25365 + Interview Questions in Mathematics Page 183 InterviewSolution

9101.	More than One Answer Typeएक से अधिक उत्तर प्रकार के प्रश्नIf 7 is added to both the numerator and denominator of the fraction 712, then x is the additive inverse of the new fraction. The incorrect option(s) is/areयदि भिन्न 712 के अंश व हर दोनों में 7 जोड़ा जाता है, तब नयी भिन्न का योगात्मक प्रतिलोम x है। तब गलत विकल्प है/हैं
Answer» More than One Answer Type एक से अधिक उत्तर प्रकार के प्रश्न If 7 is added to both the numerator and denominator of the fraction $\frac{7}{12}$ , then x is the additive inverse of the new fraction. The incorrect option(s) is/are यदि भिन्न $\frac{7}{12}$ के अंश व हर दोनों में 7 जोड़ा जाता है, तब नयी भिन्न का योगात्मक प्रतिलोम x है। तब गलत विकल्प है/हैं

Discussion

9102.	Rina and Tina went to the market to buy half a dozen apples and two chocolates. What is the amount (in ₹) they spent if each apple costs ₹x and each chocolate costs ₹y?
Answer» Rina and Tina went to the market to buy half a dozen apples and two chocolates. What is the amount (in ₹) they spent if each apple costs ₹ $x$ and each chocolate costs ₹ $y$ ?

Discussion

9103.	Factorise x cube- x square+ 4x + 4
Answer» Factorise x cube- x square+ 4x + 4

Discussion

9104.	What is the value of 4! ?
Answer» What is the value of $4! ?$

Discussion

9105.	A certain sum was borrowed at 15% per annum. If at the end of 2 years, Rs 1,290 was compounded as C.I., then find the sum borrowed.
Answer» A certain sum was borrowed at 15% per annum. If at the end of 2 years, Rs 1,290 was compounded as C.I., then find the sum borrowed.

Discussion

9106.	A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 5 to plough 1 m2 of the field, find the total cost of ploughing the field.
Answer» A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 5 to plough 1 m² of the field, find the total cost of ploughing the field.

Discussion

9107.	y=4x-x^2 maximum value = dy÷ dx=4-2x. HOW?
Answer» y=4x-x^2 maximum value = dy÷ dx=4-2x. HOW?

Discussion

9108.	Factorize 16x²–16y²–16yz–4z²
Answer» Factorize 16x²–16y²–16yz–4z²

Discussion

9109.	Question 48In the following question, fill in the blanks to make the statements true.The usual from of 3.41×106is ___ .
Answer» Question 48 In the following question, fill in the blanks to make the statements true. The usual from of $3.41 \times 10^{6}$ is ___ .

9109.

Question 48In the following question, fill in the blanks to make the statements true.The usual from of 3.41×106is ___ .

Answer»

Question 48

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

The usual from of $3.41 \times 10^{6}$ is ___ .

Discussion

9110.	What is the quotient of x3+3x2−4x−12x2+x−6 ?
Answer» What is the quotient of $\frac{x^{3} + 3 x^{2} - 4 x - 12}{x^{2} + x - 6}$ ?

Discussion

9111.	Prove that every number of the sequence 49, 4489, 44489, 4448889 is a perfect square.
Answer» Prove that every number of the sequence 49, 4489, 44489, 4448889 is a perfect square.

Discussion

9112.	XY=54,X^2+Y^{}=117,then X+Y/X-Y=?
Answer» XY=54,X^2+Y^{}=117,then X+Y/X-Y=?

Discussion

9113.	State whether the statements are True or False. Question 26For fixing a point from the graph sheet we need two coordinates.
Answer» State whether the statements are True or False. Question 26 For fixing a point from the graph sheet we need two coordinates.

Discussion

9114.	“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:What is the mode of the following set of observations?913596991713111213191309132171371790711
Answer» “Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem: What is the mode of the following set of observations? $\begin{matrix} 9 & 13 & 5 & 9 & 6 & 9 & 9 & 17 & 13 & 11 & 12 & 13 & 19 13 & 0 & 9 & 13 & 21 & 7 & 13 & 7 & 17 & 9 & 0 & 7 & 11 \end{matrix}$

9114.

“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:What is the mode of the following set of observations?913596991713111213191309132171371790711

Answer»

“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:

What is the mode of the following set of observations?

$\begin{matrix} 9 & 13 & 5 & 9 & 6 & 9 & 9 & 17 & 13 & 11 & 12 & 13 & 19 13 & 0 & 9 & 13 & 21 & 7 & 13 & 7 & 17 & 9 & 0 & 7 & 11 \end{matrix}$

Discussion

9115.	n^4-4n^3-39n^2+86n+140 (where n is a natural number) is always divisible by 1. 140 2. 35 3. 20 4. None of thes
Answer» n^4-4n^3-39n^2+86n+140 (where n is a natural number) is always divisible by 1. 140 2. 35 3. 20 4. None of thes

Discussion

9116.	Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial x3−3x2+x+2 which gives quotient x−2 and the remainder −2x+4. Find the divisor.
Answer» Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial $x^{3} - 3 x^{2} + x + 2$ which gives quotient $x - 2$ and the remainder $- 2 x + 4$ . Find the divisor.

