19743 + Interview Questions in Mathematics Page 175 InterviewSolution

8701.	Three angles together constitute a right angle i.e. 90∘. One of them is 30∘, second one is twice the third one. Find the third angle.
Answer» Three angles together constitute a right angle i.e. $90^{\circ}$ . One of them is $30^{\circ}$ , second one is twice the third one. Find the third angle.

Discussion

8702.	Add (3+2y−5y2+6y3), (−8+3y+7y3) and (5−6y−8y3+y2).
Answer» Add $(3 + 2 y - 5 y^{2} + 6 y^{3}), (- 8 + 3 y + 7 y^{3})$ and $(5 - 6 y - 8 y^{3} + y^{2})$ .

Discussion

8703.	128.A cube has capacitance C in each of its side . What is the capacitance across one of the side?
Answer» 128.A cube has capacitance C in each of its side . What is the capacitance across one of the side?

Discussion

8704.	In the given figure, if AB \|\| HF and DE \|\| FG, then the measure of ∠FDE is(a) 108°(b) 80°(c) 100°(d) 90°
Answer» In the given figure, if AB \|\| HF and DE \|\| FG, then the measure of ∠FDE is (a) 108° (b) 80° (c) 100° (d) 90°

Discussion

8705.	Question 10Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order. [Hint: Area of a rhombus = 12(product of its diagonals)]
Answer» Question 10 Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order. [Hint: Area of a rhombus = $\frac{1}{2}$ (product of its diagonals)]

Discussion

8706.	Find the sum of all natural numbers from 31 to 60.Hint: Sum of first 10 natural numbers is 55.
Answer» Find the sum of all natural numbers from 31 to 60. Hint: Sum of first 10 natural numbers is 55.

Discussion

8707.	If one green chip as shown above is equivalent to +1, then the below shown chips' sum is equivalent to .
Answer» If one green chip as shown above is equivalent to $+ 1,$ then the below shown chips' sum is equivalent to .

Discussion

8708.	The value of 44 is _____.
Answer» The value of $4^{4}$ is _____.

Discussion

8709.	(x+y)(x−y)(x2+y2) is
Answer» $(x + y) (x - y) (x^{2} + y^{2})$ is

Discussion

8710.	Represent 13+510+41000 as a decimal number.
Answer» Represent $13 + \frac{5}{10} + \frac{4}{1000}$ as a decimal number.

Discussion

8711.	The length of the latusrectum of the ellipse 3x2 + y2 = 12 is(a) 4(b) 3(c) 8(d) 43
Answer» The length of the latusrectum of the ellipse 3x² + y² = 12 is (a) 4 (b) 3 (c) 8 (d) $\frac{4}{\sqrt{3}}$

Discussion

8712.	On 10th March, 2019, A draws on B a bill at 3 months for ₹ 20,000 which B accepts immediately and returns to A. The bill is honoured due date.Pass necessary Journal entries in the books of both the parties.
Answer» On 10th March, 2019, A draws on B a bill at 3 months for ₹ 20,000 which B accepts immediately and returns to A. The bill is honoured due date. Pass necessary Journal entries in the books of both the parties.

Discussion

8713.	Question 13In the given figure, if ∠ACB=∠CDA,AC=8 cm and AD=3 cm, then find BD.
Answer» Question 13 In the given figure, if $∠ A C B = ∠ C D A, A C = 8 c m$ and $A D = 3 c m$ , then find BD.

Discussion

8714.	The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
Answer» The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

Discussion

8715.	What are the factors of 12?
Answer» What are the factors of 12?

Discussion

8716.	For a triangle ABC, which of the following is true?
Answer» For a triangle ABC, which of the following is true?

Discussion

8717.	Find the rightmost number when the following numbers are represented on the number line.−1910, −32, −1310, −95
Answer» Find the rightmost number when the following numbers are represented on the number line. $\frac{- 19}{10}$ , $\frac{- 3}{2}$ , $\frac{- 13}{10}$ , $\frac{- 9}{5}$

Discussion

8718.	A food delivery executive delivers 13 orders daily on a bike with each order sold at ₹ 100.Find his monthly earnings if cost of fuel is ₹60/day(1 month = 30 days).
Answer» A food delivery executive delivers 13 orders daily on a bike with each order sold at ₹ 100.Find his monthly earnings if cost of fuel is ₹60/day(1 month = 30 days).

