332354 + Interview Questions in Secondary School in Math

1.	. Manoj earns $25,000 and saves 10,500 per month. Find the ratio of: (i) His income to his savings.n(ii) His expenditure to his saving.(iii) His income to his expenditure.
Answer» er: 60000 Step-by-step explanation: Let’s say his monthly income is x. His EXPENSES are: Rent= 25% of x = .25x Food= 30% of x = .30x Other= 20% of x = .20x Hence his total EXPENSE = .25x + .30x. + .20x = .75x. His SAVING = Income - expense = x - .75x = .25x So, .25x =15000 x = 15000 /.25 = 15000×100 / 25 = 60000 Hence Bobby,s monthly income is Rs 60000.

1.

. Manoj earns $25,000 and saves 10,500 per month. Find the ratio of: (i) His income to his savings.n(ii) His expenditure to his saving.(iii) His income to his expenditure.

Answer»

er:

60000

Step-by-step explanation:

Let’s say his monthly income is x.

His EXPENSES are:

Rent= 25% of x = .25x

Food= 30% of x = .30x

Other= 20% of x = .20x

Hence his total EXPENSE = .25x + .30x. + .20x = .75x.

His SAVING = Income - expense = x - .75x = .25x

So, .25x =15000

x = 15000 /.25 = 15000×100 / 25 = 60000

Hence Bobby,s monthly income is Rs 60000.

Discussion

2.	Log{(16)⅕×5²÷(108)³}
Answer» ong>Answer: *Solution* *SolutionStep1* *SolutionStep1Log8314=Log(314) ÷ Log(8)* *SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807* *SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992* *SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992* *SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296* *SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2* SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be CALCULATED like this. SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be calculated like this.Log(157) + Log(2) SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be calculated like this.Log(157) + Log(2)Log8314= Log8(157) + Step-by-step explanation: MARK me as BRAINLIEST

2.

Log{(16)⅕×5²÷(108)³}

Answer»

ong>Answer:

Solution

SolutionStep1

SolutionStep1Log8314=Log(314) ÷ Log(8)

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be CALCULATED like this.

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be calculated like this.Log(157) + Log(2)

SolutionStep1Log8314=Log(314) ÷ Log(8)Log(314)= 2.49692964807Log(8)=0.903089986992Log8314=2.49692964807 ÷ 0.903089986992Ans=2.76487358296Step2Alternatively, the logarithm can be calculated like this.Log(157) + Log(2)Log8314= Log8(157) +

Step-by-step explanation:

MARK me as BRAINLIEST

Discussion

3.	Please help. this is a practice worksheet but can't do this one
Answer» ong>ANSWER: sorry my for that IMAGE is not CLEARLY

3.

Please help. this is a practice worksheet but can't do this one

Answer»

ong>ANSWER:

sorry my for that IMAGE is not CLEARLY

Discussion

4.	Find the cube root of13824 by prime factorization method
Answer» ONG>Answer: Step-by-step explanation: In order to find the prime factorization of the number, we continuously divide the number with prime NUMBERS. Further simplifying the RHS and writing it in the form of a cube. Hence, the cube root of 13824 is 24.

4.

Find the cube root of13824 by prime factorization method

Answer» ONG>Answer:

Step-by-step explanation:

In order to find the prime factorization of the number, we continuously divide the number with prime NUMBERS. Further simplifying the RHS and writing it in the form of a cube. Hence, the cube root of 13824 is 24.

Discussion

5.	A local restaurant offered a part-time job to five friends Akash, Bharath, Charan, David, and Farooq, and they have agreed to work together. The restaurant works five days a week, and this group has the following schedule whenthey can work:Charan and David can work on Monday, Tuesday, and WednesdayDavid and Farooq can work on Monday, Wednesday, and ThursdayFarooq and Akash can work on Monday, Friday, and ThursdayAkash and Bharath can work on Friday, Tuesday, and ThursdayCharan and Bharath can work on Friday, Tuesday, and Wednesday.Which one of the five friends cannot work on Thursdays?
Answer» ONG>ANSWER: Charan cannot WORK on THURSDAY because he got work only on Monday Tuesday and Wednesday

Discussion

6.	10. Reflection of (3, -2) with respect to x-axis is: * (-3,-2)(3,-2)Option 4(-3,
Answer» ONG>ANSWER: OPTIONS is 2 Step-by-step EXPLANATION: is cooret answers

6.