Discussion

9117.	Question 90 (vii) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. a2y2−2aby+b2
Answer» Question 90 (vii) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $a^{2} y^{2} - 2 a b y + b^{2}$

Discussion

9118.	The cube of xy−1(xy)2=
Answer» The cube of $x y - \frac{1}{(x y)^{2}} =$

Discussion

9119.	Given 5 flags of different colors, how many different signals can be generated, if the use of 2 flags one below the other are required to generate the signal?
Answer» Given $5$ flags of different colors, how many different signals can be generated, if the use of $2$ flags one below the other are required to generate the signal?

Discussion

9120.	Q10/10\quad16t^2-3z^2 can be factorised as
Answer» Q10/10\quad16t^2-3z^2 can be factorised as

Discussion

9121.	An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is(a) 5/84(b) 3/9(c) 3/7(d) 7/17
Answer» An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is (a) 5/84 (b) 3/9 (c) 3/7 (d) 7/17

Discussion

9122.	Question 42Fill in the blanks to make the statements true.(1.2)3= ___
Answer» Question 42 Fill in the blanks to make the statements true. $(1.2)^{3} =$ ___

9122.

Question 42Fill in the blanks to make the statements true.(1.2)3= ___

Answer»

Question 42

Fill in the blanks to make the statements true.

$(1.2)^{3} =$ ___

Discussion

9123.	37 Prove That 107811÷ 3,110778111÷ 3,111077781111÷ 3,__________Are perfect cubes
Answer» 37 Prove That 107811÷ 3,110778111÷ 3,111077781111÷ 3,__________Are perfect cubes

Discussion

9124.	If the wages of 12 workers for 5 days are Rs. 7500, find the wages of 17 workers for 6 days.
Answer» If the wages of 12 workers for 5 days are Rs. 7500, find the wages of 17 workers for 6 days.

Discussion

9125.	Draw triangles with the measures given below.In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m ∠U = 110°
Answer» Draw triangles with the measures given below. In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m ∠U = 110^°

Discussion

9126.	The frequency distributionMarks0−2020−4040−6060−100Number of10152025studentshas been represented graphically as follows:Do you think this representation is correct? Why?
Answer» The frequency distribution $\begin{matrix} Marks & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 100 Number of & 10 & 15 & 20 & 25 students \end{matrix}$ has been represented graphically as follows: Do you think this representation is correct? Why?

Discussion

9127.	Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.
Answer» Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.

Discussion

9128.	Factorise : ab2+(a−1)b−1
Answer» Factorise : $a b^{2} + (a - 1) b - 1$

9128.

Factorise : ab2+(a−1)b−1

Answer»

Factorise :

$a b^{2} + (a - 1) b - 1$

Discussion

9129.	Question 5The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its(a) mean(b) median(c) mode(d) All of these
Answer» Question 5 The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its (a) mean (b) median (c) mode (d) All of these

Discussion

9130.	In Fig. BD and CE are two altitudes of a Δ ABC such that BD = CE. Prove that the ABC is an isoceles triangle. [2 MARKS]
Answer» In Fig. BD and CE are two altitudes of a $Δ$ ABC such that BD = CE. Prove that the ABC is an isoceles triangle. [2 MARKS]

9130.

In Fig. BD and CE are two altitudes of a Δ ABC such that BD = CE. Prove that the ABC is an isoceles triangle. [2 MARKS]

Answer»

In Fig. BD and CE are two altitudes of a $Δ$ ABC such that BD = CE.

Prove that the ABC is an isoceles triangle. [2 MARKS]

Discussion

9131.	An article is marked at Rs. 2,250. By selling it at a discount of 12%. the dealer makes a profit of 10%. Find : (i) the selling price of the article. (ii) the cost price of the article for the dealer.
Answer» An article is marked at Rs. 2,250. By selling it at a discount of 12%. the dealer makes a profit of 10%. Find : (i) the selling price of the article. (ii) the cost price of the article for the dealer.

Discussion

9132.	Identify the front view of the figure shown above.
Answer» Identify the front view of the figure shown above.

9132.

Identify the front view of the figure shown above.

Answer»

Identify the front view of the figure shown above.

