19743 + Interview Questions in Mathematics Page 229 InterviewSolution

11401.	The cost of fencing a semi-circular garden of radius 14 m at ₹10 per metre is (a) ₹1080 (b) ₹1020 (c) ₹700 (d) ₹720
Answer» The cost of fencing a semi-circular garden of radius 14 m at ₹10 per metre is (a) ₹1080 (b) ₹1020 (c) ₹700 (d) ₹720

Discussion

11402.	Solve the following problems:10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?
Answer» Solve the following problems: 10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?

11402.

Solve the following problems:10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?

Answer»

Solve the following problems:

10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?

Discussion

11403.	Fill in the blanks: If the number of people increases, the food decreases. This is an example for ........... proportion.
Answer» Fill in the blanks: If the number of people increases, the food decreases. This is an example for ........... proportion.

11403.

Fill in the blanks: If the number of people increases, the food decreases. This is an example for ........... proportion.

Answer»

Fill in the blanks:

If the number of people increases, the food decreases. This is an example for ........... proportion.

Discussion

11404.	Question 88In the following question, state whether the given statements are true (T) or false (F).The value of 5−2 is equal to 25.
Answer» Question 88 In the following question, state whether the given statements are true (T) or false (F). The value of $5^{- 2}$ is equal to 25.

11404.

Question 88In the following question, state whether the given statements are true (T) or false (F).The value of 5−2 is equal to 25.

Answer»

Question 88

In the following question, state whether the given statements are true (T) or false (F).

The value of $5^{- 2}$ is equal to 25.

Discussion

11405.	In the following figure, the measure of angle x is:
Answer» In the following figure, the measure of angle x is:

11405.

In the following figure, the measure of angle x is:

Answer»

In the following figure, the measure of angle x is:

Discussion

11406.	What is the least number of square that must be added so that the line MN becomes a line of symmetry?
Answer» What is the least number of square that must be added so that the line MN becomes a line of symmetry?

Discussion

11407.	The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called:
Answer» The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called:

Discussion

11408.	Question 71A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.
Answer» Question 71 A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

11408.

Question 71A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

Answer»

Question 71

A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

Discussion

11409.	Question 24In the following question, out of the four options, only one is correct. Write the correct answer.The standard form of 0.000064 is :(a) 64×104(b) 64×10−4(c) 6.4×105(d) 6.4×10−5
Answer» Question 24 In the following question, out of the four options, only one is correct. Write the correct answer. The standard form of 0.000064 is : (a) $64 \times 10^{4}$ (b) $64 \times 10^{- 4}$ (c) $6.4 \times 10^{5}$ (d) $6.4 \times 10^{- 5}$

11409.

Question 24In the following question, out of the four options, only one is correct. Write the correct answer.The standard form of 0.000064 is :(a) 64×104(b) 64×10−4(c) 6.4×105(d) 6.4×10−5

Answer»

Question 24

In the following question, out of the four options, only one is correct. Write the correct answer.

The standard form of 0.000064 is :

(a) $64 \times 10^{4}$

(b) $64 \times 10^{- 4}$

(c) $6.4 \times 10^{5}$

(d) $6.4 \times 10^{- 5}$

Discussion

11410.	51. ABC is an isosceles triangle such that AB=AC D is the mid point of AC. A circle is drawn taking BD as diameter which intersects AB at point E. PROVE that AC=4AE.
Answer» 51. ABC is an isosceles triangle such that AB=AC D is the mid point of AC. A circle is drawn taking BD as diameter which intersects AB at point E. PROVE that AC=4AE.

Discussion

11411.	Solve: (128÷32)÷(−4)=
Answer» Solve: $(128 \div 32) \div (- 4) =$

Discussion

11412.	A ship sails 14 nautical km due East and 48 nautical km due North. How far is it from the starting point ?
Answer» A ship sails 14 nautical km due East and 48 nautical km due North. How far is it from the starting point ?

Discussion

11413.	Naina wasgiven pieceof cake and Najma was given pieceof cake. Find the total amount of cake was given to both of them.
Answer» Naina was given piece of cake and Najma was given piece of cake. Find the total amount of cake was given to both of them.

