19743 + Interview Questions in Mathematics Page 86 InterviewSolution

4251.	Using the statements below, find out the value of x.i) The L.C.M of x and 18 is 36.ii) The H.C.F of x and 18 is 2. 4
Answer» Using the statements below, find out the value of x. i) The L.C.M of x and 18 is 36. ii) The H.C.F of x and 18 is 2. 4

Discussion

4252.	Question 57 For the given data below, calculate the mean of its median and mode. 6, 2, 5, 4, 3, 4, 4, 2, 3.
Answer» Question 57 For the given data below, calculate the mean of its median and mode. 6, 2, 5, 4, 3, 4, 4, 2, 3.

Discussion

4253.	show that square of any odd positive integer can be of the form 6m+1 and 6m+3 for some integer m.
Answer» show that square of any odd positive integer can be of the form 6m+1 and 6m+3 for some integer m.

Discussion

4254.	A rectangle whose length and breadth are 5 and 3 units, respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?
Answer» A rectangle whose length and breadth are 5 and 3 units, respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?

Discussion

4255.	Ankit drives 120 km at 60 km/hr and the next 120 km at 40 km/hr. His average speed during the entire trip is:
Answer» Ankit drives 120 km at 60 km/hr and the next 120 km at 40 km/hr. His average speed during the entire trip is:

Discussion

4256.	A school starts at 8 a.m. The classes are for 5.25 hours . It takes 0.75 hour to reach school from Shally's house. It takes the same time for the return journey. At what time does Sally leave her home daily, and at what time does she reach home after school
Answer» A school starts at 8 a.m. The classes are for 5.25 hours . It takes 0.75 hour to reach school from Shally's house. It takes the same time for the return journey. At what time does Sally leave her home daily, and at what time does she reach home after school

Discussion

4257.	Revenue from Operations ₹4,00,000; Gross Profit Ratio 25%; Operating Ratio 90%. Non-operating Expenses ₹2,000; Non-operating Income ₹22,000. Calculate Net Profit Ratio.
Answer» Revenue from Operations ₹4,00,000; Gross Profit Ratio 25%; Operating Ratio 90%. Non-operating Expenses ₹2,000; Non-operating Income ₹22,000. Calculate Net Profit Ratio.

Discussion

4258.	Mayank saves ₹4000 from his salary. If this is 20% of his salary, find his salary.
Answer» Mayank saves ₹4000 from his salary. If this is $20 %$ of his salary, find his salary.

Discussion

4259.	In any polynomial P(x) if P(x)=P(1/x) and P(1) = 2, then the value of P(2) i
Answer» In any polynomial P(x) if P(x)=P(1/x) and P(1) = 2, then the value of P(2) i

Discussion

4260.	Solve 10y-0.2(7-y)=19
Answer» Solve 10y-0.2(7-y)=19

Discussion

4261.	The capital invested by 3 people A, B and C are in the ratio of 1 : 2 : 3 and profit earned by A is ₹50 less than that earned by B. Calculate the total profit in the business.
Answer» The capital invested by 3 people A, B and C are in the ratio of 1 : 2 : 3 and profit earned by A is ₹50 less than that earned by B. Calculate the total profit in the business.

Discussion

4262.	Convert 116 into a decimal number using long division.
Answer» Convert $\frac{1}{16}$ into a decimal number using long division.

Discussion

4263.	In △ABC, bisectors of A and B intersect at point O. If ∠C=70∘. Find measure of ∠AOB.
Answer» In $△$ ABC, bisectors of A and B intersect at point O. If $∠ C = 70^{\circ}$ . Find measure of $∠ A O B$ .

Discussion

4264.	Identify the greater number:53 or 35
Answer» Identify the greater number: $5^{3} o r 3^{5}$

Discussion

4265.	Alida goes to church after every 2 days and visits the park after every 3 days. If she went to both places on Sunday, on which day will he visit them again?
Answer» Alida goes to church after every 2 days and visits the park after every 3 days. If she went to both places on Sunday, on which day will he visit them again?

