25365 + Interview Questions in Mathematics Page 125 InterviewSolution

6201.	If 5x-2y=17 and 3x+y=8, then find the value of x and y
Answer» If 5x-2y=17 and 3x+y=8, then find the value of x and y

Discussion

6202.

दिनेश चिक सरकाकर बरामदे की ओर भागा।(क) चिक पर्दे का काम करती है पर चिक और पर्दे में फ़र्क होता है। इन दोनों में क्या अंतर है? समूह में चर्चा करो।इसी तरह पता लगाओ कि इन शब्दों में क्या अंतर है?• टहनी-तना• पेड़-पौधा• घूँस-चूहा• मुँडेर-चारदीवारी (ख) चिक सरकंडे से भी बनती है और तीलियों से भी।सरकंडे से और क्या-क्या बनता है? अपने आसपास पता करो और लिखो।

Answer»

दिनेश चिक सरकाकर बरामदे की ओर भागा।

(क) चिक पर्दे का काम करती है पर चिक और पर्दे में फ़र्क होता है। इन दोनों में क्या अंतर है? समूह में चर्चा करो।

इसी तरह पता लगाओ कि इन शब्दों में क्या अंतर है?

• टहनी-तना	• पेड़-पौधा
• घूँस-चूहा	• मुँडेर-चारदीवारी

(ख) चिक सरकंडे से भी बनती है और तीलियों से भी।

सरकंडे से और क्या-क्या बनता है? अपने आसपास पता करो और लिखो।

Discussion

6203.	Divide:5xy2–18x2y3+6xyby6xy
Answer» Divide: $5 x y^{2} - 18 x^{2} y^{3} + 6 x y b y 6 x y$

Discussion

6204.	24. Factorise: p-(p+q)
Answer» 24. Factorise: p-(p+q)

Discussion

6205.	Construct a triangle PQR, whose perimeter is 14 cm and whose sides are in the ratio 2:4:5.
Answer» Construct a triangle PQR, whose perimeter is 14 cm and whose sides are in the ratio 2:4:5.

Discussion

6206.	The volume of a cube is 132651 m3. Find the perimeter of 5 faces of the cube.
Answer» The volume of a cube is 132651 m3 . Find the perimeter of 5 faces of the cube.

Discussion

6207.	Question 35 Match the ordinates of the points given in Column A with the items mentioned in Column B. Column A Column Ba (0,5)(i)Y-coordinate is 2×(X-coordinate)+1.b (2,3)(ii)Coordinates of origin.c (4,8)(iii) Only Y-coordinate is zero.d (3,7)(iv) The distance from X-axis is 5.e (0,0)(v) Y-coordinate is double of X-coordinate.f (5,0)(vi) The distance from Y-axis is 2
Answer» Question 35 Match the ordinates of the points given in Column A with the items mentioned in Column B. $\begin{matrix} C o l u m n A & C o l u m n B a & (0,5) & (i)Y-coordinate is 2 \times (X-coordinate) + 1. b & (2,3) & (ii)Coordinates of origin. c & (4,8) & (iii) Only Y-coordinate is zero. d & (3,7) & (iv) The distance from X-axis is 5. e & (0,0) & (v) Y-coordinate is double of X-coordinate. f & (5,0) & (vi) The distance from Y-axis is 2 \end{matrix}$

Discussion

6208.	The daily earnings (in rupees) of 24 stores in a market was recorded as under : 715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700. Prepare a frequency table taking equal class - sizes. One such class is 500 - 550, where 550 is not included.
Answer» The daily earnings (in rupees) of 24 stores in a market was recorded as under : 715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700. Prepare a frequency table taking equal class - sizes. One such class is 500 - 550, where 550 is not included.

6208.

The daily earnings (in rupees) of 24 stores in a market was recorded as under : 715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700. Prepare a frequency table taking equal class - sizes. One such class is 500 - 550, where 550 is not included.

Answer»

The daily earnings (in rupees) of 24 stores in a market was recorded as under :

715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700.

Prepare a frequency table taking equal class - sizes. One such class is 500 - 550, where 550 is not included.

Discussion

6209.	{ Find the coordinates of points on the line joining the point }P(3,-4) and }Q(-2,5) that is }}{ Prove that }:-(4,-1),(6,0),(7,2) and }(5,1) are the vertices of a rhombus. Is it a square?
Answer» { Find the coordinates of points on the line joining the point }P(3,-4) and }Q(-2,5) that is }}{ Prove that }:-(4,-1),(6,0),(7,2) and }(5,1) are the vertices of a rhombus. Is it a square?