Discussion

8719.	Choose the correct decimal representation of 524.
Answer» Choose the correct decimal representation of $\frac{5}{24} .$

Discussion

8720.	Question 85(iv) Below a list of 10 tallest buildings in India, This list ranks buildings in India that stand at least 150 m (492 ft.) Tall based and standard height measurement. This includes spires and architectural details but does not include antenna marks. The following data is given as per the available information till 2009. Since new buildings are always under construction, go online to check new taller buildings. Use the information given in the table about skyscrapers to answer the following questions: What is the range of data?
Answer» Question 85(iv) Below a list of 10 tallest buildings in India, This list ranks buildings in India that stand at least 150 m (492 ft.) Tall based and standard height measurement. This includes spires and architectural details but does not include antenna marks. The following data is given as per the available information till 2009. Since new buildings are always under construction, go online to check new taller buildings. Use the information given in the table about skyscrapers to answer the following questions: What is the range of data?

Discussion

8721.	A delivery service can consider shipping boxes with weights which are factors of 18. A total of 12 pounds of material needs to be shipped. If all of the boxes weigh the same, calculate the maximum possible weight in pounds for each box.
Answer» A delivery service can consider shipping boxes with weights which are factors of 18. A total of 12 pounds of material needs to be shipped. If all of the boxes weigh the same, calculate the maximum possible weight in pounds for each box.

Discussion

8722.	The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.
Answer» The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.

Discussion

8723.	Evaluate (3x4)−2×(x12)23
Answer» Evaluate $(3 x^{4})^{- 2} \times (x^{12})^{\frac{2}{3}}$

Discussion

8724.	In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement ΔRAT≅ ?
Answer» In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement $Δ R A T ≅$ ?

Discussion

8725.	Question 4Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?
Answer» Question 4 Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

Discussion

8726.	One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is a picture card excluding the clown card.
Answer» One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is a picture card excluding the clown card.

Discussion

8727.	Division of a whole number p by a fraction A is the same as multiplying p by ___.
Answer» Division of a whole number $p$ by a fraction $A$ is the same as multiplying $p$ by ___.

Discussion

8728.	What is ∠ABC if FB of line AB is 40∘ and BB of line BC is 280∘?
Answer» $What is ∠ A B C if FB of line AB is 40^{\circ} and BB of line BC is 280^{\circ} ?$

Discussion

8729.	Fill in the blanks to make the statement true. Number of terms in a monomial is ___.
Answer» Fill in the blanks to make the statement true. Number of terms in a monomial is ___.

8729.

Fill in the blanks to make the statement true. Number of terms in a monomial is ___.

Answer»

Fill in the blanks to make the statement true.

Number of terms in a monomial is ___.

Discussion

8730.	Which of the following is an algebraic expression ? a) 2x = 5 b) 5a - 3b = 6 c) 25x + 12y 8) 6a + 3 = 8
Answer» Which of the following is an algebraic expression ? a) 2x = 5 b) 5a - 3b = 6 c) 25x + 12y 8) 6a + 3 = 8

8730.

Which of the following is an algebraic expression ? a) 2x = 5 b) 5a - 3b = 6 c) 25x + 12y 8) 6a + 3 = 8

Answer»

Which of the following is an algebraic expression ?

a) 2x = 5

b) 5a - 3b = 6

c) 25x + 12y

8) 6a + 3 = 8

Discussion

8731.	₹9000 becomes ₹18000 at simple interest in 1 year. Find the rate percent per annum.
Answer» ₹9000 becomes ₹18000 at simple interest in 1 year. Find the rate percent per annum.

Discussion

8732.	If A B and C are three angles of a triangles in a relation cosA+cosB+cosC=3/2 . Then prove that the triangle is equilateral
Answer» If A B and C are three angles of a triangles in a relation cosA+cosB+cosC=3/2 . Then prove that the triangle is equilateral

Discussion

8733.	QR/QS=QT/PR and angle 1is equal to angle 2. Show that triangle PQS ~ to triangle RTS
Answer» QR/QS=QT/PR and angle 1is equal to angle 2. Show that triangle PQS ~ to triangle RTS

Discussion

8734.	Which of the following letters has point symmetry?
Answer» Which of the following letters has point symmetry?

Discussion

8735.	Construct an angle of 105∘ by using a ruler and compass.
Answer» Construct an angle of $105^{\circ}$ by using a ruler and compass.

