16437 + Interview Questions in Mathematics Page 25 InterviewSolution

1201.	Snehal has a red ribbon that is 80 cm long and a blue ribbon, 2.20 m long. What is the ratio of the length of the red ribbon to that of the blue ribbon?
Answer» Snehal has a red ribbon that is 80 cm long and a blue ribbon, 2.20 m long. What is the ratio of the length of the red ribbon to that of the blue ribbon?

Discussion

1202.	What is the distance between the points A and B?
Answer» What is the distance between the points A and B?

Discussion

1203.	The prime factorisation of 272 is .
Answer» The prime factorisation of 272 is .

Discussion

1204.	Match the following figures to the fractions they represent.
Answer» Match the following figures to the fractions they represent.

Discussion

1205.	Question 4 (a) Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: 3 matchsticks? (Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.
Answer» Question 4 (a) Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: 3 matchsticks? (Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.

1205.

Question 4 (a) Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: 3 matchsticks? (Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.

Answer»

Question 4 (a)

Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with:
3 matchsticks?

(Remember you have to use all the available matchsticks)
Name the type of triangle. If you cannot make a triangle, think of reasons for it.

Discussion

1206.	Question 11 18 is divisible by both 2 and 3. It is also divisible by 2×3=6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4×6=24? If not, give an example to justify your answer.
Answer» Question 11 18 is divisible by both 2 and 3. It is also divisible by $2 \times 3 = 6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4 \times 6 = 24 ?$ If not, give an example to justify your answer.

1206.

Question 11 18 is divisible by both 2 and 3. It is also divisible by 2×3=6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4×6=24? If not, give an example to justify your answer.

Answer»

Question 11

18 is divisible by both 2 and 3. It is also divisible by $2 \times 3 = 6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4 \times 6 = 24 ?$ If not, give an example to justify your answer.

Discussion

1207.	Rajubought a book for Rs 35.65. He gave Rs 50 to the shopkeeper. How muchmoney did he get back from the shopkeeper?
Answer» Raju bought a book for Rs 35.65. He gave Rs 50 to the shopkeeper. How much money did he get back from the shopkeeper?

Discussion

1208.	Each side of a piece of square land is 36 m. Find its perimeter.
Answer» Each side of a piece of square land is 36 m. Find its perimeter.

Discussion

1209.	On Tuesday, 102 students in a class decided to go on a tour. All the students went on the bus except for 7 of them who were traveling in their own car.Write an algebric expression for the number of students who traveled by bus.
Answer» On Tuesday, 102 students in a class decided to go on a tour. All the students went on the bus except for 7 of them who were traveling in their own car. Write an algebric expression for the number of students who traveled by bus.

Discussion

1210.	The length and breadth of a few rectangles are given below. Find the area of each rectangle.(i) (ii) (iii) 5.2 metres, 2.5 metres
Answer» The length and breadth of a few rectangles are given below. Find the area of each rectangle. (i) (ii) (iii) 5.2 metres, 2.5 metres

1210.

The length and breadth of a few rectangles are given below. Find the area of each rectangle.(i) (ii) (iii) 5.2 metres, 2.5 metres

Answer»

The length and breadth of a few rectangles are given below. Find the area of each rectangle.

(i)

(ii)

(iii) 5.2 metres, 2.5 metres

Discussion

1211.	Question 1 (i)Can a polyhedron have three triangles on its faces?
Answer» Question 1 (i) Can a polyhedron have three triangles on its faces?

Discussion

1212.	If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of ₹109 and loss of ₹901?
Answer» If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of ₹109 and loss of ₹901?

Discussion

1213.	The mean of first four prime numbers is
Answer» The mean of first four prime numbers is

Discussion

1214.	Write the number 34867 in expanded form.
Answer» Write the number 34867 in expanded form.

Discussion

1215.	The smaller segment of a circle is called ____.
Answer» The smaller segment of a circle is called ____.

Discussion

1216.	3+(1+1/5)+2/3-7/5=?
Answer» 3+(1+1/5)+2/3-7/5=?

Discussion

1217.	Question 74. Ali divided one fruit cake equally among six person. What part of the cake he gave to each person?
Answer» Question 74. Ali divided one fruit cake equally among six person. What part of the cake he gave to each person?

Discussion

1218.	4yz(z2+6z−16)÷2y(z+8)=__
Answer» $4 y z (z^{2} + 6 z - 16) \div 2 y (z + 8) =__$

Discussion

1219.	In which of the following figures the axis of symmetry is incorrect?
Answer» In which of the following figures the axis of symmetry is incorrect?

