CAT Questions

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The Indian Ocean consists of one gyre, the Indian Ocean (Majid) Gyre, which exists mostly in the Southern Hemisphere. It is named after Ahmad Bin Majid, the 15th-century Arab mariner. Following shows the Oceans and their respective Gyres

 Indian Ocean            -        Majid Gyre

North Atlantic Ocean   -       Columbus Gyre

South Atlantic Ocean  -       Prince Henry Gyre

North Pacific Ocean     -      Turtle Gyre

South Pacific Ocean    -       Heyerdahl Gyre

We park car temporarily in garrage, similarly, aeroplane is temporarily parked in hangar.

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

= 1/6 + 5/18

= 4/9.

Given,

 5sinx + 12cosx ≥ -r 

⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r 

513= cosA => sinA =1213

=> 13(sinx cosA + sinA cosx) ≥ -r

=> 13(sin(x + A)) ≥ -r

we know that , -1 ≤ sin (angle) ≤ 1

=> 13sin (x + A) ≥ -13 ⇒rmin =13 

20 x 55 x 66 = L x 65 x 70
Here L = 72,600/4550 = 15.95 =~ 16
Reduction is 20-16 = 4

which is 20% reduction.

Since Eric's father and Ivanka's mother are Brother and sister, 

=> Ivanka is Eric's Aunt Daughter => Cousin Sister.