81279 + Interview Questions in Mathematics QA in Mathematics

1.	Example 1: Add: (72ab + 21 a'b +53a ) and(-23ab +17a'b +5a)213
Answer» Thank You

Discussion

2.	Add(i) 5a,-3a, 4a(ii)-2b, b,-3b(iii)
Answer» (i) 5a + (-3a) + 4a = 5a (ii) -2b + b + (-3b) = -4b(iv) 6xy² + (-8xy²) + (-3xy²) = -5xy² (v) 4m²n + (-m²n) + (-6m²n) = -3m²n [Add the coefficients and write the variable at the end.]

2.

Add(i) 5a,-3a, 4a(ii)-2b, b,-3b(iii)

Answer»

(i) 5a + (-3a) + 4a = 5a (ii) -2b + b + (-3b) = -4b(iv) 6xy² + (-8xy²) + (-3xy²) = -5xy² (v) 4m²n + (-m²n) + (-6m²n) = -3m²n

[Add the coefficients and write the variable at the end.]

Discussion

3.	lain the Civil Rights Movement in theExUSA.1.
Answer» The civil rights movement was a "freedom struggle" by African Americans in the 1950s and 1960s to gain equality. The goals of the movement were freedom from discrimination; equal opportunity in employment, education, and housing; the right to vote; and equal access to public facilities. Like my answer if you find it useful!

3.

lain the Civil Rights Movement in theExUSA.1.

Answer»

The civil rights movement was a "freedom struggle" by African Americans in the 1950s and 1960s to gain equality.

The goals of the movement were freedom from discrimination; equal opportunity in employment, education, and housing; the right to vote; and equal access to public facilities.

Like my answer if you find it useful!

Discussion

4.	100 TUTUL MIIULUIWILLIOThe sum of Beena's age and one-third ofher mother's age is 26 years. If her motheris 30 years older than Beena, what is thepresent age of Beena?
Answer» Let age of Beens be xThen age of her mother =(x + 30) As per given conditionx + (x + 30)/3 = 26 Take LCM 3x + x + 30 = 26*34x + 30 = 784x = 78 - 30 = 48x = 48/4 = 12 Therefore, age of Beena = 12 years Let age of beena's be x.......and mother be x+30A.C to question.....x+1/3(x+30)=26[as sum of Beena and one third of his mother age is 26]x+1/3x+1/3×30=x+1/3x+10=264x/3+10=264x/3=26-10=16x=16×3/4=4×3=12 This one is more easier......

4.

100 TUTUL MIIULUIWILLIOThe sum of Beena's age and one-third ofher mother's age is 26 years. If her motheris 30 years older than Beena, what is thepresent age of Beena?

Answer»

Let age of Beens be xThen age of her mother =(x + 30)

As per given conditionx + (x + 30)/3 = 26

Take LCM

3x + x + 30 = 26*34x + 30 = 784x = 78 - 30 = 48x = 48/4 = 12

Therefore, age of Beena = 12 years

Let age of beena's be x.......and mother be x+30A.C to question.....x+1/3(x+30)=26[as sum of Beena and one third of his mother age is 26]x+1/3x+1/3×30=x+1/3x+10=264x/3+10=264x/3=26-10=16x=16×3/4=4×3=12

This one is more easier......

Discussion

5.	5. The angle of elevation of a Jet plane from apoint A on the ground is 60°. After a flight of15 seconds, the angle of elevation changes to30. If the Jet plane is flying at constant heightof 1500/3 m. Find the speed of Jet plane in[CBSE March 2012]km/h.
Answer»

Discussion

6.	OS.In the following figure, if AOB is a straight linef ZAOC and ZBOstraight line then find the measures of ZAOC and(3x + 20)(4x - 36)O
Answer» 3 Answer is <Aoc=104 <Boc=76

6.

