25365 + Interview Questions in Mathematics Page 247 InterviewSolution

12301.	How many 4 digits number less than 7000 can be formed using the digits 0,5,7,1,2,6,8?
Answer» How many $4$ digits number less than $7000$ can be formed using the digits $0, 5, 7, 1, 2, 6, 8$ ?

Discussion

12302.	Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
Answer» Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.

Discussion

12303.	Question 124 Work out the surface area of the following shape.
Answer» Question 124 Work out the surface area of the following shape.

12303.

Question 124 Work out the surface area of the following shape.

Answer»

Question 124

Work out the surface area of the following shape.

Discussion

12304.	Fill in the blanks in each of the following so as to make the statement true. (i) Two quantities are said to vary ___ with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same. (ii) x and y are said to vary directy with each other if for some positive number k,___ = k. (iii) If u= 3 v, then u and v vary___ with each other.
Answer» Fill in the blanks in each of the following so as to make the statement true. (i) Two quantities are said to vary ___ with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same. (ii) x and y are said to vary directy with each other if for some positive number k,___ = k. (iii) If u= 3 v, then u and v vary___ with each other.

Discussion

12305.	Find the multiplicative inverse of (−7)−2÷(90)−1.
Answer» Find the multiplicative inverse of $(- 7)^{- 2} \div (90)^{- 1}$ .

Discussion

12306.	A circular park of radius 6 cm has a path all around its perimeter. If the width of the path is 7 cm, then the area of the path is
Answer» A circular park of radius 6 cm has a path all around its perimeter. If the width of the path is 7 cm, then the area of the path is

Discussion

12307.	33.5g of unknown gas has pressure P at temperature T K in a vessel. On increasing the temperature by 50℃ , 1g of the gas was given out to maintain the pressure P. The original temperature was:
Answer» 33.5g of unknown gas has pressure P at temperature T K in a vessel. On increasing the temperature by 50℃ , 1g of the gas was given out to maintain the pressure P. The original temperature was:

Discussion

12308.	In the given frequency distribution, median term(s) is/are ______.Age in yearsNumber of people15316817101810195204
Answer» In the given frequency distribution, median term(s) is/are ______. $\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$

Discussion

12309.	The diagonal of a rectangle is 65 centimetres long and one of its sides is 63 centimeres long. What is the length of the other side?
Answer» The diagonal of a rectangle is 65 centimetres long and one of its sides is 63 centimeres long. What is the length of the other side?

Discussion

12310.	What is the order of rotational symmetry of this octagon? 4
Answer» What is the order of rotational symmetry of this octagon? 4

Discussion

12311.	Question 97 A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %
Answer» Question 97 A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %

12311.

Question 97 A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %

Answer»

Question 97

A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %

Discussion

12312.	If xi are the mid-points of the class intervals of grouped data, fi are the corresponding frequencies and ¯x is the mean, then ∑fi(xi−¯x) is equal to ____.
Answer» If $x_{i}$ are the mid-points of the class intervals of grouped data, $f_{i}$ are the corresponding frequencies and $¯ x$ is the mean, then $\sum f_{i} (x_{i} - ¯ x)$ is equal to ____.

Discussion

12313.	Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.
Answer» Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.

Discussion

12314.	Which of the following is the probability of getting an even number by throwing a dice?
Answer» Which of the following is the probability of getting an even number by throwing a dice?

Discussion

12315.	The number lies between 100000 and 110000 is exactly divisible by 8,15,21,
Answer» The number lies between 100000 and 110000 is exactly divisible by 8,15,21 ,

Discussion

12316.	15. A man has 50 paise and 25 paise coins worth rupee 5 . The value of the 50 paise coins is equal to that of the 25 paise coins . How many coins of each has he
Answer» 15. A man has 50 paise and 25 paise coins worth rupee 5 . The value of the 50 paise coins is equal to that of the 25 paise coins . How many coins of each has he

Discussion

12317.	Which property is used to construct a rectangle given one diagonal and angle between diagonals?
Answer» Which property is used to construct a rectangle given one diagonal and angle between diagonals?

Discussion

12318.	What are the common factors of 3x3y, 5xy2 and 15xy ?
Answer» What are the common factors of $3 x^{3} y, 5 x y^{2} a n d 15 x y ?$

Discussion

12319.	A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
Answer» A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Discussion

12320.	Verify Euler's formula for the following three dimentional figures:
Answer» Verify Euler's formula for the following three dimentional figures:

12320.

