16437 + Interview Questions in Mathematics Page 42 InterviewSolution

2051.	A building has 20 stairs above ground level and 20 stairs below ground level. If you are standing at the 16th step below ground level, then how will you represent it mathematically?
Answer» A building has 20 stairs above ground level and 20 stairs below ground level. If you are standing at the 16^th step below ground level, then how will you represent it mathematically?

Discussion

2052.	Add:(1) 29∘16′23′′ and 8∘27′12′′(2) 9∘45′56′′ and 73∘8′15′′
Answer» Add: (1) $29^{\circ} 16^{'} 23^{''}$ and $8^{\circ} 27^{'} 12^{''}$ (2) $9^{\circ} 45^{'} 56^{''}$ and $73^{\circ} 8^{'} 15^{''}$

Discussion

2053.	Question 4 (a) Find: (–7) – 8 – (–25)
Answer» Question 4 (a) Find: (–7) – 8 – (–25)

2053.

Question 4 (a) Find: (–7) – 8 – (–25)

Answer»

Question 4 (a)

Find:

(–7) – 8 – (–25)

Discussion

2054.	The figure given below shows two __ lines.
Answer» The figure given below shows two __ lines.

2054.

The figure given below shows two __ lines.

Answer»

The figure given below shows two __ lines.

Discussion

2055.	ABC is a right triangle angled at C and AC = \sqrt{3 BC . prove that angle ABC =6
Answer» ABC is a right triangle angled at C and AC = \sqrt{3 BC . prove that angle ABC =6

Discussion

2056.	Question 3(ii) Multiply and reduce to lowest form and convert into a mixed fraction: 4×13
Answer» Question 3(ii) Multiply and reduce to lowest form and convert into a mixed fraction: $4 \times \frac{1}{3}$

Discussion

2057.	Whay is parallelogram of vector additions
Answer» Whay is parallelogram of vector additions

Discussion

2058.	Which set of numbers are ordered from least to greatest?
Answer» Which set of numbers are ordered from least to greatest?

Discussion

2059.	let ⋃ be the universal set and AUBUC=⋃.Then\{(A-B)∪(B-C)∪(C-A) is equal to 1)A∪ B∪ C 2)A∪(B∩ C) 3)A∩ B∩ C 4)A∩(B∪ C)
Answer» let ⋃ be the universal set and AUBUC=⋃.Then\{(A-B)∪(B-C)∪(C-A) is equal to 1)A∪ B∪ C 2)A∪(B∩ C) 3)A∩ B∩ C 4)A∩(B∪ C)

Discussion

2060.	Which of the following is a closed shape?
Answer» Which of the following is a closed shape?

Discussion

2061.	The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?
Answer» The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?

2061.

The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?

Answer»

The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?

Discussion

2062.	Meera can type 96 words in 12 minutes. How many words would she type in quarter of an hour ?
Answer» Meera can type 96 words in 12 minutes. How many words would she type in quarter of an hour ?

Discussion

2063.	The stop signal is placed 25miles afterthe warning board which is placed atposition '0'.To place the stop signal at the correct position, choose the number line with the correct number of divisions required between 0 and 1.
Answer» $The stop signal is placed \frac{2}{5} miles after$ $the warning board which is placed at$ $position '0'.$ To place the stop signal at the correct position, choose the number line with the correct number of divisions required between 0 and 1.

Discussion

2064.	Which of the following 2 d shape will be obtained after opening of the given box ?
Answer» Which of the following 2 d shape will be obtained after opening of the given box ?

Discussion

2065.	Four regular hexagons are drawn to form the design as shown in the figure.If the perimeter of the design is 144 cm, find the length of each side of the hexagon in cm.8
Answer» Four regular hexagons are drawn to form the design as shown in the figure. If the perimeter of the design is 144 cm, find the length of each side of the hexagon in cm. 8

Discussion

2066.	Question 7 Match the shapes (each side measures 2 cm) in Column I with the correponding perimeters in Column II.
Answer» Question 7 Match the shapes (each side measures 2 cm) in Column I with the correponding perimeters in Column II.

2066.

Question 7 Match the shapes (each side measures 2 cm) in Column I with the correponding perimeters in Column II.

