3597 + Interview Questions in Mathematics Page 37 InterviewSolution

1801.	42. The side of a cube is measured by a Vernier calliper,whose 10 divisions of the vernier scale are equal to8 divisions of main scale. If the main scale readsV1al10 mm and second division of vernier scaleclecoincides with one of the main scale division, thenthe volume of the cube in appropriate significantfigures is (take 1 MSD 1 mm)(1) 2.76 cm3(3) 1.12 cm3The statement "Science is not just a collection of(2) 1.03 cm3(4) 1.00 cm343.
Answer» 42. The side of a cube is measured by a Vernier calliper,whose 10 divisions of the vernier scale are equal to8 divisions of main scale. If the main scale readsV1al10 mm and second division of vernier scaleclecoincides with one of the main scale division, thenthe volume of the cube in appropriate significantfigures is (take 1 MSD 1 mm)(1) 2.76 cm3(3) 1.12 cm3The statement "Science is not just a collection of(2) 1.03 cm3(4) 1.00 cm343.

Discussion

1802.	Tap the correct answer:Which is the simplest form of 36
Answer» Tap the correct answer: Which is the simplest form of $\frac{3}{6}$

Discussion

1803.	A ship is moving due north across a river running towards west. At the end of one hour it is found that the ship has made 8\sqrt3 km in a direction 30^° west of north. Find the speed of the ship.
Answer» A ship is moving due north across a river running towards west. At the end of one hour it is found that the ship has made 8\sqrt3 km in a direction 30^° west of north. Find the speed of the ship.

Discussion

1804.	Make whistles of the things given below. Write in a sequence–fromthe loudest to the softest whistle.- Wrapper of a toffee ______________- A leaf ______________- A balloon ______________- The cap of a pen ______________- Any other thing ______________Have you seen people playing different musical instruments like flute, dholak, been ...., guitar, mridang, etc. Can you recognise their sounds with your eyes closed? Find out more about these musical instruments. Collect their pictures too.
Answer» Make whistles of the things given below. Write in a sequence–from the loudest to the softest whistle. - Wrapper of a toffee ______________ - A leaf ______________ - A balloon ______________ - The cap of a pen ______________ - Any other thing ______________ Have you seen people playing different musical instruments like flute, dholak, been ...., guitar, mridang, etc. Can you recognise their sounds with your eyes closed? Find out more about these musical instruments. Collect their pictures too.

1804.

Make whistles of the things given below. Write in a sequence–fromthe loudest to the softest whistle.- Wrapper of a toffee - A leaf - A balloon - The cap of a pen - Any other thing __Have you seen people playing different musical instruments like flute, dholak, been ...., guitar, mridang, etc. Can you recognise their sounds with your eyes closed? Find out more about these musical instruments. Collect their pictures too.

Answer»

Make whistles of the things given below. Write in a sequence–from

the loudest to the softest whistle.

- Wrapper of a toffee ______________

- A leaf ______________

- A balloon ______________

- The cap of a pen ______________

- Any other thing ______________

Have you seen people playing different musical instruments like flute, dholak, been ...., guitar, mridang, etc. Can you recognise their sounds with your eyes closed? Find out more about these musical instruments. Collect their pictures too.

Discussion

1805.	What is the area of the given figure?The area of the smallest square formed by joining 4 dots in the figure is 1 sq unit.
Answer» What is the area of the given figure? The area of the smallest square formed by joining 4 dots in the figure is 1 sq unit.

Discussion

1806.	Kim can only understand improper fractions. Convert the mixed fraction 345 into an improper fraction for Kim.
Answer» Kim can only understand improper fractions. Convert the mixed fraction $3 \frac{4}{5}$ into an improper fraction for Kim.

Discussion

1807.	Spell these words through hand signs(a) Helen(b) was
Answer» Spell these words through hand signs (a) Helen (b) was

