19743 + Interview Questions in Mathematics Page 116 InterviewSolution

5751.	Question 59 Express the given statement as an equation. A number is 7 more than one-third of itself.
Answer» Question 59 Express the given statement as an equation. A number is 7 more than one-third of itself.

5751.

Question 59 Express the given statement as an equation. A number is 7 more than one-third of itself.

Answer»

Question 59

Express the given statement as an equation.

A number is 7 more than one-third of itself.

Discussion

5752.	Which option shows the missing angle ?
Answer» Which option shows the missing angle ?

5752.

Which option shows the missing angle ?

Answer»

Which option shows the missing angle ?

Discussion

5753.	₹ 4000 - ₹ 1500 = ₹ ___
Answer» ₹ 4000 - ₹ 1500 = ₹ ___

Discussion

5754.	Write one equal ratio for the following.
Answer» Write one equal ratio for the following.

5754.

Write one equal ratio for the following.

Answer»

Write one equal ratio for the following.

Discussion

5755.	Observe the pattern of the first figure to find the values of a & b in the second figure.If x=1, then the value of b−a=
Answer» Observe the pattern of the first figure to find the values of $a$ & $b$ in the second figure.If $x = 1,$ then the value of $b - a =$

Discussion

5756.	Ifddx(f(x))=11+x2, then ddxfx3=_________________________.
Answer» $If \frac{d}{d x} (f (x)) = \frac{1}{1 + x^{2}}, then \frac{d}{d x} \{f (x^{3})\} =_________________________.$

Discussion

5757.	If A=020003-220 and B=1233455-40, then (AB)33 = ____________.
Answer» If $A = [\begin{matrix} 0 & 2 & 0 \\ 0 & 0 & 3 \\ - 2 & 2 & 0 \end{matrix}] and B = [\begin{matrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 5 & - 4 & 0 \end{matrix}],$ then (AB)₃₃ = ____________.

Discussion

5758.	Which of the following images represent the correct multiplication table of 32 × 43?
Answer» Which of the following images represent the correct multiplication table of 32 $\times$ 43?

Discussion

5759.	Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(y)=y2−y+1(ii) p(t)=2+t+2t2−t3
Answer» Find p(0), p(1) and p(2) for each of the following polynomials: (i) $p (y) = y^{2} - y + 1$ (ii) $p (t) = 2 + t + 2 t^{2} - t^{3}$

Discussion

5760.	Question 86 (i) The sum of first n natural numbers is given by 12n2+12n. Find The sum of first 5 natural numbers.
Answer» Question 86 (i) The sum of first n natural numbers is given by $\frac{1}{2} n^{2} + \frac{1}{2} n$ . Find The sum of first 5 natural numbers.

5760.

Question 86 (i) The sum of first n natural numbers is given by 12n2+12n. Find The sum of first 5 natural numbers.

Answer»

Question 86 (i)

The sum of first n natural numbers is given by $\frac{1}{2} n^{2} + \frac{1}{2} n$ . Find

The sum of first 5 natural numbers.

Discussion

5761.	If SP = ₹ 5300 and gain = ₹ 300, then the CP and gain % are ___.
Answer» If SP = ₹ 5300 and gain = ₹ 300, then the CP and gain % are ___.

Discussion

5762.	What is the length of the longest rope which can be used to exactly measure 65cm and 115 cm?
Answer» What is the length of the longest rope which can be used to exactly measure 65cm and 115 cm?

Discussion

5763.	The mean of 5 observations is 12. If the mean of the first 3 observations is 10, then find the mean of the other two.
Answer» The mean of 5 observations is 12. If the mean of the first 3 observations is 10, then find the mean of the other two.

Discussion

5764.	Evaluate each of the following:(i) 1113 − 893(ii) 463+343(iii) 1043 + 963(iv) 933 − 1073
Answer» Evaluate each of the following: (i) 111³ − 89³ (ii) 46³+34³ (iii) 104³ + 96³ (iv) 93³ − 107³

Discussion

5765.	The ratio between the diameters of two circles is 5:7. The ratio between their area is _____.
Answer» The ratio between the diameters of two circles is $5 : 7$ . The ratio between their area is _____.

Discussion

5766.	Which will result if the following shape is reflected over line?
Answer» Which will result if the following shape is reflected over line?

5766.

Which will result if the following shape is reflected over line?

Answer»

Which will result if the following shape is reflected over line?