Answer»

Question 7

Match the shapes (each side measures 2 cm) in Column I with the correponding perimeters in Column II.

Discussion

2067.	Question 6(a) Trace the figure and draw the lines of symmetry, if any:
Answer» Question 6(a) Trace the figure and draw the lines of symmetry, if any:

2067.

Question 6(a) Trace the figure and draw the lines of symmetry, if any:

Answer»

Question 6(a)

Trace the figure and draw the lines of symmetry, if any:

Discussion

2068.	Question 26 Fill in the blanks to make the statements true. The number of lines of symmetry in given figure is ___.
Answer» Question 26 Fill in the blanks to make the statements true. The number of lines of symmetry in given figure is ___.

2068.

Question 26 Fill in the blanks to make the statements true. The number of lines of symmetry in given figure is ___.

Answer»

Question 26

Fill in the blanks to make the statements true.

The number of lines of symmetry in given figure is ___.

Discussion

2069.

A, B and C were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2018, their Balance Sheet was as follows: Liabilities ₹ Assets ₹ Creditors 11,000 Building 20,000 Reserves 6,000 Machinery 30,000 A's Loan A/c 5,000 Stock 10,000 Capital A/cs: Patents 11,000 A 25,000 Debtors 8,000 B 25,000 Cash 8,000 C 15,000 65,000 87,000 87,000 A died on 1st October, 2018. It was agreed among his executors and the remaining partners that:(i) Goodwill to be valued at 212 years' purchase of the average profit of the previous 4 years, which were 2014-15: ₹ 13,000; 2015-16: ₹ 12,000; 2016-17: ₹ 20,000 and 2017-18: ₹ 15,000.(ii) Patents be valued at ₹ 8,000; Machinery at ₹ 28,000; and Building at ₹ 25,000.(iii) Profit for the year 2017-18 be taken as having accrued at the same rate as that of the previous year.(iv) Interest on capital be provided 10% p.a. (v) Half of the amount due to A to be paid immediately to the executors and the balance transferred to his (Executors') Loan Account.Prepare A's Capital Account and A's Executors' Account as on 1st October, 2018.

Answer» A, B and C were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2018, their Balance Sheet was as follows:

Liabilities		₹	Assets	₹
Creditors		11,000	Building	20,000
Reserves		6,000	Machinery	30,000
A's Loan A/c		5,000	Stock	10,000
Capital A/cs:			Patents	11,000
A	25,000		Debtors	8,000
B	25,000		Cash	8,000
C	15,000	65,000
		87,000		87,000

A died on 1st October, 2018. It was agreed among his executors and the remaining partners that:

(i) Goodwill to be valued at

2^{\frac{1}{2}}

years' purchase of the average profit of the previous 4 years, which were 2014-15: ₹ 13,000; 2015-16: ₹ 12,000; 2016-17: ₹ 20,000 and 2017-18: ₹ 15,000.

(ii) Patents be valued at ₹ 8,000; Machinery at ₹ 28,000; and Building at ₹ 25,000.

(iii) Profit for the year 2017-18 be taken as having accrued at the same rate as that of the previous year.

(iv) Interest on capital be provided 10% p.a.

(v) Half of the amount due to A to be paid immediately to the executors and the balance transferred to his (Executors') Loan Account.

Prepare A's Capital Account and A's Executors' Account as on 1st October, 2018.

Discussion

2070.	Evaluate:(i) (34)4(ii) (−56)5
Answer» Evaluate: (i) ${(\frac{3}{4})}^{4}$ (ii) ${(\frac{- 5}{6})}^{5}$

Discussion

2071.	A and B can do a given work in 8 days,B and C can do the same work in 12 days , and A,B,C complete it in 6 days. In how many days can A and C will finish the same work?
Answer» A and B can do a given work in 8 days,B and C can do the same work in 12 days , and A,B,C complete it in 6 days. In how many days can A and C will finish the same work?