Discussion

8736.	Arrange the following rational numbers in the ascending order54,23,68,85,92.
Answer» Arrange the following rational numbers in the ascending order $\frac{5}{4}, \frac{2}{3}, \frac{6}{8}, \frac{8}{5}, \frac{9}{2} .$

Discussion

8737.	Add: (3xy+7yz+8xz)+(−2xy+3yz−4xz)+(4xy−5yz−2xz)
Answer» Add: $(3 x y + 7 y z + 8 x z) + (- 2 x y + 3 y z - 4 x z)$ $+ (4 x y - 5 y z - 2 x z)$

Discussion

8738.	Rohan's mother gave him ₹3xy2 and his father gave him ₹5(xy2+2).Out of this money, he spent ₹₹(10−3xy2) on his birthday party. How much money is left with him?
Answer» Rohan's mother gave him $₹ 3 x y^{2}$ and his father gave him $₹ 5 (x y^{2} + 2)$ .Out of this money, he spent ₹ $₹ (10 - 3 x y^{2})$ on his birthday party. How much money is left with him?

Discussion

8739.

The following balances were extracted from the books of Modern Traders as at 31st March, 2017:- Particulars (₹) Particulars (₹) Capital Account 85,000 Printing and Stationery 800 Drawings Account 5,000 Sundry Creditors 23,000 Plant and Machinery 40,000 Sales 1,20,000 Stock on 1-4-2016 15,000 Postage 800 Purchases 82,000 Bad-Debts 400 Sundry Debtors 20,600 Provision for Doubtful Debts 800 Furniture 5,000 Discount received 400 Freight Inward 2,000 Rent Revenue 1,200 Carriage Outward 500 Insurance 700 Rent, Rates and Taxes 4,600 Salaries 20,000 Wages 1,300 Cash in Hand 6,200 Cash at Bank 25,500 Prepare Final Accounts for the year ended 31st March, 2017 after taking into account the following:(i) Stock on 31st March, 2017 was valued at ₹ 15,000.(ii) Goods costing ₹ 6,000 were sent to a customer on "Sale on Return basis" for ₹ 7,200 on 26th March, 2017 and had been recorded in the books as actual sales.(iii) Provision for Doubtful Debts is to be maintained at 5% of the Debtors.(iv) Prepaid Insurance was ₹ 100.(v) Provide Depreciation on Plant and Machinery 10% and on Furniture 5%.

Answer» The following balances were extracted from the books of Modern Traders as at 31st March, 2017:-


Particulars	(₹)	Particulars	(₹)
Capital Account	85,000	Printing and Stationery	800
Drawings Account	5,000	Sundry Creditors	23,000
Plant and Machinery	40,000	Sales	1,20,000
Stock on 1-4-2016	15,000	Postage	800
Purchases	82,000	Bad-Debts	400
Sundry Debtors	20,600	Provision for Doubtful Debts	800
Furniture	5,000	Discount received	400
Freight Inward	2,000	Rent Revenue	1,200
Carriage Outward	500	Insurance	700
Rent, Rates and Taxes	4,600	Salaries	20,000
		Wages	1,300
		Cash in Hand	6,200
		Cash at Bank	25,500

Prepare Final Accounts for the year ended 31st March, 2017 after taking into account the following:

(i) Stock on 31st March, 2017 was valued at ₹ 15,000.

(ii) Goods costing ₹ 6,000 were sent to a customer on "Sale on Return basis" for ₹ 7,200 on 26th March, 2017 and had been recorded in the books as actual sales.

(iii) Provision for Doubtful Debts is to be maintained at 5% of the Debtors.

(iv) Prepaid Insurance was ₹ 100.

(v) Provide Depreciation on Plant and Machinery 10% and on Furniture 5%.

Discussion

8740.	The ratio of the number of boys to the number of girls in a tutorial is 2:3. If there are 180 girls, what is the number of boys?
Answer» The ratio of the number of boys to the number of girls in a tutorial is 2:3. If there are 180 girls, what is the number of boys?