10. Reflection of (3, -2) with respect to x-axis is: * (-3,-2)(3,-2)Option 4(-3,

Answer» ONG>ANSWER:

OPTIONS is 2

Step-by-step EXPLANATION:

is

cooret

answers

Discussion

7.	-2,0,1,3 परिमेय संख्या है
Answer» ONG>Answer: PLZ WRITE in english didnt understand

Discussion

8.	13.Discount ____-______
Answer» ong>Answer: Discount = Market PRICE − selling price

8.

13.Discount -__

Answer»

ong>Answer:

Discount = Market PRICE − selling price

Discussion

9.	24. The angles of a triangle are in the ratio 2:4:3. Find the smalest angle of the triangle
Answer» 4x + 3x = 180° 9x = 180° X = 180/9 x = 20° THE ANGLES OF A TRIANGLE : 2X = 2(20) = 40° 4x = 4(20°) = 80° 3x = 3(20°) = 60° :. THE SMALLEST ANGLE OF A TRIANGLE IS 40° MARK ME AS BRAINLIST ❤️

9.

24. The angles of a triangle are in the ratio 2:4:3. Find the smalest angle of the triangle

Answer»

4x + 3x = 180°

9x = 180°

X = 180/9

x = 20°

THE ANGLES OF A TRIANGLE :

2X = 2(20) = 40°

4x = 4(20°) = 80°

3x = 3(20°) = 60°

:. THE SMALLEST ANGLE OF A TRIANGLE IS 40°

MARK ME AS BRAINLIST ❤️

Discussion

10.	If P (x) = x + 2 , q (x) = X² +X +3 and r (x) = (x²-3) , then find the value of p (x) , r (x) solve fast
Answer» N P(X) = x³-x²+x+1 so, p(1) = (1)³-(1)²+1+1 = 2. and p(-1) = -1-1+1+1 = 0 therefore , p(1)+p(-1) = 2+0 = 2. and {p(1)+p(-1)}/2 = 2/2 = 1.

10.

If P (x) = x + 2 , q (x) = X² +X +3 and r (x) = (x²-3) , then find the value of p (x) , r (x) solve fast

Answer» N P(X) = x³-x²+x+1

so, p(1) = (1)³-(1)²+1+1 = 2.

and p(-1) = -1-1+1+1 = 0

therefore , p(1)+p(-1) = 2+0 = 2. and

{p(1)+p(-1)}/2 = 2/2 = 1.

Discussion

11.	If 10 bulbs are lighted 4 hours every day for 60 days then the electricity bill is Rs.80. How many bulbs can be lighted for 3 hours every day for 16 days so that the electricity bill is rs. 40? please don't spam...
Answer» ong>ANSWER: Two electric BULBS of 100 W each is used for 10 hours in the month of June. Write the following steps in sequential order to find the numbe of units of electricity consumed in the month of June. (A) The number of units of electricity consumed by both bulbs in the month of June is the total elec-trical energy consumed by bulbs expressed in W h divided by 100 W h . (B) Note the rated power of each electric bulb, time of electrical consumption of each bulb per day from the given data. (C ) We know, one electrical unitor. (D) Calculate the amount of electrical energy con-sumed by both the bulbs in the month of June USING, (sum of the electrical power of both the bulb)(time of consumption in one day)days. Text Solution BACD ABCD BDCA DCBA Answer : C Solution : The power of electric bulb, . The time for which bulb utilieses electric power per day h. In the month of june, days . The electric energy consumed by a bulb is The total energy consumed by both the bulbs, . The number of electric units units.

11.

If 10 bulbs are lighted 4 hours every day for 60 days then the electricity bill is Rs.80. How many bulbs can be lighted for 3 hours every day for 16 days so that the electricity bill is rs. 40? please don't spam...

Answer»

ong>ANSWER:

Two electric BULBS of 100 W each is used for 10 hours in the month of June. Write the following steps in sequential order to find the numbe of units of electricity consumed in the month of June.
(A) The number of units of electricity consumed by both bulbs in the month of June is the total elec-trical energy consumed by bulbs expressed in W h divided by 100 W h .
(B) Note the rated power of each electric bulb, time of electrical consumption of each bulb per day from the given data.
(C ) We know, one electrical unitor.
(D) Calculate the amount of electrical energy con-sumed by both the bulbs in the month of June USING, (sum of the electrical power of both the bulb)(time of consumption in one day)days.

Text Solution

BACD

ABCD

BDCA

DCBA

Answer :

C

Solution :

The power of electric bulb,

.
The time for which bulb utilieses electric power per day

h.
In the month of june,

days

.
The electric energy consumed by a bulb is

The total energy consumed by both the bulbs,

.

The number of electric units

units.