Verify Euler's formula for the following three dimentional figures:

Answer»

Verify Euler's formula for the following three dimentional figures:

Discussion

12321.	Question 2 (ii)Without doing any calculation, find the numbers which are surely not perfect squares:257
Answer» Question 2 (ii) Without doing any calculation, find the numbers which are surely not perfect squares: 257

Discussion

12322.	In the given figure, OC and OE are the bisector of ∠DOB and ∠AOD respectively. Then find the measure of ∠EOC.
Answer» In the given figure, OC and OE are the bisector of ∠DOB and ∠AOD respectively. Then find the measure of ∠EOC.

Discussion

12323.	A rhombus can be constructed given
Answer» A rhombus can be constructed given

Discussion

12324.	In a rectangle, the ratio of the length to breadth is 5 : 3. The length is 2.5 metres. What is the breadth?
Answer» In a rectangle, the ratio of the length to breadth is 5 : 3. The length is 2.5 metres. What is the breadth?

Discussion

12325.	Question 180ABCD is a parallelogram. Point P and Q are taken on the sides AB and AD, respectively and the parallelogram PRQA is formed. If ∠C=45∘, find ∠R.
Answer» Question 180 ABCD is a parallelogram. Point P and Q are taken on the sides AB and AD, respectively and the parallelogram PRQA is formed. If $∠ C = 45^{\circ}$ , find $∠ R$ .

Discussion

12326.	Draw the net diagram of a cube?
Answer» Draw the net diagram of a cube?

Discussion

12327.	Which of the following sets of rational numbers lie between −7 and 3?
Answer» Which of the following sets of rational numbers lie between $- 7$ and $3$ ?

Discussion

12328.	A hostel has a week's ration for 180 students. For how many days will the ration last, if 30 more students join the hostel?6
Answer» A hostel has a week's ration for 180 students. For how many days will the ration last, if 30 more students join the hostel? 6

Discussion

12329.	If we check the divisibilty by first 20 natural numbers, by which number is 129 divisible? 3
Answer» If we check the divisibilty by first 20 natural numbers, by which number is 129 divisible? 3

Discussion

12330.	3m square+24m+36
Answer» 3m square+24m+36

Discussion

12331.	The value of {[4a^2-9b^2]^3+[9b^2-16c^2]^3+[16c^2-4a^2]^3}/[2a-3b]^3+[3b-4c]^3+[4c-2a]^3
Answer» The value of {[4a^2-9b^2]^3+[9b^2-16c^2]^3+[16c^2-4a^2]^3}/[2a-3b]^3+[3b-4c]^3+[4c-2a]^3

Discussion

12332.	A factory produces 39486400 bolts a year. 575 bolts are packed in a carton. How many cartons are required to pack the bolts produced in a year ?
Answer» A factory produces 39486400 bolts a year. 575 bolts are packed in a carton. How many cartons are required to pack the bolts produced in a year ?

Discussion

12333.	Mr. Graze, a farmer, has a rectangular field as shown. The longest possible length inside the field is the smallest prime number. Find the ratio of the area of the field to the square of the perimeter of the field.
Answer» Mr. Graze, a farmer, has a rectangular field as shown. The longest possible length inside the field is the smallest prime number. Find the ratio of the area of the field to the square of the perimeter of the field.

Discussion

12334.	Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?
Answer» Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

Discussion

12335.	Question 110 Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.
Answer» Question 110 Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.

12335.

Question 110 Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.

Answer»

Question 110

Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.

Discussion

12336.	A shopkeeper sells a sweater at a loss of 5 percent. If he had sold it for 260 rupees more he would have made a profit of 15 percent. Calculate the purchase price of the sweater
Answer» A shopkeeper sells a sweater at a loss of 5 percent. If he had sold it for 260 rupees more he would have made a profit of 15 percent. Calculate the purchase price of the sweater

Discussion

12337.	Simplify. (i) (a2 − b2)2 (ii) (2x +5)2 − (2x − 5)2 (iii) (7m − 8n)2 + (7m + 8n)2 (iv) (4m + 5n)2 + (5m + 4n)2 (v) (2.5p − 1.5q)2 − (1.5p − 2.5q)2 (vi) (ab + bc)2 − 2ab2c (vii) (m2 − n2m)2 + 2m3n2
Answer» Simplify. (i) (a² − b²)²(ii) (2x +5)² − (2x − 5)² (iii) (7m − 8n)² + (7m + 8n)² (iv) (4m + 5n)² + (5m + 4n)² (v) (2.5p − 1.5q)² − (1.5p − 2.5q)² (vi) (ab + bc)² − 2ab²c (vii) (m² − n²m)² + 2m³n²

12337.

