Aptitude - Time And Work

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Most Asked Number System Multiple Choice Questions

Most Asked Number System Multiple Choice Questions 1) Every rational number is a - Whole number Real number Natural number None of the above  Answer: (b) Real number Explanation: The numbers which can be found on the number line and include both rational and irrational numbers are known as real numbers, e.g., -1.5,√2,0,1,2,3,π.Almost any number which you can imagine is a real number. 2) Between any two numbers, there are - Two rational numbers No rational number Infinite rational numbers None of the above  Answer: (c) Infinite rational numbers Explanation: There are infinite rational numbers in between any two numbers. 3) What will be the value of x3 + y3 + z3, if x + y + z = 0? 3xyz 2xyz xyz xyz(xy + yz + zx)  Answer: (a) 3xyz Explanation: It is given that x + y + z = 0 On cubing both sides, we will get (x + y + z)3 = 0 x3 + y3 + z3 - 3xyz = 0 So, the value of x3 + y3 + z3 = 3xyz 4) Digit 1 is occurring 136 times on writing all of the page numbers of a book. What will be...
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Trigonometry Multiple Choice Questions

Trigonometry Multiple Choice Questions 1) Which of the following is the correct value of cot 100.cot 200.cot 600.cot 700.cot 800? 1/√3 √3 -1 1  Answer: (a) 1/√3 Explanation: Here, we can apply the formula - cot A. cot B = 1 (when A + B = 900) = (cot 200 . cot 700) x (cot 100 . cot 800) x cot 600 = 1 x 1 x 1/√3 = 1/√3 So, the correct value of cot 100.cot 200.cot 600.cot 700.cot 800 = 1/√3 2) If a sin 450 = b cosec 300, what is the value of a4/b4? 63 43 23 None of the above  Answer: (b) 43 Explanation: Given a sin 450 = b cosec 300 So, a/b = cosec 300/ sin 450 a/b = 2/( 1/√2) a/b = 2√2/1 a4/b4 = (2√2/1)4 a4/b4 = 64/1 or, a4/b4 = 43 3) If tan θ + cot θ = 2, then what is the value of tan100 θ + cot100 θ? 1 3 2 None of the above  Answer: (c) 2 Explanation: Given tan θ + cot θ = 2 Put θ = 450, above equation will satisfy as, 1 + 1 = 2 So, θ = 450, = tan100 450 + cot100 450 = 1100 + 1100 = 2 4) If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to co...
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Node.js Multiple Choice Questions

Most asked Node.js Multiple Choice Questions 1) Which of the following statement is correct? js is Server Side Language. js is the Client Side Language. js is both Server Side and Client Side Language. None of the above.  Answer: A is the correct option. Node.js is Server Side Language. 2) What does the REPL stand for? REPL stands for "Read Eval Print Loop." REPL stands for "Research Eval Program Learn." REPL stands for "Read Earn Point Learn." REPL stands for "Read Eval Point Loop."  Answer: A is the correct option. REPL stands for "Read Eval Print Loop". 3) Which of the following command is used to start a REPL session? $ node $ node start $ node repl $ node console  Answer: A is the correct option. We can start REPL simply by running node on shell/console without any argument. 4) In which language is Node.js written? JavaScript C C++ CoffeeScript All of the above  Answer: E is the correct option. Node.js is a cross-platform, back-end...
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