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Select a figure from the options in which Fig. (X) is exactly embedded as one of its part.


A
B
C
D

In the given figure, it is given that
(i) AB ⊥ BF and EF ⊥ BF
(ii) AC = BC
(iii) KD is perpendicular to BC and DE

Find the measure of x.

A 75°
B 30°
C 60°
D 45°

Fill in the blanks and select the CORRECT option.
• Two cylindrical pots contain the same amount of milk. If their diameters are in the ratio 2 : 1, then the ratio of their heights is __P__.
• The volume of a sphere is equal to __Q__ the volume of a cylinder which has same height and diameter. (Radius of sphere = radius of cylinder)
• The slant height and base diameter of conical tomb are 25 m and 14 m respectively. The cost of white washing its curved surface at the rate of ₹ 210 per 100 m² is __R__

Kirti bought a dozen eggs to be used in a cake recipe. Only 1 egg is needed per cake. If 5 eggs remain in the carton, how many cakes did she make?

A6
B7
C11
D12

The average marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the average marks of all the students in the examination is 71, then find the ratio of the number of boys to the number of girls.

A1 : 3
B2 : 1
C1 : 2
D3 : 1

Read the statements carefully and select the correct option.
Statement-I : A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm², at the rate of 16 km per hour. The rise in the level of water in the tank in 45 minutes is 2.5 cm.
Statement-II : If V is the volume of cuboid of dimensions a, b and c and A is its surface area, then = 2[a + b + c].

AStatement-I is true but Statement-II is false.
BStatement-I is false but Statement-II is true.
CBoth Statement-I and Statement-II are true.
DBoth Statement-I and Statement-II are false.

When the price of a product was decreased by 10%, the number of products sold increased by 30%. What was the increase on the total revenue?

A 23%
B
C 15%
D 17%

In the given figure (not drawn to scale), BA = BR and PQ is parallel to RS. Find x, y and z.

          x              y             z
A58°          69°          40°
B58°          40°          30°
C48°          59°          70°
D69°          40°          58°

The shape can be placed in which of the following group(s)?


ABoth P and Q
BOnly P
COnly Q
DP, Q and R

A car travelling with of its usual speed covers 45 km in 1 hour 40 mins 48 secs. What is the usual speed of the car?

A
B25 km/hr
C30 km/hr
D37.5 km/hr