Discussion

1808.	The successor of 9999 is ___
Answer» The successor of 9999 is ___

Discussion

1809.	Pass necessary Journal entries to record the following unrecorded assets and liabilities in the books of Paras and Priya:(a) There was an old furniture in the firm which had been written off completely in the books. This was sold for ₹ 3,000.(b) Ashish, an old customer whose account for ₹ 1,000 was written off as bad in the previous year, paid 60%, of the amount.(c) Paras agreed to takeover the firm's goodwill (not recorded in the books of the firm), at a valuation of ₹ 30,000.(d) There was an old typewriter which had been written off completely from the books. It was estimated to realise ₹ 400. It was taken by Priya at an estimated price less 25%.(e) There were 100 shares of ₹ 10 each in Star Limited acquired at a cost of ₹ 2,000 which had been written-off completely from the books. These shares are valued ₹ 6 each and divided among the partners in their profit-sharing ratio.
Answer» Pass necessary Journal entries to record the following unrecorded assets and liabilities in the books of Paras and Priya: (a) There was an old furniture in the firm which had been written off completely in the books. This was sold for ₹ 3,000. (b) Ashish, an old customer whose account for ₹ 1,000 was written off as bad in the previous year, paid 60%, of the amount. (c) Paras agreed to takeover the firm's goodwill (not recorded in the books of the firm), at a valuation of ₹ 30,000. (d) There was an old typewriter which had been written off completely from the books. It was estimated to realise ₹ 400. It was taken by Priya at an estimated price less 25%. (e) There were 100 shares of ₹ 10 each in Star Limited acquired at a cost of ₹ 2,000 which had been written-off completely from the books. These shares are valued ₹ 6 each and divided among the partners in their profit-sharing ratio.

Discussion

1810.	Find out simplest fraction for decimal 0.34.
Answer» Find out simplest fraction for decimal 0.34.

Discussion

1811.	The value of 1,588+399+1,413=
Answer» The value of $1, 588 + 399 + 1, 413 =$

Discussion

1812.	How many ten - rupee notes are required to make ₹ 2000?
Answer» How many ten - rupee notes are required to make ₹ 2000?

Discussion

1813.	If the dimensions of a box is 6 m×4 m×5 m, then its volume is:
Answer» If the dimensions of a box is $6 m \times 4 m \times 5 m$ , then its volume is:

Discussion

1814.	Where is the apple? Where is the boy? How can the boy get the apple?
Answer» Where is the apple? Where is the boy? How can the boy get the apple?

Discussion

1815.	How many obtuse angles can a triangle have?
Answer» How many obtuse angles can a triangle have?

Discussion

1816.	If one note book costs ₹ 15 and one pen costs ₹ 9, then find the total cost of 5 notebooks and 6 pens.129
Answer» If one note book costs ₹ 15 and one pen costs ₹ 9, then find the total cost of 5 notebooks and 6 pens. 129

Discussion

1817.	If Kamal takes 20 seconds to run in a 100 metre running race, then what is his speed?
Answer» If Kamal takes 20 seconds to run in a 100 metre running race, then what is his speed?

Discussion

1818.	Which of the given number lines represents 1310 at the position of the given letter on the number line?
Answer» $Which of the given number lines$ $represents 1 \frac{3}{10} at the position of the$ $given letter on the number line?$

Discussion

1819.	Disclaimer: Kindly refer the textbook for the image.Look at the view of the classroom from above. Now answer the following. You can use words like front, back, left and right.1. How many doors and windows are there in the classroom?2. Where is the blackboard?3. How may rows of desks are there in the middle and back rows?
Answer» Disclaimer: Kindly refer the textbook for the image. Look at the view of the classroom from above. Now answer the following. You can use words like front, back, left and right. 1. How many doors and windows are there in the classroom? 2. Where is the blackboard? 3. How may rows of desks are there in the middle and back rows?

1819.

Disclaimer: Kindly refer the textbook for the image.Look at the view of the classroom from above. Now answer the following. You can use words like front, back, left and right.1. How many doors and windows are there in the classroom?2. Where is the blackboard?3. How may rows of desks are there in the middle and back rows?

Answer»

Disclaimer: Kindly refer the textbook for the image.

Look at the view of the classroom from above. Now answer the following. You can use words like front, back, left and right.

1. How many doors and windows are there in the classroom?

2. Where is the blackboard?

3. How may rows of desks are there in the middle and back rows?

Discussion

1820.	1) sec72 - sec36 =
Answer» 1) sec72 - sec36 =

Discussion

1821.	Find the values of each of the following correct to three places of decimals, it being given that 2=1.4142, 3=1.732, 5=2.2360, 6=2.4495 and 10=3.162,(i) 3-53+25(ii) 1+23-22
Answer» Find the values of each of the following correct to three places of decimals, it being given that $\sqrt{2} = 1.4142,$ $\sqrt{3} = 1.732$ , $\sqrt{5} = 2.2360,$ $\sqrt{6} = 2.4495$ and $\sqrt{10} = 3.162$ , (i) $\frac{3 - \sqrt{5}}{3 + 2 \sqrt{5}}$ (ii) $\frac{1 + \sqrt{2}}{3 - 2 \sqrt{2}}$

Discussion

1822.	In the given figure, there are two slides in a park. Which slide has a larger angle and which one will be safer for the boy?
Answer» In the given figure, there are two slides in a park. Which slide has a larger angle and which one will be safer for the boy?

