Instructions

For the following questions answer them individually

Question 1

Arrange the fractions $$\frac{3}{4},\frac{5}{12},\frac{13}{16},\frac{16}{29},\frac{3}{8}$$ in their descending order of magnitude.

Question 4

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

Question 5

The two chords AB and CD of a circle intersect at point P, such that BP=4 cm, PD=5 cm, and CP=8 cm. ﬁnd the length of chord AB.

Question 6

AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at M and distance between centre and chord is 4 cm. ﬁnd the area $$(in cm^2)$$ of the circle)

Question 7

The income of Rahul is Rs 60000 and his expenditure is Rs 40000. If his income is increased by 20% and expenditure in increased by 15%, then what will be the percentage increase in his savings?

Question 8

If $$u : v : w$$ = 3 : 6 : 8, then what will be the ratio of $$(\frac{u}{v}):(\frac{v}{w}):(\frac{w}{u})$$ ?

Question 9

Puneet lent out Rs 30000 in two parts, one at 5% and the other at 9% interest. The yearly average interest comes out to be 6%. What are the amounts (in Rs) that are lent at 5% and 9% respectively?

Question 10

Average marks obtained by 19 boys of a college is 56. If the highest marks and lowest marks obtained are removed, then the average reduces by 2. What is the average of the highest and lowest marks obtained?

CAT Averages, Ratios & Proportions

CAT Logarithms, Surds & Indices