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The sum of the digits of a two digit number is 14.If the number formed by reversing the digits is less than the original number by 18.Find the original numbers .

Posted by Yash Thadani (Apr 23, 2017 12:34 a.m.) (Question ID: 5001)

• Let x = the 10's digit
Let y = the units
:
10x + y = the original two digit number
:
The sum of the digits of a two-digit number is 14.
x + y = 14
:
"If the digits are reversed, the number is 18 less than the original number."
Rev no. = orig no. - 18
10y + x = 10x + y - 18
10y - y = 10x - x - 18
9y = 9x - 18
simplify, divide by 9
y = x - 2
:
In the sum equation replace y with (x-2)
x + (x-2) = 14
2x = 14 + 2
2x = 16
x = 8
obviously y = 6
:
86 is the original number
:
:
Check solution in the statement:
"If the digits are reversed, the number is 18 less than the original number."
68 = 86 - 18

Answered by Aashka Shah (Apr 23, 2017 7:48 a.m.)
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In a colony 6/8 of the total people were females.If the number of females is 36 more than that of the males ,how many males were there in the colony.

Posted by Yash Thadani (Apr 15, 2017 9:20 p.m.) (Question ID: 4894)

• Solution : let total number of people = x

Number of female = {tex}6x\over 8{/tex}

No of male = Total people - no of female

{tex}x - {6x \over 8} = {2x\over 8}{/tex}

According To Ques,

{tex}=> {6x\over 8} = 36 + {2x\over 8}{/tex}

{tex}=> {6x\over 8} - {2x\over 8} = 36{/tex}

{tex}=> {4x\over 8} = 36 {/tex}

=> x = 72

So No.of male = {tex}=> {2\over 8} \times 72 = 18{/tex}

Answered by Payal Singh (Apr 17, 2017 6:36 a.m.)
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After travelling a distance of 32 4/5kmamera found tht she is still to cover 5/7 of the whole distance. What is the total distance covered by Amera?

Posted by Yash Thadani (Apr 12, 2017 5:34 p.m.) (Question ID: 4859)

• Let the total distance covered be x km.

Then according to question,

{tex}32{4 \over 5} + {5 \over 7}x = x{/tex}

=>     {tex}x - {5 \over 7}x = 32{4 \over 5}{/tex}

=>     {tex}{{7x - 5x} \over 7} = {{164} \over 5}{/tex}

=>     {tex}{{2x} \over 7} = {{164} \over 5}{/tex}

=>     {tex}x = {{164} \over 5} \times {7 \over 2}{/tex}

=>     {tex}x = {{1148} \over {10}}{/tex}= {tex}114{8 \over {10}}{/tex}km = 114.8 km

Answered by Rashmi Bajpayee (Apr 15, 2017 12:58 p.m.)
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0.99999999........ Is a rational number or irrational number??

Posted by Sanjay Tiwari (Apr 11, 2017 8:55 p.m.) (Question ID: 4839)

• It can be written in the form of p/q where q is not 0

Posted by Akanksha Sinha (Apr 22, 2017 7:34 p.m.)
• It is a rational number.

Answered by Rupender singh (Apr 15, 2017 9:26 a.m.)
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0.999999999...........Is a rational number or irrational number ??

Posted by Sanjay Tiwari (Apr 11, 2017 8:55 p.m.) (Question ID: 4838)

• Rational no. Yes check itt

Answered by Arathi Naland (Apr 12, 2017 10:40 a.m.)
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223223223+23453332

Posted by Sheetal 1978 (Apr 10, 2017 5:56 p.m.) (Question ID: 4812)

• 246676555

Answered by Vishanshu Rajak (Apr 10, 2017 7:04 p.m.)
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1/2+(-1/6)+(-2/3)+2/6 evaluate the following by grouping the rational no using the associative and communicative properties of addition

Posted by Sudha Rana (Apr 06, 2017 8:29 p.m.) (Question ID: 4747)

Posted by Sudha Rana (Apr 07, 2017 7:26 a.m.)
• {tex}{1 \over 2} + \left( {{{ - 1} \over 6}} \right) + \left( {{{ - 2} \over 3}} \right) + {2 \over 6}{/tex}

