19743 + Interview Questions in Mathematics Page 141 InterviewSolution

7001.	AM is a median of a triangle ABC Is AB+BC+AC greater than 2AM ? (Consider the sides of triangle ABM and triangle AMC .
Answer» AM is a median of a triangle ABC Is AB+BC+AC greater than 2AM ? (Consider the sides of triangle ABM and triangle AMC .

Discussion

7002.	What is the condition to ensure that an equation will actually remain a linear equation in TWO Variables ?
Answer» What is the condition to ensure that an equation will actually remain a linear equation in TWO Variables ?

Discussion

7003.	Mr. Ravi opened a recurring deposit account in a bank. He deposited in the installment of ₹2500 per month for two years. At the time of maturity he received an amount of ₹67,500. Calculate the total interest earned by Mr. Ravi.
Answer» Mr. Ravi opened a recurring deposit account in a bank. He deposited in the installment of ₹2500 per month for two years. At the time of maturity he received an amount of ₹67,500. Calculate the total interest earned by Mr. Ravi.

Discussion

7004.

Prepare a frequency distribution table for the following scores. (size of the CI is 5) 14 19 24 35 16 11 18 25 29 19 21 23 29 33

Answer»

Prepare a frequency distribution table for the following scores. (size of the CI is 5)

14	19	24	35	16	11	18
25	29	19	21	23	29	33

Discussion

7005.

Bansal Traders allow a trade discount of 10% on the list price of the goods purchased from them. Mohan traders, who runs a retail shop made the following purchases from Bansal Traders. Date Amount Rs Dec.21, 2016 1,000 Dec.26, 2016 1,200 Dec.18, 2016 2,000 Dec.31, 2016 5,000 For all the purchases Mohan Traders drew promissory note in favour of Bansal Traders payable after 30 days. The promissory note for the sale of Dec. 21, 2016 was retained by Bansal Traders with them till the date of its maturity. The promissory note drawn on 26.12.2016 was discounted by Bansal Traders from their bank at 12% p.a. The promissory note drawn on Dec. 28, 2016 was endorsed by Bansal Traders in favour of their creditor Dream Soaps in full settlement of a purchase amounting to Rs 1,900. On 25.1.2017 Bansal Traders sent the promissory note drawn on Dec. 31, 2016 to their bank for collection. All the promissory notes were met by Mohan Traders. Record the necessary journal entries for the above transactions in the books of Bansal Traders and Mohan Traders and prepare Mohan Traders account in the books of Bansal Traders and Bansal Traders account in the books of Mohan Traders.

Answer» Bansal Traders allow a trade discount of 10% on the list price of the goods purchased from them. Mohan traders, who runs a retail shop made the following purchases from Bansal Traders.

Date	Amount Rs
Dec.21, 2016	1,000
Dec.26, 2016	1,200
Dec.18, 2016	2,000
Dec.31, 2016	5,000

For all the purchases Mohan Traders drew promissory note in favour of Bansal Traders payable after 30 days. The promissory note for the sale of Dec. 21, 2016 was retained by Bansal Traders with them till the date of its maturity. The promissory note drawn on 26.12.2016 was discounted by Bansal Traders from their bank at 12% p.a. The promissory note drawn on Dec. 28, 2016 was endorsed by Bansal Traders in favour of their creditor Dream Soaps in full settlement of a purchase amounting to Rs 1,900. On 25.1.2017 Bansal Traders sent the promissory note drawn on Dec. 31, 2016 to their bank for collection. All the promissory notes were met by Mohan Traders. Record the necessary journal entries for the above transactions in the books of Bansal Traders and Mohan Traders and prepare Mohan Traders account in the books of Bansal Traders and Bansal Traders account in the books of Mohan Traders.

Discussion

7006.	If 3 kg of sugar contains 9×108 crystals. How many sugar crystals are there in 4 kg of sugar?
Answer» $If 3 kg of sugar contains 9 \times 10^{8} crystals. How many sugar crystals are there in 4 kg of sugar?$

Discussion

7007.	Question 82 Express 16 as a per cent.
Answer» Question 82 Express $\frac{1}{6}$ as a per cent.

7007.

