CAT Questions

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We know that:

When one card is drawn from a pack of 52 cards

The numbers of possible outcomes n(s) = 52

We know that there are 26 red cards in the pack of 52 cards
⇒ The numbers of favorable outcomes n(E) = 26

Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)

∴ required probability = 26/52 = 1/2.

Given A & B in partnership

A Invests 116000 for 12 months 

=> A's share = 116000 x 12 = 13,92,000

B Invests for 6 months

=> B's share = 144000 x 6 = 8,64,000

Their Ratio = 1392 : 864 = 29 : 18

Let the Annual profit = P

Given B's share = Rs. 9000

=> 18/47 x P = 9000

=> P = 9000 x 47/18

=> P = 23,500

Hence, Overall profit = P = Rs. 23,500

Nokia and Airtel along with state-owned network BSNL (Bharat Sanchar Nigam Ltd) have announced that they have partnered to set up 5G internet speed in India to introduce a fast internet ecosystem in the country.

The three parts of the coxal bone are

1. Ilium

2. Ischium

3. Pubis

Ilium forms the largest portion of the coxal bone or hip bone.

The treaty established the boundary between the Mughal empire and the Ahom kingdom ending the Mughal's efforts to conquer Ahom.

Nautilus is a type of fish and teal is a type of duck.

Hence, Nautilus : Fish :: Teal : Duck.

Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.