332354 + Interview Questions in Secondary School in Math

1.	If sin theta +cos theta= p and sec theta +cosec theta =q show that q [p square-1]=2p
Answer» HEY FRIEND here is the ANSWER

Discussion

2.	If k,2k+2,3k+3,......are G.P then find common ratio of G.P
Answer» Its easy see 2k+2/k = 3k+3/2k+2. as it is a gp so 2k+2×2k+2 = 3k^2 + 3k 4k^2 + 8K + 4 = 3k^2 + 3k k^2 + 5K +4 =0 so k= -1 or -4 so ratio is easy to find keep values of k and take any TWO consecutive terms in ratio

Discussion

3.	If X + 1 by x is equal to 3 then x cube + 1 by x cube is equal to what
Answer» Hello !! X + 1/X = 3 Cubing on both sides, ( X + 1/X )³ = (3)³ Using identity , ( A + B)³ = (A)³ + (B)³ + 3AB ( A + B ). ( X )³ + 1/X³ + 3X × 1/X ( X + 1/X ) = 27 X³ + 1/X³ + 3 × 3 = 27 X³ + 1/X³ = 27 - 9 X³ + 1/X³ = 18.

Discussion

4.	A journey of 124km costs ₹1395.how much will a journey of 240km cost?
Answer» 124km=1395 1km=1395/124 so, 240km=rs 1395/124 X 240 240km=rs2,700

Discussion

5.	What is the root of 784
Answer» Hiii frnd ...... hyy here is your ANSWER..... $\sqrt{784}$ ====28..... HOPE my answer HELPS you....

Discussion

6.	The sum of 3 terms of an ap 27sum of their square is 293 find those numbers
Answer» Sum of 3 terms of AP is 27 so, a +(a+d)+(a+2d) = 27 3a + 3d = 27 3(a+d) = 27 a+d = 27/3 a+d = 9.......(a) where a = 9 - d d = 9-a taking SQUARE on both sides in (a) so, (a+d)² = 9² a² + d² + 2AD = 81 a² + d² = 81 - 2ad..........(1) sum of their squares is 293 so, a² + (a+d)² + (a+2d)² = 293 a² + (a+d)² + ((a+d)+d)² = 293 a² + 9² + (9+d)² = 293 a² + 81 + 81 + 18d + d² = 293 a² +162 + 18d + d² = 293 a² + 18d + d² = 293 - 162 a² + 18d + d² = 131 a² + d² = 131 - 18d........(2) equate (1) and (2) 81 - 2ad = 131 - 18d 18d - 2ad = 131 - 81 2d(9 - a) = 50 2d(d) = 50 d² = 50/2 d² = 25 d = 5 a = 9 - 5 = 4 checking whether the ANSWER is correct or not: substitute a and d value in a + (a+d) + (a +2d) = 27 4 + (4+5) + (4+2*5) = 27 4+9+14 = 27 27 = 27 hence a and values are correct so, the three values are 4, 9, 14 #mark as brainliest

Discussion

7.	If Sn=1+3+6+10+...+n(n+1)/2 then Sn is
Answer» HEY FRIEND, HARISH here. Here is your ANSWER. $\mathrm{S_n = 1+3+6+...\frac{n(n+1)}{2}} \\ \\ \sum\limits_{k=1}^n\Bigl( \frac{k(k+1)}{2} \Bigr) = \frac{1}{2} \sum\limits_{k=1}^n\Bigl( k^2 + k \Bigr ) \\ \\ \\ \implies \frac{1}{2} \sum\limits_{k=1}^n\Bigl( k^2 \Bigr ) + \sum\limits_{k=1}^n\Bigl( k \Bigr) \\ \\ \\ \implies \frac{1}{2} \Bigl( \frac{n\left(n+1\right)\left(2n+1\right)}{6}+\frac{n\left(n+1\right)}{2} \Bigr) \\ \\ \\ \implies \frac{1}{2} \Bigl( \frac{n\left(n+1\right)\left(n+2\right)}{3} \Bigr) \\ \\ \\ \boxed{\bold{\frac{n(n+1)(n+2)}{6}}}$ ________________________________________________ Hope my answer is HELPFUL to you.