Discussion

1220.	The perimeters of squares with each side of length 1 centimetre, 2 centimetres, 3 centimetres and so on. Also, the areas of these squares.
Answer» The perimeters of squares with each side of length 1 centimetre, 2 centimetres, 3 centimetres and so on. Also, the areas of these squares.

Discussion

1221.	Construct △ LMN in which base MN = 7 cm, ∠ LMN = 75∘ and LM + LN = 9 cm.
Answer» Construct $△$ LMN in which base MN = 7 cm, $∠$ LMN = $75^{\circ}$ and LM + LN = 9 cm.

Discussion

1222.	If the product of two integers is 72 and one of them is − 9, then the other integers is(a) − 8 (b) 8 (c) 81 (d) 63
Answer» If the product of two integers is 72 and one of them is − 9, then the other integers is (a) − 8 (b) 8 (c) 81 (d) 63

Discussion

1223.	A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.
Answer» A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Discussion

1224.	Mother wants to divide $36 between her daughters Sara and Mary in the ratio of their ages. Sara's age is 15 and Mary's age is twelve. How much money will they both get?
Answer» Mother wants to divide $36 between her daughters Sara and Mary in the ratio of their ages. Sara's age is 15 and Mary's age is twelve. How much money will they both get?

Discussion

1225.	Is every diameter of circle a chord ? Name the longest chord . Is every chord if a circle also a diameter ?
Answer» Is every diameter of circle a chord ? Name the longest chord . Is every chord if a circle also a diameter ?

Discussion

1226.	How to find the ratio which 2/3 of Rs 12.60 p bears to 0.6 of Rs 21
Answer» How to find the ratio which 2/3 of Rs 12.60 p bears to 0.6 of Rs 21

Discussion

1227.	Neelam’s father bought a total of 312 m of clothes in total. Out of the same 217 m is used for dress whereas 25 m is used for a scarf. How much part of the cloth was left over ?
Answer» Neelam’s father bought a total of $3 \frac{1}{2}$ m of clothes in total. Out of the same $2 \frac{1}{7}$ m is used for dress whereas $\frac{2}{5}$ m is used for a scarf. How much part of the cloth was left over ?

Discussion

1228.	Nimmi was asked to solve this question by her teacher. What do you think the answer will be? 5+15
Answer» Nimmi was asked to solve this question by her teacher. What do you think the answer will be? $5 + \frac{1}{5}$

Discussion

1229.	2.0 g of charcoal is placed in a 100 mL solution of 0.05 M CH3COOH to form an adsorbed monoacidic layer of acetic acid molecules and thereby the molarity of CH3COOH reduces to 0.49 M. The surface area of charcoal is 3×102 m2g−1. The surface area of charcoal used by each molecule of acetic acid is:
Answer» $2.0 g$ of charcoal is placed in a $100 mL$ solution of $0.05 M C H_{3} C O O H$ to form an adsorbed monoacidic layer of acetic acid molecules and thereby the molarity of $C H_{3} C O O H$ reduces to $0.49 M$ . The surface area of charcoal is $3 \times 10^{2} m^{2} g^{- 1}$ . The surface area of charcoal used by each molecule of acetic acid is:

Discussion

1230.	Add : 113 + 212 = ____
Answer» Add : $1 \frac{1}{3}$ + $2 \frac{1}{2}$ = ____

Discussion

1231.	A rectangular block has length= 4 units, width =2 units and height= 7 units. If the length, width and height are doubled, what happens to the volume?
Answer» A rectangular block has length= 4 units, width =2 units and height= 7 units. If the length, width and height are doubled, what happens to the volume?

Discussion

1232.	38.Find dy/dx at x=5/4
Answer» 38.Find dy/dx at x=5/4

Discussion

1233.	Field lines of two negative point
Answer» Field lines of two negative point

Discussion

1234.	Question 73For any rational number x, x + (- 1) = - x
Answer» Question 73 For any rational number x, x + (- 1) = - x

Discussion

1235.	Moli and Bholi contribute ₹ 20,000 and ₹ 10,000 respectively towards capital. They decide to allow interest on capital 6% p.a. Their respective share of profits is 2 : 3 and the net profit for the year is ₹ 1,500. Show distribution of profits:(i) where there is no agreement except for interest on capitals; and(ii) where there is an agreement that the interest on capital as a charge.
Answer» Moli and Bholi contribute ₹ 20,000 and ₹ 10,000 respectively towards capital. They decide to allow interest on capital 6% p.a. Their respective share of profits is 2 : 3 and the net profit for the year is ₹ 1,500. Show distribution of profits: (i) where there is no agreement except for interest on capitals; and (ii) where there is an agreement that the interest on capital as a charge.

