19743 + Interview Questions in Mathematics Page 184 InterviewSolution

9151.	Question 115(i)Express the following in standard form.The mass of a proton in grams is16731000000000000000000000000000
Answer» Question 115(i) Express the following in standard form.The mass of a proton in grams is $\frac{1673}{1000000000000000000000000000}$

9151.

Question 115(i)Express the following in standard form.The mass of a proton in grams is16731000000000000000000000000000

Answer»

Question 115(i)

Express the following in standard form.The mass of a proton in grams is $\frac{1673}{1000000000000000000000000000}$

9152.	A father wants to divide ₹ 1800 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective share
Answer» A father wants to divide ₹ 1800 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective share

Discussion

9153.	A man purchased a certain 10 kg of sugar at ₹600. He sold half of it at a loss of 5% and the remaining at a loss of 7%. Find the total loss amount.
Answer» A man purchased a certain 10 kg of sugar at ₹600. He sold half of it at a loss of 5% and the remaining at a loss of 7%. Find the total loss amount.

Discussion

9154.	An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.
Answer» An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.

Discussion

9155.	is a polynomial expression.
Answer» is a polynomial expression.

Discussion

9156.	If ED is parallel to AB, then angle n is equal to ___
Answer» If ED is parallel to AB, then angle n is equal to ___

9156.

If ED is parallel to AB, then angle n is equal to ___

Answer»

If ED is parallel to AB, then angle n is equal to

___

Discussion

9157.	If 20 men can consume a certain quantity of rice in 14 days in how many days will 8 men consume the same quantity of rice
Answer» If 20 men can consume a certain quantity of rice in 14 days in how many days will 8 men consume the same quantity of rice

Discussion

9158.	the denominator of a rational number exceed by 6 . if 1 is subtracted from a numerator as well as denominator, the value of the new rational number is half .find the original rational number.
Answer» the denominator of a rational number exceed by 6 . if 1 is subtracted from a numerator as well as denominator, the value of the new rational number is half .find the original rational number.

Discussion

9159.	Vignesh has two angles, ∠A and ∠B. He arranged those two angles on a paper such that they are complementary. Which of the following arrangements did he make?
Answer» Vignesh has two angles, $∠$ A and $∠$ B. He arranged those two angles on a paper such that they are complementary. Which of the following arrangements did he make?

9159.

Vignesh has two angles, ∠A and ∠B. He arranged those two angles on a paper such that they are complementary. Which of the following arrangements did he make?

Answer»

Vignesh has two angles, $∠$ A and $∠$ B. He arranged those two angles on a paper such that they are complementary. Which of the following arrangements did he make?

Discussion

9160.	Study the following graph carefully and answer the questions based on it.By what percentage is the rose production of other states more than that of the Gujarat?
Answer» Study the following graph carefully and answer the questions based on it. By what percentage is the rose production of other states more than that of the Gujarat?

Discussion

9161.	5 apples + 13 oranges =
Answer» 5 apples + 13 oranges =

Discussion

9162.	In a village, out of 60 couples, 15 couples were married at the age of 21 to 23, 25 couples were married at the age of 24 to 27 and 16 couples were married at the age of 28 to 30. The rest, after the age of 30. What is the probability that a couple gets married after the age of 30?
Answer» In a village, out of 60 couples, 15 couples were married at the age of 21 to 23, 25 couples were married at the age of 24 to 27 and 16 couples were married at the age of 28 to 30. The rest, after the age of 30. What is the probability that a couple gets married after the age of 30?

Discussion

9163.	Two two way table given shows the different flavours of ice-cream being loved by the different categories of person.Find out the number of teens who love vanilla ice-cream?
Answer» Two two way table given shows the different flavours of ice-cream being loved by the different categories of person. Find out the number of teens who love vanilla ice-cream?