Discussion

1823.

Carl grows trees to study their height. He recorded the data as followsTree typeHeight (meters)Apple310Cherry715What is the difference between the heights of the cherry and apple trees (in m) ?

Answer»

Carl grows trees to study their height. He recorded the data as follows

Tree type	Height (meters)
Apple	$\frac{3}{10}$
Cherry	$\frac{7}{15}$

What is the difference between the heights of the cherry and apple trees (in m) ?

Discussion

1824.	Match the values for the following divisions.
Answer» Match the values for the following divisions.

Discussion

1825.	In the adjoining figure, AB and CD are two parallel chords and O is the centre. If the radius of the circle is 15 cm, find the distance MN between the two chords of length 24 cm and 18 cm respectively.
Answer» In the adjoining figure, AB and CD are two parallel chords and O is the centre. If the radius of the circle is 15 cm, find the distance MN between the two chords of length 24 cm and 18 cm respectively.

Discussion

1826.	Pair the equivalent expressions:
Answer» Pair the equivalent expressions:

Discussion

1827.	If 5 times 3 = 5×3=15, then 3 times 5 =
Answer» If 5 times 3 = $5 \times 3 = 15$ , then 3 times 5 =

Discussion

1828.	If a large marble box has 65 rows and 45 columns of marble containers, the number of marbles the box can contain is .
Answer» If a large marble box has $65$ rows and $45$ columns of marble containers, the number of marbles the box can contain is .

Discussion

1829.	पूरी कविता में प्रकृति का मानवीकरण किया गया है। आपको कविता का कौन-सा मानवीय रूप पसंद आया और क्यों?
Answer» पूरी कविता में प्रकृति का मानवीकरण किया गया है। आपको कविता का कौन-सा मानवीय रूप पसंद आया और क्यों?

Discussion

1830.	A train covers a distance of 190 km at a uniform speed. Had the speed been15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
Answer» A train covers a distance of 190 km at a uniform speed. Had the speed been15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

Discussion

1831.	Thenmozhi’s height is 1.25 m now. She grows 5 cm every year. What would be her height after 6 years ?
Answer» Thenmozhi’s height is 1.25 m now. She grows 5 cm every year. What would be her height after 6 years ?

Discussion

1832.	Find LCM of 402&84
Answer» Find LCM of 402&84

Discussion

1833.	1.5 rupees =
Answer» 1.5 rupees =

Discussion

1834.	Construct Cayley’s table for the following(1) Z5 under addition modulo 5.(2) Z6 under addition modulo 6.(3) Z3 under addition modulo 3.(4) Z4 under addition modulo 4.(5) Q = {0, 2, 4, 6, 8} under ⊕ mod 10.(6) S = {1, 5, 7, 11} under ⊗ mod 12.
Answer» Construct Cayley’s table for the following (1) Z₅ under addition modulo 5. (2) Z₆ under addition modulo 6. (3) Z₃ under addition modulo 3. (4) Z₄ under addition modulo 4. (5) Q = {0, 2, 4, 6, 8} under ⊕ mod 10. (6) S = {1, 5, 7, 11} under ⊗ mod 12.

1834.

Construct Cayley’s table for the following(1) Z5 under addition modulo 5.(2) Z6 under addition modulo 6.(3) Z3 under addition modulo 3.(4) Z4 under addition modulo 4.(5) Q = {0, 2, 4, 6, 8} under ⊕ mod 10.(6) S = {1, 5, 7, 11} under ⊗ mod 12.

Answer»

Construct Cayley’s table for the following

(1) Z₅ under addition modulo 5.

(2) Z₆ under addition modulo 6.

(3) Z₃ under addition modulo 3.

(4) Z₄ under addition modulo 4.

(5) Q = {0, 2, 4, 6, 8} under ⊕ mod 10.

(6) S = {1, 5, 7, 11} under ⊗ mod 12.

Discussion

1835.	How many right angles does the inside of a rectangle have?
Answer» How many right angles does the inside of a rectangle have?

Discussion

1836.	We should drink at least 10 glasses of water in a day to stay fit. If one glass contains 210 ml of water, then 10 such glasses amount to _____ litres of water.
Answer» We should drink at least 10 glasses of water in a day to stay fit. If one glass contains 210 ml of water, then 10 such glasses amount to _____ litres of water.

Discussion

1837.	Prove, that hcf and lcm of x and y is equals to product of X and y.
Answer» Prove, that hcf and lcm of x and y is equals to product of X and y.

