25365 + Interview Questions in Mathematics Page 60 InterviewSolution

2951.	Question 109(i) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? From this pie chart, answer the following ? Which type of beverage is liked by the maximum number of people ?
Answer» Question 109(i) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? From this pie chart, answer the following ? Which type of beverage is liked by the maximum number of people ?

2951.

Question 109(i) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? From this pie chart, answer the following ? Which type of beverage is liked by the maximum number of people ?

Answer»

Question 109(i)

A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ?

From this pie chart, answer the following ?
Which type of beverage is liked by the maximum number of people ?

2952.	m-m-12=1-m-23
Answer» m-m- $\frac{1}{2}$ =1-m- $\frac{2}{3}$

2954.	Is there any formula to find circumcentre of a triangle
Answer» Is there any formula to find circumcentre of a triangle

2956.	If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?
Answer» If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?

2957.	A rhombus can be constructed given the measurement of its
Answer» A rhombus can be constructed given the measurement of its

2958.	Let A={2,4,6,8} and B={6,8,10,12}. Find A∪B
Answer» Let $A = {2, 4, 6, 8}$ and $B = {6, 8, 10, 12}$ . Find $A \cup B$

2962.	The Pythagorean triplet whose smallest number is 6 is _____. Choose the correct answer to fill in the blanks.
Answer» The Pythagorean triplet whose smallest number is 6 is _____. Choose the correct answer to fill in the blanks.

2963.	What is Total internal reflection?
Answer» What is Total internal reflection?

2964.	12 The point P divides the line segment joning A(-5,1) and B(3,5) in the ratio of alpha : 1 internally .Point Qand R are (1,5) and (7,2) restactively .If area of tringle PQR is 2 then find the value of alpha ??
Answer» 12 The point P divides the line segment joning A(-5,1) and B(3,5) in the ratio of alpha : 1 internally .Point Qand R are (1,5) and (7,2) restactively .If area of tringle PQR is 2 then find the value of alpha ??

2965.	In a fair, there is a shop with gifts. You have to throw two dice at once. Before throwing, you have to predict the sum of the face values of the two dice. If you get the sum as predicted, you will get a free gift. Which number has the maximum chance of getting you the gift?
Answer» In a fair, there is a shop with gifts. You have to throw two dice at once. Before throwing, you have to predict the sum of the face values of the two dice. If you get the sum as predicted, you will get a free gift. Which number has the maximum chance of getting you the gift?

2967.	Solve the following :Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age . What is Laxmi’s age?
Answer» Solve the following : Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age . What is Laxmi’s age?

2959.	Estimate 77.98
Answer» Estimate 77.98

2968.	30.8 to the power 5 divided by 4 to the power 6
Answer» 30.8 to the power 5 divided by 4 to the power 6

2969.	Evaluate the following:(1) 3pq3× 4qr(2) -2a3b×3ab2c
Answer» Evaluate the following: (1) 3p $q^{3} \times$ 4qr (2) -2 $a^{3} b \times 3 a b^{2} c$

2970.	Evaluate (8a3−27b3) if ab=32
Answer» Evaluate $(8 a^{3} - 27 b^{3})$ if $\frac{a}{b} = \frac{3}{2}$

2971.	An orchard contains 5 rows of orange trees with 7 trees in each rows. The number of rows of trees that needs to be planted to make a total of 49 oranges trees in the orchard is .
Answer» An orchard contains $5$ rows of orange trees with $7$ trees in each rows. The number of rows of trees that needs to be planted to make a total of $49$ oranges trees in the orchard is .

2972.	The difference between two natural numbers is 66. These numbers are in the ratio 5 : 2. Write this statement in equation form.
Answer» The difference between two natural numbers is 66. These numbers are in the ratio 5 : 2. Write this statement in equation form.

2973.	A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation,etc. were Rs 1000, find his total profit and the selling price of 600 quintals of rice.
Answer» A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation,etc. were Rs 1000, find his total profit and the selling price of 600 quintals of rice.

2974.	A is a subset of B. If n(A) = 10 and n(B) = 30, then n(B U A) = __________ .
Answer» A is a subset of B. If n(A) = 10 and n(B) = 30, then n(B U A) = __________ .

2975.	What cross-sections do you get when you give a(i) vertical cut (ii) horizontal cutto the following solids?(a) A brick(b) A round apple(c) A die(d) A circular pipe(e) An ice-cream cone.
Answer» What cross-sections do you get when you give a (i) vertical cut (ii) horizontal cut to the following solids? (a) A brick (b) A round apple (c) A die (d) A circular pipe (e) An ice-cream cone.