Discussion

9133.	Simplify: 4m2−169n22m+13n
Answer» $Simplify: \frac{4 m^{2} - 169 n^{2}}{2 m + 13 n}$

Discussion

9134.	Why is pi equal to 3. 14
Answer» Why is pi equal to 3. 14

Discussion

9135.	Question 140 Find the product of additive inverse and multiplicative inverse of −13
Answer» Question 140 Find the product of additive inverse and multiplicative inverse of $- \frac{1}{3}$

Discussion

9136.	The remainder obtained when y2+7y−5 is divided by y+3 is
Answer» The remainder obtained when $y^{2} + 7 y - 5$ is divided by $y + 3$ is

Discussion

9137.	A machine is bought for Rs.20000 and its depreciation rate is 8% per annum. Find the cost of the machine after 2 years?
Answer» A machine is bought for Rs.20000 and its depreciation rate is 8% per annum. Find the cost of the machine after 2 years?

Discussion

9138.	Ishita invested a sum of Rs. 12000 at 5% per annum compound interest. She received an amount of Rs. 13230 after n years. Find the value of n.
Answer» Ishita invested a sum of Rs. 12000 at $5 %$ per annum compound interest. She received an amount of Rs. 13230 after n years. Find the value of n.

Discussion

9139.	How are mangoes picked from trees?
Answer» How are mangoes picked from trees?

Discussion

9140.	Question 6 (i)A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?
Answer» Question 6 (i) A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?

Discussion

9141.	Factorize: x3−(x−z)3
Answer» Factorize: $x^{3} - (x - z)^{3}$

Discussion

9142.	Find and correct the errors in the following mathematical statements: i.)Substituting x= -4 in x2+6x+4 gives (−4)2;+ 6(-4) + 4 = 16-24+4 = -4 ii.) 3x/(3x+2) = ½
Answer» Find and correct the errors in the following mathematical statements: i.)Substituting x= -4 in $x^{2}$ +6x+4 gives $(- 4)^{2}$ ;+ 6(-4) + 4 = 16-24+4 = -4 ii.) 3x/(3x+2) = ½

9142.

Find and correct the errors in the following mathematical statements: i.)Substituting x= -4 in x2+6x+4 gives (−4)2;+ 6(-4) + 4 = 16-24+4 = -4 ii.) 3x/(3x+2) = ½

Answer»

Find and correct the errors in the following mathematical statements:

i.)Substituting x= -4 in $x^{2}$ +6x+4 gives $(- 4)^{2}$ ;+ 6(-4) + 4 = 16-24+4 = -4

ii.) 3x/(3x+2) = ½

Discussion

9143.	On an article,discount was given 3 times. Firstly 10% , then 10% again and finally 20% more. The price of an article drops to ₹ 6480. Find the Marked Price(MP).
Answer» On an article,discount was given 3 times. Firstly 10% , then 10% again and finally 20% more. The price of an article drops to ₹ 6480. Find the Marked Price(MP).

Discussion

9144.	In a triangle ABC, AB=AC and ∠B = 30∘. Then value of ∠A is .
Answer» In a triangle ABC, $A B = A C$ and $∠$ B = 30 $^{\circ}$ . Then value of $∠ A$ is .

Discussion

9145.	Why is the coefficient of b in (6b^2) 0?
Answer» Why is the coefficient of b in (6b^2) 0?

Discussion

9146.

Calculate the mean for the following frequency distribution: Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 Frequency 3 7 10 6 8 2 4

Answer»

Calculate the mean for the following frequency distribution:

Marks	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	3	7	10	6	8	2	4

Discussion

9147.	A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it? Options :a) A meter scale with least count 0.1 cm Should have chosen b)A vernier calliper where the 10 divisions in vernier scale matches with 9 divisions in main scale and main scale has 10 divisions in 1 cm c) A screw gauge having 100 divisions in the circular scale and pitch as 1 mm d) A screw gauge having 50 divisions in the circular scale and pitch as 1 mm
Answer» A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it? Options :a) A meter scale with least count 0.1 cm Should have chosen b)A vernier calliper where the 10 divisions in vernier scale matches with 9 divisions in main scale and main scale has 10 divisions in 1 cm c) A screw gauge having 100 divisions in the circular scale and pitch as 1 mm d) A screw gauge having 50 divisions in the circular scale and pitch as 1 mm

Discussion

9148.	Add t−t2−14; 15t3+13+9t−8t2;12t2−19−24t and 4t−9t2+19t3. [4 MARKS]
Answer» Add $t - t^{2} - 14;$ $15 t^{3} + 13 + 9 t - 8 t^{2}$ ; $12 t^{2} - 19 - 24 t$ and $4 t - 9 t^{2} + 19 t^{3}$ . [4 MARKS]

Discussion

9149.	Three angles of a quadrilateral are equal. Fourth angle is of measure 150∘. What is the measure of equal angles?
Answer» Three angles of a quadrilateral are equal. Fourth angle is of measure $150^{\circ}$ . What is the measure of equal angles?

