19743 + Interview Questions in Mathematics Page 11 InterviewSolution

501.	Find the measure of y in the given figure.
Answer» Find the measure of y in the given figure.

Discussion

502.	The coefficient of xy2 in (2x−3y)3 is ___ .
Answer» The coefficient of $x y^{2}$ in $(2 x - 3 y)^{3}$ is ___ .

Discussion

503.	If radius of a sphere in simple cube is 3 nm, what will be the edge length of an unit cell?
Answer» If radius of a sphere in simple cube is 3 nm, what will be the edge length of an unit cell?

Discussion

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

Discussion

505.	Which is a pair of integers whose sum gives (a) a negative integer (b) zero (c) an integer smaller than both the integers. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.
Answer» Which is a pair of integers whose sum gives (a) a negative integer (b) zero (c) an integer smaller than both the integers. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.

505.

Which is a pair of integers whose sum gives (a) a negative integer (b) zero (c) an integer smaller than both the integers. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.

Answer»

Which is a pair of integers whose sum gives

(a) a negative integer (b) zero

(c) an integer smaller than both the integers.

(d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.

Discussion

506.	The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.
Answer» The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs.10 per m² is Rs.15000, find the height of the hall.

Discussion

507.	Match the combination of shapes to the corresponding full shape.(Join the shapes along its red line)
Answer» Match the combination of shapes to the corresponding full shape. (Join the shapes along its red line)

Discussion

508.	Question 34State whether the following statement is true (T) or false (F).Shika's present age is p years. Reemu's present age is 4 times the present age of Shikha. After 5 years, Reemu's age will be 15p years.
Answer» Question 34 State whether the following statement is true (T) or false (F). Shika's present age is p years. Reemu's present age is 4 times the present age of Shikha. After 5 years, Reemu's age will be 15p years.

508.

Question 34State whether the following statement is true (T) or false (F).Shika's present age is p years. Reemu's present age is 4 times the present age of Shikha. After 5 years, Reemu's age will be 15p years.

Answer»

Question 34

State whether the following statement is true (T) or false (F).

Shika's present age is p years. Reemu's present age is 4 times the present age of Shikha. After 5 years, Reemu's age will be 15p years.

Discussion

509.	74.In the given figure, if the radius of incircle of triangle PQR is 4 cm, then find the lenght of PQ and QR.
Answer» 74.In the given figure, if the radius of incircle of triangle PQR is 4 cm, then find the lenght of PQ and QR.

Discussion

510.	What is the mode in the following data? 19, 21, 18, 17, 18, 22, 46
Answer» What is the mode in the following data? 19, 21, 18, 17, 18, 22, 46

510.

What is the mode in the following data? 19, 21, 18, 17, 18, 22, 46

Answer»

What is the mode in the following data?

19, 21, 18, 17, 18, 22, 46

Discussion

511.	Simplify the following:(i) 103 × 90 + 33 × 2 + 70(ii) 63 × 70 + (-3)4 – 90
Answer» Simplify the following: (i) 10³ × 9⁰ + 3³ × 2 + 7⁰ (ii) 6³ × 7⁰ + (-3)⁴ – 9⁰

Discussion

512.	If x is a positive real number and exponents are rational numbers, simplifyxbxcb+c-a·xcxac+a-b·xaxba+b-c
Answer» If x is a positive real number and exponents are rational numbers, simplify ${(\frac{x^{b}}{x^{c}})}^{b + c - a} \cdot {(\frac{x^{c}}{x^{a}})}^{c + a - b} \cdot {(\frac{x^{a}}{x^{b}})}^{a + b - c}$

Discussion

513.	If muffins are in packages of six, and you want 300 muffins, then how many packages do you need?
Answer» If muffins are in packages of six, and you want 300 muffins, then how many packages do you need?

Discussion

514.	Find any ten rational numbers between −56 and 58.
Answer» Find any ten rational numbers between $\frac{- 5}{6} a n d \frac{5}{8}$ .

Discussion

515.	8men complete a work in 6hrs. In how many hrs will 12men complete the work.
Answer» 8men complete a work in 6hrs. In how many hrs will 12men complete the work.

Discussion

516.	Select one-third of the given chocolate.
Answer» Select one-third of the given chocolate.

Discussion

517.	Question 3(iii)Add the following:(iii) 2p2q2−3pq+4,5+7pq−3p2q2
Answer» Question 3(iii) Add the following: (iii) $2 p^{2} q^{2} - 3 p q + 4, 5 + 7 p q - 3 p^{2} q^{2}$

Discussion

518.	Fill in the blanks:(1) Product of two negative integers will have ……..sign.(2) Product of two integers with unlike signs will have …….. sign.(3) (+4) × (−5) = ……(4) (+5) × (+3) = …...(5)
Answer» Fill in the blanks: (1) Product of two negative integers will have ……..sign. (2) Product of two integers with unlike signs will have …….. sign. (3) (+4) × (−5) = …… (4) (+5) × (+3) = …... (5)

518.

