16437 + Interview Questions in Mathematics Page 115 InterviewSolution

5701.	The complement of an event A is represented by .
Answer» The complement of an event $A$ is represented by .

Discussion

5702.	Which of the following integers do not lie between -8 and +6?
Answer» Which of the following integers do not lie between -8 and +6?

Discussion

5703.	Nandini's house is 910 km from her school. She walked some distance and then took a bus for 12 km to reach the school. How far did she walk?
Answer» Nandini's house is $\frac{9}{10}$ km from her school. She walked some distance and then took a bus for $\frac{1}{2}$ km to reach the school. How far did she walk?

Discussion

5704.	Which of the following net diagrams can be used for the above-shown cylinder?
Answer» Which of the following net diagrams can be used for the above-shown cylinder?

5704.

Which of the following net diagrams can be used for the above-shown cylinder?

Answer»

Which of the following net diagrams can be used for the above-shown cylinder?

Discussion

5705.	The weight of 80 identical books is 400 kg. The weight of one such book is ___
Answer» The weight of 80 identical books is 400 kg. The weight of one such book is ___

Discussion

5706.	Find the value of a if,3a4=154
Answer» Find the value of a if, $3 \frac{a}{4} = \frac{15}{4}$

5706.

Find the value of a if,3a4=154

Answer»

Find the value of a if,

$3 \frac{a}{4} = \frac{15}{4}$

Discussion

5707.	If ′a′ chocolates are distributed amongst ′b′ students equally, then what is the share of chocolates obtained by each student?
Answer» If $^{'} a^{'}$ chocolates are distributed amongst $^{'} b^{'}$ students equally, then what is the share of chocolates obtained by each student?

Discussion

5708.	What steps should be followed in order to avoid mistakes while drawing a circle using a compass?
Answer» What steps should be followed in order to avoid mistakes while drawing a circle using a compass?

Discussion

5709.	What is the face value of 2 in number 2321
Answer» What is the face value of 2 in number 2321

Discussion

5710.	If Rs. 70 is distributed equally among 40 children, how much will each child get?
Answer» If Rs. 70 is distributed equally among 40 children, how much will each child get?

Discussion

5711.	38. What is the significant figure should be present in 0.0125+ 0.7864 +0.0215?
Answer» 38. What is the significant figure should be present in 0.0125+ 0.7864 +0.0215?

Discussion

5712.	A set of simultaneous linear algebraic equations is represented in a matrix form as shown below:⎡⎢⎢⎢⎢⎢⎢⎣000413255210002530004523215⎤⎥⎥⎥⎥⎥⎥⎦⎡⎢⎢⎢⎢⎢⎢⎣X1X2X3X4X5⎤⎥⎥⎥⎥⎥⎥⎦=⎡⎢⎢⎢⎢⎢⎢⎣46161613081⎤⎥⎥⎥⎥⎥⎥⎦The value (rounded off to the nearest integer) of X3 is ______.15
Answer» A set of simultaneous linear algebraic equations is represented in a matrix form as shown below: $⎡ ⎢⎢⎢⎢⎢⎢ ⎣ \begin{matrix} 0 & 0 & 0 & 4 & 13 2 & 5 & 5 & 2 & 10 0 & 0 & 2 & 5 & 3 0 & 0 & 0 & 4 & 5 2 & 3 & 2 & 1 & 5 \end{matrix} ⎤ ⎥⎥⎥⎥⎥⎥ ⎦ ⎡ ⎢⎢⎢⎢⎢⎢ ⎣ \begin{matrix} X_{1} X_{2} X_{3} X_{4} X_{5} \end{matrix} ⎤ ⎥⎥⎥⎥⎥⎥ ⎦ = ⎡ ⎢⎢⎢⎢⎢⎢ ⎣ \begin{matrix} 46161613081 \end{matrix} ⎤ ⎥⎥⎥⎥⎥⎥ ⎦$ The value (rounded off to the nearest integer) of $X_{3}$ is ______. 15

Discussion

5713.	Which of the following sets of angles represent the angles that set squares in your geometry box have?
Answer» Which of the following sets of angles represent the angles that set squares in your geometry box have?