Discussion

1236.	Question 3(ii) Express each of the following numbers using exponential notation: (ii) 343
Answer» Question 3(ii) Express each of the following numbers using exponential notation: (ii) 343

Discussion

1237.	A number is divisible by both 2 & 3. Find a smallest positive number, other than 1,2 or 3, that divides the original number completely.
Answer» A number is divisible by both $2 & 3.$ Find a smallest positive number, other than $1, 2 or 3,$ that divides the original number completely.

Discussion

1238.	17. In a complex, the highest possible coordination number is A - 6 B - 12 C - 4 D - 8 (Kindly explain, what governs the limit of coordination number in a complex compound )
Answer» 17. In a complex, the highest possible coordination number is A - 6 B - 12 C - 4 D - 8 (Kindly explain, what governs the limit of coordination number in a complex compound )

Discussion

1239.	Question 75 Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.
Answer» Question 75 Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.

1239.

Question 75 Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.

Answer»

Question 75

Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.

Discussion

1240.	Angel has 24 green beads and 30 orange beads. If the number of beads of the same color in each bag has to be equal, then what is the maximum number of bags that can be packed?
Answer» Angel has 24 green beads and 30 orange beads. If the number of beads of the same color in each bag has to be equal, then what is the maximum number of bags that can be packed?

Discussion

1241.	Question 5(k) : How quickly can you do this? Fill appropriate sign (<, =, >): 57□1521
Answer» Question 5(k) : How quickly can you do this? Fill appropriate sign (<, =, >): $\frac{5}{7} □ \frac{15}{21}$

1241.

Question 5(k) : How quickly can you do this? Fill appropriate sign (<, =, >): 57□1521

Answer»

Question 5(k) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{5}{7} □ \frac{15}{21}$

Discussion

1242.	What means whole number
Answer» What means whole number

Discussion

1243.	A piece of wire is used to make rectangleswith the same height of 'h' cm. Thelengths of the rectangles are increasedby 1 cm successively28h cmh cmh cm(b+1) cm(b+2) cmoS Find the total length of wire required tomake 7 rectangles in this pattern.iC(A) 2h +b+7\rbrack (B) 2b+h+ 7(C) 2n + h+6 (D) 2lb+h + 6\rbrack
Answer» A piece of wire is used to make rectangleswith the same height of 'h' cm. Thelengths of the rectangles are increasedby 1 cm successively28h cmh cmh cm(b+1) cm(b+2) cmoS Find the total length of wire required tomake 7 rectangles in this pattern.iC(A) 2h +b+7\rbrack (B) 2b+h+ 7(C) 2n + h+6 (D) 2lb+h + 6\rbrack

Discussion

1244.	Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.
Answer» Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.

Discussion

1245.	70.P vector +Q vector = Rvector and R vector is perpendicular to P vector . If magnitude of P = Q then what is the angle between P and Q ?
Answer» 70.P vector +Q vector = Rvector and R vector is perpendicular to P vector . If magnitude of P = Q then what is the angle between P and Q ?

Discussion

1246.	GCD of two numbers is 5. If one number is 125 and another number is a multiple of 3, find the possible number(s) using Factor Tree.
Answer» GCD of two numbers is $5.$ If one number is $125$ and another number is a multiple of $3,$ find the possible number(s) using Factor Tree.

Discussion

1247.	If x=7+43 then x+1x=?(a) 83(b) 14(c) 49(d) 48
Answer» If $x = (7 + 4 \sqrt{3}) then (x + \frac{1}{x}) = ?$ (a) $8 \sqrt{3}$ (b) 14 (c) 49 (d) 48

Discussion

1248.	What fraction does the arrow represent?
Answer» What fraction does the arrow represent?

Discussion

1249.	Question 152 (ii)A rectangle MORE is shown below.Answer the following questions by giving appropriate reason.Is ∠MYO=∠RXE?
Answer» Question 152 (ii) A rectangle MORE is shown below. Answer the following questions by giving appropriate reason. Is $∠ M Y O = ∠ R X E$ ?

Discussion

1250.

Fill the number puzzle. Left to Right (a) 5 as base 5 (2sq) (b) 31 in base 5 (3) (e) 38 in base 5 (3) (f) 15 in base 5 (2) (g) 106 in base 5 (3) (i) 7 in base 5 (3) (k) 9 in base 5 (2) Down (a) 26 in base 5 (3 sq) (c) 25 in base 5 (3) (d) 69 in base 5 (3) (f) 16 in base 5 (2) (h) 44 in base 5 (3) (i) 8 in base 5 (2) (j) 24 in base 5 (2) a1 0 b c d e f g h i j k

Answer»

Fill the number puzzle.