7.

If Sn=1+3+6+10+...+n(n+1)/2 then Sn is

Answer»

HEY FRIEND, HARISH here.

Here is your ANSWER.

$\mathrm{S_n = 1+3+6+...\frac{n(n+1)}{2}} \\ \\ \sum\limits_{k=1}^n\Bigl( \frac{k(k+1)}{2} \Bigr) = \frac{1}{2} \sum\limits_{k=1}^n\Bigl( k^2 + k \Bigr ) \\ \\ \\ \implies \frac{1}{2} \sum\limits_{k=1}^n\Bigl( k^2 \Bigr ) + \sum\limits_{k=1}^n\Bigl( k \Bigr) \\ \\ \\ \implies \frac{1}{2} \Bigl( \frac{n\left(n+1\right)\left(2n+1\right)}{6}+\frac{n\left(n+1\right)}{2} \Bigr) \\ \\ \\ \implies \frac{1}{2} \Bigl( \frac{n\left(n+1\right)\left(n+2\right)}{3} \Bigr) \\ \\ \\ \boxed{\bold{\frac{n(n+1)(n+2)}{6}}}$

________________________________________________

Hope my answer is HELPFUL to you.

Discussion

8.	If t^2-4t+1=0 then the value of t^3+1/t^3 is
Answer» SEE the ATTACHMENT for DETAIL solution Hope it will HELP you

Discussion

9.	The ratio between two numbers is 3: 4. If each number is increased by 2, then ratio becomes 7:9. Hence the numbers (A) 24, 32 (B) 12, 16 (C) 6, 8 (D) 16, 12
Answer» Let the COMMON be x A/q 3x+2÷ 4x+2 = 7/9 27x+18= 28x+14 X = 4 Hence the NUMBERS are... 34=12 And 44= 16 HOPE THIS WILL HELP U ♥️ PLEASE MARK AS BRAINLIST ♥️

Discussion

10.	If the rate of notebooks is ₹ 240 per dozen, what is the cost of 3 notebooks? Also find the cost of 9 notebooks ; 24 notebooks and 50 notebooks and complete the following table.Number of notebooks (x) 12 3 9 24 50 1Cost (In Rupees) (y) 240 20 ... ... ... ...
Answer» Dear STUDENT, Solution: Rate of notebooks per dozen = 240 Rs. We know that number of notebook in one dozen is 12. To solve the question ,first calculate the cost of one notebook . if 12 notebook has PURCHASED in 240 rupees then 1 notebook is purchased in= 240/12 = 20 Rupees Now cost of 3 notebooks = 3 X 20 = 60 Rupees Now cost of 9 notebooks = 9 X 20 = 180 Rupees Now cost of 24 notebooks = 24 X 20 = 480 Rupees Now cost of 50 notebooks = 50 X 20 = 1000 Rupees Find Table in attachment. first column shows number of notebooks,second column shows amount in rupees. hope it helps you.

10.

If the rate of notebooks is ₹ 240 per dozen, what is the cost of 3 notebooks? Also find the cost of 9 notebooks ; 24 notebooks and 50 notebooks and complete the following table.Number of notebooks (x) 12 3 9 24 50 1Cost (In Rupees) (y) 240 20 ... ... ... ...

Answer»

Dear STUDENT,

Solution:

Rate of notebooks per dozen = 240 Rs.

We know that number of notebook in one dozen is 12.

To solve the question ,first calculate the cost of one notebook .

if 12 notebook has PURCHASED in 240 rupees

then 1 notebook is purchased in= 240/12

= 20 Rupees

Now cost of 3 notebooks = 3 X 20

= 60 Rupees

Now cost of 9 notebooks = 9 X 20

= 180 Rupees

Now cost of 24 notebooks = 24 X 20

= 480 Rupees

Now cost of 50 notebooks = 50 X 20

= 1000 Rupees

Find Table in attachment.

first column shows number of notebooks,second column shows amount in rupees.

hope it helps you.