Question 82 Express 16 as a per cent.

Answer»

Question 82

Express $\frac{1}{6}$ as a per cent.

Discussion

7008.	Question 1(iv)Multiply the binomials:(a+3b) and (x+5)
Answer» Question 1(iv) Multiply the binomials: (a+3b) and (x+5)

Discussion

7009.	A certain freezing process requires that room temperature be lowered from 40∘C at the rate of 5∘C every hour. What will be the room temperature 10 hours after the process begins?
Answer» A certain freezing process requires that room temperature be lowered from $40^{\circ} C$ at the rate of $5^{\circ} C$ every hour. What will be the room temperature 10 hours after the process begins?

Discussion

7010.	1/4 litre of milk costs rs.seven and a half. Find the cost of four and half litres of milk. With all the steps.
Answer» 1/4 litre of milk costs rs.seven and a half. Find the cost of four and half litres of milk. With all the steps.

Discussion

7011.	The value of the product 6xy×12x2y2 is same as the value of product?
Answer» The value of the product $6 x y \times 12 x^{2} y^{2}$ is same as the value of product?

Discussion

7012.	Eric eats oatmeal at a constant rate of 25oz per minute. Rosalyn reaches Eric’s place 30 minutes after he starts eating oatmeal. How much oatmeal did he consumed by then?
Answer» Eric eats oatmeal at a constant rate of $\frac{2}{5} oz per minute$ . Rosalyn reaches Eric’s place $30$ minutes after he starts eating oatmeal. How much oatmeal did he consumed by then?

Discussion

7013.	Which of the following is a cubic monomial?
Answer» Which of the following is a cubic monomial?

Discussion

7014.	32. In finding the rate of disappearance why we not use negative sign
Answer» 32. In finding the rate of disappearance why we not use negative sign

Discussion

7015.	Write the comment on the following rational numbers whether they are equal or greater or less than 1926. The numbers are 247338, 1921 and 2632. [3 MARKS]
Answer» Write the comment on the following rational numbers whether they are equal or greater or less than $\frac{19}{26}$ . The numbers are $\frac{247}{338}$ , $\frac{19}{21}$ and $\frac{26}{32}$ . [3 MARKS]

Discussion

7016.	For the equation, 7x - 9 = 5, which of the following is true?
Answer» For the equation, 7x - 9 = 5, which of the following is true?

Discussion

7017.	Express (12)2 in the form of (a + b)2
Answer» Express (12)² in the form of (a + b)²

Discussion

7018.

In a particular city, there were 152 cloudy days last year and it rained on 95 of those days. What is the relative frequency of no rain on a cloudy day in that city?

Answer»

In a particular city, there were 152 cloudy days last year and it rained on 95 of those days. What is the relative frequency of no rain on a cloudy day in that city?

Discussion

7019.	Vous êtes à l'épicerie. Écrivez un dialogue entre vous et l'épicier. (environ 40 mots)
Answer» Vous êtes à l'épicerie. Écrivez un dialogue entre vous et l'épicier. (environ 40 mots)

Discussion

7020.	Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.
Answer» Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.

Discussion

7021.	Question 16In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.
Answer» Question 16 In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

Discussion

7022.	Five years ago,the age of a person was half of his present age.How old is he now?
Answer» Five years ago,the age of a person was half of his present age.How old is he now?

Discussion

7023.	Question 41In the following question, fill in the blanks to make the statements true.Very large lumbers can be expressed in standrad from using ___ exponents.
Answer» Question 41 In the following question, fill in the blanks to make the statements true. Very large lumbers can be expressed in standrad from using ___ exponents.

7023.

Question 41In the following question, fill in the blanks to make the statements true.Very large lumbers can be expressed in standrad from using ___ exponents.

Answer»

Question 41

In the following question, fill in the blanks to make the statements true.

Very large lumbers can be expressed in standrad from using ___ exponents.