Discussion

4266.	Study the steps of construction given.Step 1: Draw a ray OA.Step 2: With O as centre and any convenient radius draw an arc MN to cut OA at M.Step 3: With M as centre and the same radius draw an arc to cut MN at P.Step 4: With P as centre and the same radius, draw an arc to cut MN at Q.Step 5: Draw OQ and produce it to D. An angle AOD is constructed.What is the measure of ∠AOD?
Answer» Study the steps of construction given. Step 1: Draw a ray OA. Step 2: With O as centre and any convenient radius draw an arc MN to cut OA at M. Step 3: With M as centre and the same radius draw an arc to cut MN at P. Step 4: With P as centre and the same radius, draw an arc to cut MN at Q. Step 5: Draw OQ and produce it to D. An angle AOD is constructed. What is the measure of ∠AOD?

Discussion

4267.	Name the solid whose all different views are same.
Answer» Name the solid whose all different views are same.

Discussion

4268.	Solve : by what number should -324 be divided to obtain -18
Answer» Solve : by what number should -324 be divided to obtain -18

Discussion

4269.	Question 121Solve the following question:Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.
Answer» Question 121 Solve the following question: Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

4269.

Question 121Solve the following question:Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Answer»

Question 121

Solve the following question:

Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Discussion

4270.	Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earning he saves now ?
Answer» Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earning he saves now ?

Discussion

4271.	By what number should −338 be divided to get −112?
Answer» By what number should $\frac{- 33}{8}$ be divided to get $\frac{- 11}{2}$ ?

Discussion

4272.	From the diagram, m∠PCR=, and m∠PCB=.
Answer» From the diagram, $m ∠ P C R =$ , and $m ∠ P C B =$ .

Discussion

4273.	Find if it is bijectivef(x)=(X-2)(x-3)(x-4)
Answer» Find if it is bijective f(x)=(X-2)(x-3)(x-4)

Discussion

4274.	What must be subtracted from (4x3−3x+5) to get (2x2−3x3+5x−2) ?
Answer» What must be subtracted from $(4 x^{3} - 3 x + 5)$ to get $(2 x^{2} - 3 x^{3} + 5 x - 2)$ ?

Discussion

4275.	Suppose you and 7 of your friends ate a medium pizza cut into 8 equal parts. Since you all were still hungry you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be _____.
Answer» Suppose you and 7 of your friends ate a medium pizza cut into 8 equal parts. Since you all were still hungry you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be _____.

4275.

Suppose you and 7 of your friends ate a medium pizza cut into 8 equal parts. Since you all were still hungry you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be _____.

Answer»

Suppose you and 7 of your friends ate a medium pizza cut into 8 equal parts. Since you all were still hungry you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be _____.

Discussion

4276.	Q 138 parellelogram ABCD AM IS altitude corresponding to base BC and CN altitude corresponding base AB if ab=10cm am= 6cm cm=12cm then BC=
Answer» Q 138 parellelogram ABCD AM IS altitude corresponding to base BC and CN altitude corresponding base AB if ab=10cm am= 6cm cm=12cm then BC=

Discussion

4277.	Construct an angle of 450 from a horizontal line.
Answer» Construct an angle of 45⁰ from a horizontal line.

Discussion

4278.	ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.
Answer» ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.

Discussion

4279.	The height of a triangle is three-fifth its base. If the height is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle.
Answer» The height of a triangle is three-fifth its base. If the height is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle.

Discussion

4280.	Question 3(i)Express the number appearing in the following statements in standard form:1micron is equal to11000000m,
Answer» Question 3(i) Express the number appearing in the following statements in standard form: $1 m i c r o n i s e q u a l t o \frac{1}{1000000} m,$

Discussion

4281.	Jan is an athlete, and her daily routine entails running 10 laps around an 800 m race track, followed by a daily distance of km.
Answer» Jan is an athlete, and her daily routine entails running 10 laps around an 800 m race track, followed by a daily distance of km.

Discussion

4282.	A number has two digits whose sum is 7. If 27is added to the number it's digits get interchanged . Find the number
Answer» A number has two digits whose sum is 7. If 27is added to the number it's digits get interchanged . Find the number

Discussion

4283.	Question 60In the following question, state whether the statement is True (T) or False (F):(a−b)2=a2−b2
Answer» Question 60 In the following question, state whether the statement is True (T) or False (F): **** $(a - b)^{2} = a^{2} - b^{2}$

4283.