Discussion

8741.	In the following passage, there are blanks each of which has been numbered. These numbers are printed below the passage and against each, five words/phrases are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case. Mobile banking (M–banking) involves the use of a mobile phone or any other mobile device to _____(1)_____ financial transactions linked to a client’s account. M–banking is new in most countries and most mobile payment models even in developed countries till date operates on a _____(2)_____ scale. A mobile network offers a _____(3)_____ available technology platform onto which other services can be provided at low cost with effective results. For example, M–banking services which use _____(4)_____ such as SMS can be carried at a cost of less than one US cent per message. The low cost of using existing infrastructure makes such service more _____(5)_____ to use by customers with lower purchasing power and opens up access to services which did not reach them earlier due to _____(6)_____ cost of service delivery. Although M-banking is one aspect in the wider _____(7)_____ of e–banking, there are reasons to single it out for focus, especially because there are a lot more people with mobile phones than bank accounts in India. M–banking could provide a _____(8)_____ solution to bring more 'unbanked’ people to the financial mainstream. Without traditional credit, individuals are _____(9)_____ to exploitation by abusive lenders offering very high interest rates on short-term loans. Also of considerable importance are public safety implications for the unbanked – they are often victims of crime because many operate on a cash-only basis and end up carrying significant amounts of cash on their _____(10)_____ or store cash in their homes. Find out the appropriate word which fits into the 8th blank.
Answer» In the following passage, there are blanks each of which has been numbered. These numbers are printed below the passage and against each, five words/phrases are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case. Mobile banking (M–banking) involves the use of a mobile phone or any other mobile device to _____(1)_____ financial transactions linked to a client’s account. M–banking is new in most countries and most mobile payment models even in developed countries till date operates on a _____(2)_____ scale. A mobile network offers a _____(3)_____ available technology platform onto which other services can be provided at low cost with effective results. For example, M–banking services which use _____(4)_____ such as SMS can be carried at a cost of less than one US cent per message. The low cost of using existing infrastructure makes such service more _____(5)_____ to use by customers with lower purchasing power and opens up access to services which did not reach them earlier due to _____(6)_____ cost of service delivery. Although M-banking is one aspect in the wider _____(7)_____ of e–banking, there are reasons to single it out for focus, especially because there are a lot more people with mobile phones than bank accounts in India. M–banking could provide a _____(8)_____ solution to bring more 'unbanked’ people to the financial mainstream. Without traditional credit, individuals are _____(9)_____ to exploitation by abusive lenders offering very high interest rates on short-term loans. Also of considerable importance are public safety implications for the unbanked – they are often victims of crime because many operate on a cash-only basis and end up carrying significant amounts of cash on their _____(10)_____ or store cash in their homes. Find out the appropriate word which fits into the 8th blank.

Discussion

8742.	What is the average weight loss for four men who dropped 55, 36, 15 and 74 pounds each?
Answer» What is the average weight loss for four men who dropped 55, 36, 15 and 74 pounds each?

Discussion

8743.	Shubendhu buys an old scooter for ₹4700 and spends ₹800 on its repairs. If he sells the scooter for ₹5800, then his gain percent is .
Answer» Shubendhu buys an old scooter for ₹4700 and spends ₹800 on its repairs. If he sells the scooter for ₹5800, then his gain percent is .

Discussion

8744.	Choose the correct pair of addition and subtraction statements.
Answer» Choose the correct pair of addition and subtraction statements.

Discussion

8745.	A. Its business decisions are made on the timely and accurate flow of information. B. It has 1700 employees in 13 branch and representative offices across the Asia-Pacific region. C. For employees to maintain a competitive edge in a fast-moving field, they must have quick access to J P Morgan's proprietary trade related data. D. J P Morgan is one of the largest banking institutions in the US and a premier international trading firm. (CAT 1996)
Answer» A. Its business decisions are made on the timely and accurate flow of information. B. It has 1700 employees in 13 branch and representative offices across the Asia-Pacific region. C. For employees to maintain a competitive edge in a fast-moving field, they must have quick access to J P Morgan's proprietary trade related data. D. J P Morgan is one of the largest banking institutions in the US and a premier international trading firm. (CAT 1996)

8745.

A. Its business decisions are made on the timely and accurate flow of information. B. It has 1700 employees in 13 branch and representative offices across the Asia-Pacific region. C. For employees to maintain a competitive edge in a fast-moving field, they must have quick access to J P Morgan's proprietary trade related data. D. J P Morgan is one of the largest banking institutions in the US and a premier international trading firm. (CAT 1996)

Answer»

A. Its business decisions are made on the timely and accurate flow of information.
B. It has 1700 employees in 13 branch and representative offices across the Asia-Pacific region.
C. For employees to maintain a competitive edge in a fast-moving field, they must have quick access to J P Morgan's proprietary trade related data.
D. J P Morgan is one of the largest banking institutions in the US and a premier international trading firm.

(CAT 1996)

Discussion

8746.	Question 2 The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is (a) 24 (b) 34 (c) 33 (d) 48
Answer» Question 2 The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is (a) 24 (b) 34 (c) 33 (d) 48

Discussion

8747.	A mother said to her son, the sum of our present ages is twice my age 12years ago and nine years hence, the sum of our ages will be thrice my age 14years ago. What is her son's present age
Answer» A mother said to her son, the sum of our present ages is twice my age 12years ago and nine years hence, the sum of our ages will be thrice my age 14years ago. What is her son's present age

Discussion

8748.	44. In Triangle ABC , ∠A = 900,Median AM, angle bisector AK and altitude AH are drawn .Prove that ∠MAK = ∠KAH.
Answer» 44. In Triangle ABC , ∠A = 900,Median AM, angle bisector AK and altitude AH are drawn .Prove that ∠MAK = ∠KAH.

