CAT Questions

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circumference of a circle = 2πr

=> 2 × 22/7 × r – r = 37

=> 37/7 × r = 37

=> r = 7 cm.

Diameter D = 2r = 7×2 = 14 cm.

100
65
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65 ------- 35
100 ------ ? => 53.84 %

Mango Cup is associated with Cricket game. The MANGO CUP is a Triangular Cricket limited overs tournament between the Manglorean CatholicAssociation of Sydney (MCAS), Australian Residents Anglo Indian Association (ARAIA) and GoanOverseas Association-NSW (GOA).

Hence, the tournament is named from both (Man) from Manglorean CatholicAssociation of Sydney and (go) from GoanOverseas Association-NSW.

The rule followed here is

7 + 3 - 4 = 6

Similarly,

4 + 2 - 2 = 4

9 + 5 - 4 = 10

Hence, the missing numbers are 4 & 10.

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

Second is the tool used by the first.

Let the leak will empty the tank in x hrs 

Then, 1/9 - 1/x = 1/13

x = 29.25 hrs