Question 60In the following question, state whether the statement is True (T) or False (F):(a−b)2=a2−b2

Answer»

Question 60

In the following question, state whether the statement is True (T) or False (F):

 $(a - b)^{2} = a^{2} - b^{2}$

Discussion

4284.	7. Using properties find -2÷ 3×3÷ 5+5÷ 2-3÷ 5×1÷ 6
Answer» 7. Using properties find -2÷ 3×3÷ 5+5÷ 2-3÷ 5×1÷ 6

Discussion

4285.	Find the pairs of like fractions: 1. 4560 and 4590 2. 157 and 957 3. 117 and 9991500927 4. 32 and 23
Answer» Find the pairs of like fractions: 1. $\frac{45}{60}$ and $\frac{45}{90}$ 2. $\frac{15}{7}$ and $\frac{95}{7}$ 3. $1 \frac{1}{7}$ and $999 \frac{150092}{7}$ 4. $\frac{3}{2}$ and $\frac{2}{3}$

4285.

Find the pairs of like fractions: 1. 4560 and 4590 2. 157 and 957 3. 117 and 9991500927 4. 32 and 23

Answer»

Find the pairs of like fractions:

1. $\frac{45}{60}$ and $\frac{45}{90}$

2. $\frac{15}{7}$ and $\frac{95}{7}$

3. $1 \frac{1}{7}$ and $999 \frac{150092}{7}$

4. $\frac{3}{2}$ and $\frac{2}{3}$

Discussion

4286.	Question 150 (i) In the given figure, PQ = PS and ∠1=∠2 Is ΔPQR≅ΔPSR? Give reason.
Answer» Question 150 (i) In the given figure, PQ = PS and $∠ 1 = ∠ 2$ Is $Δ P Q R ≅ Δ P S R$ ? Give reason.

4286.

Question 150 (i) In the given figure, PQ = PS and ∠1=∠2 Is ΔPQR≅ΔPSR? Give reason.

Answer»

Question 150 (i)

In the given figure, PQ = PS and $∠ 1 = ∠ 2$
Is $Δ P Q R ≅ Δ P S R$ ? Give reason.

Discussion

4287.	Question 23In the following question, out of the four options, only one is correct. Write the correct answer:The value of(7−1−8−1)−1−(3−1−4−1)−1:(a) 44(b) 56(c) 68(d) 12
Answer» Question 23 In the following question, out of the four options, only one is correct. Write the correct answer: The value of $(7^{- 1} - 8^{- 1})^{- 1} - (3^{- 1} - 4^{- 1})^{- 1}$ : (a) 44 (b) 56 (c) 68 (d) 12

4287.

Question 23In the following question, out of the four options, only one is correct. Write the correct answer:The value of(7−1−8−1)−1−(3−1−4−1)−1:(a) 44(b) 56(c) 68(d) 12

Answer»

Question 23

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of $(7^{- 1} - 8^{- 1})^{- 1} - (3^{- 1} - 4^{- 1})^{- 1}$ :

(a) 44

(b) 56

(c) 68

(d) 12

Discussion

4288.	1 km2 = ___ m2
Answer» $1 k m^{2}$ = ___ $m^{2}$

Discussion

4289.	Express (8)2 in the form of (a − b)2
Answer» Express (8)² in the form of (a − b)²

Discussion

4290.	Subtract the second polynomial from the first.(i) x2 - 9x + 3 ; -19x + 3 + 7x2 (ii) 2ab2 + 3a2b - 4ab ; 3ab -8ab2 + 2a2b
Answer» Subtract the second polynomial from the first. (i) $x^{2} - 9 x + \sqrt{3}; - 19 x + \sqrt{3} + 7 x^{2}$ (ii) $2 a b^{2} + 3 a^{2} b - 4 a b; 3 a b - 8 a b^{2} + 2 a^{2} b$

Discussion

4291.	34. If the sides ABC are such that a=4 b=5 c=6 the the ratio in which excentre correspondimg to A divides the angle bisector AD in the ratio?
Answer» 34. If the sides ABC are such that a=4 b=5 c=6 the the ratio in which excentre correspondimg to A divides the angle bisector AD in the ratio?

