Challenge of the Day: Maths Questions

Dear friends, we are sharing here some of the mathematical questions which are important for your examinations. Questions with their answers are given are written below. You are requested to provide best shortest method to solve each questions.
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Quiz 2. The area of a cubical room floor is 48 square meters; the largest length of rod can be kept in that room is-
एक घनाकार कमरे के फर्श का क्षेत्रफल 48 वर्ग मीटर है उस कमरे में कितनी लंबाई की सबसे बड़ी छड़ रखी जा सकती है
(a)  12 मीटर
(b)  18 मीटर
(c)   6 मीटर
(d)  9 मीटर

 Quiz 3. Which one among √10 + √4, √11 + √3, √7 + √7 is the smallest number?
√10 + √4, √11 + √3, √7 + √7 में सबसे छोटी संख्या कौन सी है?
(a) √10 + √4
(b) √11 + √3
(c) √7 + √7
(d) All are equal
सभी बराबर हैं

Quiz 4. Raman, Manan and Kamal are partners and invest in a business such that Raman invests 2/5th of total and Manan invest 3/8th of the total. What is the ratio of profit of Raman, Manan and Kamal respectively?
रमन, मनन तथा कमल साझेदार हैं तथा एक व्यापार में निवेश करते हैं। रमन कुल निवेश का 2/5 भाग तथा मनन कुल निवेश का 3/8 भाग निवेश करता है। क्रमशः रमन, मनन तथा कमल के लाभ का अनुपात क्या है?
(a) 16 : 15 : 9
(b) 16 : 15 : 31
(c) 2 : 3 : 5
(d) 15 : 16 : 9 

Quiz 5. 

(a) 28
(b) 35
(c) 42
(d) 64

Answers: -

(1) option (a) is correct

(2) option (a) is correct. 12 Meter 
(3) option (c) is correct. √11 + √3
(4) option (a) is correct. 16 : 15 : 9
(5) option (c) is correct. 42