Simplify. (i) (a2 − b2)2 (ii) (2x +5)2 − (2x − 5)2 (iii) (7m − 8n)2 + (7m + 8n)2 (iv) (4m + 5n)2 + (5m + 4n)2 (v) (2.5p − 1.5q)2 − (1.5p − 2.5q)2 (vi) (ab + bc)2 − 2ab2c (vii) (m2 − n2m)2 + 2m3n2

Answer»

Simplify.

(i) (a²
− b²)²(ii) (2x +5)²
− (2x − 5)²

(iii) (7m −
8n)² + (7m + 8n)²
(iv) (4m + 5n)² + (5m + 4n)²

(v) (2.5p −
1.5q)² − (1.5p − 2.5q)²

(vi) (ab + bc)²
− 2ab²c (vii) (m² −
n²m)² + 2m³n²

Discussion

12338.	Which of the given objects are polyhedrons?
Answer» Which of the given objects are polyhedrons?

Discussion

12339.	AB and DC are parallel to each other A and D is the ratio of 4:5 B=(3x-15) degree and C=(4x+20) find each angle of ABCD
Answer» AB and DC are parallel to each other A and D is the ratio of 4:5 B=(3x-15) degree and C=(4x+20) find each angle of ABCD

Discussion

12340.	(2xy+3y2)(3y2−2)
Answer» $(2 x y + 3 y^{2}) (3 y^{2} - 2)$

Discussion

12341.	What will happen to the volume of a cube, if its edge is (i) halved (ii) trebled?
Answer» What will happen to the volume of a cube, if its edge is (i) halved (ii) trebled?

Discussion

12342.	The table below contains different sports and the number of people who likes it. If a person likes football, he makes an entry in the table as football and so on. SportsNumber of EntriesFootball10Badminton11VolleyBall15Cricket25BasketBall20 What is the frequency of the sport volleyball in the table?
Answer» The table below contains different sports and the number of people who likes it. If a person likes football, he makes an entry in the table as football and so on. $\begin{matrix} S p o r t s & N u m b e r o f E n t r i e s F o o t b a l l & 10 B a d m i n t o n & 11 V o l l e y B a l l & 15 C r i c k e t & 25 B a s k e t B a l l & 20 \end{matrix}$ What is the frequency of the sport volleyball in the table?

Discussion

12343.	When a monomial is completely factorized, what is the possible degree of each factor?
Answer» When a monomial is completely factorized, what is the possible degree of each factor?

Discussion

12344.	Express the following numbers in index form.(i) Fifth root of 32(ii) Eighth root of 8(iii) Cube root of 512
Answer» Express the following numbers in index form. (i) Fifth root of 32 (ii) Eighth root of 8 (iii) Cube root of 512

Discussion

12345.	Find and correct the errors in the statement: (3x + 2)2 = 3x2 + 6x + 4
Answer» Find and correct the errors in the statement: (3x + 2)² = 3x² + 6x + 4

Discussion

12346.	Question 44The multiplicative inverse of 43 is ___
Answer» Question 44 The multiplicative inverse of $\frac{4}{3}$ is ___

Discussion

12347.	State two smaller unit of volume how are they interrelated to the SI unit ?
Answer» State two smaller unit of volume how are they interrelated to the SI unit ?

Discussion

12348.	Find all digits x, y such that is divisible by 36.
Answer» Find all digits x, y such that is divisible by 36.

Discussion

12349.	If (a3)4=(a6)b, the value b is .
Answer» If $(a^{3})^{4} = (a^{6})^{b},$ the value $b$ is .

Discussion

12350.	Find the surface area of the given below figure having dimension in cm as shown.
Answer» Find the surface area of the given below figure having dimension in cm as shown.

12350.

Find the surface area of the given below figure having dimension in cm as shown.

Answer»

Find the surface area of the given below figure having dimension in cm as shown.

Discussion

Explore topic-wise InterviewSolutions in .

