25365 + Interview Questions in Mathematics Page 68 InterviewSolution

3351.	The difference between the measure of an internal angle and an external angle of regular polygon is 1500. The number of diagonals that can be drawn is -
Answer» The difference between the measure of an internal angle and an external angle of regular polygon is 150 $^{0}$ . The number of diagonals that can be drawn is -

Discussion

3352.	If, in ΔABC, r3=r1+r2+r, then ∠A+∠B=
Answer» If, in $Δ A B C, r_{3} = r_{1} + r_{2} + r,$ then $∠ A + ∠ B =$

Discussion

3353.	The cube of 0.6 lies between
Answer» The cube of 0.6 lies between

Discussion

3354.	One card is drawn from a pack of 52 cards. Then, the probability of getting a red coloured king is ___.
Answer» One card is drawn from a pack of 52 cards. Then, the probability of getting a red coloured king is ___.

Discussion

3355.	If a + b +c =0 then what is the value of a ³ + b³ +c³=0?how to explain.
Answer» If a + b +c =0 then what is the value of a ³ + b³ +c³=0?how to explain.

Discussion

3356.	Question 1 (c)State whether true or false.(c) All squares are rhombuses and also rectangles.
Answer» Question 1 (c) State whether true or false. (c) All squares are rhombuses and also rectangles.

3356.

Question 1 (c)State whether true or false.(c) All squares are rhombuses and also rectangles.

Answer»

Question 1 (c)

State whether true or false.

(c) All squares are rhombuses and also rectangles.

Discussion

3357.	At t minutes past 2pm the time needed by minutes hand and a clock to show 3pm was found to be 3 mins less than t square /4 mins. Find t.
Answer» At t minutes past 2pm the time needed by minutes hand and a clock to show 3pm was found to be 3 mins less than t square /4 mins. Find t.

Discussion

3358.	12. Whay is a square root
Answer» 12. Whay is a square root

Discussion

3359.	Identify the possible functions for the following relations from given sets of independent variable to sets of dependent variable.
Answer» Identify the possible functions for the following relations from given sets of independent variable to sets of dependent variable.

Discussion

3360.	Express 53 as a sum of 5 consecutive odd number.
Answer» Express $5^{3}$ as a sum of 5 consecutive odd number.

Discussion

3361.	Expand: (i) (7x+8y)3 (ii) 101)3
Answer» Expand: (i) $(7 x + 8 y)^{3}$ (ii) $101)^{3}$

Discussion

3362.	A sum of Rs 9600 is invested for 3 years at 10% per annum at compound interest. (i) What is the sum due at the end of the first year?
Answer» A sum of Rs 9600 is invested for 3 years at 10% per annum at compound interest. (i) What is the sum due at the end of the first year?

Discussion

3363.	Find the HCF of 12 , 18 , 24.
Answer» Find the HCF of 12 , 18 , 24.

Discussion

3364.	You want to conduct a survey on the popularity of Noodles among the students of different schools in your town. How would you design and choose your sample of study? Give reasons in support of your answer.
Answer» You want to conduct a survey on the popularity of Noodles among the students of different schools in your town. How would you design and choose your sample of study? Give reasons in support of your answer.

Discussion

3365.	IMAGE FORMATION BY A PLANE MIRR
Answer» IMAGE FORMATION BY A PLANE MIRR

Discussion

3366.	Factorise 200 as the product of its primes and list all its factors in the factor table.
Answer» Factorise 200 as the product of its primes and list all its factors in the factor table.

Discussion

3367.	The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.
Answer» The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

Discussion

3368.	a number is selected at random from 1 to 25. the probability that it is prime
Answer» a number is selected at random from 1 to 25. the probability that it is prime

Discussion

3369.	Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
Answer» Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Discussion

3370.	Question 9 (ii)Solve the following pairs of equationx3+y4=45x6−y8=4
Answer» Question 9 (ii) Solve the following pairs of equation $\frac{x}{3} + \frac{y}{4} = 4 \frac{5 x}{6} - \frac{y}{8} = 4$

Discussion

3371.	In a three digit number, the digit in the unit's place is four times the digit in the hundred's place. If digit in the unit's place and ten's place are interchanged, the new number so formed is 18 more than the original number. If the digit in the hundreds place is one-third of the digit in the ten's place, what is 25% of the original number?
Answer» In a three digit number, the digit in the unit's place is four times the digit in the hundred's place. If digit in the unit's place and ten's place are interchanged, the new number so formed is 18 more than the original number. If the digit in the hundreds place is one-third of the digit in the ten's place, what is 25% of the original number?