Discussion

5714.	Question 16In the figure, line segment DF intersects the side AC of a ΔABC at the point E such that E is the midpoint of CA and ∠AEF and ∠AFE. Prove that BDCD=BFCE.
Answer» Question 16 In the figure, line segment DF intersects the side AC of a $Δ A B C$ at the point E such that E is the midpoint of CA and $∠ A E F$ and $∠ A F E$ . Prove that $\frac{B D}{C D} = \frac{B F}{C E}$ .

Discussion

5715.	In which of the following figures the coloured region does NOT represent 34?
Answer» In which of the following figures the coloured region does NOT represent $\frac{3}{4}$ ?

Discussion

5716.	Find the HCF by long division method and reduce it to the simplest form:275525
Answer» Find the HCF by long division method and reduce it to the simplest form: $\frac{275}{525}$

Discussion

5717.	Can you draw a regular polygon with each of its angles equal to 47°?
Answer» Can you draw a regular polygon with each of its angles equal to 47°?

Discussion

5718.	Express the following in decimal form :13591000+914
Answer» Express the following in decimal form : $\frac{1359}{1000} + 9 \frac{1}{4}$

Discussion

5719.

Calculate Closing Stock from the following details: ₹ ₹ Opening Stock 20,000 Purchases 70,000 Cash Sales 60,000 Credit Sales 40,000 Rate of Gross Profit on Cost 3313%

Answer» Calculate Closing Stock from the following details:

	₹		₹
Opening Stock	20,000	Purchases	70,000
Cash Sales	60,000	Credit Sales	40,000
		Rate of Gross Profit on Cost $33 \frac{1}{3} %$

Discussion

5720.	Simplify.(i) 47147 + 38192 - 1575 (ii) 53+227+13(iii) 216-56+294-36(iv)412-75-748(v) 248-75-13
Answer» Simplify. (i) $\frac{4}{7} \sqrt{147} + \frac{3}{8} \sqrt{192} - \frac{1}{5} \sqrt{75}$ (ii) $5 \sqrt{3} + 2 \sqrt{27} + \frac{1}{\sqrt{3}}$ (iii) $\sqrt{216} - 5 \sqrt{6} + \sqrt{294} - \frac{3}{\sqrt{6}}$ (iv) $4 \sqrt{12} - \sqrt{75} - 7 \sqrt{48}$ (v) $2 \sqrt{48} - \sqrt{75} - \frac{1}{\sqrt{3}}$

Discussion

5721.	The two cross paths of the rectangular field 45m long and 38m wide, one parallel to the breadth. The width of each path is 4m .Find the cost of gravelling the path at rupee 5.60per m,^2
Answer» The two cross paths of the rectangular field 45m long and 38m wide, one parallel to the breadth. The width of each path is 4m .Find the cost of gravelling the path at rupee 5.60per m,^2

Discussion

5722.	Yhe dimensions of an oil tin are 15cm×8cm×25cm.find the area of the tin sheet required for making 40 tins .if 1square metering tin cost rupees 15,find the cost of tin used for these 40 tins
Answer» Yhe dimensions of an oil tin are 15cm×8cm×25cm.find the area of the tin sheet required for making 40 tins .if 1square metering tin cost rupees 15,find the cost of tin used for these 40 tins

Discussion

5723.	Question 66Fill in the blanks to make the statements true.The number of diagonals in a hexagon is ___.
Answer» Question 66 Fill in the blanks to make the statements true. The number of diagonals in a hexagon is ___.

Discussion

5724.	Suresh and Ramesh saw two perpendicular lines, which intersect each other and made the following statements:Suresh: If two lines are perpendicular then the number of right angles formed between them is 2.Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.
Answer» Suresh and Ramesh saw two perpendicular lines, which intersect each other and made the following statements: Suresh: If two lines are perpendicular then the number of right angles formed between them is 2. Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.

5724.

Suresh and Ramesh saw two perpendicular lines, which intersect each other and made the following statements:Suresh: If two lines are perpendicular then the number of right angles formed between them is 2.Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.

Answer»

Suresh and Ramesh saw two perpendicular lines, which intersect each other and made the following statements:

Suresh: If two lines are perpendicular then the number of right angles formed between them is 2.

Ramesh: If two lines are perpendicular then the number of right angles formed between them is 4.

