1. Find the range of x for which (x + 2) (x + 5) > 40.

Explanation: There are two ways of trying this one. We can expand and simplify this algebraically. x2 + 7x + 10 > 40 or x2 + 7x – 30 > 0 (x + 10) (x – 3) > 0 The roots are -10 and +3. => x should lie outside the roots. Now, what is this based on? There is a simple thumb rule for solving quadratic inequality For any quadratic inequality ax2 + bx + c < 0 Factorize it as a(x – p) ( x – q) < 0 Whenever a is greater than 0, the above inequality will hold good if x lies between p and q. a(x – p) (x – q) will be greater than 0, whenever x does not lie between p and q. In other words x should lie in the range ( -∞, p) or (q, ∞). Now, coming back to the question (x + 10) (x – 3) > 0 Or, x < -10 or x > 3
[/vc_column_text][vc_column_text]2. These questions are based on the pie charts which represent the shift in water usage between 2006 and 2009; based on a survey conducted by Central Water Commission. If the ratio of processing cost for water for industrial, energy and domestic usage is 3 : 5 : 2, what is the ratio of processing cost for above mentioned usage in 2006 to that in 2009? (a) 0.68 (b) 0.72 (c) 0.60 (d) 0.77
Answer: Option B Explanation: Ratio of cost
[/vc_column_text][vc_column_text]3. These questions are based on the following statements. Asha and Charu are good in Mathematics and Athletics. Deepa and Asha are good in Athletics and Studies, Charu and Beena are good in General Knowledge and Mathematics. Deepa, Beena and Ela are good in Studies and General Knowledge. Ela and Deepa are good in Studies and Art. Question 1: Who is good in Studies, General Knowledge, Athletics and Art? (a) Asha (b) Beena (c) Charu (d) Deepa Question 2: Who is good in studies, General Knowledge and Mathematics? (a) Asha (b) Beena (c) Cham (d) Ela Question 3: Who is good in Studies, Mathematics and Athletics? (a) Asha (b) Beena (c) Cham (d) Deepa Question 4: Who is good in Athletics, General Knowledge and Mathematics? (a) Asha (b) Beena (c) Charu (d) Deepa Question 5: Who is good in Studies, General Knowledge and Art but not in Athletics? (a) Asha (b) Beena (c) Cham (d) Ela
Answer 1. From the above table, Deepa is good in Studies, General Knowledge, Athletics and Art. Answer 2: Beena is good in Studies, General Knowledge and Mathematics. Answer 3: Asha is good in Studies, Athletics and Mathematics. Answer 4: Charu is good in General Knowledge, Athletics and Mathematics. Answer 5: Elais good in Studies, GK, and Art but she is not good in Athletics
[/vc_column_text][vc_column_text]4.  Idioms The carrot and stick policy pays dividends in every organization. [A] fair and foul [B] continuous vigilance [C] democratic [D] reward and punishment
Answer: Option D Explanation: Carrot refers to reward and stick refers to punishment
[/vc_column_text][vc_column_text]5. Anshu Jamsenpa has become the world’s first woman to scale Mt Everest twice within 5 days. She hails from which Indian state? [A] Mizoram [B] Manipur [C] Assam [D] Arunachal Pradesh
Answer: Option D Explanation: Anshu Jamsenpa, the Indian mountaineer from Arunachal Pradesh, has set the world record by becoming the world’s first woman to conquer Mount Everest twice within five days. Jamsenpa along with Nepali climber Furi Sherpa scaled the peak at 8:00 am on May 21, 2017. Earlier, she stood atop of world’s highest mountain on May 16, 2017. With this, Jamsenpa has also become the first Indian woman to scale Mt Everest for the fifth time. Beside this, Indian climbers Dhankude Kishor Dattatraya and Brij Mohan Sharma also scaled Mt. Everest on May 20, 2017. Brij Mohan Sharma, popularly known as Breeze Sharma has become the first civilian from the Indian Navy to summit Mount Everest. Earlier, Chhurim Sherpa (a Nepali mountaineer ) had scaled Mt Everest twice within a week, reaching the roof of the world first on May 12, 2012, then again on May 19.
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