= {tex}{1 \over 2} - {1 \over 6} - {2 \over 3} + {2 \over 6}{/tex}

= {tex}{1 \over 2} - {2 \over 3} + \left( {{2 \over 6} - {1 \over 6}} \right){/tex}

= {tex}{1 \over 2} - {2 \over 3} + {1 \over 6}{/tex}

= {tex}{1 \over 2} + \left( {{1 \over 6} - {2 \over 3}} \right){/tex}

= {tex}{1 \over 2} + \left( {{{1 - 4} \over 6}} \right){/tex}

= {tex}{1 \over 2} - {3 \over 6}{/tex}

= {tex}{1 \over 2} - {1 \over 2}{/tex}

= 0

Answered by Rashmi Bajpayee (Apr 07, 2017 10:24 a.m.)
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I spent 5% of my total income in charity, 22% in buisness and 53% in family. Now i Had Rs. 2163 and forty paisa.  Find my total income

Posted by Senthil Nathan (Mar 23, 2017 7:31 p.m.) (Question ID: 4455)

• Total expenditure = 5% + 22% + 53% = 80%

Money left = 100% - 80% = 20%

Let total income be Rs. x.

According to question,

20% of x = 2163.40

20/100 × x = 2163.40

x = 2163.40 × 100 ÷ 20

x = Rs. 10817

Therefore total income is Rs. 10817.

Answered by Rashmi Bajpayee (Mar 24, 2017 4:49 p.m.)
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A person has deposited amount at 12% rate find out years to make principle double.

Posted by Rathi Kajal (Mar 21, 2017 9:06 a.m.) (Question ID: 4305)

• Let amount deposited be P. Then amount after required years will be 2P.

Now, S.I. = P x R x T / 100

S.I. = P x 12 x T / 100 = 2PT/25

Amount = P + S.I

2P = P + (2PT/25)

P = 2PT/25

2T = 25

T = 12.5

Therefore the time required for principal double is 12.5 years.

Answered by Rashmi Bajpayee (Mar 21, 2017 1:41 p.m.)
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At what rate ,  Rs 9900 amount to 13365 in 5 years

Posted by Rathi Kajal (Mar 20, 2017 11:23 p.m.) (Question ID: 4293)

• SI = (P X R X T )/100

P = Rs. 9900

A= Rs. 13,365

SI = A-P = Rs.3465

T = 5years

3465 X 100 = 9900 X R X 5

R = 7%

Answered by Shweta Gulati (Mar 21, 2017 1:12 a.m.)
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A cylindrical roller has perimeter 3.5 m and dimeter 2.8 m if roller rolled 200 times , find area of playground

Posted by Rathi Kajal (Mar 20, 2017 11:21 p.m.) (Question ID: 4292)

The cube of metal 3,4,5cm are melted and made in to single cube. Find the side of cube.

Posted by Rathi Kajal (Mar 20, 2017 11:19 p.m.) (Question ID: 4291)

• Volume of single cube = 33+43+53

a3 = 27+64+125

a3= 216

a3= 63

a=6cm

Answered by Shweta Gulati (Mar 21, 2017 1:15 a.m.)
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A person throw bucjet if water of square shape if total water is 8 litre  . Find out side of bucket.

Posted by Rathi Kajal (Mar 20, 2017 11:18 p.m.) (Question ID: 4290)

• Ans. Volume of water = 8 L = 0.008m3

Let Side of bucket = x m

Volume of bucket = Volume of water

=> x3 = 0.008

=> x3 = (0.2)3

=> x = 0.2 m  = 20 cm

Side of bucket is 20 cm

Answered by Naveen Sharma (Mar 21, 2017 7:38 a.m.)
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There are chikens with color 50 yellow 50 black and 50 red. Find inique probability of all colors.