Discussion

5725.	Question 1 (e) Find: 23 – (–12)
Answer» Question 1 (e) Find: 23 – (–12)

5725.

Question 1 (e) Find: 23 – (–12)

Answer»

Question 1 (e)

Find:

23 – (–12)

Discussion

5726.

John can answer 45 math questions every 30 minutes. Minutes Number of math questions 30 45 10 x y 90 Complete the table using equivalent ratios.The value of x= The value of y=

Answer» John can answer 45 math questions every 30 minutes.

Minutes
Number of math questions

30	45
10	$x$
$y$	90

Complete the table using equivalent ratios.

The value of x =

The value of y =

Discussion

5727.	Santra finished colouring a picture in 916 hour. Vaibhav finished colouring the same picture in 58 hours. Who worked longer? By what fraction was it longer?
Answer» Santra finished colouring a picture in $\frac{9}{16}$ hour. Vaibhav finished colouring the same picture in $\frac{5}{8}$ hours. Who worked longer? By what fraction was it longer?

Discussion

5728.	If the exterior angle of a regular polygon is 45∘, then it has ___sides.
Answer» If the exterior angle of a regular polygon is $45^{\circ}$ , then it has ___sides.

Discussion

5729.	The number of girl students in each class of a co-educational middle school is depicted by the pictograph:Observe this pictograph and answer the following questions:(a) Which class has the minimum number of girl students?(b) Is the number of girls in Class VI less than the number of girls in Class V?(c) How many girls are there in Class VII?
Answer» The number of girl students in each class of a co-educational middle school is depicted by the pictograph: Observe this pictograph and answer the following questions: (a) Which class has the minimum number of girl students? (b) Is the number of girls in Class VI less than the number of girls in Class V? (c) How many girls are there in Class VII?

Discussion

5730.	(a) What fraction of the total pizza is left in the given figure below? [2 MARKS](b) What is the product of 6729 and its reciprocal?
Answer» (a) What fraction of the total pizza is left in the given figure below? [2 MARKS] (b) What is the product of $\frac{6}{729}$ and its reciprocal?

5730.

(a) What fraction of the total pizza is left in the given figure below? [2 MARKS](b) What is the product of 6729 and its reciprocal?

Answer»

(a) What fraction of the total pizza is left in the given figure below? [2 MARKS]

(b) What is the product of $\frac{6}{729}$ and its reciprocal?

Discussion

5731.	8. What should the width of each Slit be to obtain 10 Maxima of double slit pattern within the central maximum of single slit pattern?(two slits are made one millimeter apart and the screen is placed one metre away)
Answer» 8. What should the width of each Slit be to obtain 10 Maxima of double slit pattern within the central maximum of single slit pattern?(two slits are made one millimeter apart and the screen is placed one metre away)

Discussion

5732.	A diagonalis a line segment that joins any two vertices of the polygon and isnot a side of the polygon. Draw a rough sketch of a pentagon and drawits diagonals.
Answer» A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

Discussion

5733.	If the angles of a triangle are in the ratio 1 : 2 : 3, then based on the angles, the triangle is ___.
Answer» If the angles of a triangle are in the ratio 1 : 2 : 3, then based on the angles, the triangle is ___.

Discussion

5734.	In the set of natural numbers, ___ is the least number. (Answer in numerical form)
Answer» In the set of natural numbers, ___ is the least number. (Answer in numerical form)

Discussion

5735.	Question 6 (a) Write the smallest digit and the largest digit in the blanks space of the given number so that the number formed is divisibly by 11. 92_________389
Answer» Question 6 (a) Write the smallest digit and the largest digit in the blanks space of the given number so that the number formed is divisibly by 11. 92_________389

5735.

Question 6 (a) Write the smallest digit and the largest digit in the blanks space of the given number so that the number formed is divisibly by 11. 92_________389

Answer»

Question 6 (a)

Write the smallest digit and the largest digit in the blanks space of the given number so that the number formed is divisibly by 11.
92_________389

Discussion

5736.	Write 56 as a fraction with numerator 60.
Answer» Write $\frac{5}{6}$ as a fraction with numerator $60$ .

Discussion

5737.	Subtract 22.75 from 37.2 and choose the correct option.
Answer» Subtract 22.75 from 37.2 and choose the correct option.