OS.In the following figure, if AOB is a straight linef ZAOC and ZBOstraight line then find the measures of ZAOC and(3x + 20)(4x - 36)O

Answer»

3

Answer is <Aoc=104 <Boc=76

Discussion

7.	A father is 30 years older than bl.son In 12 years, the man will be three times as old as hissson. Find their present ages.
Answer»

Discussion

8.	19 A father is 30 years older than his son. In 12 years, the man will be three times as old as hisson. Find their present ages.
Answer»

Discussion

9.	19. A father is 30 years older than his son. In 12 years, the man will be three times as old as hisson. Find their present ages
Answer»

Discussion

10.	find the angle between the straight line
Answer» ii) Theangle betweentwo intersectingstraight linesmeans the measure of the acuteangle betweenthelines. (iii) The formula tan θ = ± m2−m11+m1m2 cannot be used tofind the angle betweenthelinesAB and CD, if AB or CD is parallel to y-axis. Since the slope of thelineparallel to y-axis is indeterminate.

Discussion

11.	38. The time taken by Ram to cover 150 kmin one direction was 150 minutes morethan the time in the return journey. If hereturned at a speed of 10 km/h more thanthe speed of onward journey, then findHiU45. Twthe speed of Ram in each direction.GBSE March 2012]
Answer» Let speed of Ram in onward direction = vspeed of Ram in returned direction = v + 10As per given condition150/v - 150/(v+10) = 150/60v +10 - v = v(v+10)60*10 = v^2 + 10vv^2 + 30v - 20v - 600=0v(v+30) - 20(v + 30)=0(v-20)(v+30)=0v = 20, - 30 Speed of Ram in one direction = 20km/hrSpeed of Ram in return direction= v + 10 = 20 + 10 = 30km/hr

11.

38. The time taken by Ram to cover 150 kmin one direction was 150 minutes morethan the time in the return journey. If hereturned at a speed of 10 km/h more thanthe speed of onward journey, then findHiU45. Twthe speed of Ram in each direction.GBSE March 2012]

Answer»

Let speed of Ram in onward direction = vspeed of Ram in returned direction = v + 10As per given condition150/v - 150/(v+10) = 150/60v +10 - v = v(v+10)60*10 = v^2 + 10vv^2 + 30v - 20v - 600=0v(v+30) - 20(v + 30)=0(v-20)(v+30)=0v = 20, - 30

Speed of Ram in one direction = 20km/hrSpeed of Ram in return direction= v + 10 = 20 + 10 = 30km/hr

Discussion

12.	1. Complete the missing entries in the following factor tree :2
Answer»

Discussion

13.	1. Complete the missing entries in the following factor tree2,
Answer»

Discussion

14.	7 Joy bought pens at 120 a dozen. He sold itfor15each.Whatishisprofitpencent?tudu tablo forza 000 She said it at a profit of 20% Howmuch
Answer» Cost of 12 pens(a dozen) = 120selling price of 1 pen = 15selling price of 12 pens = 1215 = 180 profit = sp - cp = 180 - 120 = 60profit % = profit / cp 100= 60/120*100= 50%

14.

7 Joy bought pens at 120 a dozen. He sold itfor15each.Whatishisprofitpencent?tudu tablo forza 000 She said it at a profit of 20% Howmuch

Answer»

Cost of 12 pens(a dozen) = 120selling price of 1 pen = 15selling price of 12 pens = 12*15 = 180

profit = sp - cp = 180 - 120 = 60profit % = profit / cp * 100= 60/120*100= 50%

Discussion

15.	XERCISE 3.7 (Optional)"The ages of wo friends Ani and Biju differ by 3 years.Ani's father Dharam is tvice as ods Ani unwd Biju is twiee as old as his sister Cathy, The ages of Cathy and Dharam diffey 30 years. Vind the mes of Ani and Biju.
Answer»

Discussion

16.	1. The ages of'two triends Ani and Biju difler by 3 ycurs. Ani's father Darm is twice as oldes of Cathy and Dharam ditleras Ani and iju is twice as old a is sister Cathy. The agby 30 years Find the ages of Ani and Bijui Viu,Ilic
Answer»

