangle is 18 cm , then find the ratio AB : BC

2.	The given expression: 3x2+3y+5z2 +10p+6y+8x2, on simplification gives:
Answer» The given expression: 3x²+3y+5z² +10p+6y+8x², on simplification gives:

Discussion

3.	My granddaughter is 10 years old in 2015. I am 8 more than 6 times her age. I was born in the year
Answer» My granddaughter is 10 years old in 2015. I am 8 more than 6 times her age. I was born in the year

Discussion

4.	What is the measure of an exterior angle of a regular hexagon?
Answer» What is the measure of an exterior angle of a regular hexagon?

Discussion

5.	Question 90 (v) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. 4a2−4ab+b2
Answer» Question 90 (v) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $4 a^{2} - 4 a b + b^{2}$

Discussion

6.	Question 62 In questions 60 to 79, state whether the statements are True or False. 8hr is 50 % of 4 days.
Answer» Question 62 In questions 60 to 79, state whether the statements are True or False. 8hr is 50 % of 4 days.

6.

Question 62 In questions 60 to 79, state whether the statements are True or False. 8hr is 50 % of 4 days.

Answer»

Question 62

In questions 60 to 79, state whether the statements are True or False.
8hr is 50 % of 4 days.

Discussion

7.	CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then
Answer» CD is the median of $Δ$ ABC. If height corresponding to AC in $Δ$ ADC is half of height corresponding to BD in $Δ$ BDC, then

7.

CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then

Answer»

CD is the median of $Δ$ ABC. If height corresponding to AC in $Δ$ ADC is half of height corresponding to BD in $Δ$ BDC, then

Discussion

8.	The number of natural numbers between 15 to 20 is/are ___.
Answer» The number of natural numbers between $15$ to $20$ is/are ___.

Discussion

9.	How many divisors of 21600 are divisible by 10 but not by 15?
Answer» How many divisors of 21600 are divisible by 10 but not by 15?

Discussion

10.	555 can be expressed as
Answer» 555 can be expressed as

Discussion

11.	Two natural numbers p and q are picked from the number line, on which p lies to the right of q. Then, pq is a/an ___.
Answer» Two natural numbers $p$ and $q$ are picked from the number line, on which $p$ lies to the right of $q$ . Then, $\frac{p}{q}$ is a/an ___.

Discussion

12.	The length of the side of a square park is 10 m. Its perimeter is ___ metres.
Answer» The length of the side of a square park is 10 m. Its perimeter is ___ metres.

Discussion

13.	What is a Linear combination?
Answer» What is a Linear combination?

Discussion

14.	The number 5 is added to three times the product of two numbers, m, and n. What is the expression formed? What is the value of the expression if m is 4 and n is 5? [2 MARKS]
Answer» The number 5 is added to three times the product of two numbers, m, and n. What is the expression formed? What is the value of the expression if m is 4 and n is 5? [2 MARKS]

Discussion

15.	In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x∘, find ∠ROT.
Answer» In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ respectively. If $∠ P O S = x^{\circ}$ , find $∠ R O T$ .

15.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x∘, find ∠ROT.

Answer»

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ respectively. If $∠ P O S = x^{\circ}$ , find $∠ R O T$ .

Discussion

16.	If you subtract 4 from a number and multiply the result by 5, you get 20. Find the number.
Answer» If you subtract 4 from a number and multiply the result by 5, you get 20. Find the number.

Discussion

17.	Find the value of x.
Answer» Find the value of x.

17.

Find the value of x.

Answer»

Find the value of x.

Discussion

18.	Question 119 Tell whether each figure has rotational symmetry. Write yes or no.
Answer» Question 119 Tell whether each figure has rotational symmetry. Write yes or no.

18.

Question 119 Tell whether each figure has rotational symmetry. Write yes or no.

Answer»

Question 119
Tell whether each figure has rotational symmetry. Write yes or no.

Discussion

19.	Question 5 Reciprocal of the fraction 23 is (a) 2 (b) 3 (c) 23 (d) 32
Answer» Question 5 Reciprocal of the fraction $\frac{2}{3}$ is (a) 2 (b) 3 (c) $\frac{2}{3}$ (d) $\frac{3}{2}$

19.