Discussion

12.	Х10с 12C623 13x®& 6xИх
Answer» ONG>ANSWER: smzmzmsndnrnrnenekejndjdnsbsbsbsnshsndndndbd Step-by-step EXPLANATION: snnssnnsndnddndnsnhhgffhjgggggggghhh shejdjejejdjenendjenrhdjdndbdhdjdnddndndndndnrjdjdjjdjdrjjrdjdjrndn

12.

Х10с 12C623 13x®& 6xИх

Answer» ONG>ANSWER:

smzmzmsndnrnrnenekejndjdnsbsbsbsnshsndndndbd

Step-by-step EXPLANATION:

snnssnnsndnddndnsnhhgffhjgggggggghhh

shejdjejejdjenendjenrhdjdndbdhdjdnddndndndndnrjdjdjjdjdrjjrdjdjrndn

Discussion

13.	What isFor an A.P. if t = 4, n = 7, d= -4 find a.
Answer» ong>ANSWER: 31 Step-by-step explanation: Here I attach the pic to the answer . . . Hope this answer HELPS you :) . . . PLEASE mark my answer as brainliest answer . . . Drop some like ♥︎♥︎♥︎♡♥︎♥︎♥︎♡♥︎♥︎♥︎

13.

What isFor an A.P. if t = 4, n = 7, d= -4 find a.

Answer»

ong>ANSWER:

31

Step-by-step explanation:

Here I attach the pic to the answer

.

Hope this answer HELPS you :)

.

PLEASE mark my answer as brainliest answer

.

Drop some like ♥︎♥︎♥︎♡♥︎♥︎♥︎♡♥︎♥︎♥︎

Discussion

14.	A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground where it makes an angle 30° The distance between the foot of the tree to the pointwhere the top touches the ground is 8 m. Find the height of the tree from where it is broken.
Answer» ONG>Answer: Answer is 8 root 3 Step-by-step explanation: LET AC is the tree which break at B, and the broken part AB become BD. In triangle BCD, BC/ DC = tan 30 BC / 8 = 1 / root 3 BC = 8 / root 3 Similarly, DC / BD = cos 30 8 / BD = root 3 / 2 BD = 16 / root 3 Therefore, *HEIGHT* of *the* *tree* => AC = AB + BC = 16 / root 3 + 8 / root 3 = 24 / root 3 On RATIONALIZE => 24 root 3 / 3 Which means the answer will be 8 root 3 If it is helpful for you then mark me branliest Also thanks my anwers and follow..

14.

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground where it makes an angle 30° The distance between the foot of the tree to the pointwhere the top touches the ground is 8 m. Find the height of the tree from where it is broken.

Answer» ONG>Answer:

Answer is 8 root 3

Step-by-step explanation:

LET AC is the tree which break at B, and the broken part AB become BD.

In triangle BCD,

BC/ DC = tan 30

BC / 8 = 1 / root 3

BC = 8 / root 3

Similarly,

DC / BD = cos 30

8 / BD = root 3 / 2

BD = 16 / root 3

Therefore, HEIGHT of the tree =>

AC = AB + BC

= 16 / root 3 + 8 / root 3

= 24 / root 3

On RATIONALIZE => 24 root 3 / 3

Which means the answer will be 8 root 3

If it is helpful for you then mark me branliest

Also thanks my anwers and follow..

Discussion

15.	3 B) First find one half of these many we wall of thesenumber and then one quarterHalfNATION(ii) 32(it) 28(iv) 1210 problems solving -CDS
Answer» ONG>ANSWER: I doknow the Answer Step-by-step EXPLANATION: I am SORRY

15.

3 B) First find one half of these many we wall of thesenumber and then one quarterHalfNATION(ii) 32(it) 28(iv) 1210 problems solving -CDS

Answer» ONG>ANSWER:

I doknow the Answer

Step-by-step EXPLANATION:

I am SORRY

Discussion

16.	In the algebraic expression 7xy +21 the factors of xy is no spams spamsers = report
Answer» ong>Answer: 7xy + 21 = xy -7 Step-by-step EXPLANATION: give me your no

16.

In the algebraic expression 7xy +21 the factors of xy is no spams spamsers = report

Answer»

ong>Answer:

7xy + 21 = xy -7

Step-by-step EXPLANATION:

give me your no

Discussion

17.	DATE: PAGE:و315of rativorightcorcular solid cylindershaveradiiralis2i3. Andratis of 아1O curved surface AreaVolumeandheights in
Answer» ONG>Answer: F FT hsmsnsjsmhqbshhsjsvshshsh Step-by-step explanation: cznvzkvxkvxkvzkxjv, hzjvzhczhc, JC, jc, jczjvzk

17.