Discussion

2072.	step of construction to represent \surd5 on no line (step by step)
Answer» step of construction to represent \surd5 on no line (step by step)

Discussion

2073.	8.A line with positive direction cosines passes through the pt (2,-1,2) and makes equal angle with the coordinate axes.The line meets the plane 2x+y+z=9 at pt. Q.The length of the line segment PQ
Answer» 8.A line with positive direction cosines passes through the pt (2,-1,2) and makes equal angle with the coordinate axes.The line meets the plane 2x+y+z=9 at pt. Q.The length of the line segment PQ

Discussion

2074.	If (3, 2) is a solution of the equation 4x−ky=10, then find the value of k.
Answer» If (3, 2) is a solution of the equation $4 x - k y = 10$ , then find the value of $k$ .

Discussion

2075.	Measure of an angle is 60∘. What is the value of angles formed if the original angle is bisected by angle bisector?
Answer» Measure of an angle is $60^{\circ}$ . What is the value of angles formed if the original angle is bisected by angle bisector?

Discussion

2076.	If the volume of each small cube is 3 cm3, what will be the volume (in cm3) of the following shape?
Answer» If the volume of each small cube is $3$ cm $^{3}$ , what will be the volume (in cm $^{3}$ ) of the following shape?

Discussion

2077.	9.For a particle in shm displacement x of particle as a function of time t is x=asin (2piet).let time taken by particle to travel from x=0 to x=a/2 be t1 and time taken to travel from x=a/2 to x=a be t2.find t1/t2
Answer» 9.For a particle in shm displacement x of particle as a function of time t is x=asin (2piet).let time taken by particle to travel from x=0 to x=a/2 be t1 and time taken to travel from x=a/2 to x=a be t2.find t1/t2

Discussion

2078.	Say True or False: (a) The measure of an acute angle < 90° (b) The measure of an obtuse angle < 90° (c) The measure of a reflex angle > 180° (d) The measure of one complete revolution = 360° (e) If m∠A = 53° and m∠B = 35°, then m∠A > m∠B.
Answer» Say True or False: (a) The measure of an acute angle < 90° (b) The measure of an obtuse angle < 90° (c) The measure of a reflex angle > 180° (d) The measure of one complete revolution = 360° (e) If m∠A = 53° and m∠B = 35°, then m∠A > m∠B.

2078.

Say True or False: (a) The measure of an acute angle < 90° (b) The measure of an obtuse angle < 90° (c) The measure of a reflex angle > 180° (d) The measure of one complete revolution = 360° (e) If m∠A = 53° and m∠B = 35°, then m∠A > m∠B.

Answer»

Say True
or False:

(a) The
measure of an acute angle < 90°

(b) The
measure of an obtuse angle < 90°

(c) The
measure of a reflex angle > 180°

(d) The
measure of one complete revolution = 360°

(e) If m∠A
= 53° and m∠B
= 35°, then m∠A
> m∠B.

Discussion

2079.	is an example of 0D.
Answer» is an example of $0 D$ .

Discussion

2080.	Express 1 kg 800 g 600 mg in kilograms in the form of decimal number.
Answer» Express $1$ kg $800$ g $600$ mg in kilograms in the form of decimal number.

Discussion

2081.	Three numbers which are co-prime to each other are such that the product of the first two is 77 and that of the last two is 143. The sum of the three numbers is
Answer» Three numbers which are co-prime to each other are such that the product of the first two is $77$ and that of the last two is $143.$ The sum of the three numbers is

Discussion

2082.	The equation of circle two of whose diameters are 3x+4y-7=0 and x-3y+2=0 and having area 154 cm^2 i
Answer» The equation of circle two of whose diameters are 3x+4y-7=0 and x-3y+2=0 and having area 154 cm^2 i

Discussion

2083.	What is the multiplicative identity element in the set of whole numbers?(a) 0 (b) − 1 (c) 1 (d) None of these
Answer» What is the multiplicative identity element in the set of whole numbers? (a) 0 (b) − 1 (c) 1 (d) None of these

Discussion

2084.	Write the given expression as decimal fraction:6.7 + 4.824.63 − 22.13
Answer» Write the given expression as decimal fraction: $\frac{6.7 + 4.8}{24.63 - 22.13}$

Discussion

2085.	In the given triangle AC = BC, find angles x and y, as shown in the figure.
Answer» In the given triangle AC = BC, find angles x and y, as shown in the figure.