Discussion

9164.	3+3+3+3+3+3=
Answer» 3+3+3+3+3+3=

Discussion

9165.	Solve the following:(1) Which number must be divided by 5 to get the quotient 6?(2) By how much is 20 divided to get (−5)?(3) If , then find the missing integer.(4) If the fill the gap(5) −10 ÷ 2 = −5 write this by using multiplication sign.
Answer» Solve the following: (1) Which number must be divided by 5 to get the quotient 6? (2) By how much is 20 divided to get (−5)? (3) If , then find the missing integer. (4) If the fill the gap (5) −10 ÷ 2 = −5 write this by using multiplication sign.

9165.

Solve the following:(1) Which number must be divided by 5 to get the quotient 6?(2) By how much is 20 divided to get (−5)?(3) If , then find the missing integer.(4) If the fill the gap(5) −10 ÷ 2 = −5 write this by using multiplication sign.

Answer»

Solve the following:

(1) Which number must be divided by 5 to get the quotient 6?

(2) By how much is 20 divided to get (−5)?

(3) If , then find the missing integer.

(4) If the fill the gap

(5) −10 ÷ 2 = −5 write this by using multiplication sign.

Discussion

9166.	If 5 of your friends ate one slice each from a medium pizza containing 6 slices, what part of the pizza did you eat?
Answer» If 5 of your friends ate one slice each from a medium pizza containing 6 slices, what part of the pizza did you eat?

Discussion

9167.	Question 72 Check whether a polyhedron can have V = 12, E = 6 and F = 8.
Answer» Question 72 Check whether a polyhedron can have V = 12, E = 6 and F = 8.

Discussion

9168.	25. S and T are the focii of an ellipse and B is the end of minor axis .If STB is an equilateral triangle then the eccentricity of the ellipse is
Answer» 25. S and T are the focii of an ellipse and B is the end of minor axis .If STB is an equilateral triangle then the eccentricity of the ellipse is

Discussion

9169.	Find pythagorean triplet with the smallest number as 10
Answer» Find pythagorean triplet with the smallest number as 10

Discussion

9170.	Express 12 as a product of its prime factors.
Answer» Express 12 as a product of its prime factors.

Discussion

9171.

Following are the balances extracted from the books of Narain Lal on 31st March, 2018: Particulars Amount (₹) Particulars Amount (₹) Narain Lal's Capital 3,00,000 Sales 15,00,000 Narain Lal's Drawings 50,000 Sales Return 20,000 Furniture and Fittings 26,000 Discount (Dr.) 16,000 Bank Overdraft 42,000 Discounts (Cr.) 20,000 Creditors 1,38,000 Insurance 20,000 Business Premises 2,00,000 General Expenses 40,000 Stock on 1st April, 2017 2,20,000 Salaries 90,000 Debtors 1,80,000 Commission (Dr.) 22,000 Rent from Tenants 10,000 Carriage on Purchases 18,000 Purchases 11,00,000 Bad Debts Written off 8,000 Additional Information:(i) Closing Stock as on 31st March, 2018 was ₹2,00,600.(ii) Depreciate: Business Premises by ₹3,000 and Furniture and Fittings by ₹2,500.(iii) Make a provision of 5% on debtors for doubtful debts.(iv) Carry forward ₹2,000 for unexpired insurance.(v) Outstanding salary was ₹15,000.Prepare Trading and Profit and Loss Account for the year and Balance Sheet as at that date.

Answer» Following are the balances extracted from the books of Narain Lal on 31st March, 2018:


Particulars	Amount (₹)	Particulars	Amount (₹)
Narain Lal's Capital	3,00,000	Sales	15,00,000
Narain Lal's Drawings	50,000	Sales Return	20,000
Furniture and Fittings	26,000	Discount (Dr.)	16,000
Bank Overdraft	42,000	Discounts (Cr.)	20,000
Creditors	1,38,000	Insurance	20,000
Business Premises	2,00,000	General Expenses	40,000
Stock on 1st April, 2017	2,20,000	Salaries	90,000
Debtors	1,80,000	Commission (Dr.)	22,000
Rent from Tenants	10,000	Carriage on Purchases	18,000
Purchases	11,00,000	Bad Debts Written off	8,000

Additional Information:

(i) Closing Stock as on 31st March, 2018 was ₹2,00,600.