Fill in the blanks:(1) Product of two negative integers will have ……..sign.(2) Product of two integers with unlike signs will have …….. sign.(3) (+4) × (−5) = ……(4) (+5) × (+3) = …...(5)

Answer»

Fill in the blanks:

(1) Product of two negative integers will have ……..sign.

(2) Product of two integers with unlike signs will have …….. sign.

(3) (+4) × (−5) = ……

(4) (+5) × (+3) = …...

(5)

Discussion

519.	Question 143A playground in the town is in the form of a kite. The perimeter is 106 m. If one of its sides is 23 m, what are the lengths of other three sides?
Answer» Question 143 A playground in the town is in the form of a kite. The perimeter is 106 m. If one of its sides is 23 m, what are the lengths of other three sides?

Discussion

520.	Simplify 49−5×493.
Answer» Simplify $49^{- 5} \times 49^{3}$ .

Discussion

521.	Write the two properties of the following quadrilaterals.(a) rectangle(b) trapezium(c) rhombus
Answer» Write the two properties of the following quadrilaterals. (a) rectangle (b) trapezium (c) rhombus

521.

Write the two properties of the following quadrilaterals.(a) rectangle(b) trapezium(c) rhombus

Answer»

Write the two properties of the following quadrilaterals.

(a) rectangle

(b) trapezium

(c) rhombus

Discussion

522.	Given is the box and whiskers plot of two stores A and B. What is the median price of gadgets in store A and store B respectively?
Answer» Given is the box and whiskers plot of two stores A and B. What is the median price of gadgets in store A and store B respectively?

Discussion

523.	Help Quincy find out which one of the given things has the greatest area.
Answer» Help Quincy find out which one of the given things has the greatest area.

Discussion

524.	Match the following diagrams with their perimeters.
Answer» Match the following diagrams with their perimeters.

Discussion

525.	The length of the side (in m) of a square with an area of 1600 m2 is ___ .
Answer» The length of the side (in m) of a square with an area of 1600 m² is ___ .

Discussion

526.	Consider the figure:If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.
Answer» Consider the figure: If $∠ A = 50^{\circ}$ , $∠ B = 70^{\circ}$ , and $x = 2 y,$ then find the value of $x + 2 y .$

526.

Consider the figure:If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.

Answer»

Consider the figure:

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

Discussion

527.	I am the smallest number which is 3 more than a number which is completely divisible by 15 and 20. Identify me.
Answer» I am the smallest number which is 3 more than a number which is completely divisible by 15 and 20. Identify me.

Discussion

528.	17. Which of the following layering pattern will have a void fraction of 0.260? 1. ABCCBAABC 2.ABBAABBA 3.ABCABCABC 4.ABCAABCA
Answer» 17. Which of the following layering pattern will have a void fraction of 0.260? 1. ABCCBAABC 2.ABBAABBA 3.ABCABCABC 4.ABCAABCA

Discussion

529.	Which of the following figure has exactly two line of symmetry?
Answer» Which of the following figure has exactly two line of symmetry?

529.

Which of the following figure has exactly two line of symmetry?

Answer»

Which of the following figure has exactly two line of symmetry?

Discussion

530.	What should be the selling price of an article that costs ₹20 in order to make a profit of ₹4?
Answer» What should be the selling price of an article that costs ₹20 in order to make a profit of ₹4?

Discussion

531.	If you think of a number from the first 28 natural numbers, what is the probability that the number will be divisible by 6?
Answer» If you think of a number from the first 28 natural numbers, what is the probability that the number will be divisible by 6?

Discussion

532.	If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that correspond to(i) ∠E (ii) ¯¯¯¯¯¯¯¯EF (iii) ∠F (iv) ¯¯¯¯¯¯¯¯¯DF
Answer» If $Δ D E F ≅ Δ B C A,$ write the part(s) of $Δ B C A$ that correspond to (i) $∠ E$ (ii) $¯ ¯¯¯¯¯¯ ¯ E F$ (iii) $∠ F$ (iv) $¯ ¯¯¯¯¯¯¯ ¯ D F$

532.