DATE: PAGE:و315of rativorightcorcular solid cylindershaveradiiralis2i3. Andratis of 아1O curved surface AreaVolumeandheights in

Answer» ONG>Answer:

F FT hsmsnsjsmhqbshhsjsvshshsh

Step-by-step explanation:

cznvzkvxkvxkvzkxjv, hzjvzhczhc, JC, jc, jczjvzk

Discussion

18.	:) ∆ ABC is an equilateral triangle Point P is on base BC such that PC=1/3 BC.If AB=12 cm, find AP.
Answer» ong>Answer: 12cm If U r satisfied with my answer PLEASE mark me as BRAINLIEST ❤️ ❤️ ❤️

18.

:) ∆ ABC is an equilateral triangle Point P is on base BC such that PC=1/3 BC.If AB=12 cm, find AP.

Answer»

ong>Answer:

12cm

If U r satisfied with my answer PLEASE mark me as BRAINLIEST ❤️ ❤️ ❤️

Discussion

19.	Write the coefficient of x2 in [2]a) 23 +1
Answer» ONG>Answer: 2 Step-by-step EXPLANATION: I THINK it will HELP you

19.

Write the coefficient of x2 in [2]a) 23 +1

Answer» ONG>Answer:

2

Step-by-step EXPLANATION:

I THINK it will HELP you

Discussion

20.	two natural number are selected from first 60 natural number and are multipled. what is the probability that their product is divisible by 4
Answer» ONG>Answer: Correct OPTION is C 10 1 Let the two non-negative integers selected be a and b. Then a=10α+a 1 and b=10β+b 1 , where α,β≥0 and 0 1 ,b 1 ≤9 Thus, number of possible cases for (a 1 ,b 1 ) is 10×10=100 Out of these 100, (0,0),(1,9),(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2) and (9,1) are favourable. Hence, the probability of the required EVENT is 100 10 = 10 1

20.

two natural number are selected from first 60 natural number and are multipled. what is the probability that their product is divisible by 4

Answer» ONG>Answer:

Correct OPTION is

C

10

1

Let the two non-negative integers selected be a and b.

Then a=10α+a

1

and b=10β+b

1

,

where α,β≥0 and 0

Thus, number of possible cases for (a

Out of these 100, (0,0),(1,9),(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2) and (9,1) are favourable.

Hence, the probability of the required EVENT is

100

10

=

10

1

Discussion

21.	Factorise x^2-11x-102
Answer» ong>Answer: 1 Use the sum-product pattern 2−11−102 2+6−17−102 2 Common FACTOR from the TWO pairs 2+6−17−102 (+6)−17(+6) 3 Rewrite in FACTORED FORM (+6)−17(+6) (−17)(+6)

21.

Factorise x^2-11x-102

Answer»

ong>Answer:

1

Use the sum-product pattern

2−11−102

2+6−17−102

2

Common FACTOR from the TWO pairs

2+6−17−102

(+6)−17(+6)

3

Rewrite in FACTORED FORM

(+6)−17(+6)

(−17)(+6)

Discussion

22.	a boy can row a boat 63km upstream in seven hours and 132 km fownstream in 12hours. what is the rate of flow of the river
Answer» ong>Answer: a boy can row a BOAT 63KM upstream in seven hours and 132 km fownstream in 12hours. what is the rate of flow of the river

22.

a boy can row a boat 63km upstream in seven hours and 132 km fownstream in 12hours. what is the rate of flow of the river

Answer»

ong>Answer:

a boy can row a BOAT 63KM upstream in seven hours and 132 km fownstream in 12hours. what is the rate of flow of the river

Discussion

23.	The Cost20m8) ItofofRS1600. then whatisClothwillbetheCostof 잉thatcloth?of
Answer» ONG>Answer: I can't UNDERSTAND the question Step-by-step explanation: sorrry can't understand

23.

The Cost20m8) ItofofRS1600. then whatisClothwillbetheCostof 잉thatcloth?of

Answer» ONG>Answer:

I can't UNDERSTAND the question

Step-by-step explanation:

sorrry can't understand

Discussion

24.	(-2)2x (2³) is equal to a2
Answer» ONG>Answer: CLICK on the image Step-by-step explanation: MARK me as brainlist

24.

(-2)2x (2³) is equal to a2

Answer» ONG>Answer:

CLICK on the image

Step-by-step explanation:

MARK me as brainlist

Discussion

25.	A bullet train travels 350kms in 5hours? What will be the speed ofthe bullet train?
Answer» d = distance/time =350/5=70 70km.per HOUR is the ANSWER

25.

