19743 + Interview Questions in Mathematics Page 1 InterviewSolution

1.	Is there is any relation between equal and parallel lines
Answer» Is there is any relation between equal and parallel lines

Discussion

2.

Enter the following transactions in the Cash Book of Chandrika of Chandigarh: 2018 ₹ Jan 1 Chandrika commences business with cash 1,00,000 Jan 3 She opened a Bank Current Account with her Savings Account cheque 19,00,000 Jan 4 She receives cheque from Kirti & Co. on account 60,000 Jan 7 She pays into Bank Kirti & Co.'s cheque- 60,000 Jan 10 She advanced Ratan & Co. by cheque 35,000 Jan 12 Tripathi & Co. pays into her Bank A/c 47,500 Jan 15 She receives cheque from Warsi and allows him discount ₹ 3,500 45,000 Jan 20 She receives cash ₹ 7,500 and cheque ₹ 10,000 from Kalyan against credit balance Jan 25 She pays int Bank, including cheques received on 15th and 20th January 1,00,000 Jan 27 She pays by cheque for purchases of ₹ 27,500 plus CGST and SGST 6% each Jan 28 Cheque received from Warsi was dishonoured Jan 30 She pays sundry expenses in cash 50 Jan 30 She pays John & Co. in cash and is allowed discount ₹ 3,500 37,500 Jan 31 She pays office rent ₹ 20,000 plus CGST and SGST 6% each by cheque Jan 31 She draws a cheque for office use 40,000 Jan 31 She pays staff salaries by cheque 30,000 Jan 31 She pays cash for stationery ₹ 2,500 plus CGST and SGST 6% each Jan 31 She purchases goods for cash ₹ 12,500 plus CGST and SGST 6% each Jan 31 She pays Jagpal by cheque for commission ₹ 30,000 plus CGST and SGST 6% each Jan 31 She receives cheque for commission of ₹50,000 plus CGST and SGST 6% each from Raghubir & Co. and pays the same into bank Jan 31 Cash sales ₹ 45,000 plus CGST and SGST 6% each

Answer» Enter the following transactions in the Cash Book of Chandrika of Chandigarh:


2018		₹
Jan 1	Chandrika commences business with cash	1,00,000
Jan 3	She opened a Bank Current Account with her Savings Account cheque	19,00,000
Jan 4	She receives cheque from Kirti & Co. on account	60,000
Jan 7	She pays into Bank Kirti & Co.'s cheque $-$	60,000
Jan 10	She advanced Ratan & Co. by cheque	35,000
Jan 12	Tripathi & Co. pays into her Bank A/c	47,500
Jan 15	She receives cheque from Warsi and allows him discount ₹ 3,500	45,000
Jan 20	She receives cash ₹ 7,500 and cheque ₹ 10,000 from Kalyan against credit balance
Jan 25	She pays int Bank, including cheques received on 15th and 20th January	1,00,000
Jan 27	She pays by cheque for purchases of ₹ 27,500 plus CGST and SGST 6% each
Jan 28	Cheque received from Warsi was dishonoured
Jan 30	She pays sundry expenses in cash	50
Jan 30	She pays John & Co. in cash and is allowed discount ₹ 3,500	37,500
Jan 31	She pays office rent ₹ 20,000 plus CGST and SGST 6% each by cheque
Jan 31	She draws a cheque for office use	40,000
Jan 31	She pays staff salaries by cheque	30,000
Jan 31	She pays cash for stationery ₹ 2,500 plus CGST and SGST 6% each
Jan 31	She purchases goods for cash ₹ 12,500 plus CGST and SGST 6% each
Jan 31	She pays Jagpal by cheque for commission ₹ 30,000 plus CGST and SGST 6% each
Jan 31	She receives cheque for commission of ₹50,000 plus CGST and SGST 6% each from Raghubir & Co. and pays the same into bank
Jan 31	Cash sales ₹ 45,000 plus CGST and SGST 6% each