How many 4 digits number less than 7000 can be formed using the digits 0,5,7,1,2,6,8?

Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.

Question 124 Work out the surface area of the following shape.

Find the multiplicative inverse of (−7)−2÷(90)−1.

A circular park of radius 6 cm has a path all around its perimeter. If the width of the path is 7 cm, then the area of the path is

33.5g of unknown gas has pressure P at temperature T K in a vessel. On increasing the temperature by 50℃ , 1g of the gas was given out to maintain the pressure P. The original temperature was:

In the given frequency distribution, median term(s) is/are ______.Age in yearsNumber of people15316817101810195204

The diagonal of a rectangle is 65 centimetres long and one of its sides is 63 centimeres long. What is the length of the other side?

What is the order of rotational symmetry of this octagon? 4

Question 97 A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %

If xi are the mid-points of the class intervals of grouped data, fi are the corresponding frequencies and ¯x is the mean, then ∑fi(xi−¯x) is equal to ____.

Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.

Which of the following is the probability of getting an even number by throwing a dice?

The number lies between 100000 and 110000 is exactly divisible by 8,15,21,

15. A man has 50 paise and 25 paise coins worth rupee 5 . The value of the 50 paise coins is equal to that of the 25 paise coins . How many coins of each has he

Which property is used to construct a rectangle given one diagonal and angle between diagonals?

What are the common factors of ​3x3y, 5xy2 and 15xy ?

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Verify Euler's formula for the following three dimentional figures:

Question 2 (ii)Without doing any calculation, find the numbers which are surely not perfect squares:257

In the given figure, OC and OE are the bisector of ∠DOB and ∠AOD respectively. Then find the measure of ∠EOC.

A rhombus can be constructed given

In a rectangle, the ratio of the length to breadth is 5 : 3. The length is 2.5 metres. What is the breadth?

Question 180ABCD is a parallelogram. Point P and Q are taken on the sides AB and AD, respectively and the parallelogram PRQA is formed. If ∠C=45∘, find ∠R.

Draw the net diagram of a cube?

Which of the following sets of rational numbers lie between −7 and 3?

A hostel has a week's ration for 180 students. For how many days will the ration last, if 30 more students join the hostel?6

If we check the divisibilty by first 20 natural numbers, by which number is 129 divisible? 3

3m square+24m+36

The value of {[4a^2-9b^2]^3+[9b^2-16c^2]^3+[16c^2-4a^2]^3}/[2a-3b]^3+[3b-4c]^3+[4c-2a]^3

A factory produces 39486400 bolts a year. 575 bolts are packed in a carton. How many cartons are required to pack the bolts produced in a year ?

Mr. Graze, a farmer, has a rectangular field as shown. The longest possible length inside the field is the smallest prime number. Find the ratio of the area of the field to the square of the perimeter of the field.

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

Question 110 Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.

A shopkeeper sells a sweater at a loss of 5 percent. If he had sold it for 260 rupees more he would have made a profit of 15 percent. Calculate the purchase price of the sweater

Simplify. (i) (a2 − b2)2 (ii) (2x +5)2 − (2x − 5)2 (iii) (7m − 8n)2 + (7m + 8n)2 (iv) (4m + 5n)2 + (5m + 4n)2 (v) (2.5p − 1.5q)2 − (1.5p − 2.5q)2 (vi) (ab + bc)2 − 2ab2c (vii) (m2 − n2m)2 + 2m3n2

Which of the given objects are polyhedrons?

AB and DC are parallel to each other A and D is the ratio of 4:5 B=(3x-15) degree and C=(4x+20) find each angle of ABCD

(2xy+3y2)(3y2−2)

What will happen to the volume of a cube, if its edge is (i) halved (ii) trebled?

When a monomial is completely factorized, what is the possible degree of each factor?

Express the following numbers in index form.(i) Fifth root of 32(ii) Eighth root of 8(iii) Cube root of 512

Find and correct the errors in the statement: (3x + 2)2 = 3x2 + 6x + 4

Question 44The multiplicative inverse of 43 is ___

State two smaller unit of volume how are they interrelated to the SI unit ?

Find all digits x, y such that is divisible by 36.

If (a3)4=(a6)b, the value b is .

Find the surface area of the given below figure having dimension in cm as shown.

What are the common factors of 3x3y, 5xy2 and 15xy ?