Discussion

1838.

Ankit Ltd. issued 20,000 equity shares of 10 each at a premium of ₹ 2 per share, payable as: On Application : ₹ 3 On Allotment : ₹ 5 (including premium) On First Call : ₹ 2 On Second and Final Call : ₹ 2 Vijay was allotted 500 shares. Pass the necessary Journal entries relating to the forfeiture of shares in following cases. Case I Vijay did not pay allotment money and his shares were immediately forfeited. Case II Vijay did not pay allotment and first call, his shares were forfeited after first call. Case III Vijay failed to pay first call and his shares were forfeited immediately. Case IV Vijay failed to pay both the calls and his shares were forfeited.

Answer» Ankit Ltd. issued 20,000 equity shares of 10 each at a premium of ₹ 2 per share, payable as:

On Application	:	₹ 3
On Allotment	:	₹ 5 (including premium)
On First Call	:	₹ 2
On Second and Final Call	:	₹ 2

Vijay was allotted 500 shares. Pass the necessary Journal entries relating to the forfeiture of shares in following cases.

Case I	Vijay did not pay allotment money and his shares were immediately forfeited.
Case II	Vijay did not pay allotment and first call, his shares were forfeited after first call.
Case III	Vijay failed to pay first call and his shares were forfeited immediately.
Case IV	Vijay failed to pay both the calls and his shares were forfeited.

Discussion

1839.	How many cartons will be required to carry 18000 books, if each carton can hold only 25 books?
Answer» How many cartons will be required to carry 18000 books, if each carton can hold only 25 books?

Discussion

1840.	How many packets of chips, each weighing 250 g can be made from a 5000 g pack?
Answer» How many packets of chips, each weighing 250 g can be made from a 5000 g pack?

Discussion

1841.	Represent the fraction of each colour in the given image.
Answer» Represent the fraction of each colour in the given image.

Discussion

1842.	10.Which of the following is not involved in any diagonal relationship?? C. B. Al. Si.
Answer» 10.Which of the following is not involved in any diagonal relationship?? C. B. Al. Si.

Discussion

1843.	What should be added to 55 to obtain 82?
Answer» What should be added to $55$ to obtain $82$ ?

Discussion

1844.

Following is the Balance Sheet of Abha and Binay as at 31st March, 2014: Liabilities ₹ Assets ₹ Creditors 13,000 Bank 15,000 Employees Provident Fund 8,000 Debtors 22,000 Workmen Compensation Fund 15,000 Less : Provision for Doubtful Debts 1,000 21,000 Capital A/cs: Stock 10,000 Abha 55,000 Plant and Machinery 60,000 Binay 30,000 85,000 Goodwill 10,000 Profit and Loss 5,000 1,21,000 1,21,000 Chitra was admitted as a partner for 1/4th share in the profits of the firm. It was decided that:(a) Bad Debts amounted to ₹ 1,500 will be written off.(b) Stock worth ₹ 8,000 was taken over by Abha and Binay at Book Value in their profit-sharing ratio. The remaining stock was valued at ₹ 2,500.(c) Plant and Machinery and Goodwill were valued at ₹ 32,000 and ₹ 20,000 respectively.(d) Chitra brought her share of goodwill in cash.(e) Chitra will bring proportionate capital and the capitals of Abha and Binay will be adjusted in their profit-sharing ratio by bringing in or paying off cash as the case may be.Prepare Revaluation Account and Partners' Capital Accounts.

Answer» Following is the Balance Sheet of Abha and Binay as at 31st March, 2014:


Liabilities		₹	Assets		₹
Creditors		13,000	Bank		15,000
Employees Provident Fund		8,000	Debtors	22,000
Workmen Compensation Fund		15,000	Less : Provision for Doubtful Debts	1,000	21,000
Capital A/cs:			Stock		10,000
Abha	55,000		Plant and Machinery		60,000
Binay	30,000	85,000	Goodwill		10,000
			Profit and Loss		5,000


		1,21,000			1,21,000

Chitra was admitted as a partner for 1/4th share in the profits of the firm. It was decided that:

(a) Bad Debts amounted to ₹ 1,500 will be written off.

(b) Stock worth ₹ 8,000 was taken over by Abha and Binay at Book Value in their profit-sharing ratio. The remaining stock was valued at ₹ 2,500.

(c) Plant and Machinery and Goodwill were valued at ₹ 32,000 and ₹ 20,000 respectively.

(d) Chitra brought her share of goodwill in cash.