Discussion

3.	In taking out a Trial Balance, an Accountant finds an excess debit of ₹ 1,098. Being desirous of closing his books, he places the difference to Suspense A/c. Later on he detects the following errors:-1. Goods purchased from Surinder for ₹ 350 has been credited to his account as ₹ 530.2. Goods sold to Dinesh for ₹ 800 have been debited to his account as ₹ 880.3. A cheque of ₹ 1,250 received from a debtor had been correctly entered in the cash book but posted to his Personal A/c as ₹ 1,200.4. ₹ 780, paid for freight on machinery purchased was debited to Freight Account as ₹ 708.5. Goods to the value of ₹ 130 returned by a customer Navin Kumar had been posted to the debit of his account.6. ₹ 1,440 paid for repairs to Motor Car were debited to Motor Car A/c as ₹ 1,400.7. Total of purchase return book ₹ 500 was posted to the debit of Purchase A/c.Give necessary rectifying entries and prepare suspense account.
Answer» In taking out a Trial Balance, an Accountant finds an excess debit of ₹ 1,098. Being desirous of closing his books, he places the difference to Suspense A/c. Later on he detects the following errors:- 1. Goods purchased from Surinder for ₹ 350 has been credited to his account as ₹ 530. 2. Goods sold to Dinesh for ₹ 800 have been debited to his account as ₹ 880. 3. A cheque of ₹ 1,250 received from a debtor had been correctly entered in the cash book but posted to his Personal A/c as ₹ 1,200. 4. ₹ 780, paid for freight on machinery purchased was debited to Freight Account as ₹ 708. 5. Goods to the value of ₹ 130 returned by a customer Navin Kumar had been posted to the debit of his account. 6. ₹ 1,440 paid for repairs to Motor Car were debited to Motor Car A/c as ₹ 1,400. 7. Total of purchase return book ₹ 500 was posted to the debit of Purchase A/c. Give necessary rectifying entries and prepare suspense account.

Discussion

4.	Find the value of ((32)−1)−2.
Answer» Find the value of $({(\frac{3}{2})^{- 1})}^{- 2} .$

Discussion

5.

Prepare Purchases Return Book of Aruna Stores, Kolkata from the following transactions and post them into Ledger: 2018 Jan. 10 Returned to Sohan & Sons, Kolkata: 10 Rohtas fans 36'' ₹ 1,250 each Trade Discount 10% CGST and SGST was paid 6% each Jan. 25 Returned to Ram & Co., Delhi: 25 Tube-lights ₹ 200 each IGST was paid 12%

Answer» Prepare Purchases Return Book of Aruna Stores, Kolkata from the following transactions and post them into Ledger:

2018
Jan. 10	Returned to Sohan & Sons, Kolkata:
	10 Rohtas fans 36'' ₹ 1,250 each
	Trade Discount 10%
	CGST and SGST was paid 6% each
Jan. 25	Returned to Ram & Co., Delhi:
	25 Tube-lights ₹ 200 each
	IGST was paid 12%

Discussion

6.	Question 2 Construct a right triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
Answer» Question 2 Construct a right triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

Discussion

7.	At what angle must a transversal cut two parallel lines, such that all the angles thus formed in the system are equal?
Answer» At what angle must a transversal cut two parallel lines, such that all the angles thus formed in the system are equal?

Discussion

8.	Which of the following statement is true about the integer zero?
Answer» Which of the following statement is true about the integer zero?

Discussion

9.	Pentacontagon is the name given to a polygon having 50 sides. What will be the measure of one side of a regular pentacontagon if its perimeter is 1250 cm?
Answer» Pentacontagon is the name given to a polygon having 50 sides. What will be the measure of one side of a regular pentacontagon if its perimeter is 1250 cm?

Discussion

10.	The area of a room is 214 m2. If its breadth is 423 m, what is its length?
Answer» The area of a room is $\frac{21}{4} m^{2}$ . If its breadth is $\frac{42}{3}$ m, what is its length?

