1. Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?
Answer: Option A Explanation:This is just a counting question, with the caveat that sum of two sides should be greater than the third. Let us assume a ≤ b ≤ c. a = 1, Possible triangle 1, 7, 7 a = 2, possible triangle 2, 6, 7 a = 3, possible triangles 3, 6, 6 and 3, 5, 7 a = 4, possible triangles 4, 4, 7 and 4, 5, 6 a = 5, possible triangle is 5, 5, 5 There are totally 7 triangles possible.
Answer: Option A Explanation: We shall find the overall percentage (for all the seven students) with respect to each subject. The overall percentage for any subject is equal to the average of percentages obtained by all the seven students since the maximum marks for any subject is the same for all the students. Therefore, overall percentage for: (i) Maths: =1/7×(90+100+90+80+80+70+65)% =1/7×(575)%=17×(575)% =82.14% (ii) Chemistry: =1/7×(50+80+60+65+65+75+35)% =1/7×(430)% =61.43% (iii) Physics: =1/7×(90+80+70+80+85+65+50)% =1/7×(520)% =74.29% (iv) Geography : =1/7×(60+40+70+80+95+85+77)% =1/7×(507)% =72.43% (v) History: =1/7×(70+80+90+60+50+40+80)% =1/7×(470)% =67.14% (vi) Comp. Science: =1/7×(80+70+70+60+90+60+80)% =1/7×(510)% =72.86% Clearly, this percentage is highest for Maths Hence, Option A. Note: A smarter way to solve this problem is to calculate overall percentage only for 4 subjects namely, Maths, Chemistry, Physics and History and not for all the seven subjects, since only these four of seven choices are listed in the options
Answer: Option A Explanation: Answer 1: (d) G sits second to the right of B. Answer:2 (b) H is third to the left of B. Answer:3 (b) There are 2 people between F and B. Answer:4 (d) G does not belong to the group. G is female. Answer:5 (e) None of the groups given in options has only female members.
Explanation: The 7-member high-level committee on Scouts and Guides under the chairmanship of Harsh Malhotra has submitted its final report to Minister for State (Independent Charge) for Youth Affairs & Sports, Vijay Goel. The Committee has suggested mandatory revamp of the Bharat Scout and Guides and Hindustan Scouts and Guides. It has found a number of irregularities and anomalies in the management and financial management. It has further recommended for a permanent monitoring Committee to periodically assess the activities of both the organizations. The committee has also recommended that there should be government nominees on the Boards of both the organizations. It also stated that complaints have also been reported, regarding leakage of question papers related to Rashtrapati Puraskar in 2016-2017 in Bharat Scouts and Guides.
Explanation: The para starts with ‘D’ or ‘B’ as they continue a previous sentence. Between options ‘A’ and ‘C’. The former will be used to start the para as the other statements of the para fall in sync.