Discussion

5738.	The following shows the marks obtained by students of a class in a math test (out of 10 marks) Which of the below statement is wrong as per the above tally marks table?
Answer» The following shows the marks obtained by students of a class in a math test (out of 10 marks) Which of the below statement is wrong as per the above tally marks table?

5738.

The following shows the marks obtained by students of a class in a math test (out of 10 marks) Which of the below statement is wrong as per the above tally marks table?

Answer»

The following shows the marks obtained by students of a class in a math test (out of 10 marks)

Which of the below statement is wrong as per the above tally marks table?

Discussion

5739.	Arrange the fractions 23, 34, 12 and 56 in ascending order.
Answer» Arrange the fractions $\frac{2}{3}, \frac{3}{4}, \frac{1}{2} a n d \frac{5}{6}$ in ascending order.

Discussion

5740.	If 4x≤−3, then 4x×(−3)(−3)×(−3).If −3x>4, then (−3x)×(4)4×4.
Answer» If $4 x \leq - 3$ , then $4 x \times (- 3)$ $(- 3) \times (- 3)$ . If $- 3 x > 4$ , then $(- 3 x) \times (4)$ $4 \times 4$ .

Discussion

5741.	A sum of ₹ 7000 is divided among A,B,C in the ratio 8:12:20 . Find C's share.
Answer» A sum of ₹ $7000$ is divided among $A, B, C$ in the ratio $8 : 12 : 20$ . Find $C$ 's share.

Discussion

5742.	80 minutes = ___ hours.
Answer» $80$ minutes $=$ ___ hours.

Discussion

5743.	Classify the following numbers as having odd or even number of factors: (i) 36 (ii) 48 (iii) 65 (iv) 81
Answer» Classify the following numbers as having odd or even number of factors: (i) 36 (ii) 48 (iii) 65 (iv) 81

Discussion

5744.	Question 8(c) Check whether the following statement is true (T) or false (F): Zero is the smallest whole number.
Answer» Question 8(c) Check whether the following statement is true (T) or false (F): Zero is the smallest whole number.

5744.

Question 8(c) Check whether the following statement is true (T) or false (F): Zero is the smallest whole number.

Answer»

Question 8(c)

Check whether the following statement is true (T) or false (F):
Zero is the smallest whole number.

Discussion

5745.	In a family of four persons 15 chapaties were consumed in a day. 13of the chapaties were consumed by the mother and 15 were consumed by the children and the remaining were eaten by the father. How many chapaties were eaten by each of them?
Answer» In a family of four persons 15 chapaties were consumed in a day. $\frac{1}{3}$ of the chapaties were consumed by the mother and $\frac{1}{5}$ were consumed by the children and the remaining were eaten by the father. How many chapaties were eaten by each of them?

Discussion

5746.	The following table represents the relation between x and y. Which of the following graph shows the missing values in the given table?
Answer» The following table represents the relation between x and y. Which of the following graph shows the missing values in the given table?

Discussion

5747.	If 97 and a63 are equivalent fractions, then the value of a is ___ .
Answer» If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is ___ .

Discussion

5748.	See the double bar graph and answer the question that follows.How many girls participated in crafts and swimming together?
Answer» See the double bar graph and answer the question that follows. How many girls participated in crafts and swimming together?

5748.

See the double bar graph and answer the question that follows.How many girls participated in crafts and swimming together?

Answer»

See the double bar graph and answer the question that follows.

How many girls participated in crafts and swimming together?

Discussion

5749.	Write the value of the x in rational form, from the number line in the given figure.
Answer» Write the value of the x in rational form, from the number line in the given figure.

Discussion

5750.	Which of the following are examples of concurrent lines?
Answer» Which of the following are examples of concurrent lines?

Discussion

Explore topic-wise InterviewSolutions in .

The complement of an event A is represented by .

Which of the following integers do not lie between -8 and +6?

Nandini's house is 910 km from her school. She walked some distance and then took a bus for 12 km to reach the school. How far did she walk?

Which of the following net diagrams can be used for the above-shown cylinder?

The weight of 80 identical books is 400 kg. The weight of one such book is ___

Find the value of a if,3a4=154

If ′a′ chocolates are distributed amongst ′b′ students equally, then what is the share of chocolates obtained by each student?