2976.	Question 134 Of the four quadrilaterals - square, rectangle, rhombus and trapezium - one is somewhat different from the others because of its design. Find it and give justification.
Answer» Question 134 Of the four quadrilaterals - square, rectangle, rhombus and trapezium - one is somewhat different from the others because of its design. Find it and give justification.

2977.	An angle is 20o less than its complement. Find its measure.
Answer» An angle is 20^o less than its complement. Find its measure.

2978.	Point (–7, 0) lies on the _________ direction of _________ axis.
Answer» Point (–7, 0) lies on the _________ direction of _________ axis.

2979.	Mass of Mars is 6.39×1021kg and mass of Mercury is 3.285×1023kg. What is the total mass in kg?
Answer» Mass of Mars is $6.39 \times 10^{21} k g$ and mass of Mercury is $3.285 \times 10^{23} k g$ . What is the total mass in $k g$ ?

2980.	A positive integer is divided by 63, we get remainder as 25 the number when that same is divided by 9 is =to
Answer» A positive integer is divided by 63, we get remainder as 25 the number when that same is divided by 9 is =to

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Question 109(i) A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the finding of this survey ? From this pie chart, answer the following ? Which type of beverage is liked by the maximum number of people ?

m-m-12=1-m-23

Is there any formula to find circumcentre of a triangle

Find the missing number. X91218Y681612 ___

If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?

A rhombus can be constructed given the measurement of its

Let A={2,4,6,8} and B={6,8,10,12}. Find A∪B

Estimate 77.98

Omar and Gina went shopping in edmart and bought the following items: ITEM BUYER COST FOOTBALL OMAR $10 NOTEBOOK GINA $5 BASEBALL BAT GINA $20 VIDEO GAME CONSOLE OMAR $200 LAMP GINA $50 PEN-SET OMAR $3 The baseball bat costs more than the football by an amount of $ .

Question 84(ii)Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow.How many children spend more than 2 h in playing games?

The Pythagorean triplet whose smallest number is 6 is _____. Choose the correct answer to fill in the blanks.

What is Total internal reflection?

12 The point P divides the line segment joning A(-5,1) and B(3,5) in the ratio of alpha : 1 internally .Point Qand R are (1,5) and (7,2) restactively .If area of tringle PQR is 2 then find the value of alpha ??

In a fair, there is a shop with gifts. You have to throw two dice at once. Before throwing, you have to predict the sum of the face values of the two dice. If you get the sum as predicted, you will get a free gift. Which number has the maximum chance of getting you the gift?

Question 86 (xix)Using suitable identities, evaluate the following:(132)2−(68)2

Solve the following :Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age . What is Laxmi’s age?

30.8 to the power 5 divided by 4 to the power 6

Evaluate the following:(1) 3pq3× 4qr(2) -2a3b×3ab2c

Evaluate (8a3−27b3) if ab=32

An orchard contains 5 rows of orange trees with 7 trees in each rows. The number of rows of trees that needs to be planted to make a total of 49 oranges trees in the orchard is .

The difference between two natural numbers is 66. These numbers are in the ratio 5 : 2. Write this statement in equation form.

A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation,etc. were Rs 1000, find his total profit and the selling price of 600 quintals of rice.

A is a subset of B. If n(A) = 10 and n(B) = 30, then n(B U A) = __________ .

What cross-sections do you get when you give a(i) vertical cut (ii) horizontal cutto the following solids?(a) A brick(b) A round apple(c) A die(d) A circular pipe(e) An ice-cream cone.

Question 134 Of the four quadrilaterals - square, rectangle, rhombus and trapezium - one is somewhat different from the others because of its design. Find it and give justification.

An angle is 20o less than its complement. Find its measure.

Point (–7, 0) lies on the _________ direction of _________ axis.

Mass of Mars is 6.39×1021kg and mass of Mercury is 3.285×1023kg. What is the total mass in kg?

A positive integer is divided by 63, we get remainder as 25 the number when that same is divided by 9 is =to

I bought a second-hand car for Rs. 50,000, it had transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit %?

Factorize the(x-3) ?

The dimensions of a field 15 m by 12 m. A pit 7.5 M long 6 metre wide and 1.5 m Deep is dug at one corner off the field, the earth removed is evenly spread over the remaining area of the field calculate the rise in the level of the field.

Area of the triangle whose sides are 13cm, 9cm and 6cm is

If I draw a quadrilateral and then draw all its diagonals. How many triangles will I find?

Where does 74 lie on the number line?