Discussion

11.	For all real values of course, the pair of equations, x-2y=8 and 5x-10y=c, have a unique solution. Justify whether it is true or false.
Answer» Answer: The STATEMENT given is false. Step-by-step explanation: Given : For all real values of COURSE, the pair of equations, $x-2y=8,5x-10y=c$ have a unique solution. To find : Justify whether it is TRUE or false. Solution : When the system of equation is in FORM $ax+by+c=0, dx+ey+f=0$ then the condition for unique SOLUTIONS is $\frac{a}{d}\neq \frac{b}{e}$ Compare the equations, a=1 , b=-2 , c=-8 , d=5, e=-10, f=-c Substituting the values, $\frac{a}{d}=\frac{1}{5}$ $\frac{b}{e}=\frac{-2}{-10}=\frac{1}{5}$ So, $\frac{a}{d}=\frac{b}{e}$ The given equations are not having unique solutions. Therefore, The statement given is false.

11.

For all real values of course, the pair of equations, x-2y=8 and 5x-10y=c, have a unique solution. Justify whether it is true or false.

Answer»

Answer:

The STATEMENT given is false.

Step-by-step explanation:

Given : For all real values of COURSE, the pair of equations, $x-2y=8,5x-10y=c$ have a unique solution.

To find : Justify whether it is TRUE or false.

Solution :

When the system of equation is in FORM $ax+by+c=0, dx+ey+f=0$ then the condition for unique SOLUTIONS is

$\frac{a}{d}\neq \frac{b}{e}$

Compare the equations, a=1 , b=-2 , c=-8 , d=5, e=-10, f=-c

Substituting the values,

$\frac{a}{d}=\frac{1}{5}$

$\frac{b}{e}=\frac{-2}{-10}=\frac{1}{5}$

So, $\frac{a}{d}=\frac{b}{e}$

The given equations are not having unique solutions.

Therefore, The statement given is false.

Discussion

12.	Roohi travels300km to her home partly by train and partly by bus. She takes4hrs if she travels 60km by train and the remaining by bus. If she travels 100km by train and the remaining by bus, she takes10min longer. Find the speed of the train and the bus separately
Answer» HOPE it will HELP you... PLS make it a brainliest ANS......

Discussion

13.	the selling price of a motorcycle inclusive of all taxes is₹38,520. if the sales tax is charged at the rate of 7% of the cost price , find the list price of the motorcycle
Answer» Selling PRICE of TV is 107% = 38520 then the LIST price of MOTORCYCLE 100% = 38520/107100 = 360100 = 36000

Discussion

14.	In the given figure if x:y=2:3,find the value of x and y.
Answer» Let the ratio be ( 2a and 3A ) We KNOW, SUM of all angles on a straight line = 180 2a + 3a =180 5A = 180 a = 180/5 a = 36 Hence, X = 2(a) = 2(36) = 72 y = 3(a) = 3(36) = 108

14.

In the given figure if x:y=2:3,find the value of x and y.

Answer»

Let the ratio be ( 2a and 3A )

We KNOW, SUM of all angles on a straight line = 180

2a + 3a =180

5A = 180

a = 180/5

a = 36

Hence,

X = 2(a)

= 2(36)

= 72

y = 3(a)

= 3(36)

= 108

Discussion

15.	Draw the perpendicular bisector of xy whose length is 10.3 cm
Answer» Draw AB =10.3cm open compass more than half of 10.3 CM and draw two an arc UPWARD and downward from A and B join the intersection points of arc

Discussion

16.	When Sn denotes n. Then show that S12=3(S8-S4)
Answer» HEYA mate here is your answer I HOPE this will HELP you...✌️✌️ thank you:-)

Discussion

17.	Devide x3-3x2-9x-5 by x+1
Answer» Here is a right ANSWER to your question..hope it will HELP you and PLEASE MARK my answer as brainliest thank you SOO much..☺️

Discussion

18.	Simplify 73×73×73+27×27×27÷ 73×73-73×27+27×27
Answer» The SIMPLIFICATION is 407458 HOPE it helps u PLZ mark as BRAINLIEST

Discussion

19.	Five years ago, the total of the ages of a father and his son was 40 years. The ratio of their present ages is 4 : 1. What is the present age of the father ?
Answer» GIVEN, 5years ago x+y=40 now , x +y = 4:1 4X , 1x 4x+1x= 40+5 5x= 45 x =45/5 x= 9 4x=36 NOW , THE SON IS 9 YEARS OLD AND THE FATHER IS 36 YEARS OLD

