19743 + Interview Questions in Mathematics Page 136 InterviewSolution

6751.	Question 77Solve the following:3(5x-7)+2(9x-11)=4(8x-7)-111
Answer» Question 77 Solve the following: 3(5x-7)+2(9x-11)=4(8x-7)-111

6751.

Question 77Solve the following:3(5x-7)+2(9x-11)=4(8x-7)-111

Answer»

Question 77

Solve the following:

3(5x-7)+2(9x-11)=4(8x-7)-111

6752.	A sum of Rs 56000 gives Rs 280 as interest in 2 years. Find the rate of interest. [4 MARKS]
Answer» A sum of Rs 56000 gives Rs 280 as interest in 2 years. Find the rate of interest. [4 MARKS]

Discussion

6753.	A car travels first half of a certain distance with uniform speed of 20 km/h and travels second half distance in two equal time interval with uniform speed 25 km/ h and 35km/h respectively . Find the average speed of car for entire journey
Answer» A car travels first half of a certain distance with uniform speed of 20 km/h and travels second half distance in two equal time interval with uniform speed 25 km/ h and 35km/h respectively . Find the average speed of car for entire journey

Discussion

6754.	What is pie?
Answer» What is pie?

Discussion

6755.	Question 84(i) Observe the given data: Draw a bar graph to represent the above given information.
Answer» Question 84(i) Observe the given data: Draw a bar graph to represent the above given information.

Discussion

6756.	If a − b = −8 and ab = −12, then a3 − b3 =(a) −244(b) −240(c) −224(d) −260
Answer» If a − b = −8 and ab = −12, then a³ − b³ = (a) −244 (b) −240 (c) −224 (d) −260

Discussion

6757.	Find the missing model in the given pattern:
Answer» Find the missing model in the given pattern:

Discussion

6758.	A car moving on a straight road covers one third of thedistance with 20 km/hr and the rest with 60 km/hr. Theaverage speed is(a) 40 km/hr(b) 80 km/hr(c)46km/hr(d) 36 km/hr
Answer» A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is (a) 40 km/hr (b) 80 km/hr (c)46km/hr (d) 36 km/hr

Discussion

6759.	Question 56The multiplicative inverse of −35 is 53
Answer» Question 56 The multiplicative inverse of $\frac{- 3}{5}$ is $\frac{5}{3}$

Discussion

6760.	A page of a calendar is 45 cm long and 26 cm wide. What is its area ?
Answer» A page of a calendar is 45 cm long and 26 cm wide. What is its area ?

Discussion

6761.	What is the value of 35×4 +35×8 =420
Answer» What is the value of $35 \times 4 + 35 \times 8$ = 420

Discussion

6762.	When is a figure said to have a line symmetry?
Answer» When is a figure said to have a line symmetry?

Discussion

6763.	If ab= 73 then find the values of the following ratios.(i) 5a + 3b5a - 3b (ii) 2a2 + 3b22a2 - 3b2 (iii) a3 - b3b3 (iv) 7a + 9b7a - 9b
Answer» If $\frac{a}{b} = \frac{7}{3}$ then find the values of the following ratios. (i) $\frac{5 a + 3 b}{5 a - 3 b}$ (ii) $\frac{2 a^{2} + 3 b^{2}}{2 a^{2} - 3 b^{2}}$ (iii) $\frac{a^{3} - b^{3}}{b^{3}}$ (iv) $\frac{7 a + 9 b}{7 a - 9 b}$

Discussion

6764.	represent \sqrt6 on the number lin
Answer» represent \sqrt6 on the number lin

Discussion

6765.	The following graph shows the number of boys of a class in different age groups:Is it possible to find the total number of boys in the age group 0 - 10 years?Answer in Yes/No.
Answer» The following graph shows the number of boys of a class in different age groups: Is it possible to find the total number of boys in the age group 0 - 10 years?Answer in Yes/No.