Discussion

6210.	Select an appropriate pronoun for the blank. ____ need to confirm your date of departure in advance.
Answer» Select an appropriate pronoun for the blank. ____ need to confirm your date of departure in advance.

6210.

Select an appropriate pronoun for the blank. ____ need to confirm your date of departure in advance.

Answer»

Select an appropriate pronoun for the blank.

____ need to confirm your date of departure in advance.

Discussion

6211.	64^1/2
Answer» 64^1/2

Discussion

6212.	Question 8Which of the following figures satisfy the following property?- Only one pair of sides are parallel.
Answer» Question 8 Which of the following figures satisfy the following property? - Only one pair of sides are parallel.

Discussion

6213.	In the sentences below the capital letters, commas, full stops and question marks are missing. Put these in the correct places.(a) on monday i will go to school__________________________________________________(b) rahim ravi and raju are going to see the circus__________________________________________________(c) sita where are you looking__________________________________________________(d) the tailor went to the market mr singh__________________________________________________(e) every sunday i go for a walk have breakfast read story books listen to music and watch television__________________________________________________(f) laxmi why are you crying___________________________________________________(g) what is the colour of the sky__________________________________________________(h) oranges mangoes bananas and papayas are fruits___________________________________________________
Answer» In the sentences below the capital letters, commas, full stops and question marks are missing. Put these in the correct places. (a) on monday i will go to school __________________________________________________ (b) rahim ravi and raju are going to see the circus __________________________________________________ (c) sita where are you looking __________________________________________________ (d) the tailor went to the market mr singh __________________________________________________ (e) every sunday i go for a walk have breakfast read story books listen to music and watch television __________________________________________________ (f) laxmi why are you crying ___________________________________________________ (g) what is the colour of the sky __________________________________________________ (h) oranges mangoes bananas and papayas are fruits ___________________________________________________

Discussion

6214.	Which of the following expression is equivalent to 2.45× 106 sq ft?
Answer» Which of the following expression is equivalent to $2.45 \times 10^{6}$ sq ft?

Discussion

6215.	The table below contains different sports and the number of people who like it. If a person likes football, he makes an entry in the table as football and so on.SportsNumber of EntriesFootball10Badminton11Volley Ball15Cricket25Basket Ball20What is the frequency of the sport volleyball in the table?
Answer» The table below contains different sports and the number of people who like it. If a person likes football, he makes an entry in the table as football and so on. $\begin{matrix} Sports & Number of Entries Football & 10 Badminton & 11 Volley Ball & 15 Cricket & 25 Basket Ball & 20 \end{matrix}$ What is the frequency of the sport volleyball in the table?

Discussion

6216.	After offering a discount of 20% , the SP of a cooking pan is ₹ 200, Find the Marked Price (MP).
Answer» After offering a discount of 20% , the SP of a cooking pan is ₹ 200, Find the Marked Price (MP).

Discussion

6217.	Find the sum of(11x2−8x+4) and (6x2+7x−10).
Answer» $Find the sum of$ $(11 x^{2} - 8 x + 4) and (6 x^{2} + 7 x - 10) .$

Discussion

6218.	The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?
Answer» The product of two rational numbers is $\frac{- 9}{16}$ . If one of the numbers is $\frac{- 4}{3}$ , what is the other number?

Discussion

6219.	Find the least square number which is exactly divisible by each of the numbers 8, 12, 15 and 20.
Answer» Find the least square number which is exactly divisible by each of the numbers 8, 12, 15 and 20.

Discussion

6220.	The arc length of a quarter circle with radius r and diameter d can be written as
Answer» The arc length of a quarter circle with radius $r$ and diameter $d$ can be written as

Discussion

6221.	2 pipes P and Q can fill a tank in 18 hours and 22.5 hours respectively. If both are opened simultaneously, how much time will be taken to fill the tank?
Answer» 2 pipes P and Q can fill a tank in 18 hours and 22.5 hours respectively. If both are opened simultaneously, how much time will be taken to fill the tank?

Discussion

6222.	Question 7Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way.Class intervalFrequency(km/h)30−40340−50650−602560−706570−805080−902890−10014Draw a histogram and frequency polygon representing the data above.
Answer» Question 7 Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way. $\begin{matrix} Class interval & Frequency (km/h) 30 - 40 & 3 40 - 50 & 6 50 - 60 & 25 60 - 70 & 65 70 - 80 & 50 80 - 90 & 28 90 - 100 & 14 \end{matrix}$ Draw a histogram and frequency polygon representing the data above.