Discussion

20.	Evaluate each of the following in term of X and Y,if it is given X=log2power 3 and Y=log2 power 5.1)Log2 power 60
Answer» HEY!!!! SORRY i DONT KNOW

Discussion

21.	Represent 5+root 2 on number line Represent 5+root2on number line
Answer» Here is the ANSWER..in PIC

Discussion

22.	The landscape is an inner one, a spiritual and a conceptual space. Explain.
Answer» ahoy! ____ CREATIVITY is the force which can discipline the limitless freedom of human mind. With this exchange, we reconcile our insignificance with the omnipotence. We fuse this knowledge to moments within the present, the traditions within the contemporary, the change within permanence, the speculative within the reasoned and the mental within the material. Resolving all these contradictions allows a person to enter a state of self-awareness which helps him to understand the true meaning which lay BEYOND the concrete world. A good piece of art is never confined to the mind of the artist. It has the life of its own. It remains alive even after the artist is dead and forgotten. The artist gives dimensions to his ingenuity through his art which he wants a spectator to view and infer according to his own perceptions. The artist thus leaves spaces for viewers so that they can participate in it both PHYSICALLY and mentally. I certainly THINK that every artist wishes to become such a contributing force to art that whenever a spectator views his art it WOULD have left a deep impact on his heart. ______________________________________________________________ good life...

22.

The landscape is an inner one, a spiritual and a conceptual space. Explain.

Answer»

ahoy!

____

CREATIVITY is the force which can discipline the limitless freedom of human mind. With this exchange, we reconcile our insignificance with the omnipotence. We fuse this knowledge to moments within the present, the traditions within the contemporary, the change within permanence, the speculative within the reasoned and the mental within the material. Resolving all these contradictions allows a person to enter a state of self-awareness which helps him to understand the true meaning which lay BEYOND the concrete world.

A good piece of art is never confined to the mind of the artist. It has the life of its own. It remains alive even after the artist is dead and forgotten. The artist gives dimensions to his ingenuity through his art which he wants a spectator to view and infer according to his own perceptions. The artist thus leaves spaces for viewers so that they can participate in it both PHYSICALLY and mentally.

I certainly THINK that every artist wishes to become such a contributing force to art that whenever a spectator views his art it WOULD have left a deep impact on his heart.

______________________________________________________________

good life...

Discussion

23.	In the adjoining figure three coplanar lines AB, CD, EF intersect at a point O, forming angles as shown. Find the value of x , y, ,z, t.
Answer» Answer: $x={40}^{o}, y={40}^{o}, z={50}^{o}, t={90}^{o}$ SOLUTION: When two lines intersect, the angles that are vertically OPPOSITE will be equal Hence $\angle BOC=\angle AOD$ ${ 90 }^{ o }=t$ $\angle DOF= \angle EOC$ $Z= {50}^{o}$ Since AB is a STRAIGHT LINE, $\angle AOE + \angle EOC + \angle COB={180}^{o}$ $X + {50}^{o} + {90}^{o} = {180}^{o}$ $X = 180 - 140 = {40}^{o}$ As x and y are opposite vertical angles, $x=y={40}^{o}$ THEREFORE, $x={40}^{o}, y={40}^{o}, z={50}^{o}, t={90}^{o}$

23.

In the adjoining figure three coplanar lines AB, CD, EF intersect at a point O, forming angles as shown. Find the value of x , y, ,z, t.