Discussion

5767.	Question 2 (iii)ABCD is a quadrilateral in which AD = BC and∠DAB=∠CBA (See the given figure). Prove that∠ABD=∠BAC.
Answer» Question 2 (iii) ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that $∠ A B D = ∠ B A C .$

Discussion

5768.	If the ratio of the breadth and length of a rectangle is 4:5 and its area is 500 m2 then find length and breadth of the rectangle.
Answer» If the ratio of the breadth and length of a rectangle is 4:5 and its area is 500 m $^{2}$ then find length and breadth of the rectangle.

Discussion

5769.	Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?
Answer» Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

5769.

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

Answer»

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

Discussion

5770.	ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]
Answer» ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]

Discussion

5771.	IfΔBOC≅ΔAOD and ∠ DOA=30∘, then ∠BCO is equal to ___∘.
Answer» If $Δ B O C ≅ Δ A O D$ and $∠$ $D O A = 30^{\circ}$ , then $∠ B C O$ is equal to ___ $^{\circ}$ .

5771.

IfΔBOC≅ΔAOD and ∠ DOA=30∘, then ∠BCO is equal to ___∘.

Answer»

If $Δ B O C ≅ Δ A O D$ and $∠$ $D O A = 30^{\circ}$ , then $∠ B C O$ is equal to ___ $^{\circ}$ .

Discussion

5772.	find the total number of 5 letters from 5As,4Bs,3Cs,2Ds
Answer» find the total number of 5 letters from 5As,4Bs,3Cs,2Ds

Discussion

5773.	What is 7/9 - 3/9?
Answer» What is 7/9 - 3/9?

Discussion

5774.

On 1st January, 2017, Ram commenced business with a capital of ₹ 50,000 represented by :Cash in Hand ₹ 12,500; Cash at Bank ₹ 12,500; Stock ₹ 20,000; Furniture and Fittings ₹ 5,000. Open the books by means of a Journal and then pass the following transactions through the books to the Ledger. Take out a Trial Balance as on 31st January, 2017. The Cash Book must be balanced. 2017 ₹ Jan. 1 Sold goods to R. Raman 5,000 Jan. 2 Bought goods from Man Mohan 10,000 Jan. 3 Bought stationery for cash 100 Jan. 5 Received cash from R. Raman 4,700 Discount allowed to him 300 Jan. 6 Sold goods to Bimal 7,500 Jan. 8 Bimal returned part of goods supplied on the 6th instant 1,500 Jan. 10 Paid cash into bank 1,000 Jan. 12 Paid wages in cash 1,500 Jan. 13 Bought office desk on credit from the Union Furniture Co. 1,500 Jan. 19 Paid wages in cash 1,500 Jan. 21 Paid to Man Mohan by cheque 9,500 Discount received 500 Jan. 21 Sold goods to Ramesh 6,000 Jan. 22 Received cheque from Bimal 6,000 Jan. 23 Bought goods from Man Mohan 7,000 Jan. 24 Drew cheque for private use 2,000 Jan. 27 Paid wages in cash 1,500 Jan. 31 Rent due to Lanlord 1,000

Answer» On 1st January, 2017, Ram commenced business with a capital of ₹ 50,000 represented by :

Cash in Hand ₹ 12,500; Cash at Bank ₹ 12,500; Stock ₹ 20,000; Furniture and Fittings ₹ 5,000. Open the books by means of a Journal and then pass the following transactions through the books to the Ledger. Take out a Trial Balance as on 31st January, 2017. The Cash Book must be balanced.

2017		₹
Jan. 1	Sold goods to R. Raman	5,000
Jan. 2	Bought goods from Man Mohan	10,000
Jan. 3	Bought stationery for cash	100
Jan. 5	Received cash from R. Raman	4,700
	Discount allowed to him	300
Jan. 6	Sold goods to Bimal	7,500
Jan. 8	Bimal returned part of goods supplied on the 6th instant	1,500
Jan. 10	Paid cash into bank	1,000
Jan. 12	Paid wages in cash	1,500
Jan. 13	Bought office desk on credit from the Union Furniture Co.	1,500
Jan. 19	Paid wages in cash	1,500
Jan. 21	Paid to Man Mohan by cheque	9,500
	Discount received	500
Jan. 21	Sold goods to Ramesh	6,000
Jan. 22	Received cheque from Bimal	6,000
Jan. 23	Bought goods from Man Mohan	7,000
Jan. 24	Drew cheque for private use	2,000
Jan. 27	Paid wages in cash	1,500
Jan. 31	Rent due to Lanlord	1,000

Discussion

5775.	Question 4 (i)Find the square roots of the following numbers by the Prime Factorization method:729
Answer» Question 4 (i) Find the square roots of the following numbers by the Prime Factorization method: 729

Discussion

5776.	Question 2 (iii)Write a Pythagorean Triplet whose one member is:16
Answer» Question 2 (iii) Write a Pythagorean Triplet whose one member is: 16

5776.

