16437 + Interview Questions in Mathematics Page 103 InterviewSolution

5101.	A rail road curve is to be laid out on a circle. The radius to be used if the track is to change direction by 30∘ in a distance of 60 m=
Answer» A rail road curve is to be laid out on a circle. The radius to be used if the track is to change direction by $30^{\circ}$ in a distance of $60 m =$

Discussion

5102.	Tap on the greatest number.
Answer» Tap on the greatest number.

Discussion

5103.	Evaluate:2.7÷10=
Answer» $Evaluate : 2.7 \div 10 =$

Discussion

5104.	Question 4(v)Give expression for the following cases.7 subtracted from - m
Answer» Question 4(v) Give expression for the following cases. 7 subtracted from - m

5104.

Question 4(v)Give expression for the following cases.7 subtracted from - m

Answer»

Question 4(v)

Give expression for the following cases.

7 subtracted from - m

Discussion

5105.	Find he volume of a closed wooden bkx having dimension and thickness as 32cm X 20 cmX 17 cm and 1cm respectively.
Answer» Find he volume of a closed wooden bkx having dimension and thickness as 32cm X 20 cmX 17 cm and 1cm respectively.

Discussion

5106.	Find a pattern for these sequences: a = 1, 2, 3, 4... b = 0, 2, 4, 6, 8... c = 1, 3, 5, 7...
Answer» Find a pattern for these sequences: a = 1, 2, 3, 4... b = 0, 2, 4, 6, 8... c = 1, 3, 5, 7...

5106.

Find a pattern for these sequences: a = 1, 2, 3, 4... b = 0, 2, 4, 6, 8... c = 1, 3, 5, 7...

Answer»

Find a pattern for these sequences:

a = 1, 2, 3, 4...

b = 0, 2, 4, 6, 8...

c = 1, 3, 5, 7...

Discussion

5107.	In a race of 1 km,p givesq a start of 100m and still wins by 20s,but if p gives q a start of 25 seconds , q wins by 5o ms.Find the time taken by p to run 1 km
Answer» In a race of 1 km,p givesq a start of 100m and still wins by 20s,but if p gives q a start of 25 seconds , q wins by 5o ms.Find the time taken by p to run 1 km

Discussion

5108.	Which of the following are sets?i.) The collection of all months of a year beginning with the letter J.ii.) The collection of ten most talented writers of India.iii.) A team of eleven best cricket batsmen of the world.iv.) The collection of all boys in your class.v.) The collection of all natural numbers less than 100.vi.) A collection of novels written by the writer Munshi Prem Chand.vii.) The collection of all even integers.viii.) The collection of questions in this chapter.xi.) A collection of most dangerous animals of the world.
Answer» Which of the following are sets? $i .)$ The collection of all months of a year beginning with the letter J. $i i .)$ The collection of ten most talented writers of India. $i i i .)$ A team of eleven best cricket batsmen of the world. $i v .)$ The collection of all boys in your class. $v .)$ The collection of all natural numbers less than 100. $v i .)$ A collection of novels written by the writer Munshi Prem Chand. $v i i .)$ The collection of all even integers. $v i i i .)$ The collection of questions in this chapter. $x i .)$ A collection of most dangerous animals of the world.

Discussion

5109.	Find the value of: 59.365 + 362.58 + 64.187.
Answer» Find the value of: 59.365 + 362.58 + 64.187.

Discussion

5110.	If 99913 is represented in form of ab13, then the value of a and b is ____ and ____ respectively.
Answer» If $\frac{999}{13}$ is represented in form of $a \frac{b}{13}$ , then the value of a and b is ____ and ____ respectively.

Discussion

5111.	Three angles lie on a straight line and are in the ratio 1:2:3. Find the angles.
Answer» Three angles lie on a straight line and are in the ratio 1:2:3. Find the angles.