Answer»

Answer:

$x={40}^{o}, y={40}^{o}, z={50}^{o}, t={90}^{o}$

SOLUTION:

When two lines intersect, the angles that are vertically OPPOSITE will be equal

Hence $\angle BOC=\angle AOD$

${ 90 }^{ o }=t$

$\angle DOF= \angle EOC$

$Z= {50}^{o}$

Since AB is a STRAIGHT LINE,

$\angle AOE + \angle EOC + \angle COB={180}^{o}$

$X + {50}^{o} + {90}^{o} = {180}^{o}$

$X = 180 - 140 = {40}^{o}$

As x and y are opposite vertical angles, $x=y={40}^{o}$

THEREFORE, $x={40}^{o}, y={40}^{o}, z={50}^{o}, t={90}^{o}$

Discussion

24.	How useful are quadrilaterals in dealing real life situation
Answer» A lot of quadrilaterals are used in our daily life. In fact, many of the THINGS we see in our daily life are resembling the regular mathematical shapes like circle, quadrilateral, triangle, etc. Some AMOUNT of fillet or chamfer is given to those mathematical shapes and the products are manufactured. At first let’s understand what quadrilateral is. Quadrilateral is a four-sided polygon having four angles. That includes square, parallelogram, trapezium, kite, etc WITHIN it. Now let’s see where quadrilaterals are used. In ELECTRONIC devices like mobiles, laptops, computers, TVs, etc. In stationery items like books, copies, chart-papers, etc. The list goes countless as we can’t imagine the WORLD without quadrilaterals. Wherever you see four sides, quadrilateral is involved there. From the laptop key I am pressing to the monitor screen I am viewing, quadrilaterals are involved. The laptop which is in rectangle shape sitting on my square-shaped table requires rectangle shaped floor to stand. Pillars supporting floor and roof are not left with quadrilaterals not being involved.

24.

How useful are quadrilaterals in dealing real life situation

Answer»

A lot of quadrilaterals are used in our daily life. In fact, many of the THINGS we see in our daily life are resembling the regular mathematical shapes like circle, quadrilateral, triangle, etc. Some AMOUNT of fillet or chamfer is given to those mathematical shapes and the products are manufactured.

At first let’s understand what quadrilateral is.

Quadrilateral is a four-sided polygon having four angles. That includes square, parallelogram, trapezium, kite, etc WITHIN it.

Now let’s see where quadrilaterals are used.

In ELECTRONIC devices like mobiles, laptops, computers, TVs, etc.

In stationery items like books, copies, chart-papers, etc.

The list goes countless as we can’t imagine the WORLD without quadrilaterals. Wherever you see four sides, quadrilateral is involved there.

From the laptop key I am pressing to the monitor screen I am viewing, quadrilaterals are involved. The laptop which is in rectangle shape sitting on my square-shaped table requires rectangle shaped floor to stand. Pillars supporting floor and roof are not left with quadrilaterals not being involved.

Discussion

25.	Aftab tells his daughter ,"seven years ago I was seven times as old as you were then. Also three years from now I shall be three times as old as you will be . Represent this situation algebrically and graphically.
Answer» PLS SEE the ATTACHED and MARK me as BRAINLIEST

Discussion

26.	Find the HCF of following using long division method 144,98
Answer» Answer of UR QUESTION is given above Hope it will HELP you If you found my answer HELPFUL than pls mark it as brainlist

Discussion

27.	Factorise:a^2+4b^2-3a+6b-4ab
Answer» GET UR SOUTION in the PIC my DEAR

Discussion

28.	the cost of ball pen is rupees 5 less than half of the cost of Fountain pen write this statement as a linear equation in two variables
Answer» LET the cost of the fountain PEN be x The cost of the BALL pen is (x/2)-5 = y x+y = (3x/2)-5 ⇔x/2 - y = 5

Discussion

29.	a number consists of two digits whose sum is 9.if 27 is subtracted from the number its digits are reversed find the number
Answer» Part 1 Initial number let x be the digit in UNIT place therefore the digit in ten's place = 9 - x (* 10)= 90 - 10x Part 2 final number the digits are REVERSED, in unit place = 9 - x in ten's place = x (* 10)= 10x Given, 90-10x + x(sum of digits)=9 90 -9x = 9 90 - 9x - 27=10 + 9 - x 90 - 9x - 27=9x + 9 (transpose) 90 - 27 - 9 = 9x + 9x 54= 18x 54/18 = x 3= x Part 1 initial number unit's place= x=3 ten's place = 9 - x 9-3=6 there fore 63 check: 63-27=36.

