16437 + Interview Questions in Mathematics Page 109 InterviewSolution

5401.	Find the mode of the following data. Class interval0−1010−2020−3030−4040−50Frequency671197
Answer» Find the mode of the following data. $\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 6 & 7 & 11 & 9 & 7 \end{matrix}$

Discussion

5402.	There is a heap of chocolates. You started counting them as 1,2,3....... The set of numbers obtained are known as
Answer» There is a heap of chocolates. You started counting them as 1,2,3....... The set of numbers obtained are known as

Discussion

5403.	Simplify the following by rationalising the denominator 6−4√36+4√3.
Answer» Simplify the following by rationalising the denominator $\frac{6 - 4 \sqrt{3}}{6 + 4 \sqrt{3}} .$

Discussion

5404.	A bar of chocolate had 5 slices. What fraction of the chocolate was consumed if 2 slices were eaten?
Answer» A bar of chocolate had 5 slices. What fraction of the chocolate was consumed if 2 slices were eaten?

Discussion

5405.	Convert 34 to its simplest form
Answer» Convert $\frac{3}{4}$ to its simplest form

Discussion

5406.	Choose the pair of complementary angles.
Answer» Choose the pair of complementary angles.

Discussion

5407.	Find the area of triangle whose base is 4 cm and height of triangle is 12 cm.
Answer» Find the area of triangle whose base is 4 cm and height of triangle is 12 cm.

Discussion

5408.	In the following figure if O is joined with C then the angle formed is:
Answer» In the following figure if O is joined with C then the angle formed is:

5408.

In the following figure if O is joined with C then the angle formed is:

Answer»

In the following figure if O is joined with C then the angle formed is:

Discussion

5409.	Identify the multiple lines of symmetry for the given figure.
Answer» Identify the multiple lines of symmetry for the given figure.

Discussion

5410.	Convert into decimal fractions:(i) 3710000 (ii) 7543104
Answer» Convert into decimal fractions: (i) $\frac{37}{10000}$ (ii) $\frac{7543}{10^{4}}$

Discussion

5411.	If the area covered by the purple square in the given figure is 2 sq. units, what is the area covered by green region in the figure?
Answer» If the area covered by the purple square in the given figure is 2 sq. units, what is the area covered by green region in the figure?

Discussion

5412.	Prem walks 1 km from school to catch the bus from a nearby station and travels 3 km by bus and gets down and walks 1 km to reach home. What fraction of the total distance does Prem walk?
Answer» Prem walks 1 km from school to catch the bus from a nearby station and travels 3 km by bus and gets down and walks 1 km to reach home. What fraction of the total distance does Prem walk?

Discussion

5413.	In a park there are only men and women. 23 of the peoples are men. What is the ratio of men to women in the park?
Answer» In a park there are only men and women. $\frac{2}{3}$ of the peoples are men. What is the ratio of men to women in the park?

Discussion

5414.	Convert the ratio 24:25 to percentage.
Answer» Convert the ratio $24 : 25$ to percentage.

Discussion

5415.	Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.
Answer» Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.

5415.

Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.

Answer»

Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.

Discussion

5416.	Select the correct representation of a number y which is at least −8.
Answer» Select the correct representation of a number $y$ which is at least $- 8$ .

Discussion

5417.	Draw the perpendicularbisector ofwhoselength is 10.3 cm. (a) Take any point P onthe bisector drawn. Examine whether PX = PY. (b) If M is the midpoint of,what can you say about the lengths MX and XY?
Answer» Draw the perpendicular bisector ofwhose length is 10.3 cm. (a) Take any point P on the bisector drawn. Examine whether PX = PY. (b) If M is the mid point of, what can you say about the lengths MX and XY?

5417.

Draw the perpendicularbisector ofwhoselength is 10.3 cm. (a) Take any point P onthe bisector drawn. Examine whether PX = PY. (b) If M is the midpoint of,what can you say about the lengths MX and XY?

Answer»

Draw the perpendicular
bisector ofwhose
length is 10.3 cm.

(a) Take any point P on
the bisector drawn. Examine whether PX = PY.

(b) If M is the mid
point of,
what can you say about the lengths MX and XY?

