CAT Questions

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P --- 10 ----- 600 

  P --- 5 ----- 300

3P --- 5 ----- 900
                __________
                   1200

only (c) is correct since it is divisible by 4.

Let the original number of element  be x then the new no.of elements will be 

            4x5 = K                               

So K must be divisible by 4

Since,      x =  Kx5/4

By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.

By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.

By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.

So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.

Let A worked for x days.

x/21 + 4/28 = 1  => x = 18

A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

              Men               Women

              600x               400x

      Total engineers = 480x

      Male engineers = 480x X 0.66 = 320

   Women who are Engineers  = 160x 

  Women are not Engineers  = 400x - 160x = 240x

 Required percentage = 240400x100 = 60%

One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I)

One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II)

Divide both sides by 2 in (I) and then multiply both sides by 5

Now we get, 15b + 20g = 1/4.

Therefore, 15 boys and 20 girls can do the same work in 4 days.

This can be done in a method called Approximation.

Now, 

$$\begin{gathered} 52 + 63 + 6 + 72 = ? x 3.34 \\ 25 + 216 + 6 + 49 = ? x 3.34 \\ 296 = ? x 3.34 \\ ? = 2963.34 = 88.622 ≅ 89 \end{gathered}$$