A bullet train travels 350kms in 5hours? What will be the speed ofthe bullet train?

Answer»

d = distance/time

=350/5=70

70km.per HOUR is the ANSWER

Discussion

26.	In LMN, m = 90° & LM = 6cm &MN =8cm then find LN=?
Answer» ONG>Answer: 10cm Step-by-step explanation: Sol: In Triangle LMN, using Pythagoras theorem p^2 + b^2 = h^2 or, (LM)^2 + (MN)^2 = (LN)^2 or, (6)^2 + (8)^2 = (LN)^2 or, 36 + 64 = (LN)^2 or, 100 = (LN)^2 or, $\sqrt{100}$ = LN or, LN = 10cm

26.

In LMN, m = 90° & LM = 6cm &MN =8cm then find LN=?

Answer» ONG>Answer:

10cm

Step-by-step explanation:

Sol:

In Triangle LMN, using Pythagoras theorem

p^2 + b^2 = h^2

or, (LM)^2 + (MN)^2 = (LN)^2

or, (6)^2 + (8)^2 = (LN)^2

or, 36 + 64 = (LN)^2

or, 100 = (LN)^2

or, $\sqrt{100}$ = LN

or, LN = 10cm

Discussion

27.	Question : 2 of 5 4 Marks Should employees, who have over 5 years of experience in the company, be bound by law to giveemployers an advance notice of 60 days upon resignation?Yes; research has shown that when forced to give an advanced notice, many employees have achange of heart and decide to stay, making their workplace a more stable and experiencedenvironment.
Answer» ong>Answer: Should employees, who have over 5 years of experience in the company, be bound by law to GIVE employers an advance notice of 60 days upon resignation? Yes; research has shown that when forced to give an advanced notice, many employees have a change of heart and decide to stay, making their workplace a more STABLE and EXPERIENCED

27.

Question : 2 of 5 4 Marks Should employees, who have over 5 years of experience in the company, be bound by law to giveemployers an advance notice of 60 days upon resignation?Yes; research has shown that when forced to give an advanced notice, many employees have achange of heart and decide to stay, making their workplace a more stable and experiencedenvironment.

Answer»

ong>Answer:

Should employees, who have over 5 years of experience in the company, be bound by law to GIVE

employers an advance notice of 60 days upon resignation?

Yes; research has shown that when forced to give an advanced notice, many employees have a

change of heart and decide to stay, making their workplace a more STABLE and EXPERIENCED

Discussion

28.	A cat sees a mouse in front of him Ran to catch. At the same time the cat is 4 times and the rat is 6 timesJump the bar. But the cat jumped 7 times that distanceThe rat crossed that distance by jumping 5 times. Ratio of speed of cat and rat
Answer» en : The no of JUMPS by cat is 8 and by mouse is 6 in same interval of TIME . Distance covered by cat in 7 jumps is equal to that by mouse in 5 jumps . To Find : Ratio of speeds of cat and mouse = ? Solution : Let the given same interval of time be t . So, time taken by cat for 1 jump = $\frac{8}{t}$ And , time taken by mouse for 1 jump = $\frac{6}{t}$ Let the equal distance covered be = x So, the time taken by cat to cover x in 7 jumps = $\frac{7 \times 8}{t}$ $=\frac{56}{t}$ And the time taken by mouse to cover x in 5 jumps $= \frac{5 \times 6}{t}$ $= \frac{30}{t}$ So , the speed of cat = $\frac{x}{\frac{56}{t}} = \frac{xt}{56}$ And speed of mouse = $\frac{x}{\frac{30}{t}} = \frac{xt}{30}$ So, the ratio of speeds : $=\frac{(\frac{xt}{56})}{(\frac{xt}{30})}$ $=\frac{30}{56}$ $=\frac{15}{28}$ Hence , ratio of their speeds is 15 : 28

28.

A cat sees a mouse in front of him Ran to catch. At the same time the cat is 4 times and the rat is 6 timesJump the bar. But the cat jumped 7 times that distanceThe rat crossed that distance by jumping 5 times. Ratio of speed of cat and rat

Answer»

en :

The no of JUMPS by cat is 8 and by mouse is 6 in same interval of TIME .

Distance covered by cat in 7 jumps is equal to that by mouse in 5 jumps .

To Find :

Ratio of speeds of cat and mouse = ?

Solution :

Let the given same interval of time be t .