Discussion

5418.	The sum of the digits of a two digit number is 12. The tens digit is three times the ones digit. Find the number.93
Answer» The sum of the digits of a two digit number is 12. The tens digit is three times the ones digit. Find the number. 93

Discussion

5419.	Mark the correct alternative in each of the following:Which of the following fractions lies between 23 and 57?(a) 34 (b) 45 (c) 56 (d) None of these
Answer» Mark the correct alternative in each of the following: Which of the following fractions lies between $\frac{2}{3}$ and $\frac{5}{7}$ ? (a) $\frac{3}{4}$ (b) $\frac{4}{5}$ (c) $\frac{5}{6}$ (d) None of these

Discussion

5420.	Find the value of x in 3x−18=−3
Answer» Find the value of $x$ in $3 x - 18 = - 3$

Discussion

5421.	A point C is called the mid-point of a line segment AB if(a) C is an interior point of AB(b) AC = CB(c) C is an interior point of AB, such that AC=CB(d) AC + CB = AB
Answer» A point C is called the mid-point of a line segment $A B$ if (a) C is an interior point of AB (b) AC = CB (c) C is an interior point of AB, such that $A C = C B$ (d) AC + CB = AB

Discussion

5422.	In Fig. 105, if AOB and COD are straight lines. Then, x + y =(a) 120(b) 140(c) 100(d) 160
Answer» In Fig. 105, if AOB and COD are straight lines. Then, x + y = (a) 120 (b) 140 (c) 100 (d) 160

Discussion

5423.	After putting a point in the quotient how many chances do we have of putting zero?
Answer» After putting a point in the quotient how many chances do we have of putting zero?

Discussion

5424.	Which of the following denotes the valid probability of value for any event?
Answer» Which of the following denotes the valid probability of value for any event?

Discussion

5425.	If the measures of the angles of a triangle are (2x)° , (3x − 5)° and (4x − 13)°. Then the value of x is(a) 22(b) 18(c) 20(d) 30
Answer» If the measures of the angles of a triangle are (2x)° , (3x − 5)° and (4x − 13)°. Then the value of x is (a) 22 (b) 18 (c) 20 (d) 30

Discussion

5426.	Two angles are supplementary to each other. One angle is thrice the other. Find the angles.
Answer» Two angles are supplementary to each other. One angle is thrice the other. Find the angles.

Discussion

5427.	Number of solutions of 2x+3y=8 and 3x-4y=10
Answer» Number of solutions of 2x+3y=8 and 3x-4y=10

Discussion

5428.	ntIf a-b and a+b are twin prime ,then a and b are necessaryn ntA) Twin primen ntB) Co primen ntC) Cannot sayn ntD) Nonen
Answer» ntIf a-b and a+b are twin prime ,then a and b are necessaryn ntA) Twin primen ntB) Co primen ntC) Cannot sayn ntD) Nonen

Discussion

5429.	If x+5=10, then the value of 8x−30 is:
Answer» If $x + 5 = 10$ , then the value of $8 x - 30$ is:

Discussion

5430.	An equivalent fraction of 1218:
Answer» An equivalent fraction of $\frac{12}{18}$ :

Discussion

5431.	Solve each of the following quadratic equations:3x2+10x-83=0
Answer» Solve each of the following quadratic equations: $\sqrt{3} x^{2} + 10 x - 8 \sqrt{3} = 0$

Discussion

5432.	What is the smallest number that is completely divisible by 24 and 32?
Answer» What is the smallest number that is completely divisible by $24$ and $32$ ?

Discussion

5433.	if the straight line through the point p (3,4) makes an angle 30 with x axis in the positive direction and meets the line 3x+5y+1=0 at Q, the length pq is
Answer» if the straight line through the point p (3,4) makes an angle 30 with x axis in the positive direction and meets the line 3x+5y+1=0 at Q, the length pq is

Discussion

5434.	Question 54 Look at the figure, Mark a point (a) A, which is the interior of both ∠ 1 and ∠ 2. (b) B, which is the interior of only ∠ 1. (c) C, in the interior of ∠ 1. Now, state whether points B and C lie in the interior of ∠ 2 also.
Answer» Question 54 Look at the figure, Mark a point (a) A, which is the interior of both $∠ 1$ and $∠ 2$ . (b) B, which is the interior of only $∠ 1$ . (c) C, in the interior of $∠ 1$ . Now, state whether points B and C lie in the interior of $∠ 2$ also.

5434.

