CAT Questions

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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 

Facilitate means assist someone in their progress or work. Here Help is the only word which is similar in meaning with facilitate. Halt and check are antonyms i.e opposite in meaning of facilitate. 

Hence, facilitate is similar in meaning to help.

Indian anti-hunger activist Ankit Kawatra has honoured with the 2017 Queen’s Young Leaders award for his exceptional work in transforming the lives of others. Kawatra is among the 60 others from all 53 Commonwealth countries to be felicitated with the prestigious award by Queen Elizabeth (II) at a ceremony in Buckingham Palace in London on June 29, 2017. The honourees will also undergo a year-long mentoring and online learning by the University of Cambridge to build leadership capabilities and better their work towards the communities. He is the founder of Feeding India, a not-for profit organization that works towards solving problems of hunger, malnutrition and food wastage, mainly by redistributing extra food from restaurants, canteens, households, corporates etc. to help people in need.

Let the present age of Raj and Rajitha be 4x and 9x.
Then, according to question,
9x = 2(9x-12)-3 => 9x = 27 => x = 3
Raj's present age = 4x = 12yrs,
After 5 years Raj's age will be 12 + 5 = 17 yrs.

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

Control Unit can perform the functions Interpret instructions, Execute instructions and Direct operations. But Reading instructions is not a function of the Control Unit.

The intersection of a column and a row in a spread sheet is called as a cell or a bon.

Given numbers are 585 546 514 404 206 369
Then interchanging the 1st and 3rd digits of the given numbers, we get
585 645 415 404 602 963
Now, arranging them in ascending order
963 645 602 585 415 404
Then the last second number is 415.