Discussion

17.	o Use Endid is division algoithm toI find the HEA of U20 and 430,
Answer» 130)420-390=30)130-120/10)30-30=0; 420=130×3+30; 130=30×4+15; 35=10×3+5

17.

o Use Endid is division algoithm toI find the HEA of U20 and 430,

Answer»

130)420-390=30)130-120/10)30-30=0;

420=130×3+30; 130=30×4+15; 35=10×3+5

Discussion

18.	3. Complete the missing entries in the following factor tree:
Answer» 1st box ans 422nd boxans 21

Discussion

19.	6. (Koran) eanna 2S,000 Pen month. He spendsof his easiniay on foods find this saumg5
Answer» rohan earns Rs. 25000 per month. He spends 4/5 of his earning on food. Find his saving.

Discussion

20.	31. Frame an algebraic expression for the following cases:i. p is subtracted from the product of r and q.ii. One forth of ais added to one third of b gives one fifth of e.iii. Sum of a and b is divided by the product of a and b gives 50.iv. The number z is multiplied by itself.
Answer» rq - p(a/4) + (b/3) = (c/5)(a + b)/ab = 50z × z

Discussion

21.	5. Draw a factor tree forthe expression 2x0-3xyoosficiont of in the expression
Answer» 2x²-3xy = x(2x-3y) 2x²-3xy / \ x (2x-3y)

Discussion

22.	i arcraped of urr anit takes 35 minutes to cover a distanee of 430 km Find thlofaircrah
Answer» Speed =distance /timehencespeed =430/35=12.28km/min

Discussion

23.	Construct quadrilaterals with the measurements given below:(a) Quadrilateral HELP with HE-6cm, EL-4.5 cm, LH-60°, LE=105° and LP-120°.17 om and R-850
Answer»

Discussion

24.	SELLUSmultiplication, find the total nuThe monthly incomeexpenditures are inmes of Arvan and Babban are in the ratio 3 : 4 and their monthlytures are in the ratio 5 : 7. If each saves * 15000 per month, find their monthlv[CBSE 2016]incomes using matrix method. This problem reflects which value?ANSWERS
Answer» above pic is the correct answet

Discussion

25.	2. The monthly income of A and B are in the ratio 3:4 and their monthly expenditures5,000 per month, find the monthly income ofare in the ratio 5:7. If each saveseach.
Answer»

Discussion

26.	(VII) 15.t.rnymonthly income of A and B are in the ratio 3:4 and their monthly expendituresare in the ratio 5.7. If each saves 5,000 per month, find the monthly income ofeach.2. The
Answer» no this not answer

Discussion

27.	22.Themonthlyincomes of Aryan and Babban are in the ratio 3 : 4 and their monthlyexpenditures are in the ratio 5 : 7. If each saves 15000 per month, find their monthly[CBSE 20161incomes using matrix method. This problem reflects which value?
Answer»

Discussion

28.	3) There are 8 animals in the barn. Some are geese and sommany of each animal are there?are cows. There are 28 legs in all. How
Answer»

Discussion

29.	TyPo oBrimo number than Brookethat JP is wintional
Answer» i doni dont know please run your own mind Hence proved ,but P is a prime number it is a solution....

29.

TyPo oBrimo number than Brookethat JP is wintional

Answer»

i doni dont know please run your own mind

Hence proved ,but P is a prime number it is a solution....

Discussion

30.	LtoJpon food by a suitable method.Delditurefind out the concentration of SO, in the air (in parts per mias collected for 30 localities in a certain city and is presented belowmillion, i.e., ppm), the dataConcentration of SO (in ppm)Frequency0.00-0.040.04 0.080.08 -0.120.12-0.160.16 0.200.20- 0.244Find the mean concentration of SO2 in the air.
Answer»

Discussion

31.	(cot^2)*(sec-1)/1+sin=sec^(1-sin^2)/1-sec)
Answer»

Discussion

32.	\operatorname { sec } ^ { 2 } A + \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A ) = \operatorname { sec } ^ { 2 } A \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A )
Answer» sec²A + sec²(π/2-A) => 1/cos²A + 1/cos²(π/2-A)=> 1/cos²A + 1/sin²A=> (sin²A+cos²A)/(sin²Acos²A)=> 1/cos²(π/2-A)cos²A=> sec²A.sec²(π/2-A)..

