Answer: C) cosx Explanation:   Thus, the derivative of sinx by first principle is cosx.

Answer: A) 8400 Explanation: 12% of 70,000 => 12 x 70,000/100 => 8400   Hence, 12% of 70,000 = 8,400

Answer: C) 12 Explanation: Given  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 Using BODMAS Rule, As multiplication precedes addition, 1 x 0 = 0,  Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.   Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

Answer: C) Goa Explanation: Uniform civil code is the ongoing point of debate within Indian mandate to replace personal laws based on the scriptures and customs of each major religious community in India with a common set of rules governing every citizen.   Goa is the only state in INdia where Uniform Civil Code is applied. Laws are equal to all religion. Polygamy and triple talaq are illegal.

Answer: C) Option C Explanation: Raghu can complete the work in (12 x 9)hrs = 108 hrs.    Arun can complete the work in (8 x 11)hrs = 88 hrs.   Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88   (Raghu + Arun)'s 1 hrs work = 1108+188=492376  So, both Raghu and Arun will finish the work in 237649 hrs Number of days of 12 hours each=237649×112 = 19849=4349 days

Answer: D) Matoshree Explanation: Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as 'Matoshree'.

Answer: D) DNA Replication Explanation: The First step of Bacterial Replication is DNA Replication. DNA must be copied in order to proceed.

Answer: D) 96 Explanation: Here in the given number puzzle, the given numbers follows a pattern that  1 + 4 = 5 => 1 x 4 + 1 = 4 + 1 = 5  2 + 5 = 12 => 2 x 5 + 2 = 10 + 2 = 12    3 + 6 = 21 => 3 x 6 + 3 = 18 + 3 = 21  Similarly,  8 + 11 = 96 => 8 x 11 + 8 = 88 + 8 = 96   Hence, the missing number in the given number puzzle is 96.