Question 2 (iii)Write a Pythagorean Triplet whose one member is:16

Answer»

Question 2 (iii)

Write a Pythagorean Triplet whose one member is:

16

Discussion

5777.	Simplify: x2y2x5y3
Answer» Simplify: $x^{2} y^{2} x^{5} y^{3}$

Discussion

5778.	Define additive identity. Give an example. [2 MARKS]
Answer» Define additive identity. Give an example. [2 MARKS]

Discussion

5779.	From the given figure evaluate the value of x if AB is parallel to CD and the line t is a transversal.
Answer» From the given figure evaluate the value of x if AB is parallel to CD and the line t is a transversal.

5779.

From the given figure evaluate the value of x if AB is parallel to CD and the line t is a transversal.

Answer»

From the given figure evaluate the value of x if AB is parallel to CD and the line t is a transversal.

Discussion

5780.	In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?
Answer» In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?

Discussion

5781.

A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the maximum machining time available on each machine. The profit per unit on parts I and II are Rs 40 and Rs 100, respectively. The maximum profit per week of the firm is Rs Type of mchine Machining time required for the machine part (minutes) Maximum machining time available per week (minutes) I II Turning Center 12 6 6000 Milling Center 4 10 4000 Grinding Machine 2 3 1800

Answer» A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the maximum machining time available on each machine. The profit per unit on parts I and II are Rs 40 and Rs 100, respectively. The maximum profit per week of the firm is Rs

Type of mchine	Machining time required for the machine part (minutes)		Maximum machining time available per week (minutes)
	I	II
Turning Center	12	6	6000
Milling Center	4	10	4000
Grinding Machine	2	3	1800

Discussion

5782.	Write the coefficient of x in −4bx+3ay.
Answer» Write the coefficient of $x$ in $- 4 b x + 3 a y$ .

Discussion

5783.	Sita brought 20 kg of fruits. Out of these, 5 kgs 500 gm were apples and 4 kg were oranges and the rest were bananas. What was the weight of the bananas?
Answer» Sita brought $20 k g$ of fruits. Out of these, $5 k g s 500 g m$ were apples and $4 k g$ were oranges and the rest were bananas. What was the weight of the bananas?

5783.

Sita brought 20 kg of fruits. Out of these, 5 kgs 500 gm were apples and 4 kg were oranges and the rest were bananas. What was the weight of the bananas?

Answer»

Sita brought $20 k g$ of fruits. Out of these, $5 k g s 500 g m$ were apples and $4 k g$ were oranges and the rest were bananas. What was the weight of the bananas?

Discussion

5784.	(1) If two complementary angles are in the ratio 7: 8. Find t the angles .
Answer» (1) If two complementary angles are in the ratio 7: 8. Find t the angles .

Discussion

5785.	52. If a triangle has one angle equal to 55 and other two angles differ by 35, then find the other two angles.
Answer» 52. If a triangle has one angle equal to 55 and other two angles differ by 35, then find the other two angles.

Discussion

5786.	Question 1 (iv)Sides of triangles are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse.(iv) 13 cm, 12 cm, 5 cm
Answer» Question 1 (iv) Sides of triangles are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse. (iv) 13 cm, 12 cm, 5 cm

Discussion

5787.	Jack is a great Mathematician, he can’t remember about each and every part of the time machine he built. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? DeviceMore numbers stars = High priorityTime Direction Module★★★★★Batteries★★★AYC(Analog Year counter)★Toolbox★★
Answer» Jack is a great Mathematician, he can’t remember about each and every part of the time machine he built. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? $\begin{matrix} Device & More numbers stars = High priority Time Direction Module & ★ ★ ★ ★ ★ Batteries & ★ ★ ★ AYC(Analog Year counter) & ★ Toolbox & ★ ★ \end{matrix}$

5787.

Jack is a great Mathematician, he can’t remember about each and every part of the time machine he built. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important? DeviceMore numbers stars = High priorityTime Direction Module★★★★★Batteries★★★AYC(Analog Year counter)★Toolbox★★

Answer»

Jack is a great Mathematician, he can’t remember about each and every part of the time machine he built. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important?