If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that correspond to(i) ∠E (ii) ¯¯¯¯¯¯¯¯EF (iii) ∠F (iv) ¯¯¯¯¯¯¯¯¯DF

Answer»

If $Δ D E F ≅ Δ B C A,$ write the part(s) of $Δ B C A$ that correspond to

(i) $∠ E$ (ii) $¯ ¯¯¯¯¯¯ ¯ E F$ (iii) $∠ F$ (iv) $¯ ¯¯¯¯¯¯¯ ¯ D F$

Discussion

533.	Tina goes to a shop to buy 3 litres of orange juice for a party. The store sells orange juice only in 250 mL bottles. How many 250 mL bottles does Tina buy?
Answer» Tina goes to a shop to buy 3 litres of orange juice for a party. The store sells orange juice only in 250 mL bottles. How many 250 mL bottles does Tina buy?

Discussion

534.	If each small square covers an area of 1 sq. cm, the difference between the area of the smallest and the biggest stamp is _____ sq. cm.
Answer» If each small square covers an area of 1 sq. cm, the difference between the area of the smallest and the biggest stamp is _____ sq. cm.

Discussion

535.	In the given figure, POQ is a line, then the value of x is
Answer» In the given figure, POQ is a line, then the value of $x$ is

Discussion

536.	The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.
Answer» The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.

Discussion

537.	Divide 293 by 1000000 and express the result in standard form.
Answer» Divide 293 by 1000000 and express the result in standard form.

Discussion

538.	Draw on obtuse angled triangle. Draw all of its medians and show their point of concurrence.
Answer» Draw on obtuse angled triangle. Draw all of its medians and show their point of concurrence.

Discussion

539.	Question 78 (c) Express each fo the following numbers using exponential notations 144875
Answer» Question 78 (c) Express each fo the following numbers using exponential notations $\frac{144}{875}$

539.

Question 78 (c) Express each fo the following numbers using exponential notations 144875

Answer»

Question 78 (c)

Express each fo the following numbers using exponential notations
$\frac{144}{875}$

Discussion

540.	The general solution of 2cos 2x + 1 = 0
Answer» The general solution of 2cos 2x + 1 = 0

Discussion

541.	Consider the figure: If ∠A = 50∘, ∠B = 70∘. Then x+y is equal to (in degrees): __
Answer» Consider the figure: If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ . Then x+y is equal to (in degrees): __

541.

Consider the figure: If ∠A = 50∘, ∠B = 70∘. Then x+y is equal to (in degrees): __

Answer»

Consider the figure:

If $∠$ A = $50^{\circ}$ , $∠$ B = $70^{\circ}$ . Then x+y is equal to (in degrees):

__

Discussion

542.	The value of a man's property is greater than the multiplication of cube and square of properties of A and B respectively. What is the minimum value of his property, if the value of properties A and B are Rs 20 and Rs 400 respectively? The actual value of his property was Rs 2,00,00,00,000 but due to recession, the value of the property decreased by 30%. Find the present value of the property. [4 MARKS]
Answer» The value of a man's property is greater than the multiplication of cube and square of properties of A and B respectively. What is the minimum value of his property, if the value of properties A and B are Rs 20 and Rs 400 respectively? The actual value of his property was Rs 2,00,00,00,000 but due to recession, the value of the property decreased by $30 %$ . Find the present value of the property. [4 MARKS]

Discussion

543.	Solve for x : 12abx2–(9a2−8b2)x–6ab=0
Answer» Solve for x : $12 a b x^{2} - (9 a^{2} - 8 b^{2}) x - 6 a b = 0$

Discussion

544.	By what number should −227 be divided to get −1114?
Answer» By what number should $\frac{- 22}{7}$ be divided to get $\frac{- 11}{14}$ ?

Discussion

545.	In a regular polygon, the ratio of the interior angle to the corresponding exterior angle is 11 : 7. What is the measure of the interior angle?
Answer» In a regular polygon, the ratio of the interior angle to the corresponding exterior angle is 11 : 7. What is the measure of the interior angle?

Discussion

546.

Question 2 (iii) Multiply and reduce to lowest form (if possible): 38×64

Answer»

Question 2 (iii)

Multiply and reduce to lowest form (if possible):

\frac{3}{8} \times \frac{6}{4}

Discussion

547.	Question 6 Write whether the following statement is True or False? Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
Answer» Question 6 Write whether the following statement is True or False? Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Discussion

548.	If 348 = 29 680 = 17 966 = 23 then 861 is equal to ?
Answer» If 348 = 29 680 = 17 966 = 23 then 861 is equal to ?

Discussion

549.	is a rational number between 23 and 45.
Answer» is a rational number between $\frac{2}{3}$ and $\frac{4}{5}$ .

