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Before Rahim joined the total height of all the boys = 170 X 20 = 3400.

New average = (Total height of all students + height of Rahim)/21 = 180

Therefore (3400 + height of Rahim)/21 = 171

Therefore height of Rahim = 3780 - 3400 = 191 cms.

Total age of 12 students=12 $\times$ 20=240

Total age of 4 students =4x (assuming the average age of 4 students)

Hence the equation=240+4x=16 $\times$ 21=336

solving the equation we get x=24

So, average age of the new students =24.

Let initial price is 100 then final will be 180

100---+20%------120

120 ----- +25%----150

150-----+20%-----180.

Given, 3 people requires 4 days.

As the people are increased to 4, i.e. 3 $\times$ (4/3) =4, so work will be reduced to (3/4) $\times$ 4=3 days.

The Word LOGARITHMS is containing 10 letters.

To find how many 4 letter word we can find from that = 10 $\times$ 9 $\times$ 8 $\times$ 7.

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).

For ticking 6 times, there are 5 intervals.

Each interval has time duration of 30/5=6 secs.

At 12 oclock, there are 11 intervals.

So total time for 11 intervals = 11 $\times$ 6=66 secs.

According to the Bayes theorem,

p (no of way to drawn a ball from 2nd urns is red and ball transferred from 1 urns) =(3c1/5c1) $\times$ (3c1/9c1) =9/45.

Total=(2c1/5c1) $\times$ (4c1/9c1) +(3c1/5c1) $\times$ (3c1/9c1) =17/45.

So, probability = (9/45)/ (17/45) = 9/17.

The total distance between X & Y is 9 $\times$ 36 km.

Therefore, the speed of B = (9 $\times$ 36)/4 = 81 kmph.

In 6kg of alloy 15/4-zinc and 9/4-copper.

So, let extra zinc added be x.

=> (15/4+x)/ (9/4) =3/1.

=> x=3.

Since, 2+1+5+ 4+7+4 =23

Therefore, 5+3+7+x = 23.

=> x = 8.

Combination that match 8 is 26 since 2+6=8.

As we have

(2+6+7) +9=24

(3+4+4) +29=40

(8+2+8) +55=73

(7+3+9) +87=106

Now Consider no.9 then 29 then 55 then 87

Its series of difference 29 and 9 as 5×4+0=20

Then 55 and 29 as 5×5+1=26.

Then 87 and 55 as 5×6+2=32.

Man in photo--->his father---->only granddaughter will be daughter of man in photo.

Now that daughter is wife of Raju.

Hence Raju is "Son in law" of man in photo.

Turns 90 degrees from northwest in clockwise direction is; His position is Northeast from Northeast, turns 135 degrees in anti-clock: his position is west.

The statement mentions that if the people ask about the tailor, your suit is good. This means that people ask only in the situation when the thing is good. So, I is implicit. The criteria of an excellent suit is not mentioned. So, II is not implicit.

1+13 $\times$ 2=27

27+13 $\times$ 3=66

Similarly,

10+27 $\times$ 2=64

64+27 $\times$ 3=145

Hence 145 is the answer.

The demolition of unauthorized buildings would teach a lesson to the unscrupulous builders and also serve as a warning for the citizens not to indulge in such activities in the future. This is essential, as unauthorized constructions impose undue burden on the citys infrastructure. So, only argument II holds strong.

The first two letters, PQ, are static. The third letter is in alphabetical order, beginning with R. The number series is in descending order beginning with 5.

The letters at odd positions are each moved one step backward, while the letters at even positions are respectively moved six, five, four, three, two... steps backward to obtain the corresponding letters of the code.