19743 + Interview Questions in Mathematics Page 167 InterviewSolution

8301.	The number of line segments in the given figure is ___.
Answer» The number of line segments in the given figure is ___.

Discussion

8302.	Question 4(i)Give expressions for the following cases.7 added to p.
Answer» Question 4(i) Give expressions for the following cases. 7 added to p.

8302.

Question 4(i)Give expressions for the following cases.7 added to p.

Answer»

Question 4(i)

Give expressions for the following cases.

7 added to p.

Discussion

8303.	Identify the countable noun in the sentence. He is still coming to terms with the failure of his brokerage company.
Answer» Identify the countable noun in the sentence. He is still coming to terms with the failure of his brokerage company.

8303.

Identify the countable noun in the sentence. He is still coming to terms with the failure of his brokerage company.

Answer»

Identify the countable noun in the sentence.

He is still coming to terms with the failure of his brokerage company.

Discussion

8304.	The smallest number that is divisible by both 36 and 45 is
Answer» The smallest number that is divisible by both 36 and 45 is

Discussion

8305.	21. If the mth term of an A.P. is 1/n and the nth term is 1/m, then prove that the sum of first mn terms is 1/2(mn+1)
Answer» 21. If the mth term of an A.P. is 1/n and the nth term is 1/m, then prove that the sum of first mn terms is 1/2(mn+1)

Discussion

8306.	If the side of a square is 8a cm, what is its area?
Answer» If the side of a square is 8a cm, what is its area?

Discussion

8307.	What will be the unit digit of the square of 91?
Answer» What will be the unit digit of the square of 91?

Discussion

8308.	ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = ∠A.
Answer» ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = ∠A.

Discussion

8309.	Arrange the following integers in ascending order and represent them on the number line: 2, 5, (-1), (-4), (-5) [2 MARKS]
Answer» Arrange the following integers in ascending order and represent them on the number line: 2, 5, (-1), (-4), (-5) [2 MARKS]

Discussion

8310.	show how to find points d and e on the side AB,BC of triagle ABC such that DE\|\|BC and de=bd
Answer» show how to find points d and e on the side AB,BC of triagle ABC such that DE\|\|BC and de=bd

Discussion

8311.	Question 2Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 23 of the corresponding sides of the first triangle.
Answer» Question 2 Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are $\frac{2}{3}$ of the corresponding sides of the first triangle.

Discussion

8312.	Find the square root of 9216 using the long division method.96
Answer» Find the square root of $9216$ using the long division method. 96

Discussion

8313.	If an angle of a right-angled triangle is 400, find the other acute angle.
Answer» If an angle of a right-angled triangle is $40^{0}$ , find the other acute angle.

Discussion

8314.	Which of the following information are needed to draw a unique ΔABC?
Answer» Which of the following information are needed to draw a unique $Δ$ ABC?

8314.

Which of the following information are needed to draw a unique ΔABC?

Answer»

Which of the following information are needed to draw a unique $Δ$ ABC?

Discussion

8315.	The length of a square field is 0.5 hectare. The length of its diagonal is(a) 150 m(b) 1002(c) 100 m(d) 502m
Answer» The length of a square field is 0.5 hectare. The length of its diagonal is (a) 150 m (b) $100 \sqrt{2}$ (c) 100 m (d) $50 \sqrt{2} m$

Discussion

8316.	Simplify:14+151−38×35
Answer» Simplify: $\frac{\frac{1}{4} + \frac{1}{5}}{1 - \frac{3}{8} \times \frac{3}{5}}$

8316.

Simplify:14+151−38×35

Answer»

Simplify:

$\frac{\frac{1}{4} + \frac{1}{5}}{1 - \frac{3}{8} \times \frac{3}{5}}$

Discussion

8317.	20×19+(−5)×7= ?
Answer» $20 \times 19 + (- 5) \times 7 = ?$

Discussion

8318.	Karan spends ₹ 5000 on food which is 58th of his income. Karan's income is ___ (in rupess).
Answer» Karan spends ₹ 5000 on food which is $\frac{5}{8}$ th of his income. Karan's income is ___ (in rupess).

Discussion

8319.	Answer True/False.The number of lines that can be drawn through a point is a variable.
Answer» Answer True/False. The number of lines that can be drawn through a point is a variable.

8319.

Answer True/False.The number of lines that can be drawn through a point is a variable.

Answer»

Answer True/False.

The number of lines that can be drawn through a point is a variable.

Discussion

8320.	Solve for a: 3×12+6a+2=29
Answer» $Solve for a:$ $3 \times 1^{2} + 6 a + 2 = 29$

Discussion

8321.	Find the value of the unknowns x and y in the following diagrams:
Answer» Find the value of the unknowns $x$ and $y$ in the following diagrams:

8321.