Discussion

11414.	Question 05.A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
Answer» Question 05. A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Discussion

11415.	If you bought a crayon set worth Rs. 15.50 and a notebook worth Rs. 25 and paid the shopkeeper Rs. 50, how much will he return you?
Answer» If you bought a crayon set worth Rs. 15.50 and a notebook worth Rs. 25 and paid the shopkeeper Rs. 50, how much will he return you?

Discussion

11416.	{ †ext { Leateres } 4 †ext { Let } A B C †ext { be a triangle, right-angled at } B } { †ext { and } D †ext { be the midpoint of } A C †ext { . Show that } } { D A = D B = D C †ext { . }
Answer» { †ext { Leateres } 4 †ext { Let } A B C †ext { be a triangle, right-angled at } B } { †ext { and } D †ext { be the midpoint of } A C †ext { . Show that } } { D A = D B = D C †ext { . }

Discussion

11417.	If ∠BAD is less than 90∘, Which of the following statement is definitely true?
Answer» If $∠ B A D$ is less than $90^{\circ}$ , Which of the following statement is definitely true?

Discussion

11418.	If 9 litres of milk is divided among 4 children equally, then each child gets litres.
Answer» If 9 litres of milk is divided among 4 children equally, then each child gets litres.

Discussion

11419.	If p(x) = x100 + 100 is divided by (x – 1), then the remainder is
Answer» If p(x) = x100 + 100 is divided by (x – 1), then the remainder is

Discussion

11420.	Mark the correct alternative in the following question:The sum of the values of the expression 2x2 + 2x + 2 when x = -1 and x = 1 is(a) 6 (b) 8 (c) 4 (d) 2
Answer» Mark the correct alternative in the following question: The sum of the values of the expression 2x² + 2x + 2 when x = $-$ 1 and x = 1 is (a) 6 (b) 8 (c) 4 (d) 2

Discussion

11421.	Question 1(d):From the figure, identifyA chord.
Answer» Question 1(d): From the figure, identify A chord.

11421.

Question 1(d):From the figure, identifyA chord.

Answer»

Question 1(d):

From the figure, identify

A chord.

Discussion

11422.	If the base and height of a right triangle are 3cm and 4 cm respectively, then the perimeter of the triangle is cm
Answer» If the base and height of a right triangle are 3cm and 4 cm respectively, then the perimeter of the triangle is cm

Discussion

11423.	The angle which makes a linear pair with an angle of 61∘ is of
Answer» The angle which makes a linear pair with an angle of $61^{\circ}$ is of

Discussion

11424.	If a = 6+2√3 , find the value of a - 1/a
Answer» If a = 6+2√3 , find the value of a - 1/a

Discussion

11425.	Draw a line l and a point X on it. Through X, draw a line segment ¯¯¯¯¯¯¯¯¯XY perpendicular to l. Now draw a perpendicular to ¯¯¯¯¯¯¯¯¯XY to Y. (use ruler and compasses)
Answer» Draw a line $l$ and a point X on it. Through X, draw a line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y$ perpendicular to $l$ . Now draw a perpendicular to $¯ ¯¯¯¯¯¯¯ ¯ X Y$ to Y. (use ruler and compasses)

Discussion

11426.	if the lengths of the sides of a triangle are 3, 5 and 7 , then the largest angle of the triangle i
Answer» if the lengths of the sides of a triangle are 3, 5 and 7 , then the largest angle of the triangle i

Discussion

11427.	Question 1 (c) State whether true or false. (c) All squares are rhombuses and also rectangles.
Answer» Question 1 (c) State whether true or false. (c) All squares are rhombuses and also rectangles.

11427.

Question 1 (c) State whether true or false. (c) All squares are rhombuses and also rectangles.

Answer»

Question 1 (c)
State whether true or false.

(c) All squares are rhombuses and also rectangles.

Discussion

11428.	The difference of two integers is -8. If one them is -5. Find the other.
Answer» The difference of two integers is -8. If one them is -5. Find the other.