$\begin{matrix} Device & More numbers stars = High priority Time Direction Module & ★ ★ ★ ★ ★ Batteries & ★ ★ ★ AYC(Analog Year counter) & ★ Toolbox & ★ ★ \end{matrix}$

Discussion

5788.	Choose the inverse equation for the given division equation. 40÷4=10
Answer» Choose the inverse equation for the given division equation. $40 \div 4 = 10$

Discussion

5789.	What is the expanded form of (a + b)2
Answer» What is the expanded form of (a + b)²

Discussion

5790.	Mets les phrases au style direct:1. Il leur demande comment ils s'appellent.2. Il lui demande quel film il a vu.3. Ma mère me demande pourquoi je sors tous les soirs.4. Valérie me demande de lui montrer ma collection de CD.5. Pauline me demande quels sont mes loisirs préférés .
Answer» Mets les phrases au style direct: 1. Il leur demande comment ils s'appellent. 2. Il lui demande quel film il a vu. 3. Ma mère me demande pourquoi je sors tous les soirs. 4. Valérie me demande de lui montrer ma collection de CD. 5. Pauline me demande quels sont mes loisirs préférés .

Discussion

5791.	Question 16 In the given figure the value of y is (a) 30∘ (b) 15∘ (c) 20∘ (d) 22.5∘
Answer» Question 16 In the given figure the value of y is (a) $30^{\circ}$ (b) $15^{\circ}$ (c) $20^{\circ}$ (d) ${22.5}^{\circ}$

Discussion

5792.	Question 54 (iii) Write the coefficient of x2 in the following: 1+2x+3x2+4x3
Answer» Question 54 (iii) Write the coefficient of $x^{2}$ in the following: $1 + 2 x + 3 x^{2} + 4 x^{3}$

5792.

Question 54 (iii) Write the coefficient of x2 in the following: 1+2x+3x2+4x3

Answer»

Question 54 (iii)

Write the coefficient of $x^{2}$ in the following:

$1 + 2 x + 3 x^{2} + 4 x^{3}$

Discussion

5793.	Mark the correct alternative in the following question:The zero of 3x + 2 isa 23 b 32 c -23 d -32
Answer» Mark the correct alternative in the following question: The zero of 3x + 2 is $(a) \frac{2}{3} (b) \frac{3}{2} (c) - \frac{2}{3} (d) \frac{- 3}{2}$

Discussion

5794.	In the given diagram, ∠O\|OB and ∠OO\|P are called ________.
Answer» In the given diagram, $∠$ O^\|OB and $∠$ OO^\|P are called ________.

5794.

In the given diagram, ∠O|OB and ∠OO|P are called ________.

Answer»

In the given diagram, $∠$ O^|OB and $∠$ OO^|P are called ________.

Discussion

5795.	Total surface area of the following prism is
Answer» Total surface area of the following prism is

Discussion

5796.	13. If three times the larger of the two numbers is divided by the smaller one we get 4 as quotient and 3 as remainder.Also if seven times the smaller number is divided by the larger number we get 5 as quotient and 1 as ramainder.Find the numbers?
Answer» 13. If three times the larger of the two numbers is divided by the smaller one we get 4 as quotient and 3 as remainder.Also if seven times the smaller number is divided by the larger number we get 5 as quotient and 1 as ramainder.Find the numbers?

Discussion

5797.	Round of 45 ÷ 11 to 3 decimal places.
Answer» Round of 45 $\div$ 11 to 3 decimal places.

Discussion

5798.	Manan buys 9 pens for Rs.36 and sells them at the rate of 12 pens for Rs.52. Find the gain or loss percent.
Answer» Manan buys 9 pens for Rs.36 and sells them at the rate of 12 pens for Rs.52. Find the gain or loss percent.

Discussion

5799.	Question 6 (ii)Verify Euler’s formula for these solids.
Answer» Question 6 (ii) Verify Euler’s formula for these solids.

Discussion

5800.

You have to show that ΔAMP ≅ AMQ.In the following proof, supply the missing reasons. - Steps - Reasons (i) PM = QM (i) … (ii) ∠PMA = ∠QMA (ii) … (iii) AM = AM (iii) … (iv) ΔAMP ≅ ΔAMQ (iv) …

Answer»

You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

-	Steps	-	Reasons
(i)	PM = QM	(i)	…
(ii)	∠PMA = ∠QMA	(ii)	…
(iii)	AM = AM	(iii)	…
(iv)	ΔAMP ≅ ΔAMQ	(iv)	…

Discussion

Explore topic-wise InterviewSolutions in .