Find the value of the unknowns x and y in the following diagrams:

Answer»

Find the value of the unknowns $x$ and $y$ in the following diagrams:

Discussion

8322.	For the given isosceles triangle find the angle ∠B.
Answer» For the given isosceles triangle find the angle $∠ B .$

Discussion

8323.	Mark the correct alternative in the following question:If a : b = 3 : 4, then 4a : 3b =(a) 4 : 3 (b) 3 : 4 (c) 1 : 1 (d) None of these
Answer» Mark the correct alternative in the following question: If a : b = 3 : 4, then 4a : 3b = (a) 4 : 3 (b) 3 : 4 (c) 1 : 1 (d) None of these

Discussion

8324.	41. Integrate \|x-3\|dx from range -4 to 4
Answer» 41. Integrate \|x-3\|dx from range -4 to 4

Discussion

8325.	The value of 4590×1802=.
Answer» $The value of \frac{45}{90} \times \frac{180}{2} =$ .

Discussion

8326.	Three squares of identical side lengths are combined to form a large square of area 192 sq. cm. Determine the side length of the smaller squares.
Answer» Three squares of identical side lengths are combined to form a large square of area 192 sq. cm. Determine the side length of the smaller squares.

Discussion

8327.	29. Integration f (x3 - 1)1/3 x*5
Answer» 29. Integration f (x3 - 1)1/3 x*5

Discussion

8328.	In the adjoining figure, identify(i) The pairs of corresponding angles(ii) The pairs of alternate interior angles(iii) The pairs of interior angles on the same side of the transversal(iv) The vertically opposite angles
Answer» In the adjoining figure, identify (i) The pairs of corresponding angles (ii) The pairs of alternate interior angles (iii) The pairs of interior angles on the same side of the transversal (iv) The vertically opposite angles

8328.

In the adjoining figure, identify(i) The pairs of corresponding angles(ii) The pairs of alternate interior angles(iii) The pairs of interior angles on the same side of the transversal(iv) The vertically opposite angles

Answer»

In the adjoining figure, identify

(i) The pairs of corresponding angles

(ii) The pairs of alternate interior angles

(iii) The pairs of interior angles on the same side of the transversal

(iv) The vertically opposite angles

Discussion

8329.	There are four points A,B,C,D on the plane, such that any three points are not collinear. Prove that in triangles ABC, ABD, ACD, BCD there is at least one triangle which has an interior angle not greater than 45 degree.
Answer» There are four points A,B,C,D on the plane, such that any three points are not collinear. Prove that in triangles ABC, ABD, ACD, BCD there is at least one triangle which has an interior angle not greater than 45 degree.

Discussion

8330.	63.Two numbers are in the ratio 5:6.If 8 is subtracted from each of the numbers, the ratio becomes 4:5.find the Numbers.
Answer» 63.Two numbers are in the ratio 5:6.If 8 is subtracted from each of the numbers, the ratio becomes 4:5.find the Numbers.

Discussion

8331.	milkman mood middle refused policeman grocer wrestler ice-cream prayed
Answer» milkman mood middle refused policeman grocer wrestler ice-cream prayed

Discussion

8332.	How are triangles classified on the basis of their angles? Define each of them.
Answer» How are triangles classified on the basis of their angles? Define each of them.

Discussion

8333.	A purse contains four $5 bills, five $10 bills and three $20 bills. Two bills are selected without the first selection being replaced, find probability of getting both $5 bills.
Answer» A purse contains four $$$ 5 bills, five $$$ 10 bills and three $$$ 20 bills. Two bills are selected without the first selection being replaced, find probability of getting both $$ 5$ bills.

Discussion

8334.	(a) In the figure shown below, what are the conditions on ∠NOB and ∠MPC that assure that line segment AB is parallel to the line segment CD? [2 MARKS] (b) Given line 'm' is parallel to line 'l'. Find x?
Answer» (a) In the figure shown below, what are the conditions on $∠ N O B$ and $∠ M P C$ that assure that line segment AB is parallel to the line segment CD? [2 MARKS] (b) Given line 'm' is parallel to line 'l'. Find x?

8334.

(a) In the figure shown below, what are the conditions on ∠NOB and ∠MPC that assure that line segment AB is parallel to the line segment CD? [2 MARKS] (b) Given line 'm' is parallel to line 'l'. Find x?

Answer»

(a) In the figure shown below, what are the conditions on $∠ N O B$ and $∠ M P C$ that assure that line segment AB is parallel to the line segment CD? [2 MARKS]

(b)

Given line 'm' is parallel to line 'l'. Find x?

Discussion

8335.	Which of the following net diagrams can be used for the cube shown below?
Answer» Which of the following net diagrams can be used for the cube shown below?

8335.

Which of the following net diagrams can be used for the cube shown below?

Answer»

Which of the following net diagrams can be used for the cube shown below?