(ii) Depreciate: Business Premises by ₹3,000 and Furniture and Fittings by ₹2,500.

(iii) Make a provision of 5% on debtors for doubtful debts.

(iv) Carry forward ₹2,000 for unexpired insurance.

(v) Outstanding salary was ₹15,000.

Prepare Trading and Profit and Loss Account for the year and Balance Sheet as at that date.

Discussion

9172.	On a 200 km track, a train travels the first 50 km at a uniform speed of 40 km/h. How fast the train must travel the next 150 km so aa to maintain the average speed of 60 km/h for the whole journey
Answer» On a 200 km track, a train travels the first 50 km at a uniform speed of 40 km/h. How fast the train must travel the next 150 km so aa to maintain the average speed of 60 km/h for the whole journey

Discussion

9173.	20. What is the Square root of 2.56 explain
Answer» 20. What is the Square root of 2.56 explain

Discussion

9174.	What is the median of the following data? 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.
Answer» What is the median of the following data? 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

Discussion

9175.	If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.
Answer» If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.

Discussion

9176.	The two interior opposite angles of an exterior angle of a triangle are 60∘ and 80∘. Find the measure of the exterior angle.
Answer» The two interior opposite angles of an exterior angle of a triangle are $60^{\circ}$ and $80^{\circ}$ . Find the measure of the exterior angle.

Discussion

9177.	Construct a triangle EPG, given EP = 8.4 cm, ∠E = 65°, ∠P = 30° Measure the sides PG and EG. Write the steps of construction.
Answer» Construct a triangle EPG, given EP = 8.4 cm, ∠E = 65°, ∠P = 30° Measure the sides PG and EG. Write the steps of construction.

Discussion

9178.	Ravnish runs around aa square park of side 98 metre . Rohit runs around a rectangular park of length 284 metre and breadth 35 metre . Who covers less distance and by how much ?
Answer» Ravnish runs around aa square park of side 98 metre . Rohit runs around a rectangular park of length 284 metre and breadth 35 metre . Who covers less distance and by how much ?

Discussion

9179.	Simplify the following:(i) 3a4b310×5a2b23(ii) 2x-2y33(iii) 4×1076×10-58×104(iv) 4ab2-5ab310a2b2(v) x2y2a2b3n(vi) a3n-96a2n-4
Answer» Simplify the following: (i) $3 {(a^{4} b^{3})}^{10} \times 5 {(a^{2} b^{2})}^{3}$ (ii) ${(2 x^{- 2} y^{3})}^{3}$ (iii) $\frac{(4 \times 10^{7}) (6 \times 10^{- 5})}{8 \times 10^{4}}$ (iv) $\frac{4 a b^{2} (- 5 a b^{3})}{10 a^{2} b^{2}}$ (v) ${(\frac{x^{2} y^{2}}{a^{2} b^{3}})}^{n}$ (vi) $\frac{{(a^{3 n - 9})}^{6}}{a^{2 n - 4}}$

Discussion

9180.	Select the correct option(s).
Answer» Select the correct option(s).

Discussion

9181.	If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =(a) 35(b) 58(c) 127(d) none of these
Answer» If a + b + c = 9 and ab + bc + ca = 23, then a² + b² + c² = (a) 35 (b) 58 (c) 127 (d) none of these

Discussion

9182.	Which of the following terms is absent in irreducible form of 5x2y+ 15x2+ 10xy + 30x
Answer» Which of the following terms is absent in irreducible form of 5 $x^{2} y$ + 15 $x^{2}$ + 10xy + 30x

Discussion

9183.	The surface area of a cuboid is 1372 cm2. If its dimensions (l : b : h) are in the ratio 4 : 2 : 1, then find the length of the cuboid (in cm).
Answer» The surface area of a cuboid is 1372 ${c m}^{2}$ . If its dimensions (l : b : h) are in the ratio 4 : 2 : 1, then find the length of the cuboid (in cm).