32.

\operatorname { sec } ^ { 2 } A + \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A ) = \operatorname { sec } ^ { 2 } A \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A )

Answer»

sec²A + sec²(π/2-A)

=> 1/cos²A + 1/cos²(π/2-A)=> 1/cos²A + 1/sin²A=> (sin²A+cos²A)/(sin²Acos²A)=> 1/cos²(π/2-A)cos²A=> sec²A.sec²(π/2-A)..

Discussion

33.	With auch verten of the triangle as eesmnle dqoaif the lemgof h side o (see Fig 12.28) Findmuofthe shaded region. (Use π=3.14 a
Answer»

Discussion

34.	A train 280 m long is moving at a speed of 60 km/hr. What is the time takenby it to cross a platform 220 m iong?(b)
Answer» Train 280m long Platform length is 220m To cross a platform train has to cover 220m+280m = 500m total time taken = 60/500 = 3/25 h = 3×3600/25 s = 432 s

Discussion

35.	1969A father has 4sone.1st son is 6 years yourger than ythson2ndgon's age strean.Erdson is 4 years elder than it son.
Answer» his father is 35 years ek pitaji ke 4 son the 1st son 2 year bada tha 4th son se 2 years is the right answer 1st son ,4th son SE2years bada tha 2 year is the right answer

35.

1969A father has 4sone.1st son is 6 years yourger than ythson2ndgon's age strean.Erdson is 4 years elder than it son.

Answer»

his father is 35 years

ek pitaji ke 4 son the 1st son 2 year bada tha 4th son se

2 years is the right answer

1st son ,4th son SE2years bada tha

2 year is the right answer

Discussion

36.	.Today Shrikant is S years elder than Shiva and Sachin is 4 years younger tShiva. If thesum of ages of all the three after 12 years?ages of Sachin and Shrikant are in the ratio 3 : 4. what will be the
Answer» Let age of Shiva be xShrikant age = x + 8Sachin age = x - 4 Given (x-4)/(x+8) = 3/4 4(x-4) = 3(x+8) 4x-16 = 3x + 24 x = 40 After 12 yearsShiva age = x + 12 = 40+12 = 52Shrikant age = x+8+12 = x + 20 = 60Sachin age = x-6+12 = x + 6 = 46 Sum of ages after 12 yrs= 52 + 60 + 46= 158 ans

36.

.Today Shrikant is S years elder than Shiva and Sachin is 4 years younger tShiva. If thesum of ages of all the three after 12 years?ages of Sachin and Shrikant are in the ratio 3 : 4. what will be the

Answer»

Let age of Shiva be xShrikant age = x + 8Sachin age = x - 4

Given (x-4)/(x+8) = 3/4 4(x-4) = 3(x+8) 4x-16 = 3x + 24 x = 40

After 12 yearsShiva age = x + 12 = 40+12 = 52Shrikant age = x+8+12 = x + 20 = 60Sachin age = x-6+12 = x + 6 = 46

Sum of ages after 12 yrs= 52 + 60 + 46= 158 ans

Discussion

37.	.Suniliselder than Rajealh by 5 years. Alber 5 years their ages wosld be in tFind their present ags
Answer» Let Rajesh's age be 'X' years ,nowSunil's age = 5 + X After 5 years:Rajesh's age = X + 5Sunil's age = X + 10Given: X+10/X+5 = 5/44(X+10) = 5(X+5)4X + 40 = 5X + 25X = 15X+5 = 20.Hence Rajesh's present age = 15Sunil's present age = 20

37.