Discussion

7024.	Question 1 (v) If m = 2, find the value of: 5m2−4
Answer» Question 1 (v) If m = 2, find the value of: $\frac{5 m}{2} - 4$

7024.

Question 1 (v) If m = 2, find the value of: 5m2−4

Answer»

Question 1 (v)

If m = 2, find the value of:
$\frac{5 m}{2} - 4$

Discussion

7025.	ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA.Prove that(i) ΔABD≅ΔBAC(ii) BD=AC(iii) ∠ABD=∠BAC
Answer» $A B C D$ is a quadrilateral in which $A D = B C$ and $∠ D A B = ∠ C B A$ . Prove that (i) $Δ A B D ≅ Δ B A C$ (ii) $B D = A C$ (iii) $∠ A B D = ∠ B A C$

Discussion

7026.	Find the algebraic expression for the nth term of the pattern given below. 3, 9, 19, 33.....
Answer» Find the algebraic expression for the $n^{t h}$ term of the pattern given below. 3, 9, 19, 33.....

Discussion

7027.	A rational number 𝑎𝑏 is greater than 𝑐𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)
Answer» A rational number 𝑎𝑏 is greater than 𝑐𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)

Discussion

7028.	Expand the following exponential numbers:(1) 23(2) 32(3) (−4)4(4) (5) (52)3
Answer» Expand the following exponential numbers: (1) 2³ (2) 3² (3) (−4)⁴ (4) (5) (5²)³

7028.

Expand the following exponential numbers:(1) 23(2) 32(3) (−4)4(4) (5) (52)3

Answer»

Expand the following exponential numbers:

(1) 2³

(2) 3²

(3) (−4)⁴

(4)

(5) (5²)³

Discussion

7029.	There are 100 cars.What is the combined fraction of the red and white cars?
Answer» There are 100 cars. What is the combined fraction of the red and white cars?

Discussion

7030.	42.20 km + 12.82 km =
Answer» 42.20 km + 12.82 km =

Discussion

7031.	संस्मरण साहित्य क्या है? इसके बारे में जानकारी प्राप्त कीजिए।
Answer» संस्मरण साहित्य क्या है? इसके बारे में जानकारी प्राप्त कीजिए।

Discussion

7032.	90. A small ball describes a horizontal circle on smooth inner surface of a cone as shown in figure. The speed of the ball at a height 0.1m above the vertex is
Answer» 90. A small ball describes a horizontal circle on smooth inner surface of a cone as shown in figure. The speed of the ball at a height 0.1m above the vertex is

Discussion

7033.	X minus one by X equal to 4 find x square + 1 by x square
Answer» X minus one by X equal to 4 find x square + 1 by x square

Discussion

7034.	How do you represent 0.3125 in the form of pq, where p and q are integers and q is not zero?
Answer» How do you represent $0.3125$ in the form of $\frac{p}{q}$ , where $p$ and $q$ are integers and $q$ is not zero?

Discussion

7035.	Ratio of sum of n terms of two A.P.’s is 9n + 1 : 2n + 29. Find ratio of their nth terms??
Answer» Ratio of sum of n terms of two A.P.’s is 9n + 1 : 2n + 29. Find ratio of their nth terms??

Discussion

7036.	The compound interest on $1000 in 2 years compounded yearly is $440. Find the rate of interest
Answer» The compound interest on $$ 1000$ in 2 years compounded yearly is $$ 440.$ Find the rate of interest

Discussion

7037.	(−6)−82×(81)−41 =(Use exponential identities)
Answer» $(- 6)^{- 82} \times (81)^{- 41}$ = (Use exponential identities)

Discussion

7038.	A rectangular garden 60 X 40 m has two roads each 10m wide running in the middle of it, one parallel to the length and other parallel to the breadth. Find the cost of gravelling the roads at RS 20 per square. m.
Answer» A rectangular garden 60 X 40 m has two roads each 10m wide running in the middle of it, one parallel to the length and other parallel to the breadth. Find the cost of gravelling the roads at RS 20 per square. m.

