CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

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14th please help.

Simply explain A doing a work in 12 days.and B is twice efficient than A.If A start work and left after some days and remaining work is complete by B.if total work are completed in 8 days .find after how many days A left the job.

If a number is written as 100100100100100100100 in Base 2, how will it be written in Base 8?

Approach ?

A man derives his income from the investment of Rs. 5150 at a certain rate of Simple Interest and Rs 3500 at 1% higher. His whole income for 4 years is Rs. 1311. Find the rates of interest (lower rate and higher rate) ?

  • Lower rate: 3.38%, Higher rate: 4.38%
  • Lower rate: 5.38%, Higher rate: 6.38%
  • Lower rate: 3.48%, Higher rate: 4.48%
  • Lower rate: 4.38%, Higher rate: 5.38%

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 n!x(n-1)!x(n-2)!x(n-3)! is a perfect square for how many integer values of n between 4 and 42? 

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67 ?

The true discount on a certain sum of money due 2  2/3 years  hence is Rs. 150 and the simple interest on the same sum for the same  time and at the same rate is Rs. 200. Interest rate per annum is ?



Solution pls. 

A circle is drawn such that its diameter coincides with the median BD of an equilateral triangle ABC of side length (4/ rt3) cm as shown in the picture. Find the area of the triangle ABC outside the circle. 

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P is a prime number, which is also a factor of 240C120. If P is a two digit number, then find the maximum value of P.

A and B working together complete a work in X days . B and C complete the same work in X+6 days . If C is 20% more efficient than B ,find in how many days A will complete the work alone?

Number of ways 100 can be written as a sum of two positive integers coprime to each other ?

The ratio of earnings to exp of A is 5:3 and that of B is 7:6.If the savings of A is twice that of B ,then what could be the ratio of total earnings of A and B together to the total exp of A and B together?

please share the solution in detail : Ram cut a cake in the ratio 1:3:5 and gave the biggest of the pieces to Shyam and Shyam redistributed his share in the ratio 1:1:3 and Shyam gave the smallest piece to Jadu. Jadu weighed his share and it turned out to be 10 gms. What was the weight of the initial cake?

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