Discussion

5112.	np_n=2{}^np_{n-2}
Answer» np_n=2{}^np_{n-2}

Discussion

5113.	42. If area of different parts of a cubiodial room are :- Xsq.m Ysq.m Zsq.m Find the volume of the cubiodial room
Answer» 42. If area of different parts of a cubiodial room are :- Xsq.m Ysq.m Zsq.m Find the volume of the cubiodial room

Discussion

5114.	The length and breadth of a rectangular field are in the ratio 4:5. If the length is 20 m, find the breadth of the field.
Answer» The length and breadth of a rectangular field are in the ratio $4 : 5$ . If the length is $20 m$ , find the breadth of the field.

Discussion

5115.	Amir bought a piano for ₹60,000 and sold it for ₹72000. Find the profit.12000
Answer» Amir bought a piano for ₹60,000 and sold it for ₹72000. Find the profit. 12000

Discussion

5116.	If 4 oranges weighs same as 8 apples, what will be the cost of purchasing 8 oranges?4 apples weighs 1 KgPrice of 1 kg oranges = ₹ 50
Answer» If 4 oranges weighs same as 8 apples, what will be the cost of purchasing 8 oranges? 4 apples weighs 1 Kg Price of 1 kg oranges = ₹ 50

Discussion

5117.	The wall of a house has a total height of 21 m and depth of 4 m. Height of the wall above the surface is m.
Answer» The wall of a house has a total height of 21 m and depth of 4 m. Height of the wall above the surface is m.

Discussion

5118.	If the cylinder with height 2 cm has a volume of 8π cm3 then, the radius of the cylinder is.
Answer» If the cylinder with height $2 c m$ has a volume of $8 π c m^{3}$ then, the radius of the cylinder is.

Discussion

5119.	How many 7 digit numbers are present such that sum of digits is 10 and are made by 1,2 and 3 only
Answer» How many 7 digit numbers are present such that sum of digits is 10 and are made by 1,2 and 3 only

Discussion

5120.	John cuts the pizza into 5 equal pieces and puts 2 pieces in the freezer. What fraction of the pizza does John put in the freezer?
Answer» John cuts the pizza into 5 equal pieces and puts 2 pieces in the freezer. What fraction of the pizza does John put in the freezer?

Discussion

5121.	Q3.The H.C.F of two number is 14 and their L.C.M is 2940 .If one of the number is 98 find the other number.
Answer» Q3.The H.C.F of two number is 14 and their L.C.M is 2940 .If one of the number is 98 find the other number.

Discussion

5122.	The three–dimensional figure formed by rotating a circle is ___.
Answer» The three–dimensional figure formed by rotating a circle is ___.

Discussion

5123.	The smallest three-digit number that can be formed using 6, 3 and 8 without repetition is ___ .
Answer» The smallest three-digit number that can be formed using 6, 3 and 8 without repetition is ___ .

Discussion

5124.	In an election, the votes cast for two of the candidates were in the ratio 5:7. If the successful candidates received 20734 votes, how many votes did his opponents receive?
Answer» In an election, the votes cast for two of the candidates were in the ratio 5:7. If the successful candidates received 20734 votes, how many votes did his opponents receive?

Discussion

5125.	The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the field. Also, find the cost of ploughing the field at ₹ 5 per m2.
Answer» The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the field. Also, find the cost of ploughing the field at ₹ 5 per m².

Discussion

5126.	Question 3 State whether the following quadrilaterals are similar or not:
Answer» Question 3 State whether the following quadrilaterals are similar or not:

Discussion

5127.	Question 51(vi)The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow.On which day was the temperature 35 ∘C for the first week?
Answer» Question 51(vi) The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow. On which day was the temperature 35 $\circ_{C}$ for the first week?

Discussion

5128.	The value of 4 × (256)–1/4 ÷ (243)1/5 is ________.
Answer» The value of 4 × (256)^–1/4 ÷ (243)^1/5 is ________.

Discussion

5129.	600 males and 492 females need to be transported from an island via sea. In each trip, number of males transported are same, and also number of females transported are same. The minimum number of passengers per trip is .
Answer» 600 males and 492 females need to be transported from an island via sea. In each trip, number of males transported are same, and also number of females transported are same. The minimum number of passengers per trip is .