Question 5 Reciprocal of the fraction 23 is (a) 2 (b) 3 (c) 23 (d) 32

Answer»

Question 5

Reciprocal of the fraction $\frac{2}{3}$ is

(a) 2
(b) 3
(c) $\frac{2}{3}$
(d) $\frac{3}{2}$

Discussion

20.	Question 43 Fill in the blanks to make the statement true. If x−12=−12, then x = .................
Answer» Question 43 Fill in the blanks to make the statement true. If $x - \frac{1}{2} = - \frac{1}{2},$ then x = .................

20.

Question 43 Fill in the blanks to make the statement true. If x−12=−12, then x = .................

Answer»

Question 43

Fill in the blanks to make the statement true.

If $x - \frac{1}{2} = - \frac{1}{2},$ then x = .................

Discussion

21.	Write the number in the standard form. (I) 7860
Answer» Write the number in the standard form. (I) 7860

21.

Write the number in the standard form. (I) 7860

Answer»

Write the number in the standard form.

(I) 7860

Discussion

22.	Simplify 8×(-15)+8×16 with full example
Answer» Simplify 8×(-15)+8×16 with full example

Discussion

23.	Malti donated 1/20 of her sallery to a widow ashram 1/5 of her sallary was spent on school of the children and 1/5 of her sallary was spent on food after these expenses she was left with Rs21000 . find her montally sallary it is a good habit to donate money to needy people.
Answer» Malti donated 1/20 of her sallery to a widow ashram 1/5 of her sallary was spent on school of the children and 1/5 of her sallary was spent on food after these expenses she was left with Rs21000 . find her montally sallary it is a good habit to donate money to needy people.

Discussion

24.	Find the HCF of 275 and 525 by long division method and reduce 275525 to the simplest form.
Answer» Find the HCF of 275 and 525 by long division method and reduce $\frac{275}{525}$ to the simplest form.

Discussion

25.	Match the following types of fractions with the conditions they represent. Type of Fraction Condition 1. Decimal Fraction a. Denominator is greater than its numerator 2. Vulgar Fraction b. Denominator is less than its numerator 3. Proper Fraction c. Denominator is 10 or higher power of 10 4. Improper Fraction d. Denominator is other than 10, 100, 1000, etc 5. Mixed Fraction e. Consists of an integer and a proper fraction
Answer» Match the following types of fractions with the conditions they represent. Type of Fraction Condition 1. Decimal Fraction a. Denominator is greater than its numerator 2. Vulgar Fraction b. Denominator is less than its numerator 3. Proper Fraction c. Denominator is 10 or higher power of 10 4. Improper Fraction d. Denominator is other than 10, 100, 1000, etc 5. Mixed Fraction e. Consists of an integer and a proper fraction

25.

Match the following types of fractions with the conditions they represent. Type of Fraction Condition 1. Decimal Fraction a. Denominator is greater than its numerator 2. Vulgar Fraction b. Denominator is less than its numerator 3. Proper Fraction c. Denominator is 10 or higher power of 10 4. Improper Fraction d. Denominator is other than 10, 100, 1000, etc 5. Mixed Fraction e. Consists of an integer and a proper fraction

Answer»

Match the following types of fractions with the conditions they represent.

Type of Fraction Condition

1. Decimal Fraction a. Denominator is greater than its numerator

2. Vulgar Fraction b. Denominator is less than its numerator

3. Proper Fraction c. Denominator is 10 or higher power of 10

4. Improper Fraction d. Denominator is other than 10, 100, 1000, etc

5. Mixed Fraction e. Consists of an integer and a proper fraction

Discussion

26.	Visualise 5.28 bar on the number line upto 3 decimals places
Answer» Visualise 5.28 bar on the number line upto 3 decimals places

Discussion

27.	Teacher I have took the printout of byjus imaginarium class 7 In that I have a question. In mathematics, question no 10 Sachin scored twice as many runs as Rahul. Together they scored runs fell to a short of a double half century. How many runs they each one scored
Answer» Teacher I have took the printout of byjus imaginarium class 7 In that I have a question. In mathematics, question no 10 Sachin scored twice as many runs as Rahul. Together they scored runs fell to a short of a double half century. How many runs they each one scored

Discussion

28.	Statements: L K, K © A, A $ W Conclusions: a) W $ L b) L # W
Answer» Statements: L K, K © A, A $ W Conclusions: a) W $ L b) L # W

28.

