Territorial army written exam is now only two weeks away from its scheduled date, candidates must go through with their final steps of preparations. In this article we are sharing some tips for the candidates who are still lacking, or confused about their preparation level or need to review the preparation level.

#### How To Prepare for Territorial Army Exam in 30 Days

1) There are few simple **Territorial Army exam numerical ability maths formulas** you should keep on your finger tips to solves the mathematics question of Territorial Army** **question paper. Territorial Army exam paper consists of very basic mathematics questions and these formulas will help you to clear them easily:

**Decimal Fraction:**A decimal fraction is a fraction in which denominator is an integer power of ten. (The term decimals are commonly used to refer decimal fractions). Generally, a decimal fraction is expressed using decimal notation and its denominator is not mentioned explicitly.

Conversion of a Decimal into Common Fraction: Put 1 in the denominator under the decimal point and annex with it as many zeros as is the number of digits after the decimal point. Now, remove the decimal point and reduce the fraction to its lowest terms.

**Example**: 0.5 = 5/10=1/2

**Some Basic Formulas**:

- (a + b)(a â€“ b) = (a
^{2}â€“ b^{2}) - (a + b)
^{2}= (a^{2}+ b^{2}+ 2ab) - (a â€“ b)
^{2}= (a^{2}+ b^{2}â€“ 2ab) - (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2(ab + bc + ca) - (a
^{3}+ b^{3}) = (a + b)(a^{2}â€“ ab + b^{2}) - (a
^{3}â€“ b^{3}) = (a â€“ b)(a^{2}+ ab + b^{2}) - (a
^{3}+ b^{3}+ c^{3}â€“ 3abc) = (a + b + c)(a^{2}+ b^{2}+ c^{2}â€“ ab â€“ bc â€“ ac) - When a + b + c = 0, then a
^{3}+ b^{3}+ c^{3}= 3abc.

**Simplification:**Rule of â€˜BODMASâ€™ â€“ This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression. Full form of BODMAS is B â€“ Bracket, O â€“ of, D â€“ Division, M â€“ Multiplication, A â€“ Addition and S â€“ Subtraction. Thus, while solving or simplifying a problem, first remove all brackets, strictly in the order (), {} and ||. After removing the brackets, we will use the following operations strictly in the following order: (i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.**Average:**

Average = (Sum of observations/Number of observations)

**Percentage:**

- By a certain percent, we mean that many hundredths. Thus, x percent means x hundredths, written as x%. To express x% as a fraction: We have, x% = x/100
- To express a/b as a percent: We have, a/b = (a/b x 100)%
- Percentage Increase/Decrease: If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is: [(R/(100+R)) x 100]%. If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is: [(R/(100-R)) x 100]%.
- Result on Population: Let the population of a town be P now and suppose it increases at the rate of R% per annum, then: population after n years = P (1+(R/100))n Population n years ago= P/ (1+(R/100))n
- Result on Depreciation: Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. Then: Value of the machine after n years = P (1-(R/100)n , Value of the machine n years ago = P/ (1-(R/100)n, If A is R% more than B, then B is less than A by [(R/(100+R)) x 100] %, If A is R% less than B, then B is more than A by [(R/(100-R)) x 100] %

**Ratio:**

- The ratio of two quantities a and b in the same units, is the fraction and we write it as a : b. In the ratio a : b, we call a as the first term or antecedent and b, the second term or consequent. Eg. The ratio 5 : 9 represents 5/9 with antecedent = 5, consequent = 9.
- Rule: The multiplication or division of each term of a ratio by the same non-zero number does not affect the ratio. Eg. 4 : 5 = 8 : 10 = 12 : 15. Also, 4 : 6 = 2 : 3.

**Proportion:**The equality of two ratios is called proportion. If a : b = c : d, we write a : b :: c : d and we say that a, b, c, d are in proportion. Here a and d are called extremes, while b and c are called mean terms. Product of means = Product of extremes. Thus, a : b :: c : d (b x c) = (a x d).**Simple Interest:**

- Principal: The money borrowed or lent out for a certain period is called the principal or the sum.
- Interest: Extra money paid for using otherâ€™s money is called interest.
- Simple Interest (S.I.): If the interest on a sum borrowed for certain period is reckoned uniformly, then it is called simple interest. Let Principal = P, Rate = R% per annum (p.a.) and Time = T years. Then Simple Interest = (P x R x T)/100

**Profit and Loss:**

- Cost Price: The price, at which an article is purchased, is called its cost price, abbreviated as C.P.
- Selling Price: The price, at which an article is sold, is called its selling prices, abbreviated as S.P.
- Profit or Gain: If S.P. is greater than C.P., the seller is said to have a profit or gain.
- Loss: If S.P. is less than C.P., the seller is said to have incurred a loss.
- Gain = (S.P.) â€“ (C.P.)
- Loss = (C.P.) â€“ (S.P.)
- Loss or gain is always reckoned on C.P.
- Gain Percentage: (Gain %) = (Gain x 100) / C.P.
- Loss Percentage: (Loss %) = (Loss x 100) / C.P.
- Selling Price: (S.P.) = [ ((100 + Gain %)/100) x C.P.]
- Selling Price: (S.P.) = [ ((100 â€“ Loss %)/100) x C.P.]
- Cost Price: (C.P.)= [ (100/(100 + Gain %)) x S.P.]
- Cost Price: (C.P.)= [ (100/(100 â€“ Loss %)) x S.P.]
- If an article is sold at a gain of say 10%, then S.P. = 110% of C.P.
- If an article is sold at a loss of say, 20% then S.P. = 80% of C.P.
- When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by: Loss % = (x/10)2
- If a trader professes to sell his goods at cost price, but uses false weights, then Gain % = [(Error/(True Wight â€“ Error)) x 100 ]%

2)Â **History, Sports, Geography, Environment, Civics, Defence,** **Art, Culture, and Politics**: These are the topics on which knowledge based questions are asked, instead of preparing for each topic select one third of the topics of your choice and interest and gather important facts on those topics as much as possible. Make flashcards of the information gathered and read whenever you have time in hand.

3) Candidates who are doing their Territorial Army exam preparation should make a note of their weak and strong topics, for strong topics they can self-practice but on weak topics they should seek external help such as private tutors.

4) Cope up with current affair use internet websites on important events.

5) Prepare with previous year question papers,Â Territorial Army Question Paper 2016-2019

6)Â **Territorial Army Online Coaching:**

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