Discussion

11429.	In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
Answer» In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?

Discussion

11430.	The bar graph below gives the calories consumed by three guys A, B, and C after eating chocolate. What is the number of calories consumed by B?
Answer» The bar graph below gives the calories consumed by three guys A, B, and C after eating chocolate. What is the number of calories consumed by B?

11430.

The bar graph below gives the calories consumed by three guys A, B, and C after eating chocolate. What is the number of calories consumed by B?

Answer»

The bar graph below gives the calories consumed by three guys A, B, and C after eating chocolate. What is the number of calories consumed by B?

Discussion

11431.	A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 meters, calculate his speed. (Given π= 22/7)
Answer» A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 meters, calculate his speed. (Given $π$ = 22/7)

Discussion

11432.	Question 4Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.
Answer» Question 4 Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.

11432.

Question 4Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.

Answer»

Question 4

Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.

Discussion

11433.	In ∆ ABC, AB = 2, AC = 4 and the median from A to BC is equal in length to BC. Then value of BC2 is equal to,
Answer» In ∆ ABC, AB = 2, AC = 4 and the median from A to BC is equal in length to BC. Then value of BC² is equal to,

Discussion

11434.	The area of a rectangular field is 0.5 ha. If one side is 12.5 m. Find the other side in meters.
Answer» The area of a rectangular field is 0.5 ha. If one side is 12.5 m. Find the other side in meters.

Discussion

11435.	Define Mid-point theorem.
Answer» Define Mid-point theorem.

Discussion

11436.	Pass the rectification entries for the following transactions:(i) Repairs to plant amounting to ₹ 2,000 had been charged to Plant and Machinery Account.(ii) Wages paid to the firm's workmen for making certain additions to machinery amounting to ₹ 1,340 were debited to Wages Account.(iii) A cheque for ₹ 7,500 received from Sandesh was credited to the account of Ramesh.(iv) Goods to the value of ₹ 7,000 returned by Prateek were included in closing stock, but no entry was made in the books.(v) Goods costing ₹ 5,000 were purchased for various members of the staff and the cost was included in 'Purchases'. A similar amount was deducted from the salaries of the staff members concerned and the net payments to them debited to Salaries Account.(vi) Credit purchase of old machinery from Sohan for ₹ 1,70,000 was entered in the Purchase Book as purchase from Mohan for ₹ 7,10,000. ₹ 30,000 paid as repairing charges on the reconditioning of a newly purchased second hand machinery were debited to General Expenses Account.(vii) Debit and Credit totals of discount columns in the Cash Book which come to ₹ 400 and ₹ 370 respectively have not been posted to Discount Accounts.
Answer» Pass the rectification entries for the following transactions: (i) Repairs to plant amounting to ₹ 2,000 had been charged to Plant and Machinery Account. (ii) Wages paid to the firm's workmen for making certain additions to machinery amounting to ₹ 1,340 were debited to Wages Account. (iii) A cheque for ₹ 7,500 received from Sandesh was credited to the account of Ramesh. (iv) Goods to the value of ₹ 7,000 returned by Prateek were included in closing stock, but no entry was made in the books. (v) Goods costing ₹ 5,000 were purchased for various members of the staff and the cost was included in 'Purchases'. A similar amount was deducted from the salaries of the staff members concerned and the net payments to them debited to Salaries Account. (vi) Credit purchase of old machinery from Sohan for ₹ 1,70,000 was entered in the Purchase Book as purchase from Mohan for ₹ 7,10,000. ₹ 30,000 paid as repairing charges on the reconditioning of a newly purchased second hand machinery were debited to General Expenses Account. (vii) Debit and Credit totals of discount columns in the Cash Book which come to ₹ 400 and ₹ 370 respectively have not been posted to Discount Accounts.

Discussion

11437.	How many common factors do 9 and 36 have?
Answer» How many common factors do $9$ and $36$ have?

Discussion

11438.	Choose the synonym of Villain
Answer» Choose the synonym of Villain

11438.