ABCD is a rhombus. if ∠BAC=38∘, find :(i) ∠ACB (ii) ∠DAC (iii) ∠ADC.

Let T be a tree with 10 vertices. The sum of the degrees of all the vertices in T is 18

38. If x= 3+22, find the value of 1/x

The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is 12936 cm3, then the total surface area of the cylinder is

Question 2Draw an angle of measure 147∘ and construct its bisector.

Question 8Factorise each of the following:(i) 8a3+b3+12a2b+6ab2(ii) 8a3−b3−12a2b+6ab2(iii) 27−125a3−135a+225a2(vi) 64a3−27b3−144a2b+108ab2(v) 27p3−1216−92p2+14p

Question 47 Histogram given below shows the number of people owning the different number of books. The total number of people surveyed are ___,

the set of values of x satisfying 2X-3/3x-5>3

Question 69If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

Express the following as difference of two squares:

Derive the formulae 2Vv/v+V and v+V/2.

If A= x% of y and B = y % of x then, which of the following is true?

Point (–7, 0) lies on the _ direction of _ axis.

2981.	I bought a second-hand car for Rs. 50,000, it had transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit %?
Answer» I bought a second-hand car for Rs. 50,000, it had transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit %?

2983.	The dimensions of a field 15 m by 12 m. A pit 7.5 M long 6 metre wide and 1.5 m Deep is dug at one corner off the field, the earth removed is evenly spread over the remaining area of the field calculate the rise in the level of the field.
Answer» The dimensions of a field 15 m by 12 m. A pit 7.5 M long 6 metre wide and 1.5 m Deep is dug at one corner off the field, the earth removed is evenly spread over the remaining area of the field calculate the rise in the level of the field.

2984.	Area of the triangle whose sides are 13cm, 9cm and 6cm is
Answer» Area of the triangle whose sides are 13cm, 9cm and 6cm is

2985.	If I draw a quadrilateral and then draw all its diagonals. How many triangles will I find?
Answer» If I draw a quadrilateral and then draw all its diagonals. How many triangles will I find?

2986.	Where does 74 lie on the number line?
Answer» Where does $\frac{7}{4}$ lie on the number line?

2988.	Let T be a tree with 10 vertices. The sum of the degrees of all the vertices in T is 18
Answer» Let T be a tree with 10 vertices. The sum of the degrees of all the vertices in T is 18

2989.	38. If x= 3+22, find the value of 1/x
Answer» 38. If x= 3+22, find the value of 1/x

2990.	The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is 12936 cm3, then the total surface area of the cylinder is
Answer» The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is $12936 c m^{3}$ , then the total surface area of the cylinder is

2992.	A firm purchased a second-hand machine on 1st April, 2015 and paid ₹ 1,40,000 for it. It spent on its overhauling and installation ₹ 20,000. On 1st October, 2015, another machine costing ₹ 80,000 was purchased. On 1st October, 2017, the machine purchased on 1st April, 2015 was disposed off for ₹ 1,04,000, charging CGST and SGST 6% each and a new machine costing ₹ 2,00,000 was installed, paying CGST and SGST 6% each. Depreciation was provided 10% p.a. by the Straight Line Method. Give the Machinery Account and Depreciation Account for 3 years. Firm's books are closed on 31st March every year.
Answer» A firm purchased a second-hand machine on 1st April, 2015 and paid ₹ 1,40,000 for it. It spent on its overhauling and installation ₹ 20,000. On 1st October, 2015, another machine costing ₹ 80,000 was purchased. On 1st October, 2017, the machine purchased on 1st April, 2015 was disposed off for ₹ 1,04,000, charging CGST and SGST 6% each and a new machine costing ₹ 2,00,000 was installed, paying CGST and SGST 6% each. Depreciation was provided 10% p.a. by the Straight Line Method. Give the Machinery Account and Depreciation Account for 3 years. Firm's books are closed on 31st March every year.

2993.	Question 8Factorise each of the following:(i) 8a3+b3+12a2b+6ab2(ii) 8a3−b3−12a2b+6ab2(iii) 27−125a3−135a+225a2(vi) 64a3−27b3−144a2b+108ab2(v) 27p3−1216−92p2+14p
Answer» Question 8 Factorise each of the following: $(i) 8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2} (i i) 8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2} (i i i) 27 - 125 a^{3} - 135 a + 225 a^{2} (v i) 64 a^{3} - 27 b^{3} - 144 a^{2} b + 108 a b^{2} (v) 27 p^{3} - \frac{1}{216} - \frac{9}{2} p^{2} + \frac{1}{4} p$