Discussion

8336.	Question 19(ii)Two dice are thrown at the same time. Find the probability of getting different number on both dice.
Answer» Question 19(ii) Two dice are thrown at the same time. Find the probability of getting different number on both dice.

Discussion

8337.	Find the missing values:
Answer» Find the missing values:

Discussion

8338.	Krishna went to the market with Rs.1000. She bought a saree for Rs.307, a pair of shoes for Rs.165 and a shawl for Rs.275. How much money is left with her? Round it off to the nearest hundred.
Answer» Krishna went to the market with Rs.1000. She bought a saree for Rs.307, a pair of shoes for Rs.165 and a shawl for Rs.275. How much money is left with her? Round it off to the nearest hundred.

Discussion

8339.	Simplify: (i) (− 4)3 (ii) (− 3) × (− 2)3 (iii) (− 3)2 × (− 5)2 (iv)(− 2)3 × (−10)3
Answer» Simplify: (i) (− 4)³ (ii) (− 3) × (− 2)³ (iii) (− 3)² × (− 5)² (iv)(− 2)³ × (−10)³

8339.

Simplify: (i) (− 4)3 (ii) (− 3) × (− 2)3 (iii) (− 3)2 × (− 5)2 (iv)(− 2)3 × (−10)3

Answer»

Simplify:

(i) (−
4)³ (ii) (− 3) ×
(− 2)³

(iii) (−
3)² × (−
5)² (iv)(− 2)³ ×
(−10)³

Discussion

8340.	△ABC is right angled at A. If AB = 12 cm and AC = 16 cm, then BC = ____________ cm.
Answer» $△$ ABC is right angled at A. If AB = 12 cm and AC = 16 cm, then BC = ____________ cm.

Discussion

8341.	Question 32State whether the given statements are true (T) or false (F).A ratio can be equal to 1.
Answer» Question 32 State whether the given statements are true (T) or false (F). A ratio can be equal to 1.

8341.

Question 32State whether the given statements are true (T) or false (F).A ratio can be equal to 1.

Answer»

Question 32

State whether the given statements are true (T) or false (F).

A ratio can be equal to 1.

Discussion

8342.	Convert Tree diagrams into Algebraic expressions.
Answer» Convert Tree diagrams into Algebraic expressions.

Discussion

8343.	Choose the correct repersentation of 8125 on a number line.
Answer» Choose the correct repersentation of $8 \frac{1}{25}$ on a number line.

Discussion

8344.	Find the area of the rectangle whose length is 3 cm and breadth is 2 cm.
Answer» Find the area of the rectangle whose length is 3 cm and breadth is 2 cm.

Discussion

8345.	A linear equation is given which says 4m+5=25. To balance this, which numbers should be added in the blanks respectively?4m+5+___=25+___
Answer» A linear equation is given which says $4 m + 5 = 25$ . To balance this, which numbers should be added in the blanks respectively? $4 m + 5 +___= 25 +___$

Discussion

8346.	Question 84 State whether the statement is True or False. The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.
Answer» Question 84 State whether the statement is True or False. The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

Discussion

8347.	The first step that we will use to separate variable in the linear equation 15x = 11 is
Answer» The first step that we will use to separate variable in the linear equation 15x = 11 is

Discussion

8348.	Question 7If a% is the discount per cent on marked price x, then discount is(a) xa×100(b) ax×100(c) x×a100(d) 100xa
Answer» Question 7 If a% is the discount per cent on marked price x, then discount is (a) $\frac{x}{a} \times 100$ (b) $\frac{a}{x} \times 100$ (c) $x \times \frac{a}{100}$ (d) $\frac{100}{x a}$

8348.

Question 7If a% is the discount per cent on marked price x, then discount is(a) xa×100(b) ax×100(c) x×a100(d) 100xa

Answer»

Question 7

If a% is the discount per cent on marked price x, then discount is

(a) $\frac{x}{a} \times 100$

(b) $\frac{a}{x} \times 100$

(c) $x \times \frac{a}{100}$

(d) $\frac{100}{x a}$

Discussion

8349.	What must be subtracted from 1729 to get a perfect square?
Answer» What must be subtracted from 1729 to get a perfect square?

Discussion

8350.	Solve the following.In a train, 15% of the people travel in air-conditioned compartments and 35% travel in I class compartments. The remaining people travel in II class compartments. Find the percentage of people travelling in II Class compartments.
Answer» Solve the following. In a train, 15% of the people travel in air-conditioned compartments and 35% travel in I class compartments. The remaining people travel in II class compartments. Find the percentage of people travelling in II Class compartments.

8350.

Solve the following.In a train, 15% of the people travel in air-conditioned compartments and 35% travel in I class compartments. The remaining people travel in II class compartments. Find the percentage of people travelling in II Class compartments.

Answer»

Solve the following.

