 # SSC Maths Questions with Solutions PDF for CGL, MTS, CHSL at Smartkeeda

Important for :
1
A right circular cone is cut by 3 planes parallel to its base. The planes cut the altitude of the cone in four equal parts. Find out the ratio of volume of each part.
» Explain it
A Volume of cone, V ∝r3  ∝h3

Volume of 1st part, a ∝ h3

Volume of 2nd part, b ∝ 8h3– h= 7h3

Volume of 3rd part, c∝ 27h3– 8h=19h3

Volume of 4th part, d ∝ 64h3– 27h= 37h3

Therefore, required ratio = h3 ∶ 7h3 ∶ 19h3 ∶ 37h= 1 ∶ 7 ∶ 19 ∶ 37

Hence, option A is correct.

2
A merchant uses a weight of 125 gram instead of 100 gram while buying an article. He used 80 gram instead of 100 gram while selling. He marked up the price by 20% and then offers 20% discount. Find the overall profit or loss percentage.
» Explain it
D
Effective ratio of SP to CP

 = 125 × 100 × 120 × 80 = 3 100 80 100 100 2

 Therefore Profit Percentage = 1 ×100 = 50 % 2

Thus , D is the correct answer.

3
If x =
 √5 + 1
,
 √5 – 1

then the value of 5x2 – 5x – 1 will be
» Explain it
C
According to the given question

we have,

x =
 √5 + 1
=
 √5 + 1 √5 – 1
 √5 – 1

Now, Numerator and denominator multiplied by (√5 + 1)

x =
 (√5 + 1) × (√5 + 1) (√5 – 1) (√5 + 1)
=
 (√5 + 1)2 5 – 1
=  √5 + 1
2

Now we also have, 5x2 – 5x – 1

put value of x in above equation

 ⇒ 5 ( √5 + 1 ) 2 – 5 ( √5 + 1 ) – 1 2 2

 ⇒ 5 (6 + 2√5) – 5√5 – 5 – 1 4 2

 ⇒  5 (3 + √5) – 5√5 – 5 – 2 2 2

 ⇒ 15 + 5√5 – 5√5 – 7 = 8 = 4 2 2

Hence, option C is correct.

4
The ratio of the work done by 50 women to the work done by 25 men, in the same time is 4 : 3. If 18 women and 12 men can finish a piece of work in 5 days, then how many women can finish the same work in 20/3 days?
» Explain it
B
Given that,

The ratio of the work done by 50 women and 25 men is

 1 : 1 3 4

The ratio of the work done by one man and one woman
 = 1 : 1 150 100

Let the time taken by one woman and one man to complete the work be 150x and 100x respectively.
 18 × 5 + 12 × 5 = 1 150x 100x

 x = 6 5

Time taken by one woman and one man to complete the work be 180 days and 120 days respectively.

The number of women worked for 20/3 days to complete the work
 = 3 × 180 = 27 20

Hence, option B is correct.

5
Two varieties of sugar are mixed in the ratio 3 : 2 and sold for ₹80 per kg to make a profit of 25%. If the cost of the variety of sugar whose quantity is more is ₹40 per kg, what is the cost of the other variety of sugar?
» Explain it
D
Sale price of the mixture = Rs.80

 Cost price of mixture = 80 × 100 = Rs. 64 125

 Rs. 40 Rs. x \ / Rs. 64 / \ x – 64 24

 ⇒ x – 64 = 3 ⇒ x = Rs. 100 24 2

Hence, option D is correct.

## SSC Maths Questions with Solution PDF for CGL, CHSL, MTS | Smartkeeda

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Maths Syllabus and Questions for SSC CGL and SSC CHSL 2019 or 2020 Exams
Hello Aspirants, the wait is over now SSC finally released their 2019 exams calendar in 2020. It means all SSC Exams will be conducted in 2020. Now each aspirant have to start more and more practice to gain a high score in the exam. In this exercise, you will find maths questions for SSC CGL 2020, SSC CHSL 2020 and Other SSC Exams at Free of Cost. The above exercise is made by our maths experts, they brought you Most Important Maths Questions for SSC CGL 2020 with Explanation. So you can get the desired job easily or you can say practice by practice the minimum number of question which has a high probability to appear in your next big exams SSC CGL 2020, these exercises will update on a regular basis which through you can practice variety questions of maths. You can even practice here mixed exercise of SSC CGL and Individual ones. Individuals exercise are made of single chapters quizzes.

Geometry: Is it possible to find the height of a tower by merely observing the length of its shadow and the position of the sun? Is it within our powers to deduce the dimensions of a cylindrical container by measuring the height and circumference of the heap of grain that has been poured out of it? One doesn’t need to be a Sherlock Holmes to crack these mysteries. Anyone with an elementary knowledge of geometry will be able to answer these questions. Geometry plays a major role in SSC Exams 2 to 3 questions generally being asked in SSC CGL Tier 1 and SSC CHSL and questions number increased as per the total number of question in particular exams like in SSC CGL Tier 2, that value increased by 5 to 10 questions.  Here are some Important Geometry Chapters Links:

Arithmetic: Arithmetic plays a major role in every competitive exam, almost 60 to 70 percent questions made from arithmetic maths. So it obvious it is most important for SSC Exams as well. Here are some Arithmetic Chapters Link for SSC Exams:

Mensuration: How many tiles measuring 12 ft × 6 ft would you need to completely tile a wall that has an area of 72 sq. ft? You can answer this and many other such questions by modeling mensuration formulas. Mensuration involve known values, such as the dimensions of each tile and the area of the wall, and unknown values, such as the number of tiles required. Generally, these expressions are in the form of equations where the unknown values are represented using formulas. Here are links of Mensuration Exercise for SSC Exams: