Quantitative Aptitude Important Formulas

Height & Distance - Important Formulas,Tricks and Examples

In a right.angled DOAB, where ÐBOA = q,

i)sin q = Perpendicular/Hypotenuse = AB/OB;

ii)cos q = Base/Hypotenuse = OA/OB;

iii)tan q = Perpendicular/Base = AB/OA = sin q/cos q;

iv)cosec q = 1/sin q = OB/AB;

v)sec q = 1/cos q = OB/OA;

vi)cot q = 1/tan q = OA/AB = cos q/sin q.

Trigonometrical identities:

i)sin2q + cos2q = 1.

ii)1+tan2q = sec2q

iii)1+cot2q = cosec2q

Values of T-ratios:-

q

0°

30°

45°

60°

90°

Sin q

0

½

1/Ö2

Ö3/2

1

Cos q

1

Ö3/2

1/Ö2

½

0

Tan q

0

1/Ö3

1

Ö3

Not defined

Angle of Elevation: Suppose a man from a point O looks up an object P, placed above the level of his eye. Then, the angle which the line of sight makes with the horizontal through O, is called the angle of elevation of P as seen from O.

Angle of Depression: Suppose a man from a point O looks down at an object P, placed below the level of his eye, then the angle which the line of sight makes with the horizontal through O, is called the angle of depression of P as seen from O.

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The rate of simple interest on a sum of money is 6 percent per annum for first 3 years, 8 percent per annum for the next 5 years and 10 percent per annum for period beyond 8 years. If simple interest accrued by the sum for a total period of 10 years is Rs 1560, What is the sum?

Percentage

Shirin went to a bakery and bought items worth Rs 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

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Pointing to a photograph, a man said, "I have no brother or sister but that man’s father is my father’s son." Whose photograph was it?

Introducing a man to her husband, a woman said "His brother's father is the only son of my grandfather". How is the woman related to the man ?

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What is the difference between Apache Tomcat server and Apache web server?

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What is the full form of DOS?

Explain the use of help DOS Command?

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Riddle:Solve

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A 300 meter long metro train crosses a platform in a metro station in 39 seconds while it crosses a lamp post in 18 seconds. What is the length of the platform?

Problems on Ages

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Profit and Loss

Irvin sold a book at a profit of 12%. If Irvin had sold it for Rs 18 more, then 18% would have been gained. Find the cost price?

Chemistry

Non stick cooking utensils are coated with?

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