.Suniliselder than Rajealh by 5 years. Alber 5 years their ages wosld be in tFind their present ags

Answer»

Let Rajesh's age be 'X' years ,nowSunil's age = 5 + X

After 5 years:Rajesh's age = X + 5Sunil's age = X + 10Given: X+10/X+5 = 5/44*(X+10) = 5*(X+5)4X + 40 = 5X + 25X = 15X+5 = 20.Hence Rajesh's present age = 15Sunil's present age = 20

Discussion

38.	From the top of a tower of height 60 m, the angles of depression of the top and thebottom of a building are observed to be 30 and 60' respectively. Find the height ofthe building
Answer»

Discussion

39.	leftthegrou,on6. TIwo years ago the mean age of 40 people was 11 years. Now a personand the mean age is changed to 12he person who left the groupem
Answer»

Discussion

40.	a cow is tied to a pole in grass field using a rope which is 5.6meter long. find the area where cow can grass
Answer» Given:- A cow is tied to a pole in grass field using a rock which is 5. 6 m long. Therefore the area of approach of cow is in the form of a sector as shown in the figure. ∴Area where cow can graze=Area of the sector with radius equal to 5.6 m=π(5.6)²/4=24.62 m² not getting

40.

a cow is tied to a pole in grass field using a rope which is 5.6meter long. find the area where cow can grass

Answer»

Given:- A cow is tied to a pole in grass field using a rock which is 5. 6 m long.

Therefore the area of approach of cow is in the form of a sector as shown in the figure.

∴Area where cow can graze=Area of the sector with radius equal to 5.6 m=π(5.6)²/4=24.62 m²

not getting

Discussion

41.	Saurabh sold a motorcycle to Kaushal at a gain of 10% and Kaushal sold it to Vikas at a gain of5%. IfVikas pays 15750 for it, for how much did Saurabh purchase it?
Answer»

Discussion

42.	10, 0 u00(e) 36,54 and 10826rind the HcT af the foilfowing lby iong dirsion mt(a) 224 and 354(b) 475 and 575
Answer»

Discussion

43.	resuitng cubold2. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Tdiameter ofthe hemisphere is 14 cm and the total height of the vessel is 1 3 cm. Findinner surface area of the vessel.
Answer»

Discussion

44.	Volume and surface area of a solid hemisphere are numerically equai.What is the diameter of hemisphere?
Answer» Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9

Discussion

45.	A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder.The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm. Find the inner surface area of the vessel
Answer»

Discussion

46.	Q1.A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder.The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm.Find the inner surface area of the vessel.
Answer»

Discussion

47.	A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm.Find the inner surface area of the vesselQ1
Answer»

Discussion

48.	The sum of the salaries of A and B is ₹15000.A spends 90% of the salary and B spends 80% for family expenses.If their savings are in the ratio 3:4,find the salary of each.
Answer»

Discussion

49.	8. The ratio of incomes of two persons is 9:7 and the ratio of their expenditure is 4:3. If each of themsaves Rs.2000 per month, find their monthly incomes
Answer» Let the incomes be 9x and 7xLet the expenditures be 4y and 3y Savings = Income - ExpenditureFor 1st person, 2000 = 9x - 4y ... (a)For 2nd person, 2000 = 7x - 3y .... (b)Multiplying (a) by 3 and (b) by 46000 = 27x - 12y8000 = 28x - 12ySubtracting these,-2000 = -xx = Rs. 2000Monthly income of 1st and 2nd person is 9x = Rs. 18000 and 7x = Rs. 14000 respectively.

49.

8. The ratio of incomes of two persons is 9:7 and the ratio of their expenditure is 4:3. If each of themsaves Rs.2000 per month, find their monthly incomes

Answer»

Let the incomes be 9x and 7xLet the expenditures be 4y and 3y

Savings = Income - ExpenditureFor 1st person, 2000 = 9x - 4y ... (a)For 2nd person, 2000 = 7x - 3y .... (b)Multiplying (a) by 3 and (b) by 46000 = 27x - 12y8000 = 28x - 12ySubtracting these,-2000 = -xx = Rs. 2000Monthly income of 1st and 2nd person is 9x = Rs. 18000 and 7x = Rs. 14000 respectively.