What steps should be followed in order to avoid mistakes while drawing a circle using a compass?

What is the face value of 2 in number 2321

If Rs. 70 is distributed equally among 40 children, how much will each child get?

38. What is the significant figure should be present in 0.0125+ 0.7864 +0.0215?

Which of the following sets of angles represent the angles that set squares in your geometry box have?

Question 16In the figure, line segment DF intersects the side AC of a ΔABC at the point E such that E is the midpoint of CA and ∠AEF and ∠AFE. Prove that BDCD=BFCE.

In which of the following figures the coloured region does NOT represent 34?

Find the HCF by long division method and reduce it to the simplest form:275525

Can you draw a regular polygon with each of its angles equal to 47°?

Express the following in decimal form :13591000+914

Calculate Closing Stock from the following details: ₹ ₹ Opening Stock 20,000 Purchases 70,000 Cash Sales 60,000 Credit Sales 40,000 Rate of Gross Profit on Cost 3313%

Simplify.(i) 47147 + 38192 - 1575 (ii) 53+227+13(iii) 216-56+294-36(iv)412-75-748(v) 248-75-13

The two cross paths of the rectangular field 45m long and 38m wide, one parallel to the breadth. The width of each path is 4m .Find the cost of gravelling the path at rupee 5.60per m,^2

Yhe dimensions of an oil tin are 15cm×8cm×25cm.find the area of the tin sheet required for making 40 tins .if 1square metering tin cost rupees 15,find the cost of tin used for these 40 tins

Question 66Fill in the blanks to make the statements true.The number of diagonals in a hexagon is ___.

Question 1 (e) Find: 23 – (–12)

John can answer 45 math questions every 30 minutes. Minutes Number of math questions 30 45 10 x y 90 Complete the table using equivalent ratios.The value of x= The value of y=

Santra finished colouring a picture in 916 hour. Vaibhav finished colouring the same picture in 58 hours. Who worked longer? By what fraction was it longer?

If the exterior angle of a regular polygon is 45∘, then it has ___sides.

(a) What fraction of the total pizza is left in the given figure below? [2 MARKS](b) What is the product of 6729 and its reciprocal?

8. What should the width of each Slit be to obtain 10 Maxima of double slit pattern within the central maximum of single slit pattern?(two slits are made one millimeter apart and the screen is placed one metre away)

A diagonalis a line segment that joins any two vertices of the polygon and isnot a side of the polygon. Draw a rough sketch of a pentagon and drawits diagonals.

If the angles of a triangle are in the ratio 1 : 2 : 3, then based on the angles, the triangle is ___.

In the set of natural numbers, ___ is the least number. (Answer in numerical form)

Question 6 (a) Write the smallest digit and the largest digit in the blanks space of the given number so that the number formed is divisibly by 11. 92_________389

Write 56 as a fraction with numerator 60.

Subtract 22.75 from 37.2 and choose the correct option.

The following shows the marks obtained by students of a class in a math test (out of 10 marks) Which of the below statement is wrong as per the above tally marks table?

Arrange the fractions 23, 34, 12 and 56 in ascending order.

If 4x≤−3, then 4x×(−3)(−3)×(−3).If −3x&gt;4, then (−3x)×(4)4×4.

A sum of ₹ 7000 is divided among A,B,C in the ratio 8:12:20 . Find C's share.

80 minutes = ___ hours.

Classify the following numbers as having odd or even number of factors: (i) 36 (ii) 48 (iii) 65 (iv) 81

Question 8(c) Check whether the following statement is true (T) or false (F): Zero is the smallest whole number.

In a family of four persons 15 chapaties were consumed in a day. 13of the chapaties were consumed by the mother and 15 were consumed by the children and the remaining were eaten by the father. How many chapaties were eaten by each of them?

The following table represents the relation between x and y. Which of the following graph shows the missing values in the given table?

If 97 and a63 are equivalent fractions, then the value of a is ___ .

See the double bar graph and answer the question that follows.How many girls participated in crafts and swimming together?

Write the value of the x in rational form, from the number line in the given figure.

Which of the following are examples of concurrent lines?

If 4x≤−3, then 4x×(−3)(−3)×(−3).If −3x>4, then (−3x)×(4)4×4.