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SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - SSC CGL MCQ


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20 Questions MCQ Test - SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 for SSC CGL 2024 is part of SSC CGL preparation. The SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 below.
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SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 1

A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, : 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him?    (SSC CHSL-2018)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 1

Quantity in container of capacity

Quantity in container of capacity

Milk in three Containers

Ratio of milk to water 

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 2

What is the ratio of the mean proportional between 8.1 and 3.6 and the third proportional of 2 and 3?    (SSC Sub-Inspector-2018 )

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 2

Mean proportion of 8.1 and 3.6 = 11.7/2 = 5.8
and third proportion of 2 and 3 is = 3/0.66 = 4.5

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 3

Raman, Manan, and Kamal are partners and invest in a business such that Raman invests 2/5th of total and Manan invest 3/8th of the total. What is the ratio of profit of Raman, Manan and Kamal respectively?    (SSC Sub. Ins. 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 3

Let total investment = x
Investment by Raman = 2x / 5
Investment by Manan = 3x / 8
Investment by Kamal 
Ratio of invest of Raman, Manan and Kamal

∴ Ratio of profit of Raman, Manan and Kamal
= 16 : 15 : 9

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 4

If 2A = 3B and 3B = 2C, then what is A : B : C?    (SSC Sub. Ins. 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 4

Here,
2A = 3B and 3B = 2C

Then A = 3k,  B = 2k,  C = 3k,
∴ A : B : C = 3 : 2 : 3

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 5

A litre of water weighs a kilogram, a litre of an other liquid weighs 1.340 kilograms. A mixture of the two weighs 1.270 kilograms per litre. The ratio of their volumes in a litre of the mixture is:    (SSC MTS 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 5

According to the question,

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 6

Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is 7/12. The numbers are:    (SSC MTS 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 6

Let third number = x
then,
second number = 2x
first number = 4x
According to question,

∴ first number = 4x = 4 × 9 = 36
second number = 2x = 2 × 9 = 18
third number = x = 9

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 7

1/2 of A = 2/5 of B = 1/3 of C, then A : B : C is:    (SSC MTS 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 7

According to question,

∴ A : B : C = 4 : 5 : 6

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 8

The sum of the present ages of father and son is 90 years. 10 years earlier the ratio of their ages was 5 : 2. The present age of the father is:    (SSC MTS 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 8

Let present age of father = x
present age of son = y
According to question,
x + y = 90

⇒ 2x – 5y = –30 ...(ii)
from eq. (i) and (ii); x = 60 ; y = 30
∴ The present age of father = 60 years.

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 9

The third proportional of two numbers 9 and 24 is    (SSC CHSL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 9

Here, a = 9, b = 24 and c = ?

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 10

If A : B = 2 : 5, B : C  = 4 : 3 and C : D = 2 : 1, then what is value of A : C : D?    (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 10

A : B = 2 : 5

∴ Value of A : C : D = 16 : 30 : 15

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 11

A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. It the schemes offered compound interest at the rate of 20% per annum, 15% per annum and  10% per annum respectively, then what will be the ratio of their amounts after 1 year?    (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 11

Let A, B, and C invested amounts in the ratio 300 : 400 : 500 respectively.
then,
∴ Required ratio

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 12

₹ 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in ₹) between the share of B and C?    (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 12


∴ Difference between B and C = (1600 – 1000)  = ₹ 600.

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 13

 then what is the ratio of P and Q respectively?    (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 13

According to question,

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 14

The ratio of the radii of two cylinders is 2 : 1 and their heights are in the ratio 3 : 2. Then their volumes are in the ratio    (SSC Sub. Ins. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 14

Ratio of volumes

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 15

A can is full of a mixture of a two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can initially was    (SSC Sub. Ins. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 15

Suppose, the can initially contains 7x and 5x of volume of a mixtures of A and B of volume respectively.
ATQ

⇒ 252 x – 189 = 140x + 147
⇒ 112x = 336 ⇒ x = 3
So, the can contained 21 litres of A initially.

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 16

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is:    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 16

Let the number be 3x and 4x    
(3x)3 + (4x)3 =  5824
⇒ 27x3 + 64x3 =  5824 ⇒ 91x3 =  5824
⇒ x3 =  64 ⇒ x =  4
∴ Sum of numbers are = x(4 + 3) = 4× 7 = 28

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 17

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax – 8, then a is    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 17

Let x, y and z be 2m, 3m and 5m.
According to Question,
2m + 3m + 5m = 80
⇒ 10m = 80 ⇒ m = 8
z = a, x – 8
∴ 5(8) = a(2)(8) – 8
⇒ 40 + 8 = 16 a ⇒ 48 = 16 a ⇒ a = 3

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 18

A and B invest ₹ 3000 and ₹ 2400 respectively in a business. If, after one year, there is a loss of ₹ 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 18

A invested = ₹ 3000
B invested = ₹ 2400

According to Question,
(A + B) = ₹ 720
⇒ A = 720 – B

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 19

The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 19

Ratio of boy and girl = 7 : 5
Number of student = 720

Number of Boy = 720 – 300 = 420
Number of girl needed = 420 – 300 = 120

SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 20

If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Ratio, Proportion, Mixture and Partnership - 1 - Question 20

B2 - A2 = 81

Squaring both sides, we get

both sides subtract 1

Shortcut Method:
Let A be 4x and B be 5x
(5x)2 – (4x)2 = 81 (given)
9x2 = 81 ∴ x = 3
A = 3 × 4 = 12

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