Discussion

30.	How to solve i raised to 37 + 1 upon i raised to 67
Answer» I-1/i=i^2-1/i -1-1/i -2I/-1 so your ANS will be +2i

Discussion

31.	How to solve this equation n/5-5/5=2/3
Answer» The VALUE of N will be n/5=2/3+1 n/5=5/3 so value of n will be =25/3

Discussion

32.	Please tell me that this is zero of polynomial or not
Answer» No it's not.. the ZERO of this POLYNOMIAL is pie/5

Discussion

33.	✓3upon9 is rational or irrational
Answer» YUP it's an IRRATIONAL NUMBER :)

Discussion

34.	Convert 25 million to lakh?
Answer» 250 LAKHS......... HOPE it HELPS you

Discussion

35.	Tell me if this ans is correct...
Answer» YES...UR ANSWER is CORRECT

Discussion

36.	A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
Answer» GIVEN, G% = 15% D% = 10% ON MP LET MP = Rs. 100 SP = MP - MP (D%/100) SP = 100 - 100 (10/100) SP = Rs. 90 So, CP = (SP100)/(100+G%) CP = (90100)/(100+15) CP = (9000)/115 CP = 1800/23 CP : MP = (1800/23):100 CP/MP = 1800/2300 CP/MP = 18/23 CP : MP = 18 : 23 Please let me know if the answer is correct.

36.

A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is

Answer»

GIVEN,

G% = 15%

D% = 10% ON MP

LET MP = Rs. 100

SP = MP - MP *(D%/100)

SP = 100 - 100* (10/100)

SP = Rs. 90

So,

CP = (SP*100)/(100+G%)

CP = (90*100)/(100+15)

CP = (9000)/115

CP = 1800/23

CP : MP = (1800/23):100

CP/MP = 1800/2300

CP/MP = 18/23

CP : MP = 18 : 23

Please let me know if the answer is correct.

Discussion

37.	a statue 1.6m tall stands on the top of a pedestal. from a point on the ground the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45° find the height of the pedetsal... (plz answer with the figure)
Answer» HOPE this HELPS you.

Discussion

38.	Add - 30 to the difference of - 9 and - 27.
Answer» HI,, -9-(-27)=27-9=18 Now -30+18=12 Thank U

Discussion

39.	Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS?
Answer» EXTERIOR ANGLE of TRIANGLE QRS has this VALUE

Discussion

40.	A zinc sheet is of length 3.3 m and breadth 3 m. How many pipes of length 30 cm and radius 3.5 cm can be made from this sheet?
Answer» Length of zinc sheet = 3.3 m = 330 cm breadth of zinc sheet = 3m = 300 cm area of zinc sheet = area of rectangle = length × breath = 330 × 300 = 99000 cm² hence, area of zinc sheet = 99000cm² length of PIPE, h = 30cm radius of base of pipe , r = 3.5 cm so, surface area of pipe = 2πrh = 2 × 22/7 × 3.5 × 30 = 2 × 11 × 30 = 660 cm² $\textbf{\underline{number of pipes}}=\frac{\text{area of zinc sheet}}{\text{surface area of pipe}}$ = 99000/660 = 9900/66 = 900/6 = 150 hence, number of pipes = 150

Discussion

41.	If x = (-23)+22+(-23)+22 ____ 40 terms and y = 11+(-10)+11+(-10)+____ 20 terms then y-x is
Answer» -20 is the ANSWER ........

Discussion

42.	How many milligrams are there in 2 kilograms
Answer» 1kg=100×1000=100000mg

Discussion

43.	A hemispherical bowl of internal diameter 36 cm contains liquid and this liquid is filled into 72 bottles of diameter 6 cm. Find the height of bottles if 10 %is wasted on the transfer
Answer» ANSWER: Step-by-step EXPLANATION:

43.

A hemispherical bowl of internal diameter 36 cm contains liquid and this liquid is filled into 72 bottles of diameter 6 cm. Find the height of bottles if 10 %is wasted on the transfer

Answer»

ANSWER:

Step-by-step EXPLANATION:

Discussion

44.	By which smallest number should be 5324 be multiplied so that the product is a perfect cube
Answer» HOPE it HELPS U bro. If require more deep do ask for it.

Discussion

45.	seven villages a b c d e f and g are situated as follows e is 2 km to the west of b. c is 1 km to the west of a. g is 2 km to the east of c. f is 2 km to the north of a. d is 2 km to the south of g. d is exactly in the middle .of b and e. which two villages are the farthest from one another
Answer» Answer: The answer is "the villages F and e are the farthest." Step-by-step explanation: As given in the question, the position of the villages a, b, c, d, e, f and g are shown in the ATTACHED diagram. We can EASILY see from the figure that the villages f and e are at the farthest distance from each other. This distance is MEASURED by the length of line segment fe. We can see that fe is the hypotenuse of the concerned right-angled triangle fes with LEGS of lengths 2 km and 10 km. Therefore, using Pythagoras Theorem, we have $fe^2=sf^2+se^2\\\\\Rightarrow fe^2=2^2+10^2=4+100=104\\\\\Rightarrow fe=2\sqrt{21}.$ Thus, the answer is fe = 2√21 km is the farthest distance.

45.

seven villages a b c d e f and g are situated as follows e is 2 km to the west of b. c is 1 km to the west of a. g is 2 km to the east of c. f is 2 km to the north of a. d is 2 km to the south of g. d is exactly in the middle .of b and e. which two villages are the farthest from one another

Answer»

Answer: The answer is "the villages F and e are the farthest."

Step-by-step explanation: As given in the question, the position of the villages a, b, c, d, e, f and g are shown in the ATTACHED diagram.

We can EASILY see from the figure that the villages f and e are at the farthest distance from each other.

This distance is MEASURED by the length of line segment fe.

We can see that fe is the hypotenuse of the concerned right-angled triangle fes with LEGS of lengths 2 km and 10 km.

Therefore, using Pythagoras Theorem, we have

$fe^2=sf^2+se^2\\\\\Rightarrow fe^2=2^2+10^2=4+100=104\\\\\Rightarrow fe=2\sqrt{21}.$

Thus, the answer is fe = 2√21 km is the farthest distance.

Discussion

46.	120, 80,40,45,?,5 missing term
Answer» Answer : 25 Step-by-step explanation: Given, 120 , 80 , 40 , 45 , ? , 5 this series is the combination of TWO DIFFERENT series .e.g., 120, 80 , 40 and 45, ? , 5 here in 120, 80, 40 are in AP where COMMON difference is -40. so, 45 , ? , 5 should be arithmetic progression. we know, difference between two CONSECUTIVE terms of arithmetic progression always remains same. Let unknown NUMBER is x. then, x - 45 = 5 - x or, x + x = 45 + 5 or, 2x = 50 or, x = 25 hence, required answer is 25.

Discussion

47.	if the difference of two digit number and the number obtained by reversing the digits is 27 find the difference between the digits of the 2 digit number
Answer» Let the TENS place digit be a And unit place be B Number = 10a + b Reversed number = 10b + a (10a +b) - (10b +a) = 27 => 10a +b - 10b - a = 27 => 9a - 9b = 27 => a - b = 3 Difference of DIGITS = 3

Discussion

48.	A television is sold for ₹9360 at a loss of 4%. For how much should it be sold for a gain of 4%
Answer» CP = 9360 ×100/100-4 9750 RS GAIN = 4% SP = 9750×(100+4)/100 10140 rs

Discussion

49.	A stack of 10 bedsheets is 85.5cm high how one bedsheet
Answer» The HEIGHT of 1 BED SHEET = 85.5/10 =8.55cm

Discussion

50.	Circumference of a circle formula
Answer» CIRCUMFERENCE of CIRCLE = 2 * PI * R where pi=3.14 or 22/7

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If sin theta +cos theta= p and sec theta +cosec theta =q show that q [p square-1]=2p

If k,2k+2,3k+3,......are G.P then find common ratio of G.P

If X + 1 by x is equal to 3 then x cube + 1 by x cube is equal to what

A journey of 124km costs ₹1395.how much will a journey of 240km cost?