Discussion

9184.	Construct a triangle ABC in which BC=8 cm, ∠B=45∘ and AB−AC=3.5 cm.
Answer» Construct a triangle ABC in which $B C = 8 c m, ∠ B = 45^{\circ} a n d A B - A C = 3.5 c m$ .

Discussion

9185.	A sum of Rs 1,780 becomes Rs 2,136 in 4 years. Find the rate of interest.
Answer» A sum of Rs 1,780 becomes Rs 2,136 in 4 years. Find the rate of interest.

Discussion

9186.	Verify: 34+(−56+78)=(34+−56)+78 [4 MARKS]
Answer» Verify: $\frac{3}{4} + (\frac{- 5}{6} + \frac{7}{8}) = (\frac{3}{4} + \frac{- 5}{6}) + \frac{7}{8}$ [4 MARKS]

Discussion

9187.	What is a graph?
Answer» What is a graph?

Discussion

9188.	Question 4 The range of the data 21, 6, 17, 18, 12, 8, 4, 13 is (a) 17 (b) 12 (c) 8 (d) 15
Answer» Question 4 The range of the data 21, 6, 17, 18, 12, 8, 4, 13 is (a) 17 (b) 12 (c) 8 (d) 15

Discussion

9189.	A linear equation in one variable is _________.
Answer» A linear equation in one variable is _________.

Discussion

9190.	Use log table to find 0.7214 20.37 / 69.8
Answer» Use log table to find 0.7214 20.37 / 69.8

Discussion

9191.	Mention the different types of bank accounts.
Answer» Mention the different types of bank accounts.

Discussion

9192.

On an environment day, students in a school planted 120 trees under plantation project. The information regarding the project is shown in the following table. Show it by a pie diagram. Tree name Karanj Behada Arjun Bakul Kadunimb No. of trees 20 28 24 22 26

Answer» On an environment day, students in a school planted 120 trees under plantation project. The information regarding the project is shown in the following table. Show it by a pie diagram.

Tree name	Karanj	Behada	Arjun	Bakul	Kadunimb
No. of trees	20	28	24	22	26

Discussion

9193.	Question 136 Write the following rational numbers in the descending order. 87,−98,−32,0,25
Answer» Question 136 Write the following rational numbers in the descending order. $\frac{8}{7}, \frac{- 9}{8}, \frac{- 3}{2}, 0, \frac{2}{5}$

Discussion

9194.	Find the value of x: 2x+5=10.
Answer» Find the value of x: 2x+5=10.

Discussion

9195.	A's weight is 50 kg more than that of B. What is the ratio of A's weight to B's weight? (Let's take B's weight as x kg)
Answer» A's weight is 50 kg more than that of B. What is the ratio of A's weight to B's weight? (Let's take B's weight as x kg)

Discussion

9196.	Which one of the following expressions is equivalent to 1010 ÷ 105?
Answer» Which one of the following expressions is equivalent to $10^{10} \div 10^{5}$ ?

Discussion

9197.	71. For positive integers m and n, let gcd(m,n) denote the largest integer that is a factor of both m and n. Compute gcd(1, 155) + gcd(2, 155) + · · · + gcd(155,
Answer» 71. For positive integers m and n, let gcd(m,n) denote the largest integer that is a factor of both m and n. Compute gcd(1, 155) + gcd(2, 155) + · · · + gcd(155,

Discussion

9198.