Discussion

6223.	In the figure, ABCD is parallelogram in which ∠ADC=105∘. The value of ∠CBE is
Answer» In the figure, ABCD is parallelogram in which $∠ A D C = 105^{\circ} .$ The value of $∠ C B E$ is

Discussion

6224.	Question 86 (vii)Using suitable identities, evaluate the following:47×53
Answer» Question 86 (vii) Using suitable identities, evaluate the following: $47 \times 53$

6224.

Question 86 (vii)Using suitable identities, evaluate the following:47×53

Answer»

Question 86 (vii)

Using suitable identities, evaluate the following:

$47 \times 53$

Discussion

6225.	Simplify the expression:12pq(2p+3q)2−(2p−3q)2
Answer» Simplify the expression: $\frac{12 p q}{(2 p + 3 q)^{2} - (2 p - 3 q)^{2}}$

Discussion

6226.	Two subtracted from one-third of a number gives 40. What is the number?
Answer» Two subtracted from one-third of a number gives 40. What is the number?

6226.

Two subtracted from one-third of a number gives 40. What is the number?

Answer»

Two subtracted from one-third of a number gives 40. What is the number?

Discussion

6227.	Factorise:a2 – b2 – a – b
Answer» Factorise: a²– b² – a – b

Discussion

6228.	A man invests Rs.5,000 for 3 years at a certain rate of interest compounded annually. At the end of 1st year it amounts to Rs.5,600. Calculate
Answer» A man invests Rs.5,000 for 3 years at a certain rate of interest compounded annually. At the end of 1st year it amounts to Rs.5,600. Calculate

Discussion

6229.	25. If 8%vat is included in the price, find the original price of a shampoo bottle bought for RS. 180
Answer» 25. If 8%vat is included in the price, find the original price of a shampoo bottle bought for RS. 180

Discussion

6230.	If z=0.064 , then find the value of (1/z)to the power 1/3.
Answer» If z=0.064 , then find the value of (1/z)to the power 1/3.

Discussion

6231.	A/an is formed by cutting an isosceles triangle along a line parallel to the side of the triangle connecting the equal angles of the triangle.
Answer» A/an is formed by cutting an isosceles triangle along a line parallel to the side of the triangle connecting the equal angles of the triangle.

Discussion

6232.	32. Sunita is making a profit of 25% on her selling price. What is her actual profit percentage ?
Answer» 32. Sunita is making a profit of 25% on her selling price. What is her actual profit percentage ?

Discussion

6233.	If x=5+35-3 and y=5-35+3, then x + y +xy=(a) 9(b) 5(c) 17(d) 7
Answer» If $x = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}$ and $y = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$ , then x + y +xy= (a) 9 (b) 5 (c) 17 (d) 7

Discussion

6234.	If 3x=181, then the value of x is
Answer» If $3^{x} = \frac{1}{81}$ , then the value of $x$ is

Discussion

6235.	Question 91 (ix)Factorise the following:x2−17x+60
Answer» Question 91 (ix) Factorise the following: $x^{2} - 17 x + 60$

Discussion

6236.	In the given figure if ∠ BAC = 60∘, AB = AC = 6cm then find the length of BC.
Answer» In the given figure if $∠$ BAC = $60^{\circ}$ , AB = AC = 6cm then find the length of BC.

6236.

In the given figure if ∠ BAC = 60∘, AB = AC = 6cm then find the length of BC.

Answer»

In the given figure if $∠$ BAC = $60^{\circ}$ , AB = AC = 6cm then find the length of BC.

Discussion

6237.	Find F18 if FX is equal to X raise to power 19 - 19 X raise to power 18 + 18 x raise to power 17 + X raise to power 5 - 19 X raise to power 4 + 18 x raise to power 3 minus 17
Answer» Find F18 if FX is equal to X raise to power 19 - 19 X raise to power 18 + 18 x raise to power 17 + X raise to power 5 - 19 X raise to power 4 + 18 x raise to power 3 minus 17

Discussion

6238.	Question 6 (i)Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is:(i) Compounded annually
Answer» Question 6 (i) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after $1 \frac{1}{2}$ Years if the interest is: (i) Compounded annually

Discussion

6239.	What information is given by the bar graph? [1 MARK]
Answer» What information is given by the bar graph? [1 MARK]

6239.

What information is given by the bar graph? [1 MARK]

Answer»

What information is given by the bar graph? [1 MARK]

Discussion

6240.	The smallest natural number which is a perfect square and which ends in three identical digits lies between 2000 and 3000. State true or fasle with reason
Answer» The smallest natural number which is a perfect square and which ends in three identical digits lies between 2000 and 3000. State true or fasle with reason

Discussion

6241.	The lateral surface area of a cube of side a is ______ .
Answer» The lateral surface area of a cube of side a is ______ .