So, time taken by cat for 1 jump = $\frac{8}{t}$

And , time taken by mouse for 1 jump = $\frac{6}{t}$

Let the equal distance covered be = x

So, the time taken by cat to cover x in 7 jumps = $\frac{7 \times 8}{t}$

$=\frac{56}{t}$

And the time taken by mouse to cover x in 5 jumps $= \frac{5 \times 6}{t}$

$= \frac{30}{t}$

So , the speed of cat = $\frac{x}{\frac{56}{t}} = \frac{xt}{56}$

And speed of mouse = $\frac{x}{\frac{30}{t}} = \frac{xt}{30}$

So, the ratio of speeds :

$=\frac{(\frac{xt}{56})}{(\frac{xt}{30})}$

$=\frac{30}{56}$

$=\frac{15}{28}$

Hence , ratio of their speeds is 15 : 28

Discussion

29.	Cylindrical tank is of radius 28cm and height 35cm. What is the total surface area and capacity of the tank? Use =227
Answer» ONG>Step-by-step EXPLANATION: height=35cm radius=28cm TSA= 2πr(h+r) 2×22/7×28 (35+28) 176(63) 11088cm^2

29.

Cylindrical tank is of radius 28cm and height 35cm. What is the total surface area and capacity of the tank? Use =227

Answer» ONG>Step-by-step EXPLANATION:

height=35cm

radius=28cm

TSA= 2πr(h+r)

2×22/7×28 (35+28)

176(63)

11088cm^2

Discussion

30.	Find the perimeter and area of thegiven figure (π=22/7)3.5cm
Answer» ong>Answer: P=22cms A=38.5 CMS sq Step-by-step EXPLANATION: if I CONSIDER a simple CIRCLE with r=3.5vm thanks

30.

Find the perimeter and area of thegiven figure (π=22/7)3.5cm

Answer»

ong>Answer:

P=22cms

A=38.5 CMS sq

Step-by-step EXPLANATION:

if I CONSIDER a simple CIRCLE with r=3.5vm

thanks

Discussion

31.	In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP. Prove that IP ≡ OP.
Answer» ong>ANSWER: Step-by-step EXPLANATION: Statements Reasons 1. CI = CO ∵ CIP ≡ COP, by CPCTC 2. IP = OP By CPCTC 3. CP = CP By CPCTC 4. Also HI = HO CPCTC ∆HIP ≡ HOP given 5. IP = OP By CPCTC and (4) 6. ∴ IP ≡ OP By (2) and (4)

31.

In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP. Prove that IP ≡ OP.

Answer»

ong>ANSWER:

Step-by-step EXPLANATION:

Statements Reasons

1. CI = CO ∵ CIP ≡ COP, by CPCTC

2. IP = OP By CPCTC

3. CP = CP By CPCTC

4. Also HI = HO CPCTC ∆HIP ≡ HOP given

5. IP = OP By CPCTC and (4)

6. ∴ IP ≡ OP By (2) and (4)

Discussion

32.	Resolve into partial fraction(2-1)/(x2-5x +6]
Answer» ONG>ANSWER: GOOD MORNING

Discussion

33.	Convert the following decimal in to fraction 1 -4% 2-80
Answer» 1)-4/100 =-1/25 2)-80/100 = -4/5 IT is ANSWER

33.

Convert the following decimal in to fraction 1 -4% 2-80

Answer»

1)-4/100

=-1/25

2)-80/100

= -4/5

IT is ANSWER

Discussion

34.	Solve this problem need urgent
Answer» o I DONT KNOW THE ANS I AMALSO HAVING SAME PRBL IN THIS QUESTION

Discussion

35.	ANS THESE BOTH QUESTIONS ASAP AND GET 100 POINTS
Answer» ong>Step-by-step explanation: The total number of 4 DIGIT numbers possible without REPETITION are 6!/2!= 360. hope this will help you Please mark it as the brainliest

35.

ANS THESE BOTH QUESTIONS ASAP AND GET 100 POINTS

Answer»

ong>Step-by-step explanation:

The total number of 4 DIGIT numbers possible without REPETITION are 6!/2!= 360.

hope this will help you

Please mark it as the brainliest

Discussion

36.	Area of rectangular plot with sides 4y2 and 3y2 is _________.
Answer» RECT question - _______________________________ Area of rectangular PLOT with sides 4x² and 3y² is ________________________________ Required answer - ________________________________ LET the rectangular plot = L = 4x² The bredth of Rectangular plot = b = 3y² Area of Rectangular plot = l × b = 4x² × 3x² = 12x²y² . Hence , the answer is 12x²y² ________________________________

36.

Area of rectangular plot with sides 4y2 and 3y2 is _________.

Answer» RECT question -

_______________________________

Area of rectangular PLOT with sides 4x² and 3y² is

________________________________

Required answer -

________________________________

LET the rectangular plot = L = 4x²

The bredth of Rectangular plot = b = 3y²

Area of Rectangular plot = l × b

= 4x² × 3x²

= 12x²y² .