Discussion

50.	III11thanKaushal spends 2% more on the foodwhat he spends on the education of hisIf he spends 1224 on the food, how muchdoes he spend on the education of his son?
Answer» Let the amount spent by him on his son's education be xamount spent by him on the food be x+2/100 ATQx+2%×x=1224 ye this is a correct question Let education =xFood=x+2% of x=1224X+2x/100=1224102x=122400X=122400/102=1200rs on education 1200 rs is the correct answer 1200 is the correct answer of the given question

50.

III11thanKaushal spends 2% more on the foodwhat he spends on the education of hisIf he spends 1224 on the food, how muchdoes he spend on the education of his son?

Answer»

Let the amount spent by him on his son's education be xamount spent by him on the food be x+2/100

ATQx+2%×x=1224

ye this is a correct question

Let education =xFood=x+2% of x=1224X+2x/100=1224102x=122400X=122400/102=1200rs on education

1200 rs is the correct answer

1200 is the correct answer of the given question

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Example 1: Add: (72ab + 21 a'b +53a ) and(-23ab +17a'b +5a)213

Add(i) 5a,-3a, 4a(ii)-2b, b,-3b(iii)

lain the Civil Rights Movement in theExUSA.1.

100 TUTUL MIIULUIWILLIOThe sum of Beena's age and one-third ofher mother's age is 26 years. If her motheris 30 years older than Beena, what is thepresent age of Beena?

5. The angle of elevation of a Jet plane from apoint A on the ground is 60°. After a flight of15 seconds, the angle of elevation changes to30. If the Jet plane is flying at constant heightof 1500/3 m. Find the speed of Jet plane in[CBSE March 2012]km/h.

OS.In the following figure, if AOB is a straight linef ZAOC and ZBOstraight line then find the measures of ZAOC and(3x + 20)(4x - 36)O

A father is 30 years older than bl.son In 12 years, the man will be three times as old as hissson. Find their present ages.

19 A father is 30 years older than his son. In 12 years, the man will be three times as old as hisson. Find their present ages.

19. A father is 30 years older than his son. In 12 years, the man will be three times as old as hisson. Find their present ages

find the angle between the straight line

38. The time taken by Ram to cover 150 kmin one direction was 150 minutes morethan the time in the return journey. If hereturned at a speed of 10 km/h more thanthe speed of onward journey, then findHiU45. Twthe speed of Ram in each direction.GBSE March 2012]

1. Complete the missing entries in the following factor tree :2

1. Complete the missing entries in the following factor tree2,

7 Joy bought pens at 120 a dozen. He sold itfor15each.Whatishisprofitpencent?tudu tablo forza 000 She said it at a profit of 20% Howmuch

XERCISE 3.7 (Optional)"The ages of wo friends Ani and Biju differ by 3 years.Ani's father Dharam is tvice as ods Ani unwd Biju is twiee as old as his sister Cathy, The ages of Cathy and Dharam diffey 30 years. Vind the mes of Ani and Biju.

1. The ages of'two triends Ani and Biju difler by 3 ycurs. Ani's father Darm is twice as oldes of Cathy and Dharam ditleras Ani and iju is twice as old a is sister Cathy. The agby 30 years Find the ages of Ani and Bijui Viu,Ilic

o Use Endid is division algoithm toI find the HEA of U20 and 430,

3. Complete the missing entries in the following factor tree:

6. (Koran) eanna 2S,000 Pen month. He spendsof his easiniay on foods find this saumg5

31. Frame an algebraic expression for the following cases:i. p is subtracted from the product of r and q.ii. One forth of ais added to one third of b gives one fifth of e.iii. Sum of a and b is divided by the product of a and b gives 50.iv. The number z is multiplied by itself.