Discussion

6242.	Solve the following determinant equations:(i) x+abcax+bcabx+c=0(ii) x+axxxx+axxxx+a=0, a≠0(iii) 3x-83333x-83333x-8=0(iv) 1xx21aa21bb2=0, a≠b(v) x+1352x+2523x+4=0(vi) 1xx31bb31cc3=0, b≠c(vii) 15-2x11-3x7-x111714101613=0(viii) 11xp+1p+1p+x3x+1x+2=0(ix) 3-2sin3θ-78cos2θ-11142=0(x) 4-x4+x4+x4+x4-x4+x4+x4+x4+x=0
Answer» Solve the following determinant equations: (i) $\|\begin{matrix} x + a & b & c \\ a & x + b & c \\ a & b & x + c \end{matrix}\| = 0$ (ii) $\|\begin{matrix} x + a & x & x \\ x & x + a & x \\ x & x & x + a \end{matrix}\| = 0, a \neq 0$ (iii) $\|\begin{matrix} 3 x - 8 & 3 & 3 \\ 3 & 3 x - 8 & 3 \\ 3 & 3 & 3 x - 8 \end{matrix}\| = 0$ (iv) $\|\begin{matrix} 1 & x & x^{2} \\ 1 & a & a^{2} \\ 1 & b & b^{2} \end{matrix}\| = 0, a \neq b$ (v) $\|\begin{matrix} x + 1 & 3 & 5 \\ 2 & x + 2 & 5 \\ 2 & 3 & x + 4 \end{matrix}\| = 0$ (vi) $\|\begin{matrix} 1 & x & x^{3} \\ 1 & b & b^{3} \\ 1 & c & c^{3} \end{matrix}\| = 0, b \neq c$ (vii) $\|\begin{matrix} 15 - 2 x & 11 - 3 x & 7 - x \\ 11 & 17 & 14 \\ 10 & 16 & 13 \end{matrix}\| = 0$ (viii) $\|\begin{matrix} 1 & 1 & x \\ p + 1 & p + 1 & p + x \\ 3 & x + 1 & x + 2 \end{matrix}\| = 0$ (ix) $\|\begin{matrix} 3 & - 2 & \sin (3 θ) \\ - 7 & 8 & \cos (2 θ) \\ - 11 & 14 & 2 \end{matrix}\| = 0$ (x) $\|\begin{matrix} 4 - x & 4 + x & 4 + x \\ 4 + x & 4 - x & 4 + x \\ 4 + x & 4 + x & 4 + x \end{matrix}\| = 0$

Discussion

6243.	Which of the following are algebraic expressions?
Answer» Which of the following are algebraic expressions?

Discussion

6244.	Soham borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___
Answer» Soham borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___

Discussion

6245.	Question 7It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?
Answer» Question 7 It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Discussion

6246.	The following table shows the population and worker population ratio for India in 1999-2000. Can you estimate the workforce (rural and urban) for India? RegionEstimates ofWorker PopulationEstimated Number Population Ratio of Workers in crores (in crores)Rural71.8841.971.88100×41.9=30.12Urban28.5233.7?Total100.4039.5?
Answer» The following table shows the population and worker population ratio for India in 1999-2000. Can you estimate the workforce (rural and urban) for India? $\begin{matrix} Region & Estimates of & Worker Population & Estimated Number Population & Ratio & of Workers in crores & (in crores) Rural & 71.88 & 41.9 & \frac{71.88}{100} \times 41.9 = 30.12 Urban & 28.52 & 33.7 & ? Total & 100.40 & 39.5 & ? \end{matrix}$

6246.

The following table shows the population and worker population ratio for India in 1999-2000. Can you estimate the workforce (rural and urban) for India? RegionEstimates ofWorker PopulationEstimated Number Population Ratio of Workers in crores (in crores)Rural71.8841.971.88100×41.9=30.12Urban28.5233.7?Total100.4039.5?

Answer»

The following table shows the population and worker population ratio for India in 1999-2000. Can you estimate the workforce (rural and urban) for India?

$\begin{matrix} Region & Estimates of & Worker Population & Estimated Number Population & Ratio & of Workers in crores & (in crores) Rural & 71.88 & 41.9 & \frac{71.88}{100} \times 41.9 = 30.12 Urban & 28.52 & 33.7 & ? Total & 100.40 & 39.5 & ? \end{matrix}$

Discussion

6247.	Find the least number that must ne added to 1500 so as to get a perfect square.
Answer» Find the least number that must ne added to 1500 so as to get a perfect square.