Discussion

3372.	Question 1 (v)What will be the unit digit of the squares of the following number:1234
Answer» Question 1 (v) What will be the unit digit of the squares of the following number: 1234

3372.

Question 1 (v)What will be the unit digit of the squares of the following number:1234

Answer»

Question 1 (v)

What will be the unit digit of the squares of the following number:

1234

Discussion

3373.	If the point (a, 2) lies on the graph of the linear equation 2x - 3y + 8 = 0, find the value of a.
Answer» If the point (a, 2) lies on the graph of the linear equation 2x - 3y + 8 = 0, find the value of a.

Discussion

3374.	Write each of the following numbers in expanded form:(i) 15,768(ii) 3,08,927(iii) 24,05,609(iv) 5,36,18,493(v) 6,06,06,006
Answer» Write each of the following numbers in expanded form: (i) 15,768 (ii) 3,08,927 (iii) 24,05,609 (iv) 5,36,18,493 (v) 6,06,06,006

3374.

Write each of the following numbers in expanded form:(i) 15,768(ii) 3,08,927(iii) 24,05,609(iv) 5,36,18,493(v) 6,06,06,006

Answer»

Write each of the following numbers in expanded form:

(i) 15,768

(ii) 3,08,927

(iii) 24,05,609

(iv) 5,36,18,493

(v) 6,06,06,006

Discussion

3375.	In some pictographs, incomplete pictures are also shown to represent ______ the value of the objects they indicate.
Answer» In some pictographs, incomplete pictures are also shown to represent ______ the value of the objects they indicate.

Discussion

3376.	What would be the graphical representation of the pair of linear equation 3x - 5y = -9 and 6x - 10y = -8
Answer» What would be the graphical representation of the pair of linear equation 3x - 5y = -9 and 6x - 10y = -8

Discussion

3377.	Question 84 (v)Simplify(1.5p+1.2q)2−(1.5p−1.2q)2
Answer» Question 84 (v) Simplify $(1.5 p + 1.2 q)^{2} - (1.5 p - 1.2 q)^{2}$

3377.

Question 84 (v)Simplify(1.5p+1.2q)2−(1.5p−1.2q)2

Answer»

Question 84 (v)

Simplify

$(1.5 p + 1.2 q)^{2} - (1.5 p - 1.2 q)^{2}$

Discussion

3378.	X^2
Answer» X^2

Discussion

3379.	11. The number of parallelogram that can be formed from a set of four parallel line intersetting another set of three parallel lines is? (1) 6 (2) 18 (3) 12 (4) 9
Answer» 11. The number of parallelogram that can be formed from a set of four parallel line intersetting another set of three parallel lines is? (1) 6 (2) 18 (3) 12 (4) 9

Discussion

3380.	Question 89 (viii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2a2x2+2abxy+b2y2
Answer» Question 89 (viii) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $a^{2} x^{2} + 2 a b x y + b^{2} y^{2}$

Discussion

3381.	A fair dice is rolled twice. The probability that an odd number will follow an even number is
Answer» A fair dice is rolled twice. The probability that an odd number will follow an even number is

Discussion

3382.	In the given figure, what is z in terms of x and y?(a) x + y + 180(b) x + y − 180(c) 180° − (x + y) (d) x + y + 360°
Answer» In the given figure, what is z in terms of x and y? (a) x + y + 180 (b) x + y − 180 (c) 180° − (x + y) (d) x + y + 360°

Discussion

3383.	Water is poured into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3. Find the number of hours it will take to fill the reservoir.
Answer» Water is poured into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^{3}$ . Find the number of hours it will take to fill the reservoir.

Discussion

3384.	Following figures relate to the weekly wages (in Rs) of 15 workers in a factory : 300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150;300, 150, 200, 250 Prepare a frequency table. (i) What is the.range in wages (in Rs)? (ii) How many workers are getting its 350 ? (iii) How many workers are getting the minimum wages ?
Answer» Following figures relate to the weekly wages (in Rs) of 15 workers in a factory : 300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150;300, 150, 200, 250 Prepare a frequency table. (i) What is the.range in wages (in Rs)? (ii) How many workers are getting its 350 ? (iii) How many workers are getting the minimum wages ?