Discussion

4292.	A rectangular prism has the following dimensions:Length: 6.3 cmWidth: 6.2 cmHeight: 2.1 cmFind the volume.
Answer» A rectangular prism has the following dimensions: Length: 6.3 cm Width: 6.2 cm Height: 2.1 cm Find the volume.

4292.

A rectangular prism has the following dimensions:Length: 6.3 cmWidth: 6.2 cmHeight: 2.1 cmFind the volume.

Answer»

A rectangular prism has the following dimensions:

Length: 6.3 cm

Width: 6.2 cm

Height: 2.1 cm

Find the volume.

Discussion

4293.	Can a quadrilateral have 2 diagonals?
Answer» Can a quadrilateral have 2 diagonals?

Discussion

4294.	On 1st March, 2019, R accepted a Bill of Exchange of ₹ 20,000 from S payable 3 months after date in full settlement of his dues. On the same day S endorsed the Bill of Exchange to T together with a cheque for ₹ 5,000 in settlement of his debt to the latter. On 2nd March, 2019, T discounted the Bill of Exchange 6% p.a. with his bank. On maturity the Bill of Exchange was dishonoured.Journalise the transactions in the books of R and T.
Answer» On 1st March, 2019, R accepted a Bill of Exchange of ₹ 20,000 from S payable 3 months after date in full settlement of his dues. On the same day S endorsed the Bill of Exchange to T together with a cheque for ₹ 5,000 in settlement of his debt to the latter. On 2nd March, 2019, T discounted the Bill of Exchange 6% p.a. with his bank. On maturity the Bill of Exchange was dishonoured. Journalise the transactions in the books of R and T.

Discussion

4295.	V = 3 + 9t if t<9 V= 8 - 2t if t =10 Find the value of v (m/s) when t = 10
Answer» V = 3 + 9t if t<9 V= 8 - 2t if t =10 Find the value of v (m/s) when t = 10

4295.

V = 3 + 9t if t<9 V= 8 - 2t if t =10 Find the value of v (m/s) when t = 10

Answer»

V = 3 + 9t if t<9

V= 8 - 2t if t =10

Find the value of v (m/s) when t = 10

Discussion

4296.	Find the value of (383.08)2−(303.082)686.16.
Answer» Find the value of $\frac{(383.08)^{2} - ({303.08}^{2})}{686.16}$ .

Discussion

4297.	What is the square root of 12?
Answer» What is the square root of $12 ?$

Discussion

4298.	Choose the correct box and whiskers plot of the following data:2,3,8,6,4,15,18,12,22,26
Answer» Choose the correct box and whiskers plot of the following data: $2, 3, 8, 6, 4, 15, 18, 12, 22, 26$

Discussion

4299.	The digit at tens place of a two digit number is two times the digit at its units place. If the digits are interchanged and added to the original number, then the result will be 66. Find the original number.
Answer» The digit at tens place of a two digit number is two times the digit at its units place. If the digits are interchanged and added to the original number, then the result will be 66. Find the original number.

Discussion

4300.	6. One day I asked the son of my close friend about his age. He said, " One year ago, my dad was 8 times as old as me and now his age is equal to the square of my age". Find the age of son.
Answer» 6. One day I asked the son of my close friend about his age. He said, " One year ago, my dad was 8 times as old as me and now his age is equal to the square of my age". Find the age of son.

Discussion

Explore topic-wise InterviewSolutions in .

Using the statements below, find out the value of x.i) The L.C.M of x and 18 is 36.ii) The H.C.F of x and 18 is 2. 4

Question 57 For the given data below, calculate the mean of its median and mode. 6, 2, 5, 4, 3, 4, 4, 2, 3.

show that square of any odd positive integer can be of the form 6m+1 and 6m+3 for some integer m.

A rectangle whose length and breadth are 5 and 3 units, respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?

Ankit drives 120 km at 60 km/hr and the next 120 km at 40 km/hr. His average speed during the entire trip is:

A school starts at 8 a.m. The classes are for 5.25 hours . It takes 0.75 hour to reach school from Shally's house. It takes the same time for the return journey. At what time does Sally leave her home daily, and at what time does she reach home after school

Revenue from Operations ₹4,00,000; Gross Profit Ratio 25%; Operating Ratio 90%. Non-operating Expenses ₹2,000; Non-operating Income ₹22,000. Calculate Net Profit Ratio.

