Tips to Solve Geometry in SSC CGL Quantitative Aptitude

Updated On -

Jun 30, 2017 Shivani Tiwari

Content Curator

Geometry is an important topic under Quantitative Aptitude from where questions are asked every year. The topic comprises 4 to 5 questions on an average every year (since 2011 exam) and is easy for candidates to solve these questions.

Quantitative aptitude in SSC CGL is one section which comprises one fourth of the paper and values 50 marks. The best part about aptitude is that you can easily score around 40 marks if you are clear with your concepts and know some handy tricks (that can effectively reduce the time taken to solve the questions).

The change in the duration of the exam means that now candidates would have less amount of time per question and hence their speed and accuracy would be at the test. In such a situation holding onto your strengths would be a key to success. By saying that we mean that you should try to maximize the score in sections which are your core strength areas and also sections which have a high scoring possibility.

In this article, we will discuss in details about the questions from Geometry portion of quantitative aptitude that are asked in the SSC CGL exam.

### Weightage over the years

Geometry is an important topic of SSC CGL Quantitative Aptitude. Each year around 4 questions are asked from the topic. Since the number of questions has been reduced from 200 to 100 from last year in the SSC CGL Tier 1 exam the relative number of question has also come down to around 3 under this topic, however, the percentage wise weightage has remained same. For your reference, we have tabled the weightage of this topic in previous year papers.

Year Number of questions
2010 4
2011 4
2012 11
2013 5
2014 10
2015 7
2016 5

Apart from SSC’s CGL exam, the Geometry topic has a good weightage in other SSC exams as well like the SSC CPO, SSC LDC, and SSC Stenographer etc.

The questions asked from geometry in the exam are mostly formula based direct question or application of formulas in a logical manner. Questions are also asked where there is a combination of two figures or one figure is embedded inside the other and the candidates have to find the area of the remaining portion.

The level of the questions asked in the exam is Matriculation level and with little bit of practice and understanding one can easily solve those 3 to 4 questions from this section. For your reference, we have listed the various types of questions asked in geometry in SCC CGL exam.

• Questions based directly on formula
• Embedded figures
• Combination of two figures
• Questions based on application of formula to some give problem
• Area and volume based questions, where either of the one is given and height and radius might be asked.

### Important Formulae

Formulas are the backbone of geometry. To ace them is important to ace the geometry section. To help you out a bit we have listed some important formulas of geometry which are very helpful in solving questions from this topic.

#### Some important formulae:

1. Area of rectangle (A) = length (l) * Breadth (b);

2. Perimeter of a rectangle (P) = 2 * (Length (l) + Breadth (b))

3. Area of a square (A) = Length (l) * Length (l)

4. Perimeter of a square (P) = 4 * Length (l)

5. Area of a parallelogram (A) = Length (l) * Height (h)

6. Perimeter of a parallelogram (P) = 2 * (length (l) + Breadth (b))

7. Area of a triangle (A) = (Base (b) * Height (b)) / 2

And for a triangle with sides measuring “a” , “b” and “c” , Perimeter = a+b+c

And s = semi perimeter = perimeter / 2 = (a+b+c)/2

10. Area of trapezium (A) =(a+b)/2

Where, “a” and “b” are the length of parallel sides.

11. Perimeter of a trapezium (P) = sum of all sides

12. Area f rhombus (A) = Product of diagonals / 2

13. Perimeter of a rhombus (P) = 4 * l

Where l = length of a side

14. Area of quadrilateral (A) = 1/2 * Diagonal * (Sum of offsets)
15. Area of a Kite (A) = 1/2 * product of its diagonals

16. Perimeter of a Kite (A) = 2 * Sum on non-adjacent sides

19. Total surface area of

cuboid = 2(lb+bh+lh)

where, l= length , b=breadth , h=height

20. Total surface area of

cuboid = 6l2

where, l= length

23. Volume of cuboid = l * b * h

24. Volume of cube = l * l* l

29. Surface area of triangular prism = (P * height) + (2 * area of triangle)

Where, p = perimeter of base

30. Surface area of polygonal prism = (Perimeter of base * height) + (Area of polygonal
base * 2)

31. Lateral surface area of prism = Perimeter of base * height

32. Volume of Triangular prism = Area of the triangular base * height

### Tips and Tricks to solve Geometry questions

As we discussed earlier that quantitative aptitude is a scoring section and topic like geometry makes it easier for you to boost your score thus, it is important that you tackle them out with a proper strategy. To ease your tension a bit we would here provide you some effective tips and tricks to solve the questions from this section with great accuracy.

• First of all make a list of all important formulas (provided above) and memorize them logically so as to apply them in questions.
• Since more than 90% questions in geometry involve use of formulas it is inevitable to avoid them. Thus, make an effective note of them and look for application based problems from this section.
• Gather all the questions you can on the topic. Take a help of both online and offline sources for that purpose. Keep in mind that collected questions are credible in nature as many websites/books give wrong answers to these questions so, be careful.
• After collecting a good number of questions say 100 to 200 start practicing slowly. Read the question and try to solve it without noting out the time taken to solve.
• After solving around 30 to 40 questions in this manner you will start getting comfortable with the kind of questions they make. Now, the time taken by you to solve the question will also reduce. After you achieve this much, keep practicing and try to increase the level (optional).
• When you have done over 100 to 200 questions and are satisfied with your performance you would realize that you are taking less than a minute to solve the question. If you have followed the plan diligently so far then by now no question from this topic would be alien to you.

### Challenges Faced by Students in Geometry

Though it is an easy and scoring topic many a times students find themselves confused while solving these questions. The reason for this is that there are lots of formulas to remember and students often tend to forget one or the other. The sight of not remembering a formula to a question in the exam hall creates panic and students commit mistakes and lose out on marks.  Thus it is advised that you solve sufficient amount of questions from each topics so that the formulas are automatically engraved in your mind. Practice is the key to success as they say.

### Sample questions

For your reference, purpose we have listed some sample questions from geometry which are similar in nature to the one asked in exam. Have a look at these questions and try to solve them.

1. What is the area of an equilateral triangle of side 16 cm?
a) 243 cm2
b) 64 3 cm2
c) 363 cm2
d)323 cm2

2. Consider the following figure. a. 1250
b. 550
c. 1550
d. 1220

3. Find the area of a square, the product of whose diagonals is 66 cm2
a) 30 cm2
b) 33 cm2
c) 36 cm2
d) 42 cm2

4. A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
a) 9
b) 61
c) 98
d) 54

5. Find the area of a trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
a) 225 cm2
b)275 cm2
c) 285 cm2
d)315 cm2

6. Examine the figure. a. 115o
b. 25o
c. 50o
d. 65o

7. The sector of a circle has radius of 21 cm and central angle 1350. Find its perimeter.
a) 91.5 cm
b)93.5 cm
c) 94.5 cm
d) 92.5 cm

8. The volumes of two cones are in the ratio of 1 :10 and the radii of the cones are in the ratio of 1 : 2, what is the ratio of their vertical heights?
a) 2 : 5
b) 1 : 5
c) 3 : 5
4) 4 : 5

### Recommended Study material and websites

You can take the help of both the offline (Books) and online sources for preparation of this section. For your reference purpose, we have noted down both the recommended offline and online sources.

#### Recommended books

Book Author
Quantitative aptitude R.S. Aggarwal
NCERT Mathematics Class IX and X NCERT
Previous years questions for quantitative aptitude Kiran Publication