Hence , the answer is 12x²y²

________________________________

Discussion

37.	Simplify :- 27¹/³ ×27²/³÷27⁵/3explain proper
Answer» ong>ANSWER........??? *HOPE* *it's* *HELPFUL* *this* *answer* *thanks* *bhai*......

37.

Simplify :- 27¹/³ ×27²/³÷27⁵/3explain proper

Answer»

ong>ANSWER........???

HOPE it's HELPFUL this answer

thanks bhai......

Discussion

38.	T 14sin x + cos x- dx16 + 9 sin 2x0
Answer» ong>Step-by-step EXPLANATION: I=∫ 0 4 π 9+16sin2x sinx+cosx dx Let sinx−cosx=t (cosx+sinx)dx=dt Again (sinx−cosx) 2 =t 2 ⇒sin 2 x+cos 2 x−2sinxcosx=t 2 ⇒1−sin2x=t 2 ⇒sin2x=1−t 2 When x=0⇒t=sin0−cos0=−1 When x= 4 π ⇒t=sin 4 π −cos 4 π = 2 1 − 2 1 =0 ∴I=∫ −1 0 9+16(1−t 2 ) dt =∫ −1 0 9+16−16t 2 dt =∫ −1 0 25−16t 2 dt = 16 1 ∫ −1 0 16 25 −t 2 dt = 16 1 ⎣ ⎢ ⎢ ⎡ 2× 4 5 1 log ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 4 5 −t 4 5 +t ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ⎦ ⎥ ⎥ ⎤ −1 0 = 4 1 [ 10 1 log ∣ ∣ ∣ ∣ ∣ 5−4t 5+4t ∣ ∣ ∣ ∣ ∣ ] −1 0 = 40 1 [log ∣ ∣ ∣ ∣ ∣ 5−0 5+0 ∣ ∣ ∣ ∣ ∣ −log ∣ ∣ ∣ ∣ ∣ 5+4 5−4 ∣ ∣ ∣ ∣ ∣ ] = 40 1 [log1−log( 9 1 )] = 40 1 [0+log9] = 40 log9

38.

T 14sin x + cos x- dx16 + 9 sin 2x0

Answer»

ong>Step-by-step EXPLANATION:

I=∫

0

4

π

9+16sin2x

sinx+cosx

dx

Let sinx−cosx=t

(cosx+sinx)dx=dt

Again (sinx−cosx)

2

=t

2

⇒sin

2

x+cos

2

x−2sinxcosx=t

2

⇒1−sin2x=t

2

⇒sin2x=1−t

2

When x=0⇒t=sin0−cos0=−1

When x=

4

π

⇒t=sin

4

π

−cos

4

π

=

2

1

−

2

1

=0

∴I=∫

−1

0

9+16(1−t

2

)

dt

=∫

−1

0

9+16−16t

2

dt

=∫

−1

0

25−16t

2

dt

=

16

1

∫

−1

0

16

25

−t

2

dt

=

16

1

⎣

⎢

⎡

2×

4

5

1

log

∣

4

5

−t

4

5

+t

∣

⎦

⎥

⎤

−1

0

=

4

1

[

10

1

log

∣

5−4t

5+4t

∣

]

−1

0

=

40

1

[log

∣

5−0

5+0

∣

−log

∣

5+4

5−4

∣

]

=

40

1

[log1−log(

9

1

)]

=

40

1

[0+log9]

=

40

log9

Discussion

39.	Solve the following: (a) Find the solution of system of linear equations by using Cramer's Rule5x + 3y + 7z=43x +26y + 2z = 97x + 2y +10z = 5
Answer» *This can be written as:\|A\| = 5(260 – 4) – 3(30 – 14) + 7(6 – 182)= 5(256) – 3(16) + 7(176)\|A\| = 0So, A is SINGULAR. THUS, the given SYSTEM is*

Discussion

40.	If we write 0.4 in p/q from the value of p+q us
Answer» ong>ANSWER: 7 Step-by-step explanation: Here I ATTACH the pic to the answer . . . Hope this answer HELPS you :) . . . . . Please MARK my answer as brainliest answer . . . . Drop some ♥︎♡♡♡♥︎♡♥︎♡♡♡♥︎

40.

If we write 0.4 in p/q from the value of p+q us

Answer»

ong>ANSWER:

7

Step-by-step explanation:

Here I ATTACH the pic to the answer

.

Hope this answer HELPS you :)

.

Please MARK my answer as brainliest answer

.