Discussion

6766.	Question 67 (x)Look at the shape given below and state if it is a polyhedron using Euler's formula.
Answer» Question 67 (x) Look at the shape given below and state if it is a polyhedron using Euler's formula.

Discussion

6767.	Question 101Select those which can be written as a rational number with denominator 4 in their lowest form78,6416,36−12,−1617,5−4,14028
Answer» Question 101 Select those which can be written as a rational number with denominator 4 in their lowest form $\frac{7}{8}, \frac{64}{16}, \frac{36}{- 12}, \frac{- 16}{17}, \frac{5}{- 4}, \frac{140}{28}$

Discussion

6768.	A teacher has 1534 cubes in a box. If she distributes 1415 cubes to students, then the number of cubes left in the box is .
Answer» A teacher has $15 \frac{3}{4}$ cubes in a box. If she distributes $14 \frac{1}{5}$ cubes to students, then the number of cubes left in the box is .

Discussion

6769.	Find the rate of discount.Marked price = Rs. 120; Selling price = Rs. 102
Answer» Find the rate of discount. Marked price = Rs. 120; Selling price = Rs. 102

6769.

Find the rate of discount.Marked price = Rs. 120; Selling price = Rs. 102

Answer»

Find the rate of discount.

Marked price = Rs. 120; Selling price = Rs. 102

Discussion

6770.	What is the square root of 36?
Answer» What is the square root of 36?

Discussion

6771.	Question 71 (iv)It is given that l varies directly as m.Find m, when l is 8.
Answer» Question 71 (iv) It is given that l varies directly as m. Find m, when l is 8.

6771.

Question 71 (iv)It is given that l varies directly as m.Find m, when l is 8.

Answer»

Question 71 (iv)

It is given that l varies directly as m.

Find m, when l is 8.

Discussion

6772.	Three people A B and C are standing in a queue. There are 5 people between A and B and 8 people between B and C and 8 people between B and C. If there be 3 people ahead of C and 21 people behind A, what could be the minimum number of people in the queue?
Answer» Three people A B and C are standing in a queue. There are 5 people between A and B and 8 people between B and C and 8 people between B and C. If there be 3 people ahead of C and 21 people behind A, what could be the minimum number of people in the queue?

Discussion

6773.	The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?
Answer» The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?

6773.

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?

Answer»

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?

Discussion

6774.	In which of these situations is a double bar graph useful?(i) Enrolment of students in class VII in 2009 and 2010(ii) Marks obtained in term I and term II examinations(iii) Marks obtained in all subjects of a term examination.
Answer» In which of these situations is a double bar graph useful? (i) Enrolment of students in class VII in 2009 and 2010 (ii) Marks obtained in term I and term II examinations (iii) Marks obtained in all subjects of a term examination.

Discussion

6775.	If ₹ 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?
Answer» If ₹ 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?

Discussion

6776.	Question 107Solve the following question:Find the least number of four digits that is a perfect square.
Answer» Question 107 Solve the following question: Find the least number of four digits that is a perfect square.

6776.

Question 107Solve the following question:Find the least number of four digits that is a perfect square.

Answer»

Question 107

Solve the following question:

Find the least number of four digits that is a perfect square.

Discussion

6777.	If x% of 2000 = 600, then x =(a) 60(b) 30(c) 40(d) 50
Answer» If x% of 2000 = 600, then x = (a) 60 (b) 30 (c) 40 (d) 50

Discussion

6778.	Total volume occupied by a mixture containing 1 equivalent each of N2, H2 and NH3 based on the following equation at STP is N2(g)+3H2(g)→2NH3(g) is:
Answer» Total volume occupied by a mixture containing 1 equivalent each of $N_{2}$ , $H_{2}$ and $N H_{3}$ based on the following equation at STP is $N_{2} (g) + 3 H_{2} (g) \to 2 N H_{3} (g)$ is:

Discussion

6779.	In the square carpet given below, find the area of the orange region.
Answer» In the square carpet given below, find the area of the orange region.