Discussion

11.	Sum of the interior angles of a triangle (in degrees) is ______ .180
Answer» Sum of the interior angles of a triangle (in degrees) is ______ . 180

Discussion

12.	Simplify the following expression: 2x2 + 3y + 5z2 + 10p + 6y + 7x2
Answer» Simplify the following expression: 2x²+ 3y + 5z²+ 10p + 6y + 7x²

Discussion

13.	(47−712)+12 equals
Answer» $(47 - 7 \frac{1}{2}) + \frac{1}{2}$ equals

Discussion

14.	Solve the following equations:2sin2x+2cos2x=22
Answer» Solve the following equations: $2^{\sin^{2} x} + 2^{\cos^{2} x} = 2 \sqrt{2}$

Discussion

15.	Question 1 (x)Find the square roots of each of the following numbers by Division method:1024
Answer» Question 1 (x) Find the square roots of each of the following numbers by Division method: 1024

15.

Question 1 (x)Find the square roots of each of the following numbers by Division method:1024

Answer»

Question 1 (x)

Find the square roots of each of the following numbers by Division method:

1024

Discussion

16.	If the perimeter of the shown tiled floor is 20 units, it’s area is ______ sq. units.
Answer» If the perimeter of the shown tiled floor is 20 units, it’s area is ______ sq. units.

Discussion

17.	A man running on a horizontal road at 8 km/hr, findsthe rain falling vertically. He increases his speed to12 km/hr and finds that the drops make angle 30^° with the vertical. Speed of rain with respect to road Is(1) 4\sqrt3 km/hr(2) 4 km/hr(3) 4\sqrt7 km/hr(3) 4\sqrt{13} km/hr
Answer» A man running on a horizontal road at 8 km/hr, findsthe rain falling vertically. He increases his speed to12 km/hr and finds that the drops make angle 30^° with the vertical. Speed of rain with respect to road Is(1) 4\sqrt3 km/hr(2) 4 km/hr(3) 4\sqrt7 km/hr(3) 4\sqrt{13} km/hr

Discussion

18.	If the interest on ₹ 32,000 is ₹ 4,800 for 3 years. What is the interest on ₹ 40,000 for 2 years at same rate of interest.
Answer» If the interest on ₹ 32,000 is ₹ 4,800 for 3 years. What is the interest on ₹ 40,000 for 2 years at same rate of interest.

Discussion

19.	Is the statement given below correct? Explain. "In the expression x + 4y + 4, the coefficient of x is 1, y is 4 and of 4 is 1". [2 MARKS]
Answer» Is the statement given below correct? Explain. "In the expression x + 4y + 4, the coefficient of x is 1, y is 4 and of 4 is 1". [2 MARKS]

Discussion

20.	Are decimals not rational numbers?
Answer» Are decimals not rational numbers?

Discussion

21.	Question 62 State whether the statement is True or False. An angle has two lines of symmetry.
Answer» Question 62 State whether the statement is True or False. An angle has two lines of symmetry.

Discussion

22.	The sum of two numbers is 31.26. If one of them is 11.76, what is the other number in fractional form?
Answer» The sum of two numbers is 31.26. If one of them is 11.76, what is the other number in fractional form?

Discussion

23.	Question 75(ii) Study the bar graph given below and answer the questions that follow: In which subject is the student very good?
Answer» Question 75(ii) Study the bar graph given below and answer the questions that follow: In which subject is the student very good?

Discussion

24.	Jonny baked 9x similar cookies with a total of x ounces of butter. The number of cookies, he baked with one ounce of butter is
Answer» Jonny baked $9 x$ similar cookies with a total of $x$ ounces of butter. The number of cookies, he baked with one ounce of butter is

Discussion

25.	The marks (out of 100) obtained by 7 students in Mathematics' examination are given below. Find the mode for these marks. 99, 100, 95, 100, 100, 60, 90
Answer» The marks (out of 100) obtained by 7 students in Mathematics' examination are given below. Find the mode for these marks. 99, 100, 95, 100, 100, 60, 90

Discussion

26.	Question 5 The equation which can not be solved in integers is (a) 5y - 3 = -18 (b) 3x - 9 = 0 (c) 3z + 8 = 3 + z (d) 9y + 8 = 4y - 7
Answer» Question 5 The equation which can not be solved in integers is (a) 5y - 3 = -18 (b) 3x - 9 = 0 (c) 3z + 8 = 3 + z (d) 9y + 8 = 4y - 7

26.