Posted by Rathi Kajal (Mar 20, 2017 11:17 p.m.) (Question ID: 4289)

At what rate % per annum will rs 50000 to rs 86400 in 3 years if interest compounded annually

Posted by Rathi Kajal (Mar 20, 2017 11:15 p.m.) (Question ID: 4288)

• Ans. Amount (A)= 86400

Time(n) = 3 years

Principal (P)= 50000

Let rate (r) = r%

Then We Know,

{tex}A = P \times ({1 +{r\over 100}})^n{/tex}

{tex}=> 86400 = 50000\times ({1+{r\over 100}})^3{/tex}

{tex}=> {86400\over 50000} = ({1+{r\over 100}})^3{/tex}

{tex}=> {216\over 125} = ({1+{r\over 100}})^3{/tex}

{tex}=> ({6\over 5})^3= ({1+{r\over 100}})^3{/tex}

On comparing, We get

{tex}=> ({6\over 5})= ({1+{r\over 100}}){/tex}

{tex}=> {6\over 5} - 1= {r\over 100}{/tex}

{tex}=> {1\over 5} = {r\over 100} => r = 20\%{/tex}

Answered by Naveen Sharma (Mar 21, 2017 7:31 a.m.)
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Find compound interest on rs 25000 for 1 and half year at 20% rate compounded half yearly.

Posted by Rathi Kajal (Mar 20, 2017 11:13 p.m.) (Question ID: 4287)

Find out the probability of getting of king from red cards , club cards and face cards in well shuffled deck of cards.

Posted by Rathi Kajal (Mar 20, 2017 11:12 p.m.) (Question ID: 4286)

• Ans. Total cards = 52

Total red kings = 2

P(red king) = 2/52 = 1/26

Total Club cards = 13

P(club card) = 13/52 = 1/4

Total Face Card = 12

P(Face card) = 12/52 = 3/13

Answered by Naveen Sharma (Mar 21, 2017 7:20 a.m.)
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In obroi hotel there is enough provision for 90 customers for 20 days , if 30 more customer checked in after 4 days . Find out how many days same provision last.

Posted by Rathi Kajal (Mar 20, 2017 11:06 p.m.) (Question ID: 4284)

• Ans. No. of Customers = 90

Food available for days = 20

After 4 days,

No of customers = 90 + 30 = 120

90 Customers ll use food = 16 days

1 customer ll use food = 16*90 = 1440

120 Customers ll use food = 1440/120 = 12 days

Answered by Naveen Sharma (Mar 21, 2017 8 a.m.)
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The strangth of class decreased every year at 10%. If strangth of class was 70000    2 year ago . Find present strangth.

Posted by Rathi Kajal (Mar 20, 2017 11:03 p.m.) (Question ID: 4281)

•  Ans. Strength of class 2 years ago = 70000

Decreasing rate = 10%

Strength after 1 year = {tex}70000 - {70000\times 10\over 100} = 70000-7000{/tex}

=> 63000

Present Strength = {tex}63000 - {63000\times 10\over 100} = 63000-6300{/tex}

=56700

Answered by Naveen Sharma (Mar 21, 2017 7:15 a.m.)
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There has number 1 to 8 find,

1   probabolity of 7

2   even no

3    multiple of 3

4    factor of 28

Posted by Rathi Kajal (Mar 20, 2017 10:57 p.m.) (Question ID: 4277)

• Ans. Total number = 8

(1) No of favourable case for 7 = 1

P(7) = 1/8

(2) total even numbers = 4

P(even No) = 4/8 = 1/2

(3) Total multiple of 3 = 2

P(Multiple of 3) = 2/8 = 1/4

(4) Factors of 28 = 2

P(Factor of 28) = 2/8 = 1/4

Answered by Naveen Sharma (Mar 21, 2017 7:05 a.m.)
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Meena drink 3 tins of softdrinks , each tin has base radius 7cm and height 14cm . He threw all tin on ground.

1   Find total softdrinks in cubic cm.

2   advice to be given that the compaign run by govt.

Posted by Rathi Kajal (Mar 20, 2017 10:53 p.m.) (Question ID: 4276)

• Ans. Radius of tin = 7cm

Height of tin = 14cm

Volume of tin = {tex}=> \pi r^2h=> {22\over 7}\times 49\times 14 = 2156cm^3{/tex}

(1) As she drinks 3 tin,

Then total volume = 3*2156 = 6468 cm3

Answered by Naveen Sharma (Mar 21, 2017 7:02 a.m.)
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A painter got certain amount and donate 1/4th of it to pm welfare fund. If the dimension of the area is 12×10×10 and rate 10rs/m sq

1.   Find total money

2.   Find denoted money

3.   Value promoted

Posted by Rathi Kajal (Mar 20, 2017 10:49 p.m.) (Question ID: 4275)

A train running a uniform 120km/hr. Find distance covered by train.