Question 59 Express the given statement as an equation. A number is 7 more than one-third of itself.

Which option shows the missing angle ?

₹ 4000 - ₹ 1500 = ₹ ___

Write one equal ratio for the following.

Observe the pattern of the first figure to find the values of a & b in the second figure.If x=1, then the value of b−a=

Ifddx(f(x))=11+x2, then ddxfx3=_________________________.

If A=020003-220 and B=1233455-40, then (AB)33 = ____________.

Which of the following images represent the correct multiplication table of 32 × 43?

Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(y)=y2−y+1(ii) p(t)=2+t+2t2−t3

Question 86 (i) The sum of first n natural numbers is given by 12n2+12n. Find The sum of first 5 natural numbers.

If SP = ₹ 5300 and gain = ₹ 300, then the CP and gain % are ___.

What is the length of the longest rope which can be used to exactly measure 65cm and 115 cm?

The mean of 5 observations is 12. If the mean of the first 3 observations is 10, then find the mean of the other two.

Evaluate each of the following:(i) 1113 − 893(ii) 463+343(iii) 1043 + 963(iv) 933 − 1073

The ratio between the diameters of two circles is 5:7. The ratio between their area is _____.

Which will result if the following shape is reflected over line?

Question 2 (iii)ABCD is a quadrilateral in which AD = BC and∠DAB=∠CBA (See the given figure). Prove that∠ABD=∠BAC.

If the ratio of the breadth and length of a rectangle is 4:5 and its area is 500 m2 then find length and breadth of the rectangle.

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]

IfΔBOC≅ΔAOD and ∠ DOA=30∘, then ∠BCO is equal to ___∘.

find the total number of 5 letters from 5As,4Bs,3Cs,2Ds

What is 7/9 - 3/9?

Question 4 (i)Find the square roots of the following numbers by the Prime Factorization method:729

Question 2 (iii)Write a Pythagorean Triplet whose one member is:16

Simplify: x2y2x5y3

Define additive identity. Give an example. [2 MARKS]

From the given figure evaluate the value of x if AB is parallel to CD and the line t is a transversal.

In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?

Write the coefficient of x in −4bx+3ay.

Sita brought 20 kg of fruits. Out of these, 5 kgs 500 gm were apples and 4 kg were oranges and the rest were bananas. What was the weight of the bananas?

(1) If two complementary angles are in the ratio 7: 8. Find t the angles .

52. If a triangle has one angle equal to 55 and other two angles differ by 35, then find the other two angles.

Question 1 (iv)Sides of triangles are given below. Determine whether it forms a right triangle? In case of a right triangle, write the length of its hypotenuse.(iv) 13 cm, 12 cm, 5 cm

Choose the inverse equation for the given division equation. 40÷4=10

What is the expanded form of (a + b)2

Mets les phrases au style direct:1. Il leur demande comment ils s'appellent.2. Il lui demande quel film il a vu.3. Ma mère me demande pourquoi je sors tous les soirs.4. Valérie me demande de lui montrer ma collection de CD.5. Pauline me demande quels sont mes loisirs préférés .

Question 16 In the given figure the value of y is (a) 30∘ (b) 15∘ (c) 20∘ (d) 22.5∘

Question 54 (iii) Write the coefficient of x2 in the following: 1+2x+3x2+4x3

Mark the correct alternative in the following question:The zero of 3x + 2 isa 23 b 32 c -23 d -32

In the given diagram, ∠O|OB and ∠OO|P are called ________.

Total surface area of the following prism is

13. If three times the larger of the two numbers is divided by the smaller one we get 4 as quotient and 3 as remainder.Also if seven times the smaller number is divided by the larger number we get 5 as quotient and 1 as ramainder.Find the numbers?

Round of 45 ÷ 11 to 3 decimal places.

Manan buys 9 pens for Rs.36 and sells them at the rate of 12 pens for Rs.52. Find the gain or loss percent.

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

You have to show that ΔAMP ≅ AMQ.In the following proof, supply the missing reasons. - Steps - Reasons (i) PM = QM (i) … (ii) ∠PMA = ∠QMA (ii) … (iii) AM = AM (iii) … (iv) ΔAMP ≅ ΔAMQ (iv) …