CAT Questions

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A team of scientists led by Abhay Mudholkar, from CSIR-National Institute of Oceanography (CSIR-NIO) in Goa on February 17, 2017 informed that India’s only live volcano, the barren island volcano in the Andaman and Nicobar Islands has started erupting smoke and lava again. The Barren Island volcano last erupted in 1991 after lying dormant for 150 years. Again the volcano has started showing sporadic activity in small intervals of 5-10 minutes. As per the scientists, during the day only ash clouds were observed, but after sunset red lava foundations were erupting from the crater into the atmosphere and hot lava streamed down the slopes.

Sweden - Potato Festival

Thailand - Vegetarian Festival

New Delhi - International Mango Festival

Spain - Onion Eating Festival

Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

Given initial investments ratio = 2 : 3 : 4

At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment

i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment

Now, Ratio of investment for one year

=> A : B : C = (2×6 + 3×6) : (3×12) : (4×12)

= 30 : 36 : 48

= 5 : 6 : 8

But given B's profit = 3000

=> 6 ratio = 3000

For total => 19 ratio = Rs. 9500.