Discussion

550.	Simplifiy (187)+(18(-3))
Answer» Simplifiy (187)+(18(-3))

Discussion

Explore topic-wise InterviewSolutions in .

Find the measure of y in the given figure.

The coefficient of xy2 in (2x−3y)3 is ___ .

If radius of a sphere in simple cube is 3 nm, what will be the edge length of an unit cell?

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

Which is a pair of integers whose sum gives (a) a negative integer (b) zero (c) an integer smaller than both the integers. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.

The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

Match the combination of shapes to the corresponding full shape.(Join the shapes along its red line)

Question 34State whether the following statement is true (T) or false (F).Shika's present age is p years. Reemu's present age is 4 times the present age of Shikha. After 5 years, Reemu's age will be 15p years.

74.In the given figure, if the radius of incircle of triangle PQR is 4 cm, then find the lenght of PQ and QR.

What is the mode in the following data? 19, 21, 18, 17, 18, 22, 46

Simplify the following:(i) 103 × 90 + 33 × 2 + 70(ii) 63 × 70 + (-3)4 – 90

If x is a positive real number and exponents are rational numbers, simplifyxbxcb+c-a·xcxac+a-b·xaxba+b-c

If muffins are in packages of six, and you want 300 muffins, then how many packages do you need?

Find any ten rational numbers between −56 and 58.

8men complete a work in 6hrs. In how many hrs will 12men complete the work.

Select one-third of the given chocolate.

Question 3(iii)Add the following:(iii) 2p2q2−3pq+4,5+7pq−3p2q2

Fill in the blanks:(1) Product of two negative integers will have ……..sign.(2) Product of two integers with unlike signs will have …….. sign.(3) (+4) × (−5) = ……(4) (+5) × (+3) = …...(5)

Question 143A playground in the town is in the form of a kite. The perimeter is 106 m. If one of its sides is 23 m, what are the lengths of other three sides?

Simplify 49−5×493.

Write the two properties of the following quadrilaterals.(a) rectangle(b) trapezium(c) rhombus

Given is the box and whiskers plot of two stores A and B. What is the median price of gadgets in store A and store B respectively?

Help Quincy find out which one of the given things has the greatest area.

Match the following diagrams with their perimeters.

The length of the side (in m) of a square with an area of 1600 m2 is ___ .

Consider the figure:If ∠A=50∘​, ∠B=70∘​, and x=2y, then find the value of x+2y.

I am the smallest number which is 3 more than a number which is completely divisible by 15 and 20. Identify me.

17. Which of the following layering pattern will have a void fraction of 0.260? 1. ABCCBAABC 2.ABBAABBA 3.ABCABCABC 4.ABCAABCA

Which of the following figure has exactly two line of symmetry?

What should be the selling price of an article that costs ₹20 in order to make a profit of ₹4?

If you think of a number from the first 28 natural numbers, what is the probability that the number will be divisible by 6?

If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that correspond to(i) ∠E (ii) ¯¯¯¯¯¯¯¯EF (iii) ∠F (iv) ¯¯¯¯¯¯¯¯¯DF

Tina goes to a shop to buy 3 litres of orange juice for a party. The store sells orange juice only in 250 mL bottles. How many 250 mL bottles does Tina buy?

If each small square covers an area of 1 sq. cm, the difference between the area of the smallest and the biggest stamp is _____ sq. cm.

In the given figure, POQ is a line, then the value of x is

The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.

Divide 293 by 1000000 and express the result in standard form.

Draw on obtuse angled triangle. Draw all of its medians and show their point of concurrence.

Question 78 (c) Express each fo the following numbers using exponential notations 144875

The general solution of 2cos 2x + 1 = 0

Consider the figure: If ∠A = 50∘​, ∠B = 70∘​. Then x+y is equal to (in degrees): __

Solve for x : 12abx2–(9a2−8b2)x–6ab=0

By what number should −227 be divided to get −1114?

In a regular polygon, the ratio of the interior angle to the corresponding exterior angle is 11 : 7. What is the measure of the interior angle?

Question 2 (iii) Multiply and reduce to lowest form (if possible): 38×64

Question 6 Write whether the following statement is True or False?​​​​​​​ Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

If 348 = 29 680 = 17 966 = 23 then 861 is equal to ?

is a rational number between 23 and 45.

Simplifiy (18*7)+(18*(-3))

Consider the figure:If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.

Consider the figure: If ∠A = 50∘, ∠B = 70∘. Then x+y is equal to (in degrees): __

Question 6 Write whether the following statement is True or False? Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Simplifiy (187)+(18(-3))