Left to Right

(a) 5 as base 5 (2sq)

(b) 31 in base 5 (3)

(e) 38 in base 5 (3)

(f) 15 in base 5 (2)

(g) 106 in base 5 (3)

(i) 7 in base 5 (3)

(k) 9 in base 5 (2)

Down

(a) 26 in base 5 (3 sq)

(c) 25 in base 5 (3)

(d) 69 in base 5 (3)

(f) 16 in base 5 (2)

(h) 44 in base 5 (3)

(i) 8 in base 5 (2)

(j) 24 in base 5 (2)

^a1	0		^b		^c
		^d
^e				^f
		^g	^h
ⁱ					^j
		^k

Discussion

Explore topic-wise InterviewSolutions in .

Snehal has a red ribbon that is 80 cm long and a blue ribbon, 2.20 m long. What is the ratio of the length of the red ribbon to that of the blue ribbon?

What is the distance between the points A and B?

The prime factorisation of 272 is .

Match the following figures to the fractions they represent.

Question 4 (a) Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: 3 matchsticks? (Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.

Question 11 18 is divisible by both 2 and 3. It is also divisible by 2×3=6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4×6=24? If not, give an example to justify your answer.

Rajubought a book for Rs 35.65. He gave Rs 50 to the shopkeeper. How muchmoney did he get back from the shopkeeper?

Each side of a piece of square land is 36 m. Find its perimeter.

On Tuesday, 102 students in a class decided to go on a tour. All the students went on the bus except for 7 of them who were traveling in their own car.Write an algebric expression for the number of students who traveled by bus.

The length and breadth of a few rectangles are given below. Find the area of each rectangle.(i) (ii) (iii) 5.2 metres, 2.5 metres

Question 1 (i)Can a polyhedron have three triangles on its faces?

If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of ₹109 and loss of ₹901?

The mean of first four prime numbers is

Write the number 34867 in expanded form.

The smaller segment of a circle is called ____.

3+(1+1/5)+2/3-7/5=?

Question 74. Ali divided one fruit cake equally among six person. What part of the cake he gave to each person?

4yz(z2+6z−16)÷2y(z+8)=__

In which of the following figures the axis of symmetry is incorrect?

The perimeters of squares with each side of length 1 centimetre, 2 centimetres, 3 centimetres and so on. Also, the areas of these squares.

Construct △ LMN in which base MN = 7 cm, ∠ LMN = 75∘ and LM + LN = 9 cm.

If the product of two integers is 72 and one of them is − 9, then the other integers is(a) − 8 (b) 8 (c) 81 (d) 63

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Mother wants to divide $36 between her daughters Sara and Mary in the ratio of their ages. Sara's age is 15 and Mary's age is twelve. How much money will they both get?

Is every diameter of circle a chord ? Name the longest chord . Is every chord if a circle also a diameter ?

How to find the ratio which 2/3 of Rs 12.60 p bears to 0.6 of Rs 21

Neelam’s father bought a total of 312 m of clothes in total. Out of the same 217 m is used for dress whereas 25 m is used for a scarf. How much part of the cloth was left over ?

Nimmi was asked to solve this question by her teacher. What do you think the answer will be? 5+15

Add : 113 + 212 = ____

A rectangular block has length= 4 units, width =2 units and height= 7 units. If the length, width and height are doubled, what happens to the volume?

38.Find dy/dx at x=5/4

Field lines of two negative point

Question 73For any rational number x, x + (- 1) = - x

Question 3(ii) Express each of the following numbers using exponential notation: (ii) 343

A number is divisible by both 2 &amp; 3. Find a smallest positive number, other than 1,2 or 3, that divides the original number completely.

17. In a complex, the highest possible coordination number is A - 6 B - 12 C - 4 D - 8 (Kindly explain, what governs the limit of coordination number in a complex compound )

Question 75 Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compass.

Angel has 24 green beads and 30 orange beads. If the number of beads of the same color in each bag has to be equal, then what is the maximum number of bags that can be packed?

Question 5(k) : How quickly can you do this? Fill appropriate sign (&lt;, =, &gt;): 57□1521

What means whole number

Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.

70.P vector +Q vector = Rvector and R vector is perpendicular to P vector . If magnitude of P = Q then what is the angle between P and Q ?

GCD of two numbers is 5. If one number is 125 and another number is a multiple of 3, find the possible number(s) using Factor Tree.

If x=7+43 then x+1x=?(a) 83(b) 14(c) 49(d) 48

What fraction does the arrow represent?

Question 152 (ii)A rectangle MORE is shown below.Answer the following questions by giving appropriate reason.Is ∠MYO=∠RXE?

A number is divisible by both 2 & 3. Find a smallest positive number, other than 1,2 or 3, that divides the original number completely.

Question 5(k) : How quickly can you do this? Fill appropriate sign (<, =, >): 57□1521