Discussion

7039.	Find the diameter of circles whose circumference is(1) 22 cm(2) 44 cm(3) 8.8 cm(4) 13.2 cm
Answer» Find the diameter of circles whose circumference is (1) 22 cm (2) 44 cm (3) 8.8 cm (4) 13.2 cm

7039.

Find the diameter of circles whose circumference is(1) 22 cm(2) 44 cm(3) 8.8 cm(4) 13.2 cm

Answer»

Find the diameter of circles whose circumference is

(1) 22 cm

(2) 44 cm

(3) 8.8 cm

(4) 13.2 cm

Discussion

7040.	If a is any integer, then a x 0 = 0 x a = ……
Answer» If a is any integer, then a x 0 = 0 x a = ……

Discussion

7041.	Sara bought a triangular-shaped piece of wood with a height of 8 inches and with a base of 3 inches. She plans to cover the front with a piece of fabric, how much fabric (in inch2) will she need?12
Answer» Sara bought a triangular-shaped piece of wood with a height of $8$ inches and with a base of $3$ inches. She plans to cover the front with a piece of fabric, how much fabric $({in inch}^{2})$ will she need? 12

Discussion

7042.	Question 6(ii) 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 any question. (ii) Mohini scores −5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
Answer» Question 6(ii) 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 any question. (ii) Mohini scores −5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

Discussion

7043.	If base and the altitude of a triangle are (3m+2n) and (3m−4n) repectively, then the area of the triangle is _____.
Answer» If base and the altitude of a triangle are $(3 m + 2 n)$ and $(3 m - 4 n)$ repectively, then the area of the triangle is _____.

Discussion

7044.	Joe's bakery is known for their handmade donuts. If 40 donuts were sold on day 1, 100 donuts on day 2, then donuts sold on day 2is % of day 1.
Answer» Joe's bakery is known for their handmade donuts. If 40 donuts were sold on day 1, 100 donuts on day 2, then donuts sold on day 2is % of day 1.

Discussion

7045.	6. A closed cubical box of edge 20 cm is made up of wood of thickness 2 cm . Find the a. Volume of the wood used to make it.
Answer» 6. A closed cubical box of edge 20 cm is made up of wood of thickness 2 cm . Find the a. Volume of the wood used to make it.

Discussion

7046.	Complétez les phrases suivantes en utilisant de, d', du.
Answer» Complétez les phrases suivantes en utilisant de, d', du.

Discussion

7047.	At a certain highway, a car can travel at a speed of atmost 80 miles/hour. If "v" is the speed of the car, thenv80 miles/hr
Answer» At a certain highway, a car can travel at a speed of atmost 80 miles/hour. If " $v$ " is the speed of the car, then $v$ 80 miles/hr

Discussion

7048.	0.12¯¯¯¯¯¯45 is the decimal representation of the rational number .
Answer» $0.12 ¯ ¯¯¯¯ ¯ 45$ is the decimal representation of the rational number .

Discussion

7049.	Angles of a triangle are (x+10∘),(x+40∘) and (2x−30∘). Find the value of x.
Answer» Angles of a triangle are $(x + 10^{\circ}), (x + 40^{\circ})$ and $(2 x - 30^{\circ})$ . Find the value of x.

Discussion

7050.	20. The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB=3CD prove that 2AB square = 2AC square + BC square
Answer» 20. The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB=3CD prove that 2AB square = 2AC square + BC square

Discussion

Explore topic-wise InterviewSolutions in .

AM is a median of a triangle ABC Is AB+BC+AC greater than 2AM ? (Consider the sides of triangle ABM and triangle AMC .

What is the condition to ensure that an equation will actually remain a linear equation in TWO Variables ?

Mr. Ravi opened a recurring deposit account in a bank. He deposited in the installment of ₹2500 per month for two years. At the time of maturity he received an amount of ₹67,500. Calculate the total interest earned by Mr. Ravi.

Prepare a frequency distribution table for the following scores. (size of the CI is 5) 14 19 24 35 16 11 18 25 29 19 21 23 29 33

If 3 kg of sugar contains 9×108 crystals. How many sugar crystals are there in 4 kg of sugar?