Discussion

2086.	On throwing a fair die, the probabilities of rolling greater than 2 but less than 3 and greater than 0 areand, respectively.
Answer» On throwing a fair die, the probabilities of rolling greater than $2$ but less than $3$ and greater than $0$ areand, respectively.

Discussion

2087.	28. How to represent the numbers between two positive natural number like 1and2
Answer» 28. How to represent the numbers between two positive natural number like 1and2

Discussion

2088.	Write the largest 4-digit number and give its prime factorization.
Answer» Write the largest 4-digit number and give its prime factorization.

Discussion

2089.	How to determine conic section in matrix
Answer» How to determine conic section in matrix

Discussion

2090.	an iron casting containing a number of cavities weights 6000N in air ad 4000n in water. what is d volume of the cavities in d casting? density of iron is 7.87 gcm^-3, g=9.8, density of water = 10^3 kgm^-3.
Answer» an iron casting containing a number of cavities weights 6000N in air ad 4000n in water. what is d volume of the cavities in d casting? density of iron is 7.87 gcm^-3, g=9.8, density of water = 10^3 kgm^-3.

Discussion

2091.	Sum of 1.324 and 11.67 is
Answer» $Sum of 1.324 and 11.67 is$

Discussion

2092.	What is the maximum exterior angle possible for a regular polygon?
Answer» What is the maximum exterior angle possible for a regular polygon?

Discussion

2093.	Question 65756x is a multiple of 11, find the value of x.
Answer» Question 65 756x is a multiple of 11, find the value of x.

2093.

Question 65756x is a multiple of 11, find the value of x.

Answer»

Question 65

756x is a multiple of 11, find the value of x.

Discussion

2094.	One kg of rice costs Rs. 42.65. What will be the cost of 18.25 kg of rice?
Answer» One kg of rice costs Rs. 42.65. What will be the cost of 18.25 kg of rice?

Discussion

2095.	1 crore =
Answer» 1 crore =

Discussion

2096.	How many litres of water can a vessel of length 33 cm, breadth 77 cm and height 22 cm contain when it is full ?
Answer» How many litres of water can a vessel of length 33 cm, breadth 77 cm and height 22 cm contain when it is full ?

Discussion

2097.	Question 66 Write six distinct integers whose sum is 7.
Answer» Question 66 Write six distinct integers whose sum is 7.

2097.

Question 66 Write six distinct integers whose sum is 7.

Answer»

Question 66

Write six distinct integers whose sum is 7.

Discussion

2098.	Simplify:(a) 23÷115(b) 412÷49(c) 1÷25(d) 49÷49
Answer» Simplify: $(a) \frac{2}{3} \div 1 \frac{1}{5}$ $(b) 4 \frac{1}{2} \div \frac{4}{9}$ $(c) 1 \div \frac{2}{5}$ $(d) \frac{4}{9} \div \frac{4}{9}$

Discussion

2099.	One day at central high 1/12 of the students were absent and 1/5 of those present went to field trip. If the number of students staying in school was 704 how many students are enrolled at central high
Answer» One day at central high 1/12 of the students were absent and 1/5 of those present went to field trip. If the number of students staying in school was 704 how many students are enrolled at central high

Discussion

2100.	The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is
Answer» The total number of $4$ -digit numbers whose greatest common divisor with $18$ is $3$ , is

Discussion

Explore topic-wise InterviewSolutions in .

A building has 20 stairs above ground level and 20 stairs below ground level. If you are standing at the 16th step below ground level, then how will you represent it mathematically?

Add:(1) 29∘16′23′′ and 8∘27′12′′(2) 9∘45′56′′ and 73∘8′15′′

Question 4 (a) Find: (–7) – 8 – (–25)

The figure given below shows two __ lines.

ABC is a right triangle angled at C and AC = \sqrt{3 BC . prove that angle ABC =6

Question 3(ii) Multiply and reduce to lowest form and convert into a mixed fraction: 4×13

Whay is parallelogram of vector additions

Which set of numbers are ordered from least to greatest?

let ⋃ be the universal set and AUBUC=⋃.Then\{(A-B)∪(B-C)∪(C-A) is equal to 1)A∪ B∪ C 2)A∪(B∩ C) 3)A∩ B∩ C 4)A∩(B∪ C)

Which of the following is a closed shape?

