19743 + Interview Questions in Mathematics Page 155 InterviewSolution

7701.	Which of the following cannot be used to prove the congruency of 2 triangles?
Answer» Which of the following cannot be used to prove the congruency of 2 triangles?

Discussion

7702.	A man is in talks with a painter. He wants to two of his walls painted. The cost of painting is Rs10 per cm2.How much money is required by him to paint a rectangular wall of length 400 cm and breadth 900 cm and a circular wall of diameter 126 cm? [4 MARKS]
Answer» A man is in talks with a painter. He wants to two of his walls painted. The cost of painting is Rs10 per $c m^{2}$ .How much money is required by him to paint a rectangular wall of length 400 cm and breadth 900 cm and a circular wall of diameter 126 cm? [4 MARKS]

Discussion

7703.	Which of the following is a rational number that lies between 0 and 1?
Answer» Which of the following is a rational number that lies between 0 and 1?

Discussion

7704.	If there are at least two sides equal in a triangle, it can be
Answer» If there are at least two sides equal in a triangle, it can be

Discussion

7705.	3.Let A be a set containing n elements. P and Q are two subsets of A. The number of ways of choosing P and Q so that P U Q=A are?
Answer» 3.Let A be a set containing n elements. P and Q are two subsets of A. The number of ways of choosing P and Q so that P U Q=A are?

Discussion

7706.	From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of diameter 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use π=227)
Answer» From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of diameter 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use $π = \frac{22}{7}$ )

7706.

From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of diameter 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use π=227)

Answer»

From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of diameter 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use $π = \frac{22}{7}$ )

Discussion

7707.	Find the area of the shaded region.
Answer» Find the area of the shaded region.

7707.

Find the area of the shaded region.

Answer»

Find the area of the shaded region.

Discussion

7708.	Find:(i) 0.2 ×6 (ii) 8 × 4.6 (iii) 2.71× 5(iv) 20.1× 4 (v) 0.05 ×7 (vi) 211.02 × 4(vii) 2 ×0.86
Answer» Find: (i) 0.2 × 6 (ii) 8 × 4.6 (iii) 2.71 × 5 (iv) 20.1 × 4 (v) 0.05 × 7 (vi) 211.02 × 4 (vii) 2 × 0.86

7708.

Find:(i) 0.2 ×6 (ii) 8 × 4.6 (iii) 2.71× 5(iv) 20.1× 4 (v) 0.05 ×7 (vi) 211.02 × 4(vii) 2 ×0.86

Answer»

Find:

(i) 0.2 ×
6 (ii) 8 × 4.6 (iii) 2.71
× 5

(iv) 20.1
× 4 (v) 0.05 ×
7 (vi) 211.02 × 4

(vii) 2 ×
0.86

Discussion

7709.	The point of intersection of perpendicular bisectors is called ___.
Answer» The point of intersection of perpendicular bisectors is called ___.

Discussion

7710.	The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.
Answer» The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

Discussion

7711.	If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle. [2 MARKS]
Answer» If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle. [2 MARKS]

Discussion

7712.	Which of the following does not satisfy the following property? A number which divides 542 and 128 and leaves a remainder 2 in both cases.
Answer» Which of the following does not satisfy the following property? A number which divides 542 and 128 and leaves a remainder 2 in both cases.

Discussion

7713.	A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?
Answer» A pack of 2kg of sugar contains $8 \times 10^{6}$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

Discussion

7714.	In the given figure, if AE∥DC and AB=AC, the value of ∠ABD is(a) 70∘(b) 110∘(c) 120∘(d) 130∘
Answer» In the given figure, if $A E ∥ D C$ and $A B = A C,$ the value of $∠ A B D$ is (a) $70^{\circ}$ (b) $110^{\circ}$ (c) $120^{\circ}$ (d) $130^{\circ}$

7714.

In the given figure, if AE∥DC and AB=AC, the value of ∠ABD is(a) 70∘(b) 110∘(c) 120∘(d) 130∘

Answer»

In the given figure, if $A E ∥ D C$ and $A B = A C,$ the value of $∠ A B D$ is

(a) $70^{\circ}$

(b) $110^{\circ}$

(c) $120^{\circ}$

(d) $130^{\circ}$

Discussion

7715.	Question 20Write the correct answer from the given four options.If m is the square of a natural number n, then n isa) The square of mb) Greater than mc) Equal to md) √m
Answer» Question 20 Write the correct answer from the given four options. If m is the square of a natural number n, then n is a) The square of m b) Greater than m c) Equal to m d) $\sqrt{m}$

7715.

Question 20Write the correct answer from the given four options.If m is the square of a natural number n, then n isa) The square of mb) Greater than mc) Equal to md) √m

Answer»

Question 20

Write the correct answer from the given four options.