(e) Chitra will bring proportionate capital and the capitals of Abha and Binay will be adjusted in their profit-sharing ratio by bringing in or paying off cash as the case may be.

Prepare Revaluation Account and Partners' Capital Accounts.

Discussion

1845.	Graph 3610 as decimal on on a number line.
Answer» Graph $3 \frac{6}{10}$ as decimal on on a number line.

Discussion

1846.	Match the following multiplication results:
Answer» Match the following multiplication results:

Discussion

1847.	Multiply 0.0345 by 0.0237.
Answer» Multiply 0.0345 by 0.0237.

Discussion

1848.	In the figure given below, PQSR is a square. Find the area of the unshaded region.
Answer» In the figure given below, PQSR is a square. Find the area of the unshaded region.

Discussion

1849.	If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape? 23
Answer» If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape? 23

Discussion

1850.	Which of the following angles can not be constructed using straight edge and compass?
Answer» Which of the following angles can not be constructed using straight edge and compass?

Discussion

Explore topic-wise InterviewSolutions in .

Tap the correct answer:Which is the simplest form of 36

A ship is moving due north across a river running towards west. At the end of one hour it is found that the ship has made 8\sqrt3 km in a direction 30^° west of north. Find the speed of the ship.

What is the area of the given figure?The area of the smallest square formed by joining 4 dots in the figure is 1 sq unit.

Kim can only understand improper fractions. Convert the mixed fraction 345 into an improper fraction for Kim.

Spell these words through hand signs(a) Helen(b) was

The successor of 9999 is ___

Find out simplest fraction for decimal 0.34.

The value of 1,588+399+1,413=

How many ten - rupee notes are required to make ₹ 2000?

If the dimensions of a box is 6 m×4 m×5 m, then its volume is:

Where is the apple? Where is the boy? How can the boy get the apple?

How many obtuse angles can a triangle have?

If one note book costs ₹ 15 and one pen costs ₹ 9, then find the total cost of 5 notebooks and 6 pens.129

If Kamal takes 20 seconds to run in a 100 metre running race, then what is his speed?

Which of the given number lines represents 1310 at the position of the given letter on the number line?

1) sec72 - sec36 =

Find the values of each of the following correct to three places of decimals, it being given that 2=1.4142, 3=1.732, 5=2.2360, 6=2.4495 and 10=3.162,(i) 3-53+25(ii) 1+23-22

In the given figure, there are two slides in a park. Which slide has a larger angle and which one will be safer for the boy?

Carl grows trees to study their height. He recorded the data as followsTree typeHeight (meters)Apple310Cherry715What is the difference between the heights of the cherry and apple trees (in m) ?

Match the values for the following divisions.

In the adjoining figure, AB and CD are two parallel chords and O is the centre. If the radius of the circle is 15 cm, find the distance MN between the two chords of length 24 cm and 18 cm respectively.

Pair the equivalent expressions:

If 5 times 3 = 5×3=15, then 3 times 5 =

If a large marble box has 65 rows and 45 columns of marble containers, the number of marbles the box can contain is .

पूरी कविता में प्रकृति का मानवीकरण किया गया है। आपको कविता का कौन-सा मानवीय रूप पसंद आया और क्यों?

A train covers a distance of 190 km at a uniform speed. Had the speed been15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

Thenmozhi’s height is 1.25 m now. She grows 5 cm every year. What would be her height after 6 years ?

Find LCM of 402&84

1.5 rupees =

Construct Cayley’s table for the following(1) Z5 under addition modulo 5.(2) Z6 under addition modulo 6.(3) Z3 under addition modulo 3.(4) Z4 under addition modulo 4.(5) Q = {0, 2, 4, 6, 8} under ⊕ mod 10.(6) S = {1, 5, 7, 11} under ⊗ mod 12.

How many right angles does the inside of a rectangle have?

We should drink at least 10 glasses of water in a day to stay fit. If one glass contains 210 ml of water, then 10 such glasses amount to _____ litres of water.

Prove, that hcf and lcm of x and y is equals to product of X and y.

How many cartons will be required to carry 18000 books, if each carton can hold only 25 books?

How many packets of chips, each weighing 250 g can be made from a 5000 g pack?

Represent the fraction of each colour in the given image.

10.Which of the following is not involved in any diagonal relationship?? C. B. Al. Si.

What should be added to 55 to obtain 82?

Graph 3610 as decimal on on a number line.

Match the following multiplication results:

Multiply 0.0345 by 0.0237.

In the figure given below, PQSR is a square. Find the area of the unshaded region.

If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape? 23

Which of the following angles can not be constructed using straight edge and compass?