Question 5 The equation which can not be solved in integers is (a) 5y - 3 = -18 (b) 3x - 9 = 0 (c) 3z + 8 = 3 + z (d) 9y + 8 = 4y - 7

Answer»

Question 5

The equation which can not be solved in integers is

(a) 5y - 3 = -18

(b) 3x - 9 = 0

(c) 3z + 8 = 3 + z

(d) 9y + 8 = 4y - 7

Discussion

27.	Name the following angles of the given figure using three letters. a) ∠1b) ∠2c) ∠3
Answer» Name the following angles of the given figure using three letters. a) $∠ 1$ b) $∠ 2$ c) $∠ 3$

27.

Name the following angles of the given figure using three letters. a) ∠1b) ∠2c) ∠3

Answer»

Name the following angles of the given figure using three letters.

a) $∠ 1$

b) $∠ 2$

c) $∠ 3$

Discussion

28.	If y varies inversely as the square of x, and x=4 when y=3, then value of y, when x=2 is .
Answer» If $y$ varies inversely as the square of $x$ , and $x = 4$ when $y = 3$ , then value of $y$ , when $x = 2$ is .

Discussion

29.	Question 10The mean of the following distribution is 50.x1030507090f175a+3327a−1119Find the value of a and hence the frequencies of 30 and 70.
Answer» Question 10 The mean of the following distribution is 50. $\begin{matrix} x & 10 & 30 & 50 & 70 & 90 f & 17 & 5 a + 3 & 32 & 7 a - 11 & 19 \end{matrix}$ Find the value of a and hence the frequencies of 30 and 70.

Discussion

30.	A manufacturer has the following data regarding a product:Fixed cost per month = Rs. 50000Variable cost per unit = Rs. 200Selling price per unit = Rs. 300Production capacity = 1500 units per monthIf the production is carried out at 80% of the rated capacity, then the monthly profit (in Rs.) is .70000
Answer» A manufacturer has the following data regarding a product: Fixed cost per month = Rs. 50000 Variable cost per unit = Rs. 200 Selling price per unit = Rs. 300 Production capacity = 1500 units per month If the production is carried out at 80% of the rated capacity, then the monthly profit (in Rs.) is . 70000

Discussion

31.	If 1 measuring cup = 250ml, there are cups in 6 liters.
Answer» $If 1 measuring cup = 250ml,$ $there are$ $cups in 6 liters.$

Discussion

32.	Question 110 In ΔXYZ, the measure of ∠X is 30∘ greater than the measure of ∠Y and ∠Z is a right angle. Find measure of ∠Y
Answer» Question 110 In $Δ X Y Z$ , the measure of $∠ X$ is $30^{\circ}$ greater than the measure of $∠ Y$ and $∠ Z$ is a right angle. Find measure of $∠ Y$

32.

Question 110 In ΔXYZ, the measure of ∠X is 30∘ greater than the measure of ∠Y and ∠Z is a right angle. Find measure of ∠Y

Answer»

Question 110

In $Δ X Y Z$ , the measure of $∠ X$ is $30^{\circ}$ greater than the measure of $∠ Y$ and $∠ Z$ is a right angle. Find measure of $∠ Y$

Discussion

33.	Express 16,200 as a product of powers of prime numbers in the exponential form.
Answer» Express 16,200 as a product of powers of prime numbers in the exponential form.

Discussion

34.	Find the area of the shaded portion in the following figures.
Answer» Find the area of the shaded portion in the following figures.

34.

Find the area of the shaded portion in the following figures.

Answer»

Find the area of the shaded portion in the following figures.

Discussion

35.	There are 14 girls in Sam's class of 25 students. He finds that the number of girls is of the total number of students of the class.
Answer» There are 14 girls in Sam's class of 25 students. He finds that the number of girls is of the total number of students of the class.

Discussion

36.	The weight of 50 identical books is 25 kg. What is the weight of one such book?
Answer» The weight of 50 identical books is 25 kg. What is the weight of one such book?

Discussion

37.