If m is the square of a natural number n, then n is

a) The square of m

b) Greater than m

c) Equal to m

d) $\sqrt{m}$

Discussion

7716.	64. Three girls ishita, isha, and nisha are playing a game by standing on a circle of radius 20m drawn in a park. Ishita throws a ball to isha, isha to nisha is 24m each, what is the distance between isha and nisha
Answer» 64. Three girls ishita, isha, and nisha are playing a game by standing on a circle of radius 20m drawn in a park. Ishita throws a ball to isha, isha to nisha is 24m each, what is the distance between isha and nisha

Discussion

7717.	A view of die is shown below.The number of dots on the opposite faces add to 7.Complete the markings on the missing faces?
Answer» A view of die is shown below. The number of dots on the opposite faces add to 7. Complete the markings on the missing faces?

Discussion

7718.	Cardinal number of the set A = {x : x is an even prime number} is ____ .
Answer» Cardinal number of the set A = {x : x is an even prime number} is ____ .

Discussion

7719.	If y is the reciprocal of the rational number x, then the reciprocal of y will be
Answer» If $y$ is the reciprocal of the rational number $x$ , then the reciprocal of $y$ will be

Discussion

7720.	Question 62In a pie chart, two central angles can be 180∘.
Answer» Question 62 In a pie chart, two central angles can be $180^{\circ}$ .

7720.

Question 62In a pie chart, two central angles can be 180∘.

Answer»

Question 62

In a pie chart, two central angles can be $180^{\circ}$ .

Discussion

7721.	The coefficient of ab in 2a3b and 2a2b4 respectively are:
Answer» The coefficient of $a b$ in $2 a^{3} b$ and $2 a^{2} b^{4}$ respectively are:

Discussion

7722.	cos(x-y)=1 and cos(x+y)=1/e , where x and y belongs [-,]. then number of ordered pairs (x,y) which satisfy both the equations.
Answer» cos(x-y)=1 and cos(x+y)=1/e , where x and y belongs [-,]. then number of ordered pairs (x,y) which satisfy both the equations.

Discussion

7723.	Distance between Bholu's and Golu's house is 9 km. Bholu has to attend Golu's birthday party at 7 pm. He started from his home at 6 pm on his bicycle and covered the distance 6 km in 40 minutes. At that point, he met Chintu and he spoke to him for 5 minutes and reached Golu's birthday party at 7 pm. With what speed did he cover the second part of journey? Calculate his average speed for his entire journey?
Answer» Distance between Bholu's and Golu's house is 9 km. Bholu has to attend Golu's birthday party at 7 pm. He started from his home at 6 pm on his bicycle and covered the distance 6 km in 40 minutes. At that point, he met Chintu and he spoke to him for 5 minutes and reached Golu's birthday party at 7 pm. With what speed did he cover the second part of journey? Calculate his average speed for his entire journey?

Discussion

7724.	A train of length 180 m approaches a tunnel of length 620 m. How long will it take the train to pass completely through the tunnel at a speed of 54 km/h?
Answer» A train of length 180 m approaches a tunnel of length 620 m. How long will it take the train to pass completely through the tunnel at a speed of 54 km/h?

Discussion

7725.	State any two differences between plane figures and solid figures.
Answer» State any two differences between plane figures and solid figures.

Discussion

7726.	Simiplify: 43+35+−25+−113
Answer» Simiplify: $\frac{4}{3} + \frac{3}{5} + \frac{- 2}{5} + \frac{- 11}{3}$

Discussion

7727.	For what value of x will △ABC be congruent to △XYZ ?
Answer» For what value of $x$ will $△ A B C$ be congruent to $△ X Y Z$ ?

7727.

For what value of x will △ABC be congruent to △XYZ ?

Answer»

For what value of $x$ will $△ A B C$ be congruent to $△ X Y Z$ ?

Discussion

7728.	Given the triangle ABC with angles shown in the diagram above, then m∠ACD=
Answer» Given the triangle $A B C$ with angles shown in the diagram above, then $m ∠ A C D =$

Discussion

7729.	Jack drove 60 miles in one hour. If he maintains his current speed, he will travel a distance of miles in t hours.
Answer» Jack drove $60$ miles in one hour. If he maintains his current speed, he will travel a distance of miles in $t$ hours.