The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?

Meera can type 96 words in 12 minutes. How many words would she type in quarter of an hour ?

The stop signal is placed 25miles afterthe warning board which is placed atposition '0'.To place the stop signal at the correct position, choose the number line with the correct number of divisions required between 0 and 1.

Which of the following 2 d shape will be obtained after opening of the given box ?

Four regular hexagons are drawn to form the design as shown in the figure.If the perimeter of the design is 144 cm, find the length of each side of the hexagon in cm.8

Question 7 Match the shapes (each side measures 2 cm) in Column I with the correponding perimeters in Column II.

Question 6(a) Trace the figure and draw the lines of symmetry, if any:

Question 26 Fill in the blanks to make the statements true. The number of lines of symmetry in given figure is ___.

Evaluate:(i) (34)4(ii) (−56)5

A and B can do a given work in 8 days,B and C can do the same work in 12 days , and A,B,C complete it in 6 days. In how many days can A and C will finish the same work?

step of construction to represent \surd5 on no line (step by step)

8.A line with positive direction cosines passes through the pt (2,-1,2) and makes equal angle with the coordinate axes.The line meets the plane 2x+y+z=9 at pt. Q.The length of the line segment PQ

If (3, 2) is a solution of the equation 4x−ky=10, then find the value of k.

Measure of an angle is 60∘. What is the value of angles formed if the original angle is bisected by angle bisector?

If the volume of each small cube is 3 cm3, what will be the volume (in cm3) of the following shape?

9.For a particle in shm displacement x of particle as a function of time t is x=asin (2piet).let time taken by particle to travel from x=0 to x=a/2 be t1 and time taken to travel from x=a/2 to x=a be t2.find t1/t2

Say True or False: (a) The measure of an acute angle &lt; 90° (b) The measure of an obtuse angle &lt; 90° (c) The measure of a reflex angle &gt; 180° (d) The measure of one complete revolution = 360° (e) If m∠A = 53° and m∠B = 35°, then m∠A &gt; m∠B.

is an example of 0D.

Express 1 kg 800 g 600 mg in kilograms in the form of decimal number.

Three numbers which are co-prime to each other are such that the product of the first two is 77 and that of the last two is 143. The sum of the three numbers is

The equation of circle two of whose diameters are 3x+4y-7=0 and x-3y+2=0 and having area 154 cm^2 i

What is the multiplicative identity element in the set of whole numbers?(a) 0 (b) − 1 (c) 1 (d) None of these

Write the given expression as decimal fraction:6.7 + 4.824.63 − 22.13

In the given triangle AC = BC, find angles x and y, as shown in the figure.

On throwing a fair die, the probabilities of rolling greater than 2 but less than 3 and greater than 0 areand, respectively.

28. How to represent the numbers between two positive natural number like 1and2

Write the largest 4-digit number and give its prime factorization.

How to determine conic section in matrix

an iron casting containing a number of cavities weights 6000N in air ad 4000n in water. what is d volume of the cavities in d casting? density of iron is 7.87 gcm^-3, g=9.8, density of water = 10^3 kgm^-3.

Sum of 1.324 and 11.67 is

What is the maximum exterior angle possible for a regular polygon?

Question 65756x is a multiple of 11, find the value of x.

One kg of rice costs Rs. 42.65. What will be the cost of 18.25 kg of rice?

1 crore =

How many litres of water can a vessel of length 33 cm, breadth 77 cm and height 22 cm contain when it is full ?

Question 66 Write six distinct integers whose sum is 7.

Simplify:(a) 23÷115(b) 412÷49(c) 1÷25(d) 49÷49

One day at central high 1/12 of the students were absent and 1/5 of those present went to field trip. If the number of students staying in school was 704 how many students are enrolled at central high

The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is

Say True or False: (a) The measure of an acute angle < 90° (b) The measure of an obtuse angle < 90° (c) The measure of a reflex angle > 180° (d) The measure of one complete revolution = 360° (e) If m∠A = 53° and m∠B = 35°, then m∠A > m∠B.