Complete the following table using subtraction rule: +6 −7 +10 −2 +8 −5 +8 −5 +6 +4 −4 +10 −15

Answer»

Complete the following table using subtraction rule:

	+6	−7	+10	−2	+8	−5
+8
−5
+6			+4
−4
+10						−15

Discussion

38.	In the given figure, if ∠a ≅ ∠b and ∠x ≅ ∠ythen prove that line l \|\| line n.
Answer» In the given figure, if $∠$ a $≅$ $∠$ b and $∠$ x $≅$ $∠$ y then prove that line l \|\| line n.

Discussion

39.	If a regular polygon has n sides, then the sum of its exterior angles is
Answer» If a regular polygon has n sides, then the sum of its exterior angles is

Discussion

40.	Construct a triangle XYZ, in which XY = 6 cm, YZ = 8 cm and ZX = 5.5 cm.
Answer» Construct a triangle XYZ, in which XY = 6 cm, YZ = 8 cm and ZX = 5.5 cm.

Discussion

41.	3. The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44m(square).If the pipe is made of 99cm(cube) of metal,find the outer and inner radii of pipe.
Answer» 3. The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44m(square).If the pipe is made of 99cm(cube) of metal,find the outer and inner radii of pipe.

Discussion

42.	The sum of the three consecutive odd numbers is 159. Find the numbers.
Answer» The sum of the three consecutive odd numbers is 159. Find the numbers.

Discussion

43.	A view of die is shown below.The number of dots on the opposite faces add to 7.Complete the markings on the missing faces?
Answer» A view of die is shown below. The number of dots on the opposite faces add to 7. Complete the markings on the missing faces?

Discussion

44.	In a cricket match, a batsman hits a boundary 5 times out of the 30 balls he plays .Find the probability he did not hit a boundary.
Answer» In a cricket match, a batsman hits a boundary 5 times out of the 30 balls he plays .Find the probability he did not hit a boundary.

44.

In a cricket match, a batsman hits a boundary 5 times out of the 30 balls he plays .Find the probability he did not hit a boundary.

Answer»

In a cricket match, a batsman hits a boundary 5 times out of the 30 balls he plays .Find the probability he did not hit a boundary.

Discussion

45.	If CD and PQ are parallel to each other, then ∠1=
Answer» If $C D$ and $P Q$ are parallel to each other, then $∠ 1 =$

Discussion

46.	The shaded region OAB is known as ___________ .
Answer» The shaded region OAB is known as ___________ .

46.

The shaded region OAB is known as ___________ .

Answer»

The shaded region OAB is known as ___________ .

Discussion

47.	Illustrate how interest on drawings will be calculated under various situations.
Answer» Illustrate how interest on drawings will be calculated under various situations.

Discussion

48.	If altitudes drawn from two vertices of a triangle to opposite sides are equal. Prove that triangle is isoceles.
Answer» If altitudes drawn from two vertices of a triangle to opposite sides are equal. Prove that triangle is isoceles.

Discussion

49.

Find:(i) (ii) (iii) (iv) (v) (vi) (vii) (viii)

Answer»

Find:

(i) (ii) (iii)

(iv) (v) (vi)

(vii) (viii)

Discussion

50.

Which of the following are Fibonacci sequences ? a) 7,8,15,23, 38,.... b) 9,10, 19,29,... c) 6,7,13,20,33,.... d) 5,6,13,21,54,....

Answer»

Which of the following are Fibonacci sequences ?

a) 7,8,15,23, 38,....

b) 9,10, 19,29,...

c) 6,7,13,20,33,....

d) 5,6,13,21,54,....

Discussion

Explore topic-wise InterviewSolutions in .

Is there is any relation between equal and parallel lines

Find the value of ((32)−1)−2.

Question 2 Construct a right triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

At what angle must a transversal cut two parallel lines, such that all the angles thus formed in the system are equal?

Which of the following statement is true about the integer zero?

Pentacontagon is the name given to a polygon having 50 sides. What will be the measure of one side of a regular pentacontagon if its perimeter is 1250 cm?

The area of a room is 214 m2. If its breadth is 423 m, what is its length?