Discussion

5130.	The height of a door is 43 feet. What will be the height of the same door in inches?
Answer» $The height of a door is \frac{4}{3} feet.$ $What will be the height of the same door$ $in inches?$

Discussion

5131.	What can be said about the profit of a company, which sells tablets, from the following data? MonthJanuaryFebruaryMarchAprilMayNumber of tablets sold11009816451234990
Answer» What can be said about the profit of a company, which sells tablets, from the following data? $\begin{matrix} Month & January & February & March & April & May Number of tablets sold & 1100 & 981 & 645 & 1234 & 990 \end{matrix}$

5131.

What can be said about the profit of a company, which sells tablets, from the following data? MonthJanuaryFebruaryMarchAprilMayNumber of tablets sold11009816451234990

Answer»

What can be said about the profit of a company, which sells tablets, from the following data?

$\begin{matrix} Month & January & February & March & April & May Number of tablets sold & 1100 & 981 & 645 & 1234 & 990 \end{matrix}$

Discussion

5132.	How to find that pair of straight lines angles step by step
Answer» How to find that pair of straight lines angles step by step

Discussion

5133.	A tank withrectangular base and rectangular sides, open at the top is to beconstructed so that its depth is 2 m and volume is 8 m3.If building of tank costs Rs 70 per sq meters for the base and Rs 45per square metre for sides. What is the cost of least expensive tank?
Answer» A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8 m³. If building of tank costs Rs 70 per sq meters for the base and Rs 45 per square metre for sides. What is the cost of least expensive tank?

Discussion

5134.	Question 3 (a) Write the following as decimal: seven-tenths
Answer» Question 3 (a) Write the following as decimal: seven-tenths

5134.

Question 3 (a) Write the following as decimal: seven-tenths

Answer»

Question 3 (a)

Write the following as decimal:

seven-tenths

Discussion

5135.	Construct a triangle XYZ in which ∠Y=30∘,∠Z=90∘ and XY+YZ+ZX=11 cm.
Answer» Construct a triangle XYZ in which $∠ Y = 30^{\circ}, ∠ Z = 90^{\circ} a n d X Y + Y Z + Z X = 11 c m$ .

Discussion

5136.	Draw the front view of the given shape.
Answer» Draw the front view of the given shape.

Discussion

5137.	16.Integral of 1/(ax+b)
Answer» 16.Integral of 1/(ax+b)

Discussion

5138.	In a paralle\log ram ABCD ,diagonal BD bisects one angle . Prove that the diagonal 1. bisects the other angle 2. ABCD is a rhombu
Answer» In a paralle\log ram ABCD ,diagonal BD bisects one angle . Prove that the diagonal 1. bisects the other angle 2. ABCD is a rhombu

Discussion

5139.	Find a → b → c →, when(i) a →=2i^-3j^, b →=i^+j^-k^ and c →=3i^-k^(ii) a →=i^-2j^+3k^, b →=2i^+j^-k^ and c →=j^+k^(iii) a→=2i^+3j^+k^, b→=i^-2j^+k^ and c→=-3i^+j^+2k^
Answer» Find $[\vec{a} \vec{b} \vec{c}]$ , when (i) $\vec{a} = 2 \hat{i} - 3 \hat{j}, \vec{b} = \hat{i} + \hat{j} - \hat{k} and \vec{c} = 3 \hat{i} - \hat{k}$ (ii) $\vec{a} = \hat{i} - 2 \hat{j} + 3 \hat{k}, \vec{b} = 2 \hat{i} + \hat{j} - \hat{k} and \vec{c} = \hat{j} + \hat{k}$ (iii) $\vec{a} = 2 \hat{i} + 3 \hat{j} + \hat{k}, \vec{b} = \hat{i} - 2 \hat{j} + \hat{k} and \vec{c} = - 3 \hat{i} + \hat{j} + 2 \hat{k}$

Discussion

5140.	How many arrangements can be made out out of the letters of the word COMMITTEE at a time , such tthat the four vowels do not come together
Answer» How many arrangements can be made out out of the letters of the word COMMITTEE at a time , such tthat the four vowels do not come together

Discussion

5141.	In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC = 135∘. Find (∠ BOC3).
Answer» In the figure below, a ray OC extends from a point O on a straight line AB. If $∠$ AOC = $135^{\circ}$ . Find $(\frac{∠ B O C}{3})$ .