In a train, 15% of the people travel in air-conditioned compartments and 35% travel in I class compartments. The remaining people travel in II class compartments. Find the percentage of people travelling in II Class compartments.

Discussion

Explore topic-wise InterviewSolutions in .

The number of line segments in the given figure is ___.

Question 4(i)Give expressions for the following cases.7 added to p.

Identify the countable noun in the sentence. He is still coming to terms with the failure of his brokerage company.

The smallest number that is divisible by both 36 and 45 is

21. If the mth term of an A.P. is 1/n and the nth term is 1/m, then prove that the sum of first mn terms is 1/2(mn+1)

If the side of a square is 8a cm, what is its area?

What will be the unit digit of the square of 91?

ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = ∠A.

Arrange the following integers in ascending order and represent them on the number line: 2, 5, (-1), (-4), (-5) [2 MARKS]

show how to find points d and e on the side AB,BC of triagle ABC such that DE||BC and de=bd

Question 2Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 23 of the corresponding sides of the first triangle.

Find the square root of 9216 using the long division method.96

If an angle of a right-angled triangle is 400, find the other acute angle.

Which of the following information are needed to draw a unique ΔABC?

The length of a square field is 0.5 hectare. The length of its diagonal is(a) 150 m(b) 1002(c) 100 m(d) 502m

Simplify:14+151−38×35

20×19+(−5)×7= ?

Karan spends ₹ 5000 on food which is 58th of his income. Karan's income is ___ (in rupess).

Answer True/False.The number of lines that can be drawn through a point is a variable.

Solve for a: 3×12+6a+2=29

Find the value of the unknowns x and y in the following diagrams:

For the given isosceles triangle find the angle ∠B.

Mark the correct alternative in the following question:If a : b = 3 : 4, then 4a : 3b =(a) 4 : 3 (b) 3 : 4 (c) 1 : 1 (d) None of these

41. Integrate |x-3|dx from range -4 to 4

The value of 4590×1802=.

Three squares of identical side lengths are combined to form a large square of area 192 sq. cm. Determine the side length of the smaller squares.

29. Integration f (x*3 - 1)*1/3 x*5

In the adjoining figure, identify(i) The pairs of corresponding angles(ii) The pairs of alternate interior angles(iii) The pairs of interior angles on the same side of the transversal(iv) The vertically opposite angles

There are four points A,B,C,D on the plane, such that any three points are not collinear. Prove that in triangles ABC, ABD, ACD, BCD there is at least one triangle which has an interior angle not greater than 45 degree.

63.Two numbers are in the ratio 5:6.If 8 is subtracted from each of the numbers, the ratio becomes 4:5.find the Numbers.

milkman mood middle refused policeman grocer wrestler ice-cream prayed

How are triangles classified on the basis of their angles? Define each of them.

A purse contains four $5 bills, five $10 bills and three $20 bills. Two bills are selected without the first selection being replaced, find probability of getting both $5 bills.

(a) In the figure shown below, what are the conditions on ∠NOB and ∠MPC that assure that line segment AB is parallel to the line segment CD? [2 MARKS] (b) Given line 'm' is parallel to line 'l'. Find x?

Which of the following net diagrams can be used for the cube shown below?

Question 19(ii)Two dice are thrown at the same time. Find the probability of getting different number on both dice.

Find the missing values:

Krishna went to the market with Rs.1000. She bought a saree for Rs.307, a pair of shoes for Rs.165 and a shawl for Rs.275. How much money is left with her? Round it off to the nearest hundred.

Simplify: (i) (− 4)3 (ii) (− 3) × (− 2)3 (iii) (− 3)2 × (− 5)2 (iv)(− 2)3 × (−10)3

△ABC is right angled at A. If AB = 12 cm and AC = 16 cm, then BC = ____________ cm.

Question 32State whether the given statements are true (T) or false (F).A ratio can be equal to 1.

Convert Tree diagrams into Algebraic expressions.

Choose the correct repersentation of 8125 on a number line.

Find the area of the rectangle whose length is 3 cm and breadth is 2 cm.

A linear equation is given which says 4m+5=25. To balance this, which numbers should be added in the blanks respectively?4m+5+___=25+___

Question 84 State whether the statement is True or False. The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

The first step that we will use to separate variable in the linear equation 15x = 11 is

Question 7If a% is the discount per cent on marked price x, then discount is(a) xa×100(b) ax×100(c) x×a100(d) 100xa

What must be subtracted from 1729 to get a perfect square?

Solve the following.In a train, 15% of the people travel in air-conditioned compartments and 35% travel in I class compartments. The remaining people travel in II class compartments. Find the percentage of people travelling in II Class compartments.

29. Integration f (x3 - 1)1/3 x*5

A linear equation is given which says 4m+5=25. To balance this, which numbers should be added in the blanks respectively?4m+5+_=25+_