Sum of the interior angles of a triangle (in degrees) is ______ .180

Simplify the following expression: 2x2 + 3y + 5z2 + 10p + 6y + 7x2

(47−712)+12 equals

Solve the following equations:2sin2x+2cos2x=22

Question 1 (x)Find the square roots of each of the following numbers by Division method:1024

If the perimeter of the shown tiled floor is 20 units, it’s area is ______ sq. units.

A man running on a horizontal road at 8 km/hr, findsthe rain falling vertically. He increases his speed to12 km/hr and finds that the drops make angle 30^° with the vertical. Speed of rain with respect to road Is(1) 4\sqrt3 km/hr(2) 4 km/hr(3) 4\sqrt7 km/hr(3) 4\sqrt{13} km/hr

If the interest on ₹ 32,000 is ₹ 4,800 for 3 years. What is the interest on ₹ 40,000 for 2 years at same rate of interest.

Is the statement given below correct? Explain. "In the expression x + 4y + 4, the coefficient of x is 1, y is 4 and of 4 is 1". [2 MARKS]

Are decimals not rational numbers?

Question 62 State whether the statement is True or False. An angle has two lines of symmetry.

The sum of two numbers is 31.26. If one of them is 11.76, what is the other number in fractional form?

Question 75(ii) Study the bar graph given below and answer the questions that follow: In which subject is the student very good?

Jonny baked 9x similar cookies with a total of x ounces of butter. The number of cookies, he baked with one ounce of butter is

The marks (out of 100) obtained by 7 students in Mathematics' examination are given below. Find the mode for these marks. 99, 100, 95, 100, 100, 60, 90

Question 5 The equation which can not be solved in integers is (a) 5y - 3 = -18 (b) 3x - 9 = 0 (c) 3z + 8 = 3 + z (d) 9y + 8 = 4y - 7

Name the following angles of the given figure using three letters. a) ∠1b) ∠2c) ∠3

If y varies inversely as the square of x, and x=4 when y=3, then value of y, when x=2 is .

Question 10The mean of the following distribution is 50.x1030507090f175a+3327a−1119Find the value of a and hence the frequencies of 30 and 70.

If 1 measuring cup = 250ml, there are cups in 6 liters.

Question 110 In ΔXYZ, the measure of ∠X is 30∘ greater than the measure of ∠Y and ∠Z is a right angle. Find measure of ∠Y

Express 16,200 as a product of powers of prime numbers in the exponential form.

Find the area of the shaded portion in the following figures.

There are 14 girls in Sam's class of 25 students. He finds that the number of girls is of the total number of students of the class.

The weight of 50 identical books is 25 kg. What is the weight of one such book?

Complete the following table using subtraction rule: +6 −7 +10 −2 +8 −5 +8 −5 +6 +4 −4 +10 −15

In the given figure, if ∠a ≅ ∠b and ∠x ≅ ∠ythen prove that line l || line n.

If a regular polygon has n sides, then the sum of its exterior angles is

Construct a triangle XYZ, in which XY = 6 cm, YZ = 8 cm and ZX = 5.5 cm.

3. The difference between outside and inside surface areas of cylindrical metallic pipe 14cm long is 44m(square).If the pipe is made of 99cm(cube) of metal,find the outer and inner radii of pipe.

The sum of the three consecutive odd numbers is 159. Find the numbers.

A view of die is shown below.The number of dots on the opposite faces add to 7.Complete the markings on the missing faces?

In a cricket match, a batsman hits a boundary 5 times out of the 30 balls he plays .Find the probability he did not hit a boundary.

If CD and PQ are parallel to each other, then ∠1=

The shaded region OAB is known as ___________ .

Illustrate how interest on drawings will be calculated under various situations.

If altitudes drawn from two vertices of a triangle to opposite sides are equal. Prove that triangle is isoceles.

Find:(i) (ii) (iii) (iv) (v) (vi) (vii) (viii)

Which of the following are Fibonacci sequences ? a) 7,8,15,23, 38,.... b) 9,10, 19,29,... c) 6,7,13,20,33,.... d) 5,6,13,21,54,....