3384.

Following figures relate to the weekly wages (in Rs) of 15 workers in a factory : 300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150;300, 150, 200, 250 Prepare a frequency table. (i) What is the.range in wages (in Rs)? (ii) How many workers are getting its 350 ? (iii) How many workers are getting the minimum wages ?

Answer»

Following figures relate to the weekly wages (in Rs) of 15 workers in a factory :

300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150;300, 150, 200, 250

Prepare a frequency table.

(i) What is the.range in wages (in Rs)?

(ii) How many workers are getting its 350 ?

(iii) How many workers are getting the minimum wages ?

Discussion

3385.

Enter the following transactions in the Cash Book with Cash and Bank Columns∶− 2016 June 1 Balance of Cash in Hand ₹ 12,000; Overdraft at Bank ₹ 1,500. 2 Deposited into Bank ₹ 10,000. Sold goods for Cash ₹ 28,000 and paid half the proceeds into Bank. 3 Purchased goods for ₹ 7,000 from Manoj & Co. on Credit. 5 Received a Money Order from Suresh ₹ 500. 8 Received ₹ 2,800 from Govind. Paid ₹ 1,000 into Bank. 10 Received a cheque for ₹ 7,600 from Subhash in full settlement of ₹ 8,000 due from him. 12 Settled the account of Manoj & Co. by payment of ₹ 6,600 half Cash and half by cheque. 13 Cheque received from Subhash deposited into Bank. 15 Paid for purchase of Machinery by cheque ₹ 20,000. 16 Paid wages for the erection of above Machinery ₹ 1,000. 17 Cheque issued for ₹ 6,000 in favour of Sachdeva & Co. for purchase of furniture. 20 Purchased goods from Kalpna Garments for ₹ 10,500 on credit. Received a Bank Draft for ₹ 4,800 from Damodar & Co. in full settlement of ₹ 5,000 due from them. Sent the draft to bank. 24 Bank issued a draft for ₹ 10,000 in favour of Kalpna Garments on our request. Bank charged ₹ 25 for issuing the draft. Account of Kalpna Garments was fully settled. 26 Drew from bank for petty cash ₹ 100. 28 Paid salary by cheque ₹ 6,000. 30 Bank Charges ₹ 50 and Interest ₹ 1,620 charged by bank. Deposited into bank the entire balance after retaining ₹ 4,000 at office

Answer» Enter the following transactions in the Cash Book with Cash and Bank Columns∶−

2016
June 1	Balance of Cash in Hand ₹ 12,000; Overdraft at Bank ₹ 1,500.
2	Deposited into Bank ₹ 10,000.
	Sold goods for Cash ₹ 28,000 and paid half the proceeds into Bank.
3	Purchased goods for ₹ 7,000 from Manoj & Co. on Credit.
5	Received a Money Order from Suresh ₹ 500.
8	Received ₹ 2,800 from Govind. Paid ₹ 1,000 into Bank.
10	Received a cheque for ₹ 7,600 from Subhash in full settlement of ₹ 8,000 due from him.
12	Settled the account of Manoj & Co. by payment of ₹ 6,600
	half Cash and half by cheque.
13	Cheque received from Subhash deposited into Bank.
15	Paid for purchase of Machinery by cheque ₹ 20,000.
16	Paid wages for the erection of above Machinery ₹ 1,000.
17	Cheque issued for ₹ 6,000 in favour of Sachdeva & Co. for purchase of furniture.
20	Purchased goods from Kalpna Garments for ₹ 10,500 on credit.
	Received a Bank Draft for ₹ 4,800 from Damodar & Co. in full settlement of ₹ 5,000 due from them. Sent the draft to bank.
24	Bank issued a draft for ₹ 10,000 in favour of Kalpna Garments on our request. Bank charged ₹ 25 for issuing the draft. Account of Kalpna Garments was fully settled.
26	Drew from bank for petty cash ₹ 100.
28	Paid salary by cheque ₹ 6,000.
30	Bank Charges ₹ 50 and Interest ₹ 1,620 charged by bank.
	Deposited into bank the entire balance after retaining ₹ 4,000 at office

Discussion

3386.	Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.
Answer» Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.

