Instructions

For the following questions answer them individually

Question 61

$$\frac{\cosec \theta}{\cosec \theta - 1} + \frac{\cosec \theta}{\cosec \theta + 1} - \tan^2 \theta, 0^\circ < \theta < 90^\circ$$, is equal to:

Question 62

The income of A is 45% more than the incomeof B and the incomeof C is 60% less than the sum of the incomes of A and B. The income of D is 20%more than that of C. If the difference between the incomes of B and D is â‚¹13200, then the income (in â‚¹) of C is:

Question 63

Length of eachside of a rhombusis 13 cm and oneof the diagonal is 24 cm. Whatis the area (in cm$$^2$$) of the rhombus?

Question 64

Study the following table and answer the question:

Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018?

Question 65

Sides AB and DCof a cyclic quadrilateral ABCD are produced to meetat E and sides AD and BC are produced to meet at F. If $$\angle ADC = 78^\circ$$ and $$\angle BEC = 52^\circ$$, then the measure of $$\angle AFB$$ is:

Question 66

Study the table and answer the question.

In the table, production and sale (in 1000 tonnes) of a certain product of a company over 5 years is given.

In which year(s) sale is more than 90% of the production?

Question 67

Find the value of $$\cot 25^\circ \cot 35^\circ \cot 45^\circ \cot 55^\circ \cot 65^\circ$$.

Question 68

Some fiuits are boughtat 15 for â‚¹140 and an equal number of fruits at 10 for â‚¹120.If all the fruits are sold at â‚¹132 per dozen, then whatis the profit percent in the entire transaction?

Question 69

What is the compound interest (in â‚¹) on a sum of 28192 for $$1\frac{1}{4}$$ years at 15% per annum, if interest is compounded 5- monthly?

Question 70

To do a certain work, A and B work onalternate days with B beginning the work onthefirst day. A alone can complete the same work in 24 days.If the work gets completed in $$11\frac{1}{3}$$ days. then B alone can complete $$\frac{7}{9}th$$ part of the original work in:

Linear Equations
Inequalities
Quadratic Equations
Averages, Ratios & Proportions
Profit & Loss
Number Systems
Time, Distance & Work
Geometry
Progressions & Series
Probability Combinatorics
Venn Diagrams
Data Sufficiency
Logarithms, Surds & Indices
Functions, Graphs & Statistics
Miscellaneous

DI Basics
DI Charts
Data Interpretation
DI Data Change Over Period
Tables With Missing Values
DI Venn Diagrams
DI Special Charts
DI Maxima & Minima
Quant-Based DI
DI Connected Sets
DI Miscellaneous
LR Arrangement
LR Selections With Conditions
LR Coins & Weights
LR Truth & Lie
LR Puzzles
LR Scheduling
LR Games & Tournaments
2D & 3-D LR
Quant-Based LR
LR Miscellaneous