1. Perimeter of a with integer sides is equal to 15. How many such triangles are possible?

1. 7
2. 6
3. 8
4. 5
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.
[/vc_column_text][vc_column_text]2. The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. The Numbers in the Brackets give the Maximum Marks in Each Subject. In which subject is the overall percentage the best? [A] Maths [B] Chemistry [C] Physics [D] History
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
[/vc_column_text][vc_column_text]3. A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. No two males or two females are immediate neighbours of each other.A is wife of H. A sits third to the left of E. F sits second to the right of D. D is not an immediate neighbour of A or E. H and C are immediate neighbours of each other. F is not an immediate neighbour of his wife B. Question 1: Which of the following is true about G? (a) G is a male (b) G sits exactly between F and H (c) G sits third to the left of E (d) G sits second to the right of B (e) None is true Question 2: Who sits third to the left of B? (a) F (b) H (c) D (d) A (e) None of these Question 3: How many people sit between B and F when counted in anti-clockwise direction from B? (a) One (b) Two (c) Three (d) Four (e) More than four Question 4: Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group? (a) H (b) F (c) E (d) G (e) D Question 5: Which of the following groups consists of only female members of the group? (a) A, B, H (b) G, F, C (c) C, H, G (d) D, H, C (e) None of these
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.
[/vc_column_text][vc_column_text]4. Which high-level committee has recently submitted its report on Scouts and Guides to the Union Government? [A] Harsh Malhotra committee [B] Ratan Watal committee [C] Injeti Srinivas committee [D] Abhijit Sen committee Answer: Option A
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.
[/vc_column_text][vc_column_text]5.A. All levels of demand, whether individual, aggregate, local, national or international are subject to change.    B. At the same time science and technology add new dimensions to products, their uses, and the methods used to market them.    C. Aggregate demand fluctuates with changes in the level of business activity, GNP and national income.    D. The demand of individuals tends to vary with changing needs or rising income. [A] CBDA [B] DCAB [C] BCAD [D] ADCB
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.
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