Question 82 Express 16 as a per cent.

Question 1(iv)Multiply the binomials:(a+3b) and (x+5)

A certain freezing process requires that room temperature be lowered from 40∘C at the rate of 5∘C every hour. What will be the room temperature 10 hours after the process begins?

1/4 litre of milk costs rs.seven and a half. Find the cost of four and half litres of milk. With all the steps.

The value of the product 6xy×12x2y2 is same as the value of product?

Eric eats oatmeal at a constant rate of 25oz per minute. Rosalyn reaches Eric’s place 30 minutes after he starts eating oatmeal. How much oatmeal did he consumed by then?

Which of the following is a cubic monomial?

32. In finding the rate of disappearance why we not use negative sign

Write the comment on the following rational numbers whether they are equal or greater or less than 1926. The numbers are 247338, 1921 and 2632. [3 MARKS]

For the equation, 7x - 9 = 5, which of the following is true?

Express (12)2 in the form of (a + b)2

In a particular city, there were 152 cloudy days last year and it rained on 95 of those days. What is the relative frequency of no rain on a cloudy day in that city?

Vous êtes à l'épicerie. Écrivez un dialogue entre vous et l'épicier. (environ 40 mots)

Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.

Question 16In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

Five years ago,the age of a person was half of his present age.How old is he now?

Question 41In the following question, fill in the blanks to make the statements true.Very large lumbers can be expressed in standrad from using ___ exponents.

Question 1 (v) If m = 2, find the value of: 5m2−4

ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA.Prove that(i) ΔABD≅ΔBAC(ii) BD=AC(iii) ∠ABD=∠BAC

Find the algebraic expression for the nth term of the pattern given below. 3, 9, 19, 33.....

A rational number 𝑎𝑏 is greater than 𝑐𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)

Expand the following exponential numbers:(1) 23(2) 32(3) (−4)4(4) (5) (52)3

There are 100 cars.What is the combined fraction of the red and white cars?

42.20 km + 12.82 km =

संस्मरण साहित्य क्या है? इसके बारे में जानकारी प्राप्त कीजिए।

90. A small ball describes a horizontal circle on smooth inner surface of a cone as shown in figure. The speed of the ball at a height 0.1m above the vertex is

X minus one by X equal to 4 find x square + 1 by x square

How do you represent 0.3125 in the form of pq, where p and q are integers and q is not zero?

Ratio of sum of n terms of two A.P.’s is 9n + 1 : 2n + 29. Find ratio of their nth terms??

The compound interest on $1000 in 2 years compounded yearly is $440. Find the rate of interest

(−6)−82×(81)−41 =(Use exponential identities)

A rectangular garden 60 X 40 m has two roads each 10m wide running in the middle of it, one parallel to the length and other parallel to the breadth. Find the cost of gravelling the roads at RS 20 per square. m.

Find the diameter of circles whose circumference is(1) 22 cm(2) 44 cm(3) 8.8 cm(4) 13.2 cm

If a is any integer, then a x 0 = 0 x a = ……

Sara bought a triangular-shaped piece of wood with a height of 8 inches and with a base of 3 inches. She plans to cover the front with a piece of fabric, how much fabric (in inch2) will she need?12

If base and the altitude of a triangle are (3m+2n) and (3m−4n) repectively, then the area of the triangle is _____.

Joe's bakery is known for their handmade donuts. If 40 donuts were sold on day 1, 100 donuts on day 2, then donuts sold on day 2is % of day 1.

6. A closed cubical box of edge 20 cm is made up of wood of thickness 2 cm . Find the a. Volume of the wood used to make it.

Complétez les phrases suivantes en utilisant de, d', du.

At a certain highway, a car can travel at a speed of atmost 80 miles/hour. If "v" is the speed of the car, thenv80 miles/hr

0.12¯¯¯¯¯¯45 is the decimal representation of the rational number .

Angles of a triangle are (x+10∘),(x+40∘) and (2x−30∘). Find the value of x.

20. The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB=3CD prove that 2AB square = 2AC square + BC square