Discussion

3387.	A young cousin of yours had come for dinner at your place. He usually had only one roti whereas your capacity is four rotis. Assume that the rotis are perfectly circular with radius 4 cm and this time your cousin wanted to eat as many rotis as you did, What would be the new size of the rotis that your mom will have to make?
Answer» A young cousin of yours had come for dinner at your place. He usually had only one roti whereas your capacity is four rotis. Assume that the rotis are perfectly circular with radius $4 c m$ and this time your cousin wanted to eat as many rotis as you did, What would be the new size of the rotis that your mom will have to make?

Discussion

3388.	Find the values of the letters in the following and give reasons forthe steps involved.
Answer» Find the values of the letters in the following and give reasons for the steps involved.

3388.

Find the values of the letters in the following and give reasons forthe steps involved.

Answer»

Find the values of the letters in the following and give reasons for
the steps involved.

Discussion

3389.	Identify the property in the following statements: (i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).
Answer» Identify the property in the following statements: (i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).

3389.

Identify the property in the following statements: (i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).

Answer»

Identify the property in the following statements:

(i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).

Discussion

3390.	Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and ∠O=70∘.
Answer» Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and $∠ O = 70^{\circ}$ .

Discussion

3391.	If 1-i1+i100=a+ib, find (a, b).
Answer» If ${(\frac{1 - i}{1 + i})}^{100} = a + i b$ , find (a, b).

Discussion

3392.	In a polygon, each interior angle is thrice the exterior angle. Find the number of sides of the polygon.
Answer» In a polygon, each interior angle is thrice the exterior angle. Find the number of sides of the polygon.

Discussion

3393.	In figure ΔABC is an isosceles triangle with AB=ACand ∠ABC=50∘ . Find ∠BDC and ∠BEC.
Answer» In figure $Δ A B C$ is an isosceles triangle with $A B = A C$ and $∠ A B C = 50^{\circ}$ . Find $∠ B D C$ and $∠ B E C$ .

Discussion

3394.	if P(n):"(2^2n)-1 is divisible by k for all n belongs to N"is true then value of k is (6,3,7,2) -options
Answer» if P(n):"(2^2n)-1 is divisible by k for all n belongs to N"is true then value of k is (6,3,7,2) -options

Discussion

3395.	There are two water tanks atop a building, each of height 2 metres. One is a rectangular prism of base lengths 8 metres and 2 metres and the other is a square prism of base length 4 metres. What is the volume of each? What is the cost of painting the outer surface of each tank, at 250 rupees per square metre? Which costs less?
Answer» There are two water tanks atop a building, each of height 2 metres. One is a rectangular prism of base lengths 8 metres and 2 metres and the other is a square prism of base length 4 metres. What is the volume of each? What is the cost of painting the outer surface of each tank, at 250 rupees per square metre? Which costs less?

3395.

There are two water tanks atop a building, each of height 2 metres. One is a rectangular prism of base lengths 8 metres and 2 metres and the other is a square prism of base length 4 metres. What is the volume of each? What is the cost of painting the outer surface of each tank, at 250 rupees per square metre? Which costs less?

Answer»

There are two water tanks atop a building, each of height 2 metres. One is a rectangular prism of base lengths 8 metres and 2 metres and the other is a square prism of base length 4 metres. What is the volume of each? What is the cost of painting the outer surface of each tank, at 250 rupees per square metre? Which costs less?

Discussion

3396.	Given that ∠YPZ=110o. The angle ∠XZY is degrees, where P is the center of the given circle.
Answer» Given that $∠ Y P Z = 110^{o}$ . The angle ∠XZY is degrees, where P is the center of the given circle.

Discussion

3397.	is a factor of 4xy+2y+6x+3.
Answer» is a factor of $4 x y + 2 y + 6 x + 3$ .

Discussion

3398.	Sam buys a new ball and he wants to find the surface area of this ball. If the radius of the ball is 4 cm, then what will be its surface area?Note: take value of π=227.
Answer» Sam buys a new ball and he wants to find the surface area of this ball. If the radius of the ball is $4 cm$ , then what will be its surface area? Note: take value of $π = \frac{22}{7}$ .