Statements: L K, K © A, A $ W Conclusions: a) W $ L b) L # W

Answer»

Statements: L K, K © A, A $ W

Conclusions:

a) W $ L

b) L # W

Discussion

29.	Two straight roads cross each other forming a junction. One of the angles at which they intersect is shown in the figure below. Find angle B (in degrees). ___
Answer» Two straight roads cross each other forming a junction. One of the angles at which they intersect is shown in the figure below. Find angle B (in degrees). ___

29.

Two straight roads cross each other forming a junction. One of the angles at which they intersect is shown in the figure below. Find angle B (in degrees). ___

Answer»

Two straight roads cross each other forming a junction. One of the angles at which they intersect is shown in the figure below. Find angle B (in degrees).

___

Discussion

30.	Question 1(a) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. Observe this number line and write the temperature of the places marked on it.
Answer» Question 1(a) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. Observe this number line and write the temperature of the places marked on it.

Discussion

31.	The sum of two consecutive angles is 90°. Find the angles.
Answer» The sum of two consecutive angles is 90°. Find the angles.

Discussion

32.	A regular pentagon has
Answer» A regular pentagon has

32.

A regular pentagon has

Answer»

A regular pentagon has

Discussion

33.	If (x+1x)3=3 then find the value of x206+x200+x90+x84+x18+x12+x6+1
Answer» If ${(\frac{x + 1}{x})}^{3} = 3$ then find the value of $x^{206} + x^{200} + x^{90} + x^{84} + x^{18} + x^{12} + x^{6} + 1$

Discussion

34.	What is the square of 84?7056
Answer» What is the square of 84? 7056

Discussion

35.	Find the solution set such that xϵN and 4x+1<9
Answer» Find the solution set such that $x ϵ N$ and $4 x + 1 < 9$

Discussion

36.	Number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by
Answer» Number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by

Discussion

37.	Convert the given decimals to percentage. a) 0.65 b) 2.1
Answer» Convert the given decimals to percentage. a) $0.65$ b) $2.1$

37.

Convert the given decimals to percentage. a) 0.65 b) 2.1

Answer»

Convert the given decimals to percentage.
a) $0.65$

b) $2.1$

Discussion

38.	Which of the following shows 114 and 258 on a number line?
Answer» Which of the following shows $1 \frac{1}{4}$ and $2 \frac{5}{8}$ on a number line?

Discussion

39.	The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ cm2
Answer» The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ $c m^{2}$

Discussion

40.	The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is
Answer» The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is

Discussion

41.	The value of (33×23×50) is:
Answer» The value of $(3^{3} \times 2^{3} \times 5^{0})$ is:

Discussion

42.	Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What fraction of chocolates has she eaten?
Answer» Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What fraction of chocolates has she eaten?

Discussion

43.	If x % y = x + y - xy, then 13 % 7 = __
Answer» If x % y = x + y - xy, then 13 % 7 = __

Discussion

44.	If the cost of 525 litres of milk is 10114, what is its cost per litre ?
Answer» If the cost of $5 \frac{2}{5}$ litres of milk is $101 \frac{1}{4}$ , what is its cost per litre ?

Discussion

45.	Draw a line, say AB. Take a point C outside it. Through C, draw a line parallel to AB using ruler and compass only. [4 MARKS]
Answer» Draw a line, say AB. Take a point C outside it. Through C, draw a line parallel to AB using ruler and compass only. [4 MARKS]

Discussion

46.	Out of the total income he spends 25% on house rent and 60% of the rest on household expenses. If he saves rupees 2100. What is his total income?
Answer» Out of the total income he spends $25 %$ on house rent and $60 %$ of the rest on household expenses. If he saves rupees $2100$ . What is his total income?

Discussion

47.	Question 6 (iv) Which of the following pairs represent the same rational numbers: −35 and −1220
Answer» Question 6 (iv) Which of the following pairs represent the same rational numbers: $\frac{- 3}{5} a n d \frac{- 12}{20}$

47.

Question 6 (iv) Which of the following pairs represent the same rational numbers: −35 and −1220

Answer»

Question 6 (iv)

Which of the following pairs represent the same rational numbers:
$\frac{- 3}{5} a n d \frac{- 12}{20}$

Discussion

48.	Question 2 (i) Find the values of unknowns x and y in the following diagram:
Answer» Question 2 (i) Find the values of unknowns x and y in the following diagram:

Discussion

49.	Question 1 (iv) $\frac{9}{{11}} - \frac{4}{{15}}$
Answer» Question 1 (iv) $\frac{9}{{11}} - \frac{4}{{15}}$

Discussion

50.	Question 8 (a) What letters of the English alphabet have reflection symmetry (i.e., symmetry related to mirror reflection ) about: (a) a vertical mirror
Answer» Question 8 (a) What letters of the English alphabet have reflection symmetry (i.e., symmetry related to mirror reflection ) about: (a) a vertical mirror

Discussion

49.	Question 1 (iv) \(\frac{9}{{11}} - \frac{4}{{15}}\)
Answer» Question 1 (iv) \(\frac{9}{{11}} - \frac{4}{{15}}\)

Explore topic-wise InterviewSolutions in Current Affairs.