Enter the following transactions in Two-column Cash Book of Gaurav, Delhi: 2018 ₹ April 1 Opening Balance of Cash in Hand 1,00,000 Opening Balance of Bank Overdraft 5,00,000 April 2 Sold goods for cash, including CGST and SGST 6% each 4,48,000 April 3 Sold goods including CGST and SGST 6% each against cheque and paid into bank the same day 3,36,000 April 5 Sold goods to Reema, including IGST 12% 1,12,000 April 6 Ram paid by cheque 78,000 Discount allowed 2,000 April 7 Bought goods from Rahul, Gurugram for ₹48,000 plus CGST and SGST 6% each and paid him by cheque 44,800 Salary paid to staff by cheque 2,20,000 April 10 Deposited into bank 3,10,000 April 11 Received a cheque from Suresh and paid into bank 1,28,000 Discount allowed 1,500 April 15 Received from R. Kumar a cheque for a full settlement of his account for ₹1,95,000 1,87,500 April 18 Paid wages in cash 30,000 April 20 Bank charges, including CGST and SGST 6% each 5,600 April 22 Withdrew from bank for office use 1,00,000 Withdrew from Bank for personal use 1,20,000 April 25 Paid electricity bill by cheque 31,500 Issued a cheque in favour of Sudha as advance for purchase of house of Gaurav 2,00,000 April 26 Received a cheque from Amar 58,200 Allowed discount to him 1,800 April 28 Cheque received from Amar sent to bank April 30 Bank collected interest received on investments 15,000 Paid rent for the month of May, 2018, including CGST and SGST 6% each 22,400

Answer» Enter the following transactions in Two-column Cash Book of Gaurav, Delhi:


2018		₹
April 1	Opening Balance of Cash in Hand	1,00,000
	Opening Balance of Bank Overdraft	5,00,000
April 2	Sold goods for cash, including CGST and SGST 6% each	4,48,000
April 3	Sold goods including CGST and SGST 6% each against cheque and paid into bank the same day	3,36,000
April 5	Sold goods to Reema, including IGST 12%	1,12,000
April 6	Ram paid by cheque	78,000
	Discount allowed	2,000
April 7	Bought goods from Rahul, Gurugram for ₹48,000 plus CGST and SGST 6% each and paid him by cheque	44,800
	Salary paid to staff by cheque	2,20,000
April 10	Deposited into bank	3,10,000
April 11	Received a cheque from Suresh and paid into bank	1,28,000
	Discount allowed	1,500
April 15	Received from R. Kumar a cheque for a full settlement of his account for ₹1,95,000	1,87,500
April 18	Paid wages in cash	30,000
April 20	Bank charges, including CGST and SGST 6% each	5,600
April 22	Withdrew from bank for office use	1,00,000
	Withdrew from Bank for personal use	1,20,000
April 25	Paid electricity bill by cheque	31,500
	Issued a cheque in favour of Sudha as advance for purchase of house of Gaurav	2,00,000
April 26	Received a cheque from Amar	58,200
	Allowed discount to him	1,800
April 28	Cheque received from Amar sent to bank
April 30	Bank collected interest received on investments	15,000
	Paid rent for the month of May, 2018, including CGST and SGST 6% each	22,400

Discussion

9199.

The digits of a two digit number differ by 2. If the digits are interchanged and resulting number is added to the original number we get 88.What is the original number?

Answer»

The digits of a two digit number differ by 2. If the digits are interchanged and resulting number is added to the original number we get 88.

What is the original number?

Discussion

9200.

Express the following decimals in fractional form.

Answer»

Express the following decimals in fractional form.

Discussion

Explore topic-wise InterviewSolutions in .

Question 115(i)Express the following in standard form.The mass of a proton in grams is16731000000000000000000000000000

A father wants to divide ₹ 1800 among his sons in the ratio of their ages. Their ages are 12 years and 15 years. Find their respective share

A man purchased a certain 10 kg of sugar at ₹600. He sold half of it at a loss of 5% and the remaining at a loss of 7%. Find the total loss amount.

An article marked at ₹5000 is sold for ₹4200. Find the discount and discount percentage.

is a polynomial expression.

If ED is parallel to AB, then angle n is equal to ___

If 20 men can consume a certain quantity of rice in 14 days in how many days will 8 men consume the same quantity of rice

the denominator of a rational number exceed by 6 . if 1 is subtracted from a numerator as well as denominator, the value of the new rational number is half .find the original rational number.

Vignesh has two angles, ∠A and ∠B. He arranged those two angles on a paper such that they are complementary. Which of the following arrangements did he make?