Discussion

8749.	Sort the following in the increasing order of their values from top to bottom.
Answer» Sort the following in the increasing order of their values from top to bottom.

Discussion

8750.	27:51::83:x find the value of x
Answer» 27:51::83:x find the value of x

Discussion

Explore topic-wise InterviewSolutions in .

Three angles together constitute a right angle i.e. 90∘. One of them is 30∘, second one is twice the third one. Find the third angle.

Add (3+2y−5y2+6y3), (−8+3y+7y3) and (5−6y−8y3+y2).

128.A cube has capacitance C in each of its side . What is the capacitance across one of the side?

In the given figure, if AB || HF and DE || FG, then the measure of ∠FDE is(a) 108°(b) 80°(c) 100°(d) 90°

Question 10Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order. [Hint: Area of a rhombus = 12(product of its diagonals)]

Find the sum of all natural numbers from 31 to 60.Hint: Sum of first 10 natural numbers is 55.

If one green chip as shown above is equivalent to +1, then the below shown chips' sum is equivalent to .

The value of 44 is _____.

(x+y)(x−y)(x2+y2) is

Represent 13+510+41000 as a decimal number.

The length of the latusrectum of the ellipse 3x2 + y2 = 12 is(a) 4(b) 3(c) 8(d) 43

On 10th March, 2019, A draws on B a bill at 3 months for ₹ 20,000 which B accepts immediately and returns to A. The bill is honoured due date.​Pass necessary Journal entries in the books of both the parties.

Question 13In the given figure, if ∠ACB=∠CDA,AC=8 cm and AD=3 cm, then find BD.

The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

What are the factors of 12?

For a triangle ABC, which of the following is true?

Find the rightmost number when the following numbers are represented on the number line.−1910, −32, −1310, −95

A food delivery executive delivers 13 orders daily on a bike with each order sold at ₹ 100.Find his monthly earnings if cost of fuel is ₹60/day(1 month = 30 days).

Choose the correct decimal representation of 524.

A delivery service can consider shipping boxes with weights which are factors of 18. A total of 12 pounds of material needs to be shipped. If all of the boxes weigh the same, calculate the maximum possible weight in pounds for each box.

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.

Evaluate (3x4)−2×(x12)23

In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement ΔRAT≅ ?

Question 4Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is a picture card excluding the clown card.

Division of a whole number p by a fraction A is the same as multiplying p by ___.

What is ∠ABC if FB of line AB is 40∘ and BB of line BC is 280∘?

Fill in the blanks to make the statement true. Number of terms in a monomial is ___.

Which of the following is an algebraic expression ? a) 2x = 5 b) 5a - 3b = 6 c) 25x + 12y 8) 6a + 3 = 8

₹9000 becomes ₹18000 at simple interest in 1 year. Find the rate percent per annum.

If A B and C are three angles of a triangles in a relation cosA+cosB+cosC=3/2 . Then prove that the triangle is equilateral

QR/QS=QT/PR and angle 1is equal to angle 2. Show that triangle PQS ~ to triangle RTS

Which of the following letters has point symmetry?

Construct an angle of 105∘ by using a ruler and compass.

Arrange the following rational numbers in the ascending order54,23,68,85,92.

Add: (3xy+7yz+8xz)+(−2xy+3yz−4xz)+(4xy−5yz−2xz)

Rohan's mother gave him ₹3xy2 and his father gave him ₹5(xy2+2).Out of this money, he spent ₹₹(10−3xy2) on his birthday party. How much money is left with him?

The ratio of the number of boys to the number of girls in a tutorial is 2:3. If there are 180 girls, what is the number of boys?

What is the average weight loss for four men who dropped 55, 36, 15 and 74 pounds each?

Shubendhu buys an old scooter for ₹4700 and spends ₹800 on its repairs. If he sells the scooter for ₹5800, then his gain percent is .

Choose the correct pair of addition and subtraction statements.

Question 2 The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is (a) 24 (b) 34 (c) 33 (d) 48

A mother said to her son, the sum of our present ages is twice my age 12years ago and nine years hence, the sum of our ages will be thrice my age 14years ago. What is her son's present age

44. In Triangle ABC , ∠A = 900,Median AM, angle bisector AK and altitude AH are drawn .Prove that ∠MAK = ∠KAH.

Sort the following in the increasing order of their values from top to bottom.

27:51::83:x find the value of x

On 10th March, 2019, A draws on B a bill at 3 months for ₹ 20,000 which B accepts immediately and returns to A. The bill is honoured due date.Pass necessary Journal entries in the books of both the parties.