CAT Questions

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729 = 9 x 9 x 9

=> Cube root of 729 = 9

Now, required square of 9 = 9 x 9 = 81.

We know that, in solids all the particles are packed together and hence sound can travel from one to one very fast.

Hence, speed of sound is maximum in solids and decreses from solids to liquids and liquids to gases. Sound can't travel through vaccum.

When a candidate is officially nominated at the national convention, then the presidential campaign begins.

As these three strategies P, Q and R are independent so these will cut cost one after the other.
If initial cost is Rs 100, then
20% cost is cut after initializing strategy P, then cost will remain 80% = 80
further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56
further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4

Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

Let cost of each cell phone = Rs.100 & Sale = 100 phones.

Money receipt = Rs.(100 x 100) = Rs.10,000

New cost per cellphone = Rs.120 and New sale = 70 phones

New Money Receipt = Rs.(70 x 120) = Rs.8400

Then the effect of sales = decrease in money receipt = 

160010000 x 100 = 16%.

With India's pledge to go all electric by 2030, Nagpur will be the first city in the country to adopt electric cabs as the country moves a step closer to its goal.

The pilot project will see around 200 e-cabs in Nagpur with the local body to provide for the charging stations across the city.

Currently, Mahindra and Honda are few of the car-manufacturers who have electric and hybrid vehicles in their line-up. We do hope that the situation changes, as hybrid and electric vehicles will help in the growing pollution in India. Countries such as France, Netherland and Belgium have already started to adopt electric and hybrid vehicles.

Given digits are 0, 4, 2, 6

Required 4 digit number should be greater than 6000.

So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

This can be done by

1x4x4x4 = 64

Greater than 6000 means 6000 should not be there.

Hence, 64 - 1 = 63.