Choose the synonym of Villain

Answer»

Choose the synonym of

Villain

Discussion

11439.	In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS=x, find ∠ROT.
Answer» In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ , respectively. If $∠ P O S = x$ , find $∠ R O T$ .

11439.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS=x, find ∠ROT.

Answer»

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ , respectively. If $∠ P O S = x$ , find $∠ R O T$ .

Discussion

11440.	Classify the following expression into monomial, binomial or trinomial:(i) 5−3t(ii) 1+x+x2(iii) y2(iv) z2−3z+8
Answer» Classify the following expression into monomial, binomial or trinomial: (i) $5 - 3 t$ (ii) $1 + x + x^{2}$ (iii) $y^{2}$ (iv) $z^{2} - 3 z + 8$

Discussion

11441.	If a = 2 and b = 3, find (a ×b)a.
Answer» If a = 2 and b = 3, find $(a \times b)^{a} .$

Discussion

11442.	If A and B are any two sets, then A ∪ (A ∩ B) is equal to
Answer» If A and B are any two sets, then A ∪ (A ∩ B) is equal to

Discussion

11443.	Simplify (10+26−6)÷10−2
Answer» Simplify $(10 + 26 - 6) \div 10 - 2$

11443.

Simplify (10+26−6)÷10−2

Answer»

Simplify

$(10 + 26 - 6) \div 10 - 2$

Discussion

11444.	ABCD is a rec†an gle and ABEF is a paralle\log ram.Given AB=16cm,AD=10cm.Find are of triangle ABF.
Answer» ABCD is a rec†an gle and ABEF is a paralle\log ram.Given AB=16cm,AD=10cm.Find are of triangle ABF.

Discussion

11445.	Let a,b,c be real numbers such that a+b+c = 2, and a²-b²-c² = 12. The difference between the maximum and minimum possible value of c is p/q with coprime p and q. What is p+q² ?
Answer» Let a,b,c be real numbers such that a+b+c = 2, and a²-b²-c² = 12. The difference between the maximum and minimum possible value of c is p/q with coprime p and q. What is p+q² ?

Discussion

11446.	If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?
Answer» If $a = p^{l} . q^{m} . r^{n}$ and $b = p^{x} . q^{y} . r^{z}$ where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = $p^{2}$ . $q^{3}$ .r and LCM = $p^{3}$ . $q^{4}$ . $r^{3}$ , which one of the following is NOT true?

Discussion

11447.	Which of the following is an equivalent fraction of 1442 with denominator 6?
Answer» Which of the following is an equivalent fraction of $\frac{14}{42}$ with denominator 6?

Discussion

11448.	Why is there a mirror image with respect to x axis in modulus function.
Answer» Why is there a mirror image with respect to x axis in modulus function.

Discussion

11449.	show that there is no integer 'a' such that 'a^2-3a-19' is divisible by 289.
Answer» show that there is no integer 'a' such that 'a^2-3a-19' is divisible by 289.

Discussion

11450.	Classify the following pair of angles as complementary and supplementary. [4 MARKS] (i) 120∘,50∘ (ii) 60∘,120∘ (iii) 39∘,61∘ (iv) 65∘,25∘
Answer» Classify the following pair of angles as complementary and supplementary. [4 MARKS] (i) $120^{\circ}, 50^{\circ}$ (ii) $60^{\circ}, 120^{\circ}$ (iii) $39^{\circ}, 61^{\circ}$ (iv) $65^{\circ}, 25^{\circ}$

Discussion

Explore topic-wise InterviewSolutions in .

The cost of fencing a semi-circular garden of radius 14 m at ₹10 per metre is (a) ₹1080 (b) ₹1020 (c) ₹700 (d) ₹720

Solve the following problems:10 workers can complete a job in 24 days. How many days less will 12 workers take to complete the same job?

Fill in the blanks: If the number of people increases, the food decreases. This is an example for ........... proportion.

Question 88In the following question, state whether the given statements are true (T) or false (F).The value of 5−2 is equal to 25.

In the following figure, the measure of angle x is:

What is the least number of square that must be added so that the line MN becomes a line of symmetry?