Question 54 Look at the figure, Mark a point (a) A, which is the interior of both ∠ 1 and ∠ 2. (b) B, which is the interior of only ∠ 1. (c) C, in the interior of ∠ 1. Now, state whether points B and C lie in the interior of ∠ 2 also.

Answer»

Question 54

Look at the figure, Mark a point

(a) A, which is the interior of both $∠ 1$ and $∠ 2$ .

(b) B, which is the interior of only $∠ 1$ .

(c) C, in the interior of $∠ 1$ .

Now, state whether points B and C lie in the interior of $∠ 2$ also.

Discussion

5435.	Write the name of the: a. vertices b. edges and c. faces of the prism shown in the figure. [4 MARKS]
Answer» Write the name of the: a. vertices b. edges and c. faces of the prism shown in the figure. [4 MARKS]

Discussion

5436.	A bag was bought for ₹250 and sold for ₹265. Find loss or profit percent.6
Answer» A bag was bought for ₹250 and sold for ₹265. Find loss or profit percent. 6

Discussion

5437.	If 4.053+2.5−3.64=X, then the value of X equals __.
Answer» If $4.053 + 2.5 - 3.64 = X,$ then the value of X equals __.

Discussion

5438.	If I sell 45th of 10 apples, how many are left?
Answer» If I sell ${\frac{4}{5}}^{t h}$ of $10$ apples, how many are left?

Discussion

5439.	The area of each square is in the given figure is 4 cm2. Find the perimeter of the whole figure in cm. 28
Answer» The area of each square is in the given figure is 4 cm². Find the perimeter of the whole figure in cm. 28

5439.

The area of each square is in the given figure is 4 cm2. Find the perimeter of the whole figure in cm. 28

Answer»

The area of each square is in the given figure is 4 cm². Find the perimeter of the whole figure in cm.

28

Discussion

5440.	If an angle of 30∘ is constructed and its base is extended in the opposite direction, we get a supplementary angle of ___.
Answer» If an angle of $30^{\circ}$ is constructed and its base is extended in the opposite direction, we get a supplementary angle of ___.

Discussion

5441.	What will be the sum of the first 10 Whole Numbers?
Answer» What will be the sum of the first 10 Whole Numbers?

Discussion

5442.	कंठ रुक रहा है, काल आ रहा है- यह भावना कवि के मन में क्यों आई?
Answer» कंठ रुक रहा है, काल आ रहा है- यह भावना कवि के मन में क्यों आई?

Discussion

5443.	Which colour(s) in the given diagram represents a sector of the circle?
Answer» Which colour(s) in the given diagram represents a sector of the circle?

Discussion

5444.	Find the angle between hour hand and minute hand at 05:05 PM.
Answer» Find the angle between hour hand and minute hand at 05:05 PM.

Discussion

5445.	Question 78Draw the net of a regular tetrahedron with side 6 cm.
Answer» Question 78 Draw the net of a regular tetrahedron with side 6 cm.

Discussion

5446.	The prime factorization of 999 is:
Answer» The prime factorization of 999 is:

Discussion

5447.	Write each of the following numerals in International system of numeration:(i) 83254(ii) 457923(iii) 2543876(iv) 700430084
Answer» Write each of the following numerals in International system of numeration: (i) 83254 (ii) 457923 (iii) 2543876 (iv) 700430084

Discussion

5448.	If ΔDEF≅ΔBCA, then the part of Δ that correspond to ∠E is
Answer» If $Δ D E F ≅ Δ B C A$ , then the part of $Δ$ that correspond to $∠ E$ is

Discussion

5449.	a kite in the shape of square with a diagonal 40 cm&isosceles triagel of base 10 cm &equal sides 13 cm,is to be made up of three different shades. how much papaer of each shade has been used to make the kite
Answer» a kite in the shape of square with a diagonal 40 cm&isosceles triagel of base 10 cm &equal sides 13 cm,is to be made up of three different shades. how much papaer of each shade has been used to make the kite

Discussion

5450.	While drawing a three dimensional view of an object, in an oblique sketch we use a angle.
Answer» While drawing a three dimensional view of an object, in an oblique sketch we use a angle.

Discussion

Explore topic-wise InterviewSolutions in .

Find the mode of the following data. Class interval0−1010−2020−3030−4040−50Frequency671197

There is a heap of chocolates. You started counting them as 1,2,3....... The set of numbers obtained are known as

Simplify the following by rationalising the denominator 6−4√36+4√3.

