CAT Questions

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Let 'n' number of days it take to complete.

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
n2 + 39n - 550 = 0
 n2+ 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

Here given 120 men = 200 children

therefore 1 child = 3/5 of Man------ step I

Now given that the food was consumed by 150 children

From step I we get 150 children =90 Men ( 1 child = 3/5 Man ie , 150 X 3/5 = 90)
So the food is for (120-90) men = 30 Men

A karst topography is that which composes of limestone and its associated features and structures. Karst topography and caves develop in limestone rocks due to their solubility in dilute acidic groundwater. The solubility of limestone in water and weak acid solutions leads to karst landscapes.

Flowing rivers, can be found in areas away from karst topography.

Water is the important nutrient all organisms need. Humans has almost 60% of their body weight is water. Some organisms have 90% of their body weight is of water.

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = 2 x 5400 x 4100 = 432

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

Tax Collected at Source (TCS) is income tax collected in India payable by the seller who collects in turn from the buyer and it is provided under section 206C of Income Tax Act, 1961 at the sale of some goods which are specified.

E - TCS  is the process of filing TCS returns through electronic media. It is necessary for government and corporate collectors to file TCS returns in its electronic form. Collectors (other than government) have the provision to file TCS returns in physical form or electronic form.

We know there are 26 alphabets in English. The 21st letter in the alphabet is 'U'.

We have 5 vowels and 21 consonants.

Vowels :: A, E, I, O, U.

U is not consonant and is a vowel.

Hence, the given statement that 21st letter in the alphabet i.e, U is consonant is a FALSE.