5. Draw a factor tree forthe expression 2x0-3xyoosficiont of in the expression

i arcraped of urr anit takes 35 minutes to cover a distanee of 430 km Find thlofaircrah

Construct quadrilaterals with the measurements given below:(a) Quadrilateral HELP with HE-6cm, EL-4.5 cm, LH-60°, LE=105° and LP-120°.17 om and R-850

2. The monthly income of A and B are in the ratio 3:4 and their monthly expenditures5,000 per month, find the monthly income ofare in the ratio 5:7. If each saveseach.

(VII) 15.t.rnymonthly income of A and B are in the ratio 3:4 and their monthly expendituresare in the ratio 5.7. If each saves 5,000 per month, find the monthly income ofeach.2. The

22.Themonthlyincomes of Aryan and Babban are in the ratio 3 : 4 and their monthlyexpenditures are in the ratio 5 : 7. If each saves 15000 per month, find their monthly[CBSE 20161incomes using matrix method. This problem reflects which value?

3) There are 8 animals in the barn. Some are geese and sommany of each animal are there?are cows. There are 28 legs in all. How

TyPo oBrimo number than Brookethat JP is wintional

(cot^2)*(sec-1)/1+sin=sec^(1-sin^2)/1-sec)

\operatorname { sec } ^ { 2 } A + \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A ) = \operatorname { sec } ^ { 2 } A \operatorname { sec } ^ { 2 } ( \frac { \pi } { 2 } - A )

With auch verten of the triangle as eesmnle dqoaif the lemgof h side o (see Fig 12.28) Findmuofthe shaded region. (Use π=3.14 a

A train 280 m long is moving at a speed of 60 km/hr. What is the time takenby it to cross a platform 220 m iong?(b)

1969A father has 4sone.1st son is 6 years yourger than ythson2ndgon's age strean.Erdson is 4 years elder than it son.

.Today Shrikant is S years elder than Shiva and Sachin is 4 years younger tShiva. If thesum of ages of all the three after 12 years?ages of Sachin and Shrikant are in the ratio 3 : 4. what will be the

.Suniliselder than Rajealh by 5 years. Alber 5 years their ages wosld be in tFind their present ags

From the top of a tower of height 60 m, the angles of depression of the top and thebottom of a building are observed to be 30 and 60' respectively. Find the height ofthe building

leftthegrou,on6. TIwo years ago the mean age of 40 people was 11 years. Now a personand the mean age is changed to 12he person who left the groupem

a cow is tied to a pole in grass field using a rope which is 5.6meter long. find the area where cow can grass

Saurabh sold a motorcycle to Kaushal at a gain of 10% and Kaushal sold it to Vikas at a gain of5%. IfVikas pays 15750 for it, for how much did Saurabh purchase it?

10, 0 u00(e) 36,54 and 10826rind the HcT af the foilfowing lby iong dirsion mt(a) 224 and 354(b) 475 and 575

resuitng cubold2. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Tdiameter ofthe hemisphere is 14 cm and the total height of the vessel is 1 3 cm. Findinner surface area of the vessel.

Volume and surface area of a solid hemisphere are numerically equai.What is the diameter of hemisphere?

A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder.The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm. Find the inner surface area of the vessel

Q1.A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder.The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm.Find the inner surface area of the vessel.

A vessel is in the form of a hollow hemisphere mounted by a hollowcylinder The diameter of the hemisphere is 14 cm and the totalheight of the vessel is 13 cm.Find the inner surface area of the vesselQ1

The sum of the salaries of A and B is ₹15000.A spends 90% of the salary and B spends 80% for family expenses.If their savings are in the ratio 3:4,find the salary of each.

8. The ratio of incomes of two persons is 9:7 and the ratio of their expenditure is 4:3. If each of themsaves Rs.2000 per month, find their monthly incomes

III11thanKaushal spends 2% more on the foodwhat he spends on the education of hisIf he spends 1224 on the food, how muchdoes he spend on the education of his son?