Discussion

9150.

Compute the mean of the following frequency distribution: Class 0 − 20 20 − 40 40 − 60 60 − 80 80 − 100 100 – 120 120 – 140 Frequency 6 8 10 12 6 5 3

Answer» Compute the mean of the following frequency distribution:

Class	0 − 20	20 − 40	40 − 60	60 − 80	80 − 100	100 – 120	120 – 140
Frequency	6	8	10	12	6	5	3

Discussion

Explore topic-wise InterviewSolutions in .

Rina and Tina went to the market to buy half a dozen apples and two chocolates. What is the amount (in ₹) they spent if each apple costs ₹x and each chocolate costs ₹y?

Factorise x cube- x square+ 4x + 4

What is the value of 4! ?

A certain sum was borrowed at 15% per annum. If at the end of 2 years, Rs 1,290 was compounded as C.I., then find the sum borrowed.

A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 5 to plough 1 m2 of the field, find the total cost of ploughing the field.

y=4x-x^2 maximum value = dy÷ dx=4-2x. HOW?

Factorize 16x²–16y²–16yz–4z²

Question 48In the following question, fill in the blanks to make the statements true.The usual from of 3.41×106is ___ .

What is the quotient of x3+3x2−4x−12x2+x−6 ?

Prove that every number of the sequence 49, 4489, 44489, 4448889 is a perfect square.

XY=54,X^2+Y^{}=117,then X+Y/X-Y=?

State whether the statements are True or False. Question 26For fixing a point from the graph sheet we need two coordinates.

n^4-4n^3-39n^2+86n+140 (where n is a natural number) is always divisible by 1. 140 2. 35 3. 20 4. None of thes

Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial x3−3x2+x+2 which gives quotient x−2 and the remainder −2x+4. Find the divisor.

Question 90 (vii) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. a2y2−2aby+b2

The cube of xy−1(xy)2=

Given 5 flags of different colors, how many different signals can be generated, if the use of 2 flags one below the other are required to generate the signal?

Q10/10\quad16t^2-3z^2 can be factorised as

An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is(a) 5/84(b) 3/9(c) 3/7(d) 7/17

Question 42Fill in the blanks to make the statements true.(1.2)3= ___

37 Prove That 107811÷ 3,110778111÷ 3,111077781111÷ 3,__________Are perfect cubes

If the wages of 12 workers for 5 days are Rs. 7500, find the wages of 17 workers for 6 days.

Draw triangles with the measures given below.In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m ∠U = 110°

The frequency distributionMarks0−2020−4040−6060−100Number of10152025studentshas been represented graphically as follows:Do you think this representation is correct? Why?

Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.

Factorise : ab2+(a−1)b−1

Question 5The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its(a) mean(b) median(c) mode(d) All of these

In Fig. BD and CE are two altitudes of a Δ ABC such that BD = CE. Prove that the ABC is an isoceles triangle. [2 MARKS]

An article is marked at Rs. 2,250. By selling it at a discount of 12%. the dealer makes a profit of 10%. Find : (i) the selling price of the article. (ii) the cost price of the article for the dealer.

Identify the front view of the figure shown above.

Simplify: 4m2−169n22m+13n

Why is pi equal to 3. 14

Question 140 Find the product of additive inverse and multiplicative inverse of −13

The remainder obtained when y2+7y−5 is divided by y+3 is

A machine is bought for Rs.20000 and its depreciation rate is 8% per annum. Find the cost of the machine after 2 years?

Ishita invested a sum of Rs. 12000 at 5% per annum compound interest. She received an amount of Rs. 13230 after n years. Find the value of n.

How are mangoes picked from trees?

Question 6 (i)A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?

Factorize: x3−(x−z)3

Find and correct the errors in the following mathematical statements: i.)Substituting x= -4 in x2+6x+4 gives (−4)2;+ 6(-4) + 4 = 16-24+4 = -4 ii.) 3x/(3x+2) = ½

On an article,discount was given 3 times. Firstly 10% , then 10% again and finally 20% more. The price of an article drops to ₹ 6480. Find the Marked Price(MP).

In a triangle ABC, AB=AC and ∠B = 30∘. Then value of ∠A is .

Why is the coefficient of b in (6b^2) 0?

Calculate the mean for the following frequency distribution: Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 Frequency 3 7 10 6 8 2 4

Add t−t2−14; 15t3+13+9t−8t2;12t2−19−24t and 4t−9t2+19t3. [4 MARKS]

Three angles of a quadrilateral are equal. Fourth angle is of measure 150∘. What is the measure of equal angles?

Compute the mean of the following frequency distribution: Class 0 − 20 20 − 40 40 − 60 60 − 80 80 − 100 100 – 120 120 – 140 Frequency 6 8 10 12 6 5 3