Discussion

7730.	Rachel is a microbiology student in Burger's college. She was doing a research on optimum temperature for the survival of different strains of viruses. She performed an experiment and studies showed that virus A needs an optimum temperature of −30∘C while virus B needs an optimum temperature of −45∘C. The difference between the optimum survival temperatures of virus A and virus B (in degree celsius) is .
Answer» Rachel is a microbiology student in Burger's college. She was doing a research on optimum temperature for the survival of different strains of viruses. She performed an experiment and studies showed that virus $A$ needs an optimum temperature of $- 30^{\circ} C$ while virus $B$ needs an optimum temperature of $- 45^{\circ} C$ . The difference between the optimum survival temperatures of virus $A$ and virus $B$ (in degree celsius) is .

Discussion

7731.	Question 6 (i) Verify Euler’s formula for these solids.
Answer» Question 6 (i) Verify Euler’s formula for these solids.

Discussion

7732.	6. If S is the circumcentre, O is the orthocentre of △ ABC, then \overrightarrow{SA}+\overrightarrow{SB}+\overrightarrow{SC} equals to 1.\overrightarrow{SO } 2. 2(\overrightarrow{SO)} 3. \overrightarrow{OS} 4. 2(\overrightarrow{OS)
Answer» 6. If S is the circumcentre, O is the orthocentre of △ ABC, then \overrightarrow{SA}+\overrightarrow{SB}+\overrightarrow{SC} equals to 1.\overrightarrow{SO } 2. 2(\overrightarrow{SO)} 3. \overrightarrow{OS} 4. 2(\overrightarrow{OS)

Discussion

7733.	Question 112Solve the following question:Find the decimal fraction, which when multiplied by itself, gives 84.64.
Answer» Question 112 Solve the following question: Find the decimal fraction, which when multiplied by itself, gives 84.64.

7733.

Question 112Solve the following question:Find the decimal fraction, which when multiplied by itself, gives 84.64.

Answer»

Question 112

Solve the following question:

Find the decimal fraction, which when multiplied by itself, gives 84.64.

Discussion

7734.	How x(x+10)-3(x+10)=0
Answer» How x(x+10)-3(x+10)=0

Discussion

7735.	5+6÷2+(2+5)×7=___.
Answer» $5 + 6 \div 2 + (2 + 5) \times 7 =$ ___.

Discussion

7736.	The pair of integers (a, b) such that a÷b = -4 is __________.
Answer» The pair of integers (a, b) such that $a \div b$ = -4 is __________.

Discussion

7737.	What is diagonal of a square with side 6 c
Answer» What is diagonal of a square with side 6 c

Discussion

7738.	Question 2(c)Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)Our class has n students. The school has 20n students.
Answer» Question 2(c) Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.) Our class has n students. The school has 20n students.

7738.

Question 2(c)Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)Our class has n students. The school has 20n students.

Answer»

Question 2(c)

Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

Our class has n students. The school has 20n students.

Discussion

7739.	a car cover 30 km at a uniform speed of 30km/hr. what should be its speed for the next 90km/hr if the average speed for the entire journey is 60km/h?
Answer» a car cover 30 km at a uniform speed of 30km/hr. what should be its speed for the next 90km/hr if the average speed for the entire journey is 60km/h?

Discussion

7740.	Solve for x:x3+72=32
Answer» $Solve for x:$ $\frac{x}{3} + \frac{7}{2} = \frac{3}{2}$

Discussion

7741.	The largest two digit number, which on divided by 6 results a remainder of 4 is .
Answer» The largest two digit number, which on divided by 6 results a remainder of 4 is .

Discussion

7742.	Please sent 20 questions for BODMAS tricky one also
Answer» Please sent 20 questions for BODMAS tricky one also

Discussion

7743.	Question 20The value of (256)0.16×(256)0.09 isA) 4B) 16C) 64D) 256.25
Answer» Question 20 The value of $(256)^{0.16} \times (256)^{0.09}$ is A) 4 B) 16 C) 64 D) 256.25

Discussion

7744.	In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).
Answer» In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

7744.

In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

Answer»

In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

Discussion

7745.	Question 2Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Given reason for you answer.
Answer» Question 2 Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Given reason for you answer.

Discussion

7746.	For the given isosceles triangle ABC such that AB=AC and AD bisects the line BC, such that AC≠DC then ∠DAC=
Answer» For the given isosceles triangle $A B C$ such that $A B = A C$ and $A D$ bisects the line $B C$ , such that $A C \neq D C$ then $∠ D A C =$

Discussion

7747.	A train covers first 140 km in 2 hours, next 180 km in 3 hours and the last 40 km in 1 hour. Find the average speed of the train.
Answer» A train covers first 140 km in 2 hours, next 180 km in 3 hours and the last 40 km in 1 hour. Find the average speed of the train.

Discussion

7748.	Construct triangle CDE, in which CD = 6 cm ∠C = ∠D = 60°. Measure ∠E.
Answer» Construct triangle CDE, in which CD = 6 cm ∠C = ∠D = 60°. Measure ∠E.