Discussion

6248.	From the following figure, choose the correct pair of corresponding angles.
Answer» From the following figure, choose the correct pair of corresponding angles.

Discussion

6249.	If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.
Answer» If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.

Discussion

6250.	Construct ΔPQR, given ¯¯¯¯¯¯¯¯PQ=3.5 cm,¯¯¯¯¯¯¯¯PR=3 cm, and ∠RPQ=120∘
Answer» Construct $Δ P Q R$ , given $¯ ¯¯¯¯¯¯ ¯ P Q = 3.5 c m, ¯ ¯¯¯¯¯¯ ¯ P R = 3 c m$ , and $∠ R P Q = 120^{\circ}$

Discussion

Explore topic-wise InterviewSolutions in .

If 5x-2y=17 and 3x+y=8, then find the value of x and y

Divide:5xy2–18x2y3+6xyby6xy

24. Factorise: p-(p+q)

Construct a triangle PQR, whose perimeter is 14 cm and whose sides are in the ratio 2:4:5.

The volume of a cube is 132651 m3. Find the perimeter of 5 faces of the cube.

{ Find the coordinates of points on the line joining the point }P(3,-4) and }Q(-2,5) that is }}{ Prove that }:-(4,-1),(6,0),(7,2) and }(5,1) are the vertices of a rhombus. Is it a square?

Select an appropriate pronoun for the blank. ____ need to confirm your date of departure in advance.

64^1/2

Question 8Which of the following figures satisfy the following property?- Only one pair of sides are parallel.

Which of the following expression is equivalent to 2.45× 106 sq ft?

The table below contains different sports and the number of people who like it. If a person likes football, he makes an entry in the table as football and so on.SportsNumber of EntriesFootball10Badminton11Volley Ball15Cricket25Basket Ball20What is the frequency of the sport volleyball in the table?

After offering a discount of 20% , the SP of a cooking pan is ₹ 200, Find the Marked Price (MP).

Find the sum of(11x2−8x+4) and (6x2+7x−10).

The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?

Find the least square number which is exactly divisible by each of the numbers 8, 12, 15 and 20.

The arc length of a quarter circle with radius r and diameter d can be written as

2 pipes P and Q can fill a tank in 18 hours and 22.5 hours respectively. If both are opened simultaneously, how much time will be taken to fill the tank?

Question 7Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way.Class intervalFrequency(km/h)30−40340−50650−602560−706570−805080−902890−10014Draw a histogram and frequency polygon representing the data above.

In the figure, ABCD is parallelogram in which ∠ADC=105∘. The value of ∠CBE is

Question 86 (vii)Using suitable identities, evaluate the following:47×53

Simplify the expression:12pq(2p+3q)2−(2p−3q)2

Two subtracted from one-third of a number gives 40. What is the number?

Factorise:a2 – b2 – a – b

A man invests Rs.5,000 for 3 years at a certain rate of interest compounded annually. At the end of 1st year it amounts to Rs.5,600. Calculate

25. If 8%vat is included in the price, find the original price of a shampoo bottle bought for RS. 180

If z=0.064 , then find the value of (1/z)to the power 1/3.

A/an is formed by cutting an isosceles triangle along a line parallel to the side of the triangle connecting the equal angles of the triangle.

32. Sunita is making a profit of 25% on her selling price. What is her actual profit percentage ?

If x=5+35-3 and y=5-35+3, then x + y +xy=(a) 9(b) 5(c) 17(d) 7

If 3x=181, then the value of x is

Question 91 (ix)Factorise the following:x2−17x+60

In the given figure if ∠ BAC = 60∘, AB = AC = 6cm then find the length of BC.

Find F18 if FX is equal to X raise to power 19 - 19 X raise to power 18 + 18 x raise to power 17 + X raise to power 5 - 19 X raise to power 4 + 18 x raise to power 3 minus 17

Question 6 (i)Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is:(i) Compounded annually

What information is given by the bar graph? [1 MARK]

The smallest natural number which is a perfect square and which ends in three identical digits lies between 2000 and 3000. State true or fasle with reason

The lateral surface area of a cube of side a is ______ .

Which of the following are algebraic expressions?

Soham borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___

Question 7It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Find the least number that must ne added to 1500 so as to get a perfect square.

From the following figure, choose the correct pair of corresponding angles.

If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.

Construct ΔPQR, given ¯¯¯¯¯¯¯¯PQ=3.5 cm,¯¯¯¯¯¯¯¯PR=3 cm, and ∠RPQ=120∘