6779.

In the square carpet given below, find the area of the orange region.

Answer»

In the square carpet given below, find the area of the orange region.

Discussion

6780.	Simplify and write the answer in exponential form: 624÷69
Answer» Simplify and write the answer in exponential form: $6^{24} \div 6^{9}$

Discussion

6781.	Question 105If 53x−1÷25=125, then find the value of x .
Answer» Question 105 If $5^{3 x - 1} \div 25 = 125$ , then find the value of x .

6781.

Question 105If 53x−1÷25=125, then find the value of x .

Answer»

Question 105

If $5^{3 x - 1} \div 25 = 125$ , then find the value of x .

Discussion

6782.

The marks distribution of students in a class is as follows: Marks Number of Students 80 - 100 5 60 - 80 20 40 - 60 10 0 - 40 3 Is it possible to plot bar graph using the given data? Answer in Yes/No.

Answer» The marks distribution of students in a class is as follows:

Marks
Number of Students

80 - 100	5
60 - 80	20
40 - 60	10
0 - 40	3

Is it possible to plot bar graph using the given data? Answer in Yes/No.

Discussion

6783.	Question 11The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is(a) 5%(b) 95%(c) 10%(d) approx 11 %
Answer» Question 11 The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is (a) 5% (b) 95% (c) 10% (d) approx 11 %

6783.

Question 11The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is(a) 5%(b) 95%(c) 10%(d) approx 11 %

Answer»

Question 11

The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is

(a) 5%

(b) 95%

(c) 10%

(d) approx 11 %

Discussion

6784.	How many red kings are present in a standard deck of playing cards?
Answer» How many red kings are present in a standard deck of playing cards?

Discussion

6785.	Question 11 Listed below are the temperatures in ∘C for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data? (a) 8°C (b) 13°C (c) 10°C (d) 12°C
Answer» Question 11 Listed below are the temperatures in $^{\circ} C$ for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data? (a) 8°C (b) 13°C (c) 10°C (d) 12°C

6785.

Question 11 Listed below are the temperatures in ∘C for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data? (a) 8°C (b) 13°C (c) 10°C (d) 12°C

Answer»

Question 11

Listed below are the temperatures in $^{\circ} C$ for 10 days.
-6, -8, 0, 3, 2, 0, 1, 5, 4, 4
What is the range of the data?

(a) 8°C

(b) 13°C

(c) 10°C

(d) 12°C

Discussion

6786.	17+5p=12 What is the value of x
Answer» 17+5p=12 What is the value of x

Discussion

6787.	The moon is about 384000 km from the earth and it's path around the earth is nearly circular. Find the circumference of the path described by the moon in one complete revolution about the earth (use π=3.14)
Answer» The moon is about $384000 k m$ from the earth and it's path around the earth is nearly circular. Find the circumference of the path described by the moon in one complete revolution about the earth (use $π = 3.14$ )

Discussion

6788.	Which of the following is an example of unlike terms?
Answer» Which of the following is an example of unlike terms?

Discussion

6789.	Which of the following is a monomial?
Answer» Which of the following is a monomial?

Discussion

6790.	Name the constant in the product of (m2 + 4) (m2 + 5)
Answer» Name the constant in the product of (m² + 4) (m² + 5)

Discussion

6791.	Find the measure of the angle obtained by the bisection of angle 45°.
Answer» Find the measure of the angle obtained by the bisection of angle 45°.

Discussion

6792.	If x=13+23, find the value of x-1x.
Answer» If $x = \sqrt{13} + 2 \sqrt{3}$ , find the value of $x - \frac{1}{x}$ .