5141.

In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC = 135∘. Find (∠ BOC3).

Answer»

In the figure below, a ray OC extends from a point O on a straight line AB. If $∠$ AOC = $135^{\circ}$ . Find $(\frac{∠ B O C}{3})$ .

Discussion

5142.	0.205-0.2014 can be expressed as(1) 0.0036(3) 4.0×10-3(2) 3.6×10-3(4) 4 x 10-3
Answer» 0.205-0.2014 can be expressed as(1) 0.0036(3) 4.0×10-3(2) 3.6×10-3(4) 4 x 10-3

Discussion

5143.	While the deriving the mirror formula we use all the narrative anf positive signs accordingly then while using tye formula why do we need to use the signs again?
Answer» While the deriving the mirror formula we use all the narrative anf positive signs accordingly then while using tye formula why do we need to use the signs again?

Discussion

5144.	If 5 kg of rice costs ₹240.50, then the price of 1 kg of rice is ____.
Answer» If 5 kg of rice costs ₹240.50, then the price of 1 kg of rice is ____.

Discussion

5145.	Round off 1023 to the nearest ten.
Answer» Round off 1023 to the nearest ten.

Discussion

5146.	The value in a data set that is different from all other values of the data set is called .
Answer» The value in a data set that is different from all other values of the data set is called .

Discussion

5147.	Is half of a circumfrence called an arc
Answer» Is half of a circumfrence called an arc

Discussion

5148.	ab×a×ab×b equals
Answer» $a b \times a \times a b \times b$ equals

Discussion

5149.	Question 36 In the given question, state whether the given statement is True or False. A four-digit number abcd is divisible by 4, if ab is divisible by 4.
Answer» Question 36 In the given question, state whether the given statement is True or False. A four-digit number abcd is divisible by 4, if ab is divisible by 4.

Discussion

5150.	Fibonacci numbers Take 10 numbers as shown below: a, b, (a + b), (a + 2b), (2a +3b), (3a + 5b), (5a +8b), (8a +13b), (13a + 21b), and (21a +34b). Sum of all these numbers =11(5a + 8b) =11 × 7th number. Taking a = 8, b= 13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 × 7th number.
Answer» Fibonacci numbers Take 10 numbers as shown below: a, b, (a + b), (a + 2b), (2a +3b), (3a + 5b), (5a +8b), (8a +13b), (13a + 21b), and (21a +34b). Sum of all these numbers =11(5a + 8b) =11 $\times$ 7th number. Taking a = 8, b= 13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 $\times$ 7th number.

5150.

Fibonacci numbers Take 10 numbers as shown below: a, b, (a + b), (a + 2b), (2a +3b), (3a + 5b), (5a +8b), (8a +13b), (13a + 21b), and (21a +34b). Sum of all these numbers =11(5a + 8b) =11 × 7th number. Taking a = 8, b= 13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 × 7th number.

Answer»

Fibonacci numbers Take 10 numbers as shown below:

a, b, (a + b), (a + 2b), (2a +3b), (3a + 5b), (5a +8b), (8a +13b), (13a + 21b), and (21a +34b).

Sum of all these numbers =11(5a + 8b) =11 $\times$ 7th number.

Taking a = 8, b= 13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 $\times$ 7th number.

Discussion

Explore topic-wise InterviewSolutions in .

A rail road curve is to be laid out on a circle. The radius to be used if the track is to change direction by 30∘ in a distance of 60 m=

Tap on the greatest number.

Evaluate:2.7÷10=

Question 4(v)Give expression for the following cases.7 subtracted from - m

Find he volume of a closed wooden bkx having dimension and thickness as 32cm X 20 cmX 17 cm and 1cm respectively.

Find a pattern for these sequences: a = 1, 2, 3, 4... b = 0, 2, 4, 6, 8... c = 1, 3, 5, 7...

In a race of 1 km,p givesq a start of 100m and still wins by 20s,but if p gives q a start of 25 seconds , q wins by 5o ms.Find the time taken by p to run 1 km

Find the value of: 59.365 + 362.58 + 64.187.

