CAT Questions

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50 men can build a tank in 40 days 

Assume 1 man does 1 unit of work in 1 day

Then the total work is 50×40 = 2000 units

50 men work in the first 10 days and completes 50×10 = 500 units of work

45 men work in the next 10 days and completes 45×10 = 450 units of work

40 men work in the next 10 days and completes 40×10 = 400 units of work

35 men work in the next 10 days and completes 35×10 = 350 units of work

So far 500 + 450 + 400 + 350 = 1700 units of work is completed and

Remaining work is 2000 - 1700 = 300 units

30 men work in the next 10 days. In each day, they does 30 units of work.

Therefore, additional days required = 300/30 =10

Thus, total 10+10+10+10+10 = 50 days required.

42 = 72 - 7

 92 - 9 = 72

 112 - 11 = 110

 122 + 8 = 152

Except 152, others show the same trend.

A Yardstick has three feet used for measuring but no toes.

The kerosene oil sprayed on the water provodes a thin cating and the larvae of the mosquitoes are prevented from coming up to breathe. Thus, they die.
Hence, A is true but R is false.

As the interest rate increases by 2%
=> (7000x3x2)/100 = 420
                                   9200
                                  --------
                                   9620

Bijapur is known for its Gol Gumbaz. Bijapur city is well known for its historical monuments of architectural importance built during the rule of the Adil Shahi dynasty.

What is Gol Gumbaz ::

1. It is the tomb of Mohammed Adil Shah. This is the most famous monument in Bijapur. 

2. It is the largest dome ever built in India.

3. A particular attraction in this monument is the central chamber, where every sound is echoed seven times.

4. Another attraction at the Gol Gumbaz is the Whispering Gallery, where even minute sounds can be heard clearly 37 metres away.

• Statue of Gomateshwara - Shravanabelagola in Karnataka.

• Heavy Rainfall - Cherrapunji in Meghalaya.

There are 600 Kabaddi players
4% wear knee band on one leg
Remaining players = 600 x 0.96 = 576
Of the remaining, 25% wear knee bands on both leg
and Of the remaining, 75% do not wear knee bands .
So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.

 Required no.of ways is = 7P6.6! = 7!.6!