Discussion

6793.	Solve for x and y : (x^2)+(y^2)=4 and 2/(x^2)- 3/(y^2)= 1
Answer» Solve for x and y : (x^2)+(y^2)=4 and 2/(x^2)- 3/(y^2)= 1

Discussion

6794.	63.he equivalent binary number of decimal number 75.75
Answer» 63.he equivalent binary number of decimal number 75.75

Discussion

6795.	Convert the following statements into equations.(i) 3 added to a number is 11(ii) 2 subtracted from a number is equal to 15.(iii) 3 times a number decreased by 2 is 4.(iv) 2 times the sum of x and 7 is 13
Answer» Convert the following statements into equations. (i) 3 added to a number is 11 (ii) 2 subtracted from a number is equal to 15. (iii) 3 times a number decreased by 2 is 4. (iv) 2 times the sum of x and 7 is 13

Discussion

6796.	Question 1 (ii)A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:(ii)The cost of the sheet for it, if a sheet measuring 1 m2 costs Rs. 20.
Answer» Question 1 (ii) A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (ii)The cost of the sheet for it, if a sheet measuring $1 m^{2}$ costs Rs. 20.

Discussion

6797.	Tally marks are used to keep the record of running count in groups of .
Answer» Tally marks are used to keep the record of running count in groups of .

Discussion

6798.	Charu paid ₹34 for a eraser. Express the amount he paid in decimal form.
Answer» Charu paid $₹ \frac{3}{4}$ for a eraser. Express the amount he paid in decimal form.

Discussion

6799.	que 1) If the functionf(x) = 3ax + b, x 111 , x = 15ax – 2b , x 1is continuous at x = 1.que 2) For what value of k is the functionf(x) = k(x^2 – 2x) , if x smaller than equal to 04x + 1 , if x greater than 0continuous at x = 0.que 3) For what value of k is the functionf(x) = (1-cos4x)/8x^2 , if x not equal to 0k , if x equal to 0continuous at x = 0.que 4) If f(x) is continuous at x = 2,then find the value of kf(x) =( x^3+x^2-16x+20)/ (x-2)^2 , when x not equal to 2k , when x equal to 2
Answer» que 1) If the function f(x) = 3ax + b, x 1 11 , x = 1 5ax – 2b , x 1 is continuous at x = 1. que 2) For what value of k is the function f(x) = k(x^2 – 2x) , if x smaller than equal to 0 4x + 1 , if x greater than 0 continuous at x = 0. que 3) For what value of k is the function f(x) = (1-cos4x)/8x^2 , if x not equal to 0 k , if x equal to 0 continuous at x = 0. que 4) If f(x) is continuous at x = 2,then find the value of k f(x) =( x^3+x^2-16x+20)/ (x-2)^2 , when x not equal to 2 k , when x equal to 2

Discussion

6800.	The average runs scored by Naresh in four matches is 48. In the fifth match, Naresh scores some runs such that his average now becomes 60. In the sixth match, he scores 12 runs more than his fifth match and now the average of his last five matches becomes 78. Then the runs scored in his first match is (He does not remain not out in any of the match)
Answer» The average runs scored by Naresh in four matches is $48$ . In the fifth match, Naresh scores some runs such that his average now becomes $60$ . In the sixth match, he scores $12$ runs more than his fifth match and now the average of his last five matches becomes $78$ . Then the runs scored in his first match is (He does not remain not out in any of the match)

Discussion

Explore topic-wise InterviewSolutions in .

Question 77Solve the following:3(5x-7)+2(9x-11)=4(8x-7)-111

A sum of Rs 56000 gives Rs 280 as interest in 2 years. Find the rate of interest. [4 MARKS]

A car travels first half of a certain distance with uniform speed of 20 km/h and travels second half distance in two equal time interval with uniform speed 25 km/ h and 35km/h respectively . Find the average speed of car for entire journey

What is pie?

Question 84(i) Observe the given data: Draw a bar graph to represent the above given information.