A bar of chocolate had 5 slices. What fraction of the chocolate was consumed if 2 slices were eaten?

Convert 34 to its simplest form

Choose the pair of complementary angles.

Find the area of triangle whose base is 4 cm and height of triangle is 12 cm.

In the following figure if O is joined with C then the angle formed is:

Identify the multiple lines of symmetry for the given figure.

Convert into decimal fractions:(i) 3710000 (ii) 7543104

If the area covered by the purple square in the given figure is 2 sq. units, what is the area covered by green region in the figure?

Prem walks 1 km from school to catch the bus from a nearby station and travels 3 km by bus and gets down and walks 1 km to reach home. What fraction of the total distance does Prem walk?

In a park there are only men and women. 23 of the peoples are men. What is the ratio of men to women in the park?

Convert the ratio 24:25 to percentage.

Find area of the parallelogram of base 10 cm &amp; altitude 5 cm as shown in the figure.

Select the correct representation of a number y which is at least −8.

Draw the perpendicularbisector ofwhoselength is 10.3 cm. (a) Take any point P onthe bisector drawn. Examine whether PX = PY. (b) If M is the midpoint of,what can you say about the lengths MX and XY?

The sum of the digits of a two digit number is 12. The tens digit is three times the ones digit. Find the number.93

Mark the correct alternative in each of the following:Which of the following fractions lies between 23 and 57?(a) 34 (b) 45 (c) 56 (d) None of these

Find the value of x in 3x−18=−3

A point C is called the mid-point of a line segment AB if(a) C is an interior point of AB(b) AC = CB(c) C is an interior point of AB, such that AC=CB(d) AC + CB = AB

In Fig. 105, if AOB and COD are straight lines. Then, x + y =(a) 120(b) 140(c) 100(d) 160

After putting a point in the quotient how many chances do we have of putting zero?

Which of the following denotes the valid probability of value for any event?

If the measures of the angles of a triangle are (2x)° , (3x − 5)° and (4x − 13)°. Then the value of x is(a) 22(b) 18(c) 20(d) 30

Two angles are supplementary to each other. One angle is thrice the other. Find the angles.

Number of solutions of 2x+3y=8 and 3x-4y=10

ntIf a-b and a+b are twin prime ,then a and b are necessaryn ntA) Twin primen ntB) Co primen ntC) Cannot sayn ntD) Nonen

If x+5=10, then the value of 8x−30 is:

An equivalent fraction of 1218:

Solve each of the following quadratic equations:3x2+10x-83=0

What is the smallest number that is completely divisible by 24 and 32?

if the straight line through the point p (3,4) makes an angle 30 with x axis in the positive direction and meets the line 3x+5y+1=0 at Q, the length pq is

Question 54 Look at the figure, Mark a point (a) A, which is the interior of both ∠ 1 and ∠ 2. (b) B, which is the interior of only ∠ 1. (c) C, in the interior of ∠ 1. Now, state whether points B and C lie in the interior of ∠ 2 also.

Write the name of the: a. vertices b. edges and c. faces of the prism shown in the figure. [4 MARKS]

A bag was bought for ₹250 and sold for ₹265. Find loss or profit percent.6

If 4.053+2.5−3.64=X, then the value of X equals __.

If I sell 45th of 10 apples, how many are left?

The area of each square is in the given figure is 4 cm2. Find the perimeter of the whole figure in cm. 28

If an angle of 30∘ is constructed and its base is extended in the opposite direction, we get a supplementary angle of ___.

What will be the sum of the first 10 Whole Numbers?

कंठ रुक रहा है, काल आ रहा है- यह भावना कवि के मन में क्यों आई?

Which colour(s) in the given diagram represents a sector of the circle?

Find the angle between hour hand and minute hand at 05:05 PM.

Question 78Draw the net of a regular tetrahedron with side 6 cm.

The prime factorization of 999 is:

Write each of the following numerals in International system of numeration:(i) 83254(ii) 457923(iii) 2543876(iv) 700430084

If ΔDEF≅ΔBCA, then the part of Δ that correspond to ∠E is

a kite in the shape of square with a diagonal 40 cm&isosceles triagel of base 10 cm &equal sides 13 cm,is to be made up of three different shades. how much papaer of each shade has been used to make the kite

While drawing a three dimensional view of an object, in an oblique sketch we use a angle.

Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.