What is the root of 784

The sum of 3 terms of an ap 27sum of their square is 293 find those numbers

If Sn=1+3+6+10+...+n(n+1)/2 then Sn is

If t^2-4t+1=0 then the value of t^3+1/t^3 is

The ratio between two numbers is 3: 4. If each number is increased by 2, then ratio becomes 7:9. Hence the numbers (A) 24, 32 (B) 12, 16 (C) 6, 8 (D) 16, 12

If the rate of notebooks is ₹ 240 per dozen, what is the cost of 3 notebooks? Also find the cost of 9 notebooks ; 24 notebooks and 50 notebooks and complete the following table.Number of notebooks (x) 12 3 9 24 50 1Cost (In Rupees) (y) 240 20 ... ... ... ...

For all real values of course, the pair of equations, x-2y=8 and 5x-10y=c, have a unique solution. Justify whether it is true or false.

Roohi travels300km to her home partly by train and partly by bus. She takes4hrs if she travels 60km by train and the remaining by bus. If she travels 100km by train and the remaining by bus, she takes10min longer. Find the speed of the train and the bus separately

the selling price of a motorcycle inclusive of all taxes is₹38,520. if the sales tax is charged at the rate of 7% of the cost price , find the list price of the motorcycle

In the given figure if x:y=2:3,find the value of x and y.

Draw the perpendicular bisector of xy whose length is 10.3 cm

When Sn denotes n. Then show that S12=3(S8-S4)

Devide x3-3x2-9x-5 by x+1

Simplify 73×73×73+27×27×27÷ 73×73-73×27+27×27

Five years ago, the total of the ages of a father and his son was 40 years. The ratio of their present ages is 4 : 1. What is the present age of the father ?

Evaluate each of the following in term of X and Y,if it is given X=log2power 3 and Y=log2 power 5.1)Log2 power 60

Represent 5+root 2 on number line Represent 5+root2on number line

The landscape is an inner one, a spiritual and a conceptual space. Explain.

In the adjoining figure three coplanar lines AB, CD, EF intersect at a point O, forming angles as shown. Find the value of x , y, ,z, t.

How useful are quadrilaterals in dealing real life situation

Aftab tells his daughter ,"seven years ago I was seven times as old as you were then. Also three years from now I shall be three times as old as you will be . Represent this situation algebrically and graphically.

Find the HCF of following using long division method 144,98

Factorise:a^2+4b^2-3a+6b-4ab

the cost of ball pen is rupees 5 less than half of the cost of Fountain pen write this statement as a linear equation in two variables

a number consists of two digits whose sum is 9.if 27 is subtracted from the number its digits are reversed find the number

How to solve i raised to 37 + 1 upon i raised to 67

How to solve this equation n/5-5/5=2/3

Please tell me that this is zero of polynomial or not

✓3upon9 is rational or irrational

Convert 25 million to lakh?

Tell me if this ans is correct...

A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is

a statue 1.6m tall stands on the top of a pedestal. from a point on the ground the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45° find the height of the pedetsal... (plz answer with the figure)

Add - 30 to the difference of - 9 and - 27.

Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS?

A zinc sheet is of length 3.3 m and breadth 3 m. How many pipes of length 30 cm and radius 3.5 cm can be made from this sheet?

If x = (-23)+22+(-23)+22 ____ 40 terms and y = 11+(-10)+11+(-10)+____ 20 terms then y-x is

How many milligrams are there in 2 kilograms

A hemispherical bowl of internal diameter 36 cm contains liquid and this liquid is filled into 72 bottles of diameter 6 cm. Find the height of bottles if 10 %is wasted on the transfer

By which smallest number should be 5324 be multiplied so that the product is a perfect cube

seven villages a b c d e f and g are situated as follows e is 2 km to the west of b. c is 1 km to the west of a. g is 2 km to the east of c. f is 2 km to the north of a. d is 2 km to the south of g. d is exactly in the middle .of b and e. which two villages are the farthest from one another

120, 80,40,45,?,5 missing term

if the difference of two digit number and the number obtained by reversing the digits is 27 find the difference between the digits of the 2 digit number

A television is sold for ₹9360 at a loss of 4%. For how much should it be sold for a gain of 4%

A stack of 10 bedsheets is 85.5cm high how one bedsheet

Circumference of a circle formula

If x = (-23)+22+(-23)+22 40 terms and y = 11+(-10)+11+(-10)+ 20 terms then y-x is