Study the following graph carefully and answer the questions based on it.By what percentage is the rose production of other states more than that of the Gujarat?

5 apples + 13 oranges =

In a village, out of 60 couples, 15 couples were married at the age of 21 to 23, 25 couples were married at the age of 24 to 27 and 16 couples were married at the age of 28 to 30. The rest, after the age of 30. What is the probability that a couple gets married after the age of 30?

Two two way table given shows the different flavours of ice-cream being loved by the different categories of person.Find out the number of teens who love vanilla ice-cream?

3+3+3+3+3+3=

Solve the following:(1) Which number must be divided by 5 to get the quotient 6?(2) By how much is 20 divided to get (−5)?(3) If , then find the missing integer.(4) If the fill the gap(5) −10 ÷ 2 = −5 write this by using multiplication sign.

If 5 of your friends ate one slice each from a medium pizza containing 6 slices, what part of the pizza did you eat?

Question 72 Check whether a polyhedron can have V = 12, E = 6 and F = 8.

25. S and T are the focii of an ellipse and B is the end of minor axis .If STB is an equilateral triangle then the eccentricity of the ellipse is

Find pythagorean triplet with the smallest number as 10

Express 12 as a product of its prime factors.

On a 200 km track, a train travels the first 50 km at a uniform speed of 40 km/h. How fast the train must travel the next 150 km so aa to maintain the average speed of 60 km/h for the whole journey

20. What is the Square root of 2.56 explain

What is the median of the following data? 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.

The two interior opposite angles of an exterior angle of a triangle are 60∘ and 80∘. Find the measure of the exterior angle.

Construct a triangle EPG, given EP = 8.4 cm, ∠E = 65°, ∠P = 30° Measure the sides PG and EG. Write the steps of construction.

Ravnish runs around aa square park of side 98 metre . Rohit runs around a rectangular park of length 284 metre and breadth 35 metre . Who covers less distance and by how much ?

Simplify the following:(i) 3a4b310×5a2b23(ii) 2x-2y33(iii) 4×1076×10-58×104(iv) 4ab2-5ab310a2b2(v) x2y2a2b3n(vi) a3n-96a2n-4

Select the correct option(s).

If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =(a) 35(b) 58(c) 127(d) none of these

Which of the following terms is absent in irreducible form of 5x2y+ 15x2+ 10xy + 30x

The surface area of a cuboid is 1372 cm2. If its dimensions (l : b : h) are in the ratio 4 : 2 : 1, then find the length of the cuboid (in cm).

Construct a triangle ABC in which BC=8 cm, ∠B=45∘ and AB−AC=3.5 cm.

A sum of Rs 1,780 becomes Rs 2,136 in 4 years. Find the rate of interest.

Verify: 34+(−56+78)=(34+−56)+78 [4 MARKS]

What is a graph?

Question 4 The range of the data 21, 6, 17, 18, 12, 8, 4, 13 is (a) 17 (b) 12 (c) 8 (d) 15

A linear equation in one variable is _________.

Use log table to find 0.7214 20.37 / 69.8

Mention the different types of bank accounts.

On an environment day, students in a school planted 120 trees under plantation project. The information regarding the project is shown in the following table. Show it by a pie diagram. Tree name Karanj Behada Arjun Bakul Kadunimb No. of trees 20 28 24 22 26

Question 136 Write the following rational numbers in the descending order. 87,−98,−32,0,25

Find the value of x: 2x+5=10.

A's weight is 50 kg more than that of B. What is the ratio of A's weight to B's weight? (Let's take B's weight as x kg)

Which one of the following expressions is equivalent to 1010 ÷ 105?

71. For positive integers m and n, let gcd(m,n) denote the largest integer that is a factor of both m and n. Compute gcd(1, 155) + gcd(2, 155) + · · · + gcd(155,

The digits of a two digit number differ by 2. If the digits are interchanged and resulting number is added to the original number we get 88.What is the original number?

Express the following decimals in fractional form.