TISSNET 2014

In the given series,

$$\frac{664}{2}=332$$

$$332+8=340$$

$$\frac{340}{2}=170$$

$$170+8=178$$

$$\frac{178}{2}=89$$

The numbers in the series are divided by 2 and added with 8 alternately as shown above.

$$\therefore\ $$The required number in the series = 178

Hence, the correct answer is Option D

To form an odd number, units digit can be filled by either 1,3,5 in 3 ways.

The remaining places can be filled in 3! ways

Total number of odd numbers that can be made = 3! x 3 = 6 x 3 = 18

The first place can be chosen in 6 ways.

The second-place can be chosen in 5 ways

The third-place can be chosen in 4 ways.

Total = 6 x 5 x 4 = 120

n people can be seated in (n-1)! ways in circular arrangements.

$$\therefore\ $$Number of ways in which four people can be seated at a circular dining table = (4-1)! = 3! = 6

Hence, the correct answer is Option A

Number of ways to choose one pedagogy course from an option of three = $$C^3_1=3$$

Number of ways to choose one thematic course from an option of two = $$C^2_1=2$$

=> Total ways = $$3\times2=6$$

=> Ans - (D)

Using $$M_1D_1H_1$$ $$=M_2D_2H_2$$

Let time taken be $$D_2$$

=> $$6\times8\times12=4\times8\times D_2$$

=> $$D_2=6\times3=18$$ days

=> Ans - (D)

Using $$M_1D_1H_1$$ $$=M_2D_2H_2$$

Let time taken be $$D_2$$

=> $$8\times8\times8=4\times D_2\times4$$

=> $$D_2=4\times8=32$$ days

=> Ans - (D)

Time taken by machines A, B and C respectively is 2,3 and 6 hours

=> Time taken by all working together = $$\frac{1}{2}+\frac{1}{3}+\frac{1}{6}$$

= $$\frac{6}{6}=1$$ hour

=> Ans - (C)

A and B working together finish a work in 6 hours.

Time taken by A alone = 10 hours

=> Time taken by B alone = $$\frac{1}{6}-\frac{1}{10}=\frac{4}{60}=\frac{1}{15}$$

$$\therefore$$ B takes 15 hours to finish the work.

=> Ans - (A)

Spee of car = 40 km/hr and time taken = $$\frac{25}{60}$$ hrs

Distance = speed $$\times$$ time

= $$40\times\frac{25}{60}\approx17$$ km

=> Ans - (B)