Drop some ♥︎♡♡♡♥︎♡♥︎♡♡♡♥︎

Discussion

41.	21° -7* - 3* +1Evaluate limx.log(1 + x)xo
Answer» ONG>ANSWER: SORRY I don't KNOW the answer Step-by-step explanation: snjjejjrhrhrhrhrhrjrjrhbrhdhdjekei

41.

21° -7* - 3* +1Evaluate limx.log(1 + x)xo

Answer» ONG>ANSWER:

SORRY I don't KNOW the answer

Step-by-step explanation:

snjjejjrhrhrhrhrhrjrjrhbrhdhdjekei

Discussion

42.	Factorise x^2+10x-39
Answer» ong>Answer: X2+10x-39=0 X2+13x-3x-39=0 x(x+13)-3(x+13)=0 (x+13)(x-3)=0 x=-13 or x=3 MARK me as a brianliant follow also

42.

Factorise x^2+10x-39

Answer»

ong>Answer:

X2+10x-39=0

X2+13x-3x-39=0

x(x+13)-3(x+13)=0

(x+13)(x-3)=0

x=-13 or x=3

MARK me as a brianliant

follow also

Discussion

43.	Find the product of (2/3 xy ) * (-15/10 xy^2)
Answer» ong>ANSWER: I have mentioned the answer in the PIC.. HOPE it helps...

43.

Find the product of (2/3 xy ) * (-15/10 xy^2)

Answer»

ong>ANSWER:

I have mentioned the answer in the PIC..

HOPE it helps...

Discussion

44.	How many integers from 700 to 800 are divisible by 7. Pls answer with the method
Answer» ong>Answer: 700, 707, 714, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798 Step-by-step explanation: are the numbers which are entirely divisible.

44.

How many integers from 700 to 800 are divisible by 7. Pls answer with the method

Answer»

ong>Answer:

700, 707, 714, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798

Step-by-step explanation:

are the numbers which are entirely divisible.

Discussion

45.	एक किलो आलू का मूल्य 8 रूपया था। मूल्य 12 रुपया हो गया।प्रतिशत वृद्धि ज्ञात कीजिए।
Answer» ong>Answer: MITOCHONDRIA are membrane-bound cell organelles (mitochondrion, singular) that generate most of the CHEMICAL energy needed to power the cell's biochemical reactions. Chemical energy PRODUCED by the mitochondria is stored in a small MOLECULE called adenosine triphosphate (ATP).

45.

एक किलो आलू का मूल्य 8 रूपया था। मूल्य 12 रुपया हो गया।प्रतिशत वृद्धि ज्ञात कीजिए।

Answer»

ong>Answer:

MITOCHONDRIA are membrane-bound cell organelles (mitochondrion, singular) that generate most of the CHEMICAL energy needed to power the cell's biochemical reactions. Chemical energy PRODUCED by the mitochondria is stored in a small MOLECULE called adenosine triphosphate (ATP).

Discussion

46.	A cycle was sold at a gain of 10%. Had it been sold for ₹70 more, the gain would have been 15%. Find the cost price of the cycle.
Answer» ONG>ANSWER: I don't KNOW SORRY for doing this

Discussion

47.	From a set of 12 cards numbered 1,2------------12, one card is drawn. What is the Probability that its number is a factor of 12
Answer» ong>Answer: 2, 3, 4, 6, 12 this is the RIGHT answer

47.

From a set of 12 cards numbered 1,2------------12, one card is drawn. What is the Probability that its number is a factor of 12

Answer»

ong>Answer:

2, 3, 4, 6, 12 this is the RIGHT answer

Discussion

48.	NO.12,13Q.NO.1. Fill in the blanks.1.percent means per2.profit = selling price -
Answer» ONG>Answer: 1. Percent means PER hundred. 2. Profit = Selling PRICE - Cost Price Hope it HELPS PLZ mark me as brainliest....

48.

NO.12,13Q.NO.1. Fill in the blanks.1.percent means per2.profit = selling price -

Answer» ONG>Answer:

1. Percent means PER hundred.

2. Profit = Selling PRICE - Cost Price

Hope it HELPS PLZ mark me as brainliest....

Discussion

49.	5musch will each child?
Answer» ong>Answer: Each CHILD will get 1.91 KG sweet. Step-by-step EXPLANATION:

49.

5musch will each child?

Answer»

ong>Answer:

Each CHILD will get 1.91 KG sweet.

Step-by-step EXPLANATION:

Discussion

50.	Please answer this. we have to find x
Answer» ONG>ANSWER: is this your EXAM TIME

Discussion

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hope this will help you

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