The triangle ABC is given below : AC = 5 cm and AB = 6 cm. If the perimeter of the triangle is 18 cm , then find the ratio AB : BC

The given expression: 3x2+3y+5z2 +10p+6y+8x2, on simplification gives:

My granddaughter is 10 years old in 2015. I am 8 more than 6 times her age. I was born in the year

What is the measure of an exterior angle of a regular hexagon?

Question 90 (v) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. 4a2−4ab+b2

Question 62 In questions 60 to 79, state whether the statements are True or False. 8hr is 50 % of 4 days.

CD is the median of ΔABC. If height corresponding to AC in ΔADC is half of height corresponding to BD in ΔBDC, then

The number of natural numbers between 15 to 20 is/are ___.

How many divisors of 21600 are divisible by 10 but not by 15?

555 can be expressed as

Two natural numbers p and q are picked from the number line, on which p lies to the right of q. Then, pq is a/an ___.

The length of the side of a square park is 10 m. Its perimeter is ___ metres.

What is a Linear combination?

The number 5 is added to three times the product of two numbers, m, and n. What is the expression formed? What is the value of the expression if m is 4 and n is 5? [2 MARKS]

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x∘, find ∠ROT.

If you subtract 4 from a number and multiply the result by 5, you get 20. Find the number.

Find the value of x.

Question 119 Tell whether each figure has rotational symmetry. Write yes or no.

Question 5 Reciprocal of the fraction 23 is (a) 2 (b) 3 (c) 23 (d) 32

Question 43 Fill in the blanks to make the statement true. If x−12=−12, then x = .................

Write the number in the standard form. (I) 7860

Simplify 8×(-15)+8×16 with full example

Malti donated 1/20 of her sallery to a widow ashram 1/5 of her sallary was spent on school of the children and 1/5 of her sallary was spent on food after these expenses she was left with Rs21000 . find her montally sallary it is a good habit to donate money to needy people.

Find the HCF of 275 and 525 by long division method and reduce 275525 to the simplest form.

Visualise 5.28 bar on the number line upto 3 decimals places

Teacher I have took the printout of byjus imaginarium class 7 In that I have a question. In mathematics, question no 10 Sachin scored twice as many runs as Rahul. Together they scored runs fell to a short of a double half century. How many runs they each one scored

Statements: L K, K © A, A $ W Conclusions: a) W $ L b) L # W

Two straight roads cross each other forming a junction. One of the angles at which they intersect is shown in the figure below. Find angle B (in degrees). ___

Question 1(a) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. Observe this number line and write the temperature of the places marked on it.

The sum of two consecutive angles is 90°. Find the angles.

A regular pentagon has

If (x+1x)3=3 then find the value of x206+x200+x90+x84+x18+x12+x6+1

What is the square of 84?7056

Find the solution set such that xϵN and 4x+1&lt;9

Number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by

Convert the given decimals to percentage. a) 0.65 b) 2.1

Which of the following shows 114 and 258 on a number line?

The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ cm2

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is

The value of (33×23×50) is:

Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What fraction of chocolates has she eaten?

If x % y = x + y - xy, then 13 % 7 = __

If the cost of 525 litres of milk is 10114, what is its cost per litre ?

Draw a line, say AB. Take a point C outside it. Through C, draw a line parallel to AB using ruler and compass only. [4 MARKS]

Out of the total income he spends 25% on house rent and 60% of the rest on household expenses. If he saves rupees 2100. What is his total income?

Question 6 (iv) Which of the following pairs represent the same rational numbers: −35 and −1220

Question 2 (i) Find the values of unknowns x and y in the following diagram:

Question 1 (iv) \(\frac{9}{{11}} - \frac{4}{{15}}\)

Question 8 (a) What letters of the English alphabet have reflection symmetry (i.e., symmetry related to mirror reflection ) about: (a) a vertical mirror

Find the solution set such that xϵN and 4x+1<9