Discussion

3399.	The maximum and minimum values of the function y= x3 - 3x2 + 6 are (1)2,0 (2) 6, 0 (4) 4, 2 (3) 6, 2
Answer» The maximum and minimum values of the function y= x3 - 3x2 + 6 are (1)2,0 (2) 6, 0 (4) 4, 2 (3) 6, 2

Discussion

3400.	Divide x3−125 by x2+5x+25 and find the quotient.
Answer» Divide $x^{3} - 125$ by $x^{2} + 5 x + 25$ and find the quotient.

Discussion

Explore topic-wise InterviewSolutions in .

The difference between the measure of an internal angle and an external angle of regular polygon is 1500. The number of diagonals that can be drawn is -

If, in ΔABC, r3=r1+r2+r, then ∠A+∠B=

The cube of 0.6 lies between

One card is drawn from a pack of 52 cards. Then, the probability of getting a red coloured king is ___.

If a + b +c =0 then what is the value of a ³ + b³ +c³=0?how to explain.

Question 1 (c)State whether true or false.(c) All squares are rhombuses and also rectangles.

At t minutes past 2pm the time needed by minutes hand and a clock to show 3pm was found to be 3 mins less than t square /4 mins. Find t.

12. Whay is a square root

Identify the possible functions for the following relations from given sets of independent variable to sets of dependent variable.

Express 53 as a sum of 5 consecutive odd number.

Expand: (i) (7x+8y)3 (ii) 101)3

A sum of Rs 9600 is invested for 3 years at 10% per annum at compound interest. (i) What is the sum due at the end of the first year?

Find the HCF of 12 , 18 , 24.

You want to conduct a survey on the popularity of Noodles among the students of different schools in your town. How would you design and choose your sample of study? Give reasons in support of your answer.

IMAGE FORMATION BY A PLANE MIRR

Factorise 200 as the product of its primes and list all its factors in the factor table.

The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

a number is selected at random from 1 to 25. the probability that it is prime

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Question 9 (ii)Solve the following pairs of equationx3+y4=45x6−y8=4

Question 1 (v)What will be the unit digit of the squares of the following number:1234

If the point (a, 2) lies on the graph of the linear equation 2x - 3y + 8 = 0, find the value of a.

Write each of the following numbers in expanded form:(i) 15,768(ii) 3,08,927(iii) 24,05,609(iv) 5,36,18,493(v) 6,06,06,006

In some pictographs, incomplete pictures are also shown to represent ______ the value of the objects they indicate.

What would be the graphical representation of the pair of linear equation 3x - 5y = -9 and 6x - 10y = -8

Question 84 (v)Simplify(1.5p+1.2q)2−(1.5p−1.2q)2

X^2

11. The number of parallelogram that can be formed from a set of four parallel line intersetting another set of three parallel lines is? (1) 6 (2) 18 (3) 12 (4) 9

Question 89 (viii)Factorise the following, using the identity, a2+2ab+b2=(a+b)2a2x2+2abxy+b2y2

A fair dice is rolled twice. The probability that an odd number will follow an even number is

In the given figure, what is z in terms of x and y?(a) x + y + 180(b) x + y − 180(c) 180° − (x + y) (d) x + y + 360°

Water is poured into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3. Find the number of hours it will take to fill the reservoir.

Find the difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years at 8 % per annum.

Find the values of the letters in the following and give reasons forthe steps involved.

Identify the property in the following statements: (i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).

Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and ∠O=70∘.

If 1-i1+i100=a+ib, find (a, b).

In a polygon, each interior angle is thrice the exterior angle. Find the number of sides of the polygon.

In figure ΔABC is an isosceles triangle with AB=ACand ∠ABC=50∘ . Find ∠BDC and ∠BEC.

if P(n):"(2^2n)-1 is divisible by k for all n belongs to N"is true then value of k is (6,3,7,2) -options

Given that ∠YPZ=110o. The angle ∠XZY is degrees, where P is the center of the given circle.

is a factor of 4xy+2y+6x+3.

Sam buys a new ball and he wants to find the surface area of this ball. If the radius of the ball is 4 cm, then what will be its surface area?Note: take value of π=227.

The maximum and minimum values of the function y= x3 - 3x2 + 6 are (1)2,0 (2) 6, 0 (4) 4, 2 (3) 6, 2

Divide x3−125 by x2+5x+25 and find the quotient.