The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called:

Question 71A running track has 2 semi-circular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

Question 24In the following question, out of the four options, only one is correct. Write the correct answer.The standard form of 0.000064 is :(a) 64×104(b) 64×10−4(c) 6.4×105(d) 6.4×10−5

51. ABC is an isosceles triangle such that AB=AC D is the mid point of AC. A circle is drawn taking BD as diameter which intersects AB at point E. PROVE that AC=4AE.

Solve: (128÷32)÷(−4)=

A ship sails 14 nautical km due East and 48 nautical km due North. How far is it from the starting point ?

Naina wasgiven pieceof cake and Najma was given pieceof cake. Find the total amount of cake was given to both of them.

Question 05.A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

If you bought a crayon set worth Rs. 15.50 and a notebook worth Rs. 25 and paid the shopkeeper Rs. 50, how much will he return you?

{ †ext { Leateres } 4 †ext { Let } A B C †ext { be a triangle, right-angled at } B } { †ext { and } D †ext { be the midpoint of } A C †ext { . Show that } } { D A = D B = D C †ext { . }

If ∠BAD is less than 90∘, Which of the following statement is definitely true?

If 9 litres of milk is divided among 4 children equally, then each child gets litres.

If p(x) = x100 + 100 is divided by (x – 1), then the remainder is

Mark the correct alternative in the following question:The sum of the values of the expression 2x2 + 2x + 2 when x = -1 and x = 1 is​(a) 6 (b) 8 (c) 4 (d) 2

Question 1(d):From the figure, identifyA chord.

If the base and height of a right triangle are 3cm and 4 cm respectively, then the perimeter of the triangle is cm

The angle which makes a linear pair with an angle of 61∘ is of

If a = 6+2√3 , find the value of a - 1/a

Draw a line l and a point X on it. Through X, draw a line segment ¯¯¯¯¯¯¯¯¯XY perpendicular to l. Now draw a perpendicular to ¯¯¯¯¯¯¯¯¯XY to Y. (use ruler and compasses)

if the lengths of the sides of a triangle are 3, 5 and 7 , then the largest angle of the triangle i

Question 1 (c) State whether true or false. (c) All squares are rhombuses and also rectangles.

The difference of two integers is -8. If one them is -5. Find the other.

In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?

The bar graph below gives the calories consumed by three guys A, B, and C after eating chocolate. What is the number of calories consumed by B?

A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 meters, calculate his speed. (Given π= 22/7)

Question 4Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.

In ∆ ABC, AB = 2, AC = 4 and the median from A to BC is equal in length to BC. Then value of BC2 is equal to,

The area of a rectangular field is 0.5 ha. If one side is 12.5 m. Find the other side in meters.

Define Mid-point theorem.

How many common factors do 9 and 36 have?

Choose the synonym of Villain

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS=x, find ∠ROT.

Classify the following expression into monomial, binomial or trinomial:(i) 5−3t(ii) 1+x+x2(iii) y2(iv) z2−3z+8

If a = 2 and b = 3, find (a ×b)a.

If A and B are any two sets, then A ∪ (A ∩ B) is equal to

Simplify (10+26−6)÷10−2

ABCD is a rec†an gle and ABEF is a paralle\log ram.Given AB=16cm,AD=10cm.Find are of triangle ABF.

Let a,b,c be real numbers such that a+b+c = 2, and a²-b²-c² = 12. The difference between the maximum and minimum possible value of c is p/q with coprime p and q. What is p+q² ?

If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p&lt;q&lt;r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?

Which of the following is an equivalent fraction of 1442 with denominator 6?

Why is there a mirror image with respect to x axis in modulus function.

show that there is no integer 'a' such that 'a^2-3a-19' is divisible by 289.

Classify the following pair of angles as complementary and supplementary. [4 MARKS] (i) 120∘,50∘ (ii) 60∘,120∘ (iii) 39∘,61∘ (iv) 65∘,25∘

Mark the correct alternative in the following question:The sum of the values of the expression 2x2 + 2x + 2 when x = -1 and x = 1 is(a) 6 (b) 8 (c) 4 (d) 2

If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?