Mayank saves ₹4000 from his salary. If this is 20% of his salary, find his salary.

In any polynomial P(x) if P(x)=P(1/x) and P(1) = 2, then the value of P(2) i

Solve 10y-0.2(7-y)=19

The capital invested by 3 people A, B and C are in the ratio of 1 : 2 : 3 and profit earned by A is ₹50 less than that earned by B. Calculate the total profit in the business.

Convert 116 into a decimal number using long division.

In △ABC, bisectors of A and B intersect at point O. If ∠C=70∘. Find measure of ∠AOB.

Identify the greater number:53 or 35

Alida goes to church after every 2 days and visits the park after every 3 days. If she went to both places on Sunday, on which day will he visit them again?

Name the solid whose all different views are same.

Solve : by what number should -324 be divided to obtain -18

Question 121Solve the following question:Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earning he saves now ?

By what number should −338 be divided to get −112?

From the diagram, m∠PCR=, and m∠PCB=.

Find if it is bijectivef(x)=(X-2)(x-3)(x-4)

What must be subtracted from (4x3−3x+5) to get (2x2−3x3+5x−2) ?

Suppose you and 7 of your friends ate a medium pizza cut into 8 equal parts. Since you all were still hungry you ordered one more pizza. This time a large pizza, which is again cut into 8 equal parts. The percentage of the full large pizza eaten by you will be _____.

Q 138 parellelogram ABCD AM IS altitude corresponding to base BC and CN altitude corresponding base AB if ab=10cm am= 6cm cm=12cm then BC=

Construct an angle of 450 from a horizontal line.

ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.

The height of a triangle is three-fifth its base. If the height is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle.

Question 3(i)Express the number appearing in the following statements in standard form:1micron is equal to11000000m,

Jan is an athlete, and her daily routine entails running 10 laps around an 800 m race track, followed by a daily distance of km.

A number has two digits whose sum is 7. If 27is added to the number it's digits get interchanged . Find the number

Question 60In the following question, state whether the statement is True (T) or False (F):​​​​​​​(a−b)2=a2−b2

7. Using properties find -2÷ 3×3÷ 5+5÷ 2-3÷ 5×1÷ 6

Find the pairs of like fractions: 1. 4560 and 4590 2. 157 and 957 3. 117 and 9991500927 4. 32 and 23

Question 150 (i) In the given figure, PQ = PS and ∠1=∠2 Is ΔPQR≅ΔPSR? Give reason.

Question 23In the following question, out of the four options, only one is correct. Write the correct answer:The value of(7−1−8−1)−1−(3−1−4−1)−1:(a) 44(b) 56(c) 68(d) 12

1 km2 = ___ m2

Express (8)2 in the form of (a − b)2

Subtract the second polynomial from the first.(i) x2 - 9x + 3 ; -19x + 3 + 7x2 (ii) 2ab2 + 3a2b - 4ab ; 3ab -8ab2 + 2a2b

34. If the sides ABC are such that a=4 b=5 c=6 the the ratio in which excentre correspondimg to A divides the angle bisector AD in the ratio?

A rectangular prism has the following dimensions:Length: 6.3 cmWidth: 6.2 cmHeight: 2.1 cmFind the volume.

Can a quadrilateral have 2 diagonals?

V = 3 + 9t if t&lt;9 V= 8 - 2t if t =10 Find the value of v (m/s) when t = 10

Find the value of (383.08)2−(303.082)686.16.

What is the square root of 12?

Choose the correct box and whiskers plot of the following data:2,3,8,6,4,15,18,12,22,26

The digit at tens place of a two digit number is two times the digit at its units place. If the digits are interchanged and added to the original number, then the result will be 66. Find the original number.

6. One day I asked the son of my close friend about his age. He said, " One year ago, my dad was 8 times as old as me and now his age is equal to the square of my age". Find the age of son.

Question 60In the following question, state whether the statement is True (T) or False (F):(a−b)2=a2−b2

V = 3 + 9t if t<9 V= 8 - 2t if t =10 Find the value of v (m/s) when t = 10