**1. Ayisha’s age is 1/6th of her father’s age. Ayisha ‘s father’s age will be twice the age of Shankar’s age after 10 years. If Shankar’s eight birthdays was celebrated two years before, then what is Ayisha ‘s present age.**

**2.The present ages of A,B and C are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?**

**3.39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?**

**4.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?**

**5.If 6 years are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 years younger to Denis whose age is 5 years, then what is Ajay ‘s present age?**

**6.he difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number?**

**7.The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?**

**8.A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?**

**9.Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:**

**10.A manufacture offers a 10% discount on the market price of a machine and yet makes a profit of 10%. If he gains Rs. 900 per machine, what is the market price of each machine?**

**ANSWERS AND SOLUTION**

**1.(D)Explanation :**

Consider Ayisha’s present age = x

Then her father’s age = 6x

Given that Ayisha ‘s father’s age will be twice the age of Shankar’s age after 10 years

=> Shankar’s age after 10 years = Â½(6x + 10) = 3x + 5

Also given that Shankar’s eight birthdays was celebrated two years before =>Shankar’s age after 10 years = 8 + 12 = 20

=> 3x + 5 = 20

=> x = 15/3 = 5

=> Ayisha ‘s present age = 5 years

** 2(D)Explanation :**

Let’s take the present age of A,B and C as 4x, 7x and 9x respectively

Then

(4x – 8) + (7x â€“ 8) + (9x â€“ 8) = 56

=> 20x = 80

=> x = 4

Hence the present age of A, B and C are 4Ã—4, 7Ã—4 and 9Ã—4 respectively

ie, 16,28 and 36 respectively.

**3(B)Explanation:**

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

Persons 30 : 39

:: 12 : x

Working hours/day 6 : 5

30 x 6 x x = 39 x 5 x 12

x = (39 x 5 x 12)/(30 x 6)

x = 13.

**4(C)Explanation :**

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed in the ratio 1 : 1

So their average price = (126+135)2=130.5

Hence let’s consider that the mixture is formed by mixing two varieties of tea.

one at Rs. 130.50 per kg and the other at Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. Now let’s find out x.

By the rule of alligation, we can write as

Cost of 1 kg of 1st kind of tea Cost of 1 kg of 2nd kind of tea

130.50 x

Mean Price

153

(x – 153) 22.50

(x – 153) : 22.5 = 1 : 1

=>x – 153 = 22.50

=> x = 153 + 22.5 = 175.5

**5 (B)Explanation :**

Present age of Denis = 5 years

Present age of Rahul = 5-2 = 3

Let the present age of Ajay = x

Then (x-6)/18 = present age of Rahul = 3

=> x- 6 = 3Ã—18 = 54

=> x = 54 + 6= 60

**6(B)Explanation**

Let the original number be x.

Let A be the value obtained when x is increased by 12.5%.

Therefore, A = x + 12.5% of x

Let B be the value obtained when x is decreased by 25%.

Therefore, B = x – 25% of x

The question states that A – B = 30

i.e., x + 12.5% of x – (x – 25% of x) = 30

x + 12.5% of x – x + 25% of x = 30

37.5% of x = 30

x = 30/37.5*100 = 8

**7 (D)Explanation :**

Let the present age of the man and his wife be 4x and 3x respectively.

After 4 years this ratio will become 9:7

=> (4x + 4)/ (3x + 4) = 9/7

=> 28x + 28 = 27x + 36

=> x = 8

=> Present age of the man = 4x = 4Ã—8 = 32

Present age of his wife = 3x = 3Ã—8 = 24

Assume that they got married before t years. Then

(32 â€“ t) / (24 â€“ t) = 5/3

=> 96 â€“ 3t = 120 â€“ 5t

=> 2t = 24

=> t = 24/2 = 12

**8(D) Explanation**

Let there by ‘x’ chickens and ‘y’ pigs.

Therefore, x + y = 200 — (1)

Each chicken has 2 legs and each pig has 4 legs

Therefore, 2x + 4y = 540 — (2)

Solving equations (1) and (2), we get x = 130 and y = 70.

There were 130 chickens and 70 pigs in the farm.

**9(C)Explanation:**

Part filled in 2 hours = 2/6 = 1/3

Remaining part = (1 – 1/3) = 2/3

(A + B)’s 7 hour’s work = 2/3

(A + B)’s 1 hour’s work = 2/21

C’s 1 hour’s work = { (A + B + C)’s 1 hour’s work } – { (A + B)’s 1 hour’s work }

= (1/6 – 2/21) = 1/14

C alone can fill the tank in 14 hours.

**10(D)Explanation :**

Let m price = 100

Discount = 10%

so SP = 90

Profit = 10%

Cp= 90×100/110= 900/11

Profit= Sp- Cp , (90-81.81)= 8.19

profit Rs 8.19 then m price =100

so profit of a machine is Rs. 900 then m price is 11000

Thank u mam

1-d

ðŸ™‚

itne jaldi ..omg

I think iam too slowin maths

In telugu Ruchi means taste…..ji

d d b c b b d a c c

1-D 2-D 3-B 4-C 5-B6-B 7-D 8-D 9-C 10-C

Bro may be ur answers 7 & 8 are interchanged

ohh……i dnt knw hw to solve 6, 7,8,9 qstns

Plz check d question,,,answer is 8 na,,

Yep 8th wil be d, 7th is correct

wait…. for ans ðŸ™‚

hmm k ðŸ™‚

d,d,b,c,b,b,d,d,c,c

gm kumar… let's wait for ans kumar

hi ans for 8th one is D cheak it once

Yes 7-d

7th ans is D

any one here??

K bro,,may be ur answer is currect,,

the answer of ques no 10 will be 9900?

If I am incorrect do tell me the process and the right answer

R u from krishna

1-d

2-d

3-b

4-

5-b

6-b

7-

8-d

9-c

10-

10th should be D

10 d

I think 100%

Refresh!!!!

Mam?

Yes?

Mam is there is any changes in CGL exam syllabus?

No,Right now there is no notifications about any change in SSC pattern.

K Mam ðŸ™‚ Thanks ðŸ™‚

SSC QUIZ – BIOLOGY

http://www.sscadda.com/2015/04/ssc-quiz-biology.html

I thnk answer of tenth is wrong ,right one is option c