If 99913 is represented in form of ab13, then the value of a and b is ____ and ____ respectively.

Three angles lie on a straight line and are in the ratio 1:2:3. Find the angles.

np_n=2{}^np_{n-2}

42. If area of different parts of a cubiodial room are :- Xsq.m Ysq.m Zsq.m Find the volume of the cubiodial room

The length and breadth of a rectangular field are in the ratio 4:5. If the length is 20 m, find the breadth of the field.

Amir bought a piano for ₹60,000 and sold it for ₹72000. Find the profit.12000

If 4 oranges weighs same as 8 apples, what will be the cost of purchasing 8 oranges?4 apples weighs 1 KgPrice of 1 kg oranges = ₹ 50

The wall of a house has a total height of 21 m and depth of 4 m. Height of the wall above the surface is m.

If the cylinder with height 2 cm has a volume of 8π cm3 then, the radius of the cylinder is.

How many 7 digit numbers are present such that sum of digits is 10 and are made by 1,2 and 3 only

John cuts the pizza into 5 equal pieces and puts 2 pieces in the freezer. What fraction of the pizza does John put in the freezer?

Q3.The H.C.F of two number is 14 and their L.C.M is 2940 .If one of the number is 98 find the other number.

The three–dimensional figure formed by rotating a circle is ___.

The smallest three-digit number that can be formed using 6, 3 and 8 without repetition is ___ .

In an election, the votes cast for two of the candidates were in the ratio 5:7. If the successful candidates received 20734 votes, how many votes did his opponents receive?

The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the field. Also, find the cost of ploughing the field at ₹ 5 per m2.

Question 3 State whether the following quadrilaterals are similar or not:

Question 51(vi)The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow.On which day was the temperature 35 ∘C for the first week?

The value of 4 × (256)–1/4 ÷ (243)1/5 is ________.

600 males and 492 females need to be transported from an island via sea. In each trip, number of males transported are same, and also number of females transported are same. The minimum number of passengers per trip is .

The height of a door is 43 feet. What will be the height of the same door in inches?

What can be said about the profit of a company, which sells tablets, from the following data? MonthJanuaryFebruaryMarchAprilMayNumber of tablets sold11009816451234990

How to find that pair of straight lines angles step by step

A tank withrectangular base and rectangular sides, open at the top is to beconstructed so that its depth is 2 m and volume is 8 m3.If building of tank costs Rs 70 per sq meters for the base and Rs 45per square metre for sides. What is the cost of least expensive tank?

Question 3 (a) Write the following as decimal: seven-tenths

Construct a triangle XYZ in which ∠Y=30∘,∠Z=90∘ and XY+YZ+ZX=11 cm.

Draw the front view of the given shape.

16.Integral of 1/(ax+b)

In a paralle\log ram ABCD ,diagonal BD bisects one angle . Prove that the diagonal 1. bisects the other angle 2. ABCD is a rhombu

Find a → b → c →, when(i) a →=2i^-3j^, b →=i^+j^-k^ and c →=3i^-k^(ii) a →=i^-2j^+3k^, b →=2i^+j^-k^ and c →=j^+k^(iii) a→=2i^+3j^+k^, b→=i^-2j^+k^ and c→=-3i^+j^+2k^

How many arrangements can be made out out of the letters of the word COMMITTEE at a time , such tthat the four vowels do not come together

In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC = 135∘. Find (∠ BOC3).

0.205-0.2014 can be expressed as(1) 0.0036(3) 4.0×10-3(2) 3.6×10-3(4) 4 x 10-3

While the deriving the mirror formula we use all the narrative anf positive signs accordingly then while using tye formula why do we need to use the signs again?

If 5 kg of rice costs ₹240.50, then the price of 1 kg of rice is ____.

Round off 1023 to the nearest ten.

The value in a data set that is different from all other values of the data set is called .

Is half of a circumfrence called an arc

ab×a×ab×b equals

Question 36 In the given question, state whether the given statement is True or False. A four-digit number abcd is divisible by 4, if ab is divisible by 4.

If 99913 is represented in form of ab13, then the value of a and b is and respectively.