If a − b = −8 and ab = −12, then a3 − b3 =(a) −244(b) −240(c) −224(d) −260

Find the missing model in the given pattern:

A car moving on a straight road covers one third of thedistance with 20 km/hr and the rest with 60 km/hr. Theaverage speed is(a) 40 km/hr(b) 80 km/hr(c)46km/hr(d) 36 km/hr

Question 56The multiplicative inverse of −35 is 53

A page of a calendar is 45 cm long and 26 cm wide. What is its area ?

What is the value of 35×4 +35×8 =420

When is a figure said to have a line symmetry?

If ab= 73 then find the values of the following ratios.(i) 5a + 3b5a - 3b (ii) 2a2 + 3b22a2 - 3b2 (iii) a3 - b3b3 (iv) 7a + 9b7a - 9b

represent \sqrt6 on the number lin

The following graph shows the number of boys of a class in different age groups:Is it possible to find the total number of boys in the age group 0 - 10 years?Answer in Yes/No.

Question 67 (x)Look at the shape given below and state if it is a polyhedron using Euler's formula.

Question 101Select those which can be written as a rational number with denominator 4 in their lowest form78,6416,36−12,−1617,5−4,14028

A teacher has 1534 cubes in a box. If she distributes 1415 cubes to students, then the number of cubes left in the box is .

Find the rate of discount.Marked price = Rs. 120; Selling price = Rs. 102

What is the square root of 36?

Question 71 (iv)It is given that l varies directly as m.Find m, when l is 8.

Three people A B and C are standing in a queue. There are 5 people between A and B and 8 people between B and C and 8 people between B and C. If there be 3 people ahead of C and 21 people behind A, what could be the minimum number of people in the queue?

The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?

In which of these situations is a double bar graph useful?(i) Enrolment of students in class VII in 2009 and 2010(ii) Marks obtained in term I and term II examinations(iii) Marks obtained in all subjects of a term examination.

If ₹ 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?

Question 107Solve the following question:Find the least number of four digits that is a perfect square.

If x% of 2000 = 600, then x =(a) 60(b) 30(c) 40(d) 50

Total volume occupied by a mixture containing 1 equivalent each of N2, H2 and NH3 based on the following equation at STP is N2(g)+3H2(g)→2NH3(g) is:

In the square carpet given below, find the area of the orange region.

Simplify and write the answer in exponential form: 624÷69

Question 105If 53x−1÷25=125, then find the value of x .

The marks distribution of students in a class is as follows: Marks Number of Students 80 - 100 5 60 - 80 20 40 - 60 10 0 - 40 3 Is it possible to plot bar graph using the given data? Answer in Yes/No.

Question 11The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is(a) 5%(b) 95%(c) 10%(d) approx 11 %

How many red kings are present in a standard deck of playing cards?

Question 11 Listed below are the temperatures in ∘C for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data? (a) 8°C (b) 13°C (c) 10°C (d) 12°C

17+5p=12 What is the value of x

The moon is about 384000 km from the earth and it's path around the earth is nearly circular. Find the circumference of the path described by the moon in one complete revolution about the earth (use π=3.14)

Which of the following is an example of unlike terms?

Which of the following is a monomial?

Name the constant in the product of (m2 + 4) (m2 + 5)

Find the measure of the angle obtained by the bisection of angle 45°.

If x=13+23, find the value of x-1x.

Solve for x and y : (x^2)+(y^2)=4 and 2/(x^2)- 3/(y^2)= 1

63.he equivalent binary number of decimal number 75.75

Convert the following statements into equations.(i) 3 added to a number is 11(ii) 2 subtracted from a number is equal to 15.(iii) 3 times a number decreased by 2 is 4.(iv) 2 times the sum of x and 7 is 13

Question 1 (ii)A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:(ii)The cost of the sheet for it, if a sheet measuring 1 m2 costs Rs. 20.

Tally marks are used to keep the record of running count in groups of .

Charu paid ₹34 for a eraser. Express the amount he paid in decimal form.