Posted by Rathi Kajal (Mar 20, 2017 10:46 p.m.) (Question ID: 4273)

A painter got certain amount and donates 1/4 th of it to welfare fund . If the dimension of area is 10×12×10m and rate 10rs/m sq.  Find out total money and denoted money value showned.

Posted by Rathi Kajal (Mar 20, 2017 10:45 p.m.) (Question ID: 4272)

A person has deposited amount at 12%rate . Find out years to make principle double.

Posted by Rathi Kajal (Mar 20, 2017 10:42 p.m.) (Question ID: 4271)

• Ans. Let Principal = 100 Rs.

Rate  = 12%

Amount = 200 ( as per question)

Interest = 200 - 100 = 100

Time required = {tex}Interest \times 100 \over Rate \times Principal{/tex}

{tex}=>{ 100\times 100 \over 12\times 100} = {25\over 3} = 8{1\over 3}Years{/tex}

= 8 Years 4 Months

Answered by Naveen Sharma (Mar 21, 2017 8:26 a.m.)
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A bag has something inside yellow red and black color. If 4y 3r 4b. Find probability of y r and not black.

Posted by Rathi Kajal (Mar 20, 2017 3:22 p.m.) (Question ID: 4200)

• Probabilty of yellow = 4/11

probability of red = 3/11

probability of not black = 7/11.

Answered by RAJENDRA SINGH (Mar 20, 2017 4:30 p.m.)
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A boy constructed a big wall with dimensions 8m , 6m ,22.5m. Find out no of bricks required if brick has dimension 25cm , 11.25cm ,6 cm.

Posted by Rathi Kajal (Mar 20, 2017 9:39 a.m.) (Question ID: 4181)

• Ans. Volume of Wall = {tex}8\times 6\times 22.5 = 1080 m^3 {/tex}

=> {tex} 1080 \times 10^6 cm^3 {/tex}

Volume of Brick = {tex}25\times 11.25 \times 6 =1687.5 cm^3{/tex}

Number of bricks = {tex}Volume \space of \space Wall \over Volume \space of \space Brick{/tex}

=> {tex} {1080\times 10^6 \over 1687.5} = 64\times 10^4 {/tex}

Answered by Naveen Sharma (Mar 20, 2017 11:03 a.m.)
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To celebrate holi a society has ordered water from municipility . The shape of the tank is rectangle with dimensions 12m ×16m×20m . Find out total water supplied in litre.

Posted by Rathi Kajal (Mar 20, 2017 9:25 a.m.) (Question ID: 4178)

• Ans. Dimensions of tank = 12m ×16m×20m

Volume of tank = 12m ×16m×20m= 3840m3

Water Supplied = Volume of Tank = 3840m3 = 3840000 L

Answered by Naveen Sharma (Mar 20, 2017 11:11 a.m.)
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A cylindrical shape tank whose base diameter 28m and height 14m find the capacity of water tank in litre.

Posted by Rathi Kajal (Mar 20, 2017 9:06 a.m.) (Question ID: 4175)

• Ans. Diameter of  base of tank = 28m

Radius of base of tank = 28/2 = 14m

Height of tank = 14m

Volume of tank = {tex}\pi r^2h{/tex}

=> {tex}{22\over 7} \times 196\times 14 = 8624m^3{/tex}

We Know

1m = 1000L

So

Volume of tank in L =8624000L

Answered by Naveen Sharma (Mar 20, 2017 11:21 a.m.)
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A train is covers 300 km in 180 minutes . Find the timing to cover 350 km.

Posted by Rathi Kajal (Mar 20, 2017 8:49 a.m.) (Question ID: 4174)

• distance(km)                    time(minutes)

300                                   180

350                                     ?

=  350x180 divided by 300

=  63000 divided by 300

=  210 minutes

Answered by urvi bhatt (Mar 20, 2017 1:20 p.m.)
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