Discussion

7749.	How to find cube root of 1.5 without calculator
Answer» How to find cube root of 1.5 without calculator

Discussion

7750.	Which of the following options are Pythagorean triples?
Answer» Which of the following options are Pythagorean triples?

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following cannot be used to prove the congruency of 2 triangles?

A man is in talks with a painter. He wants to two of his walls painted. The cost of painting is Rs10 per cm2.How much money is required by him to paint a rectangular wall of length 400 cm and breadth 900 cm and a circular wall of diameter 126 cm? [4 MARKS]

Which of the following is a rational number that lies between 0 and 1?

If there are at least two sides equal in a triangle, it can be

3.Let A be a set containing n elements. P and Q are two subsets of A. The number of ways of choosing P and Q so that P U Q=A are?

From each of the two opposite corners of a square of side 8 cm, a quadrant of a circle of radius 1.4 cm is cut. Another circle of diameter 4.2 cm is also cut from the centre as shown in Fig. Find the area of the remaining (shaded) portion of the square. (Use π=227)

Find the area of the shaded region.

Find:(i) 0.2 ×6 (ii) 8 × 4.6 (iii) 2.71× 5(iv) 20.1× 4 (v) 0.05 ×7 (vi) 211.02 × 4(vii) 2 ×0.86

The point of intersection of perpendicular bisectors is called ___.

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle. [2 MARKS]

Which of the following does not satisfy the following property? A number which divides 542 and 128 and leaves a remainder 2 in both cases.

A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

In the given figure, if AE∥DC and AB=AC, the value of ∠ABD is(a) 70∘(b) 110∘(c) 120∘(d) 130∘

Question 20Write the correct answer from the given four options.If m is the square of a natural number n, then n isa) The square of mb) Greater than mc) Equal to md) √m

64. Three girls ishita, isha, and nisha are playing a game by standing on a circle of radius 20m drawn in a park. Ishita throws a ball to isha, isha to nisha is 24m each, what is the distance between isha and nisha

A view of die is shown below.The number of dots on the opposite faces add to 7.Complete the markings on the missing faces?

Cardinal number of the set A = {x : x is an even prime number} is ____ .

If y is the reciprocal of the rational number x, then the reciprocal of y will be

Question 62In a pie chart, two central angles can be 180∘.

The coefficient of ab in 2a3b and 2a2b4 respectively are:

cos(x-y)=1 and cos(x+y)=1/e , where x and y belongs [-,]. then number of ordered pairs (x,y) which satisfy both the equations.

A train of length 180 m approaches a tunnel of length 620 m. How long will it take the train to pass completely through the tunnel at a speed of 54 km/h?

State any two differences between plane figures and solid figures.

Simiplify: 43+35+−25+−113

For what value of x will △ABC be congruent to △XYZ ?

Given the triangle ABC with angles shown in the diagram above, then m∠ACD=

Jack drove 60 miles in one hour. If he maintains his current speed, he will travel a distance of miles in t hours.

Question 6 (i) Verify Euler’s formula for these solids.

6. If S is the circumcentre, O is the orthocentre of △ ABC, then \overrightarrow{SA}+\overrightarrow{SB}+\overrightarrow{SC} equals to 1.\overrightarrow{SO } 2. 2(\overrightarrow{SO)} 3. \overrightarrow{OS} 4. 2(\overrightarrow{OS)

Question 112Solve the following question:Find the decimal fraction, which when multiplied by itself, gives 84.64.

How x(x+10)-3(x+10)=0

5+6÷2+(2+5)×7=___.

The pair of integers (a, b) such that a÷b = -4 is __________.

What is diagonal of a square with side 6 c

a car cover 30 km at a uniform speed of 30km/hr. what should be its speed for the next 90km/hr if the average speed for the entire journey is 60km/h?

Solve for x:x3+72=32

The largest two digit number, which on divided by 6 results a remainder of 4 is .

Please sent 20 questions for BODMAS tricky one also

Question 20The value of (256)0.16×(256)0.09 isA) 4B) 16C) 64D) 256.25

In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. Find the area highlighted in green colour (in square meters).

Question 2Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Given reason for you answer.

For the given isosceles triangle ABC such that AB=AC and AD bisects the line BC, such that AC≠DC then ∠DAC=

A train covers first 140 km in 2 hours, next 180 km in 3 hours and the last 40 km in 1 hour. Find the average speed of the train.

Construct triangle CDE, in which CD = 6 cm ∠C = ∠D = 60°. Measure ∠E.

How to find cube root of 1.5 without calculator

Which of the following options are Pythagorean triples?