abhijit_s_2000

Hi, The right way to approach the question is as follows: 1) Area of parralleogram is 18 and one of the sides is 6, so the next side is 3. Now. One of the triangles formed by bisecting the parallelogram will have an area of 9. Now the area of the traingle = (1/2)*3*base (base of paralellogram extended to meet the base of height). This gives the base as 6. This implies that the height is one of the side of parallelogram. Hence the angle is 90. Let me know if this helps.

Hi, This can be solved in another way. Let the total no. of terms be 2n+1. n+1 odd and n even. Now we know that the sum of even nos. is 270 and odd is 315. hence (T2+T2n)*n/2 = 270. This implies that (T2+T2n)*n = 540----(1) Similalrly (T1+T2n+1)*(n+1)/2 = 315 ----(2) (T1+T2n+1)*(n+1) = 630 ------(2) Let d be the difference in arithmetic progression. Now T1 = T2-d. T2n+1 = T2n+d. T1+T2n+1 = T2+T2n. (T2+T2n)*n+ (T1+T2n+1) = 630. Hence T1+T2n+1 = 90------(4) We are also given that T2n+1 - T1 = 84 --- (5). Solving equation (4) and (5) i get the T1 = 87 and T2n+1 = 3. Now substituting T1 and T2n+1 for T2 and T2n in eqn 2 we get 45*(n+1) = 315 n+1 = 7 => n = 6. Substituting in eqn (5) we get d = 7.

IMO E. The options are a bit tricky. if 3/4 of the rooms are rented only 1/4 remains. Now 2/3 of A/C rooms are rented. Now A/C rooms are 3/5 of total . Hence the no. of total rooms that are AC and rented are : (2/3)*(3/5) = 2/5. Hence the no. of rooms that are not rented are: 3/5-2/5 = 1/5. Hence the percentage of rooms that are A/C and are not rented = (1/5)/(1/4) = 80%.

Hi, The logic is as follows: If there are four consecutive even numbers they will be: x,x+2,x+4,x+6. Now from the problem statement.sum of las two integers is 30. x+4+x+6 = 30. Similarly sum of first two integers is 22 so x+x+2 = 22. Both the conditions give the answers. Hope this helps.

IMO B. Actually 'adapted for' is the right idiom not 'adapted to'. Second, the first part of the sentence is a modifier modifying the gibbons. A is wrong as 'adapted more completely than the other anthropoids....are'. 'are' is wrong as it makes the following clause wrong. Option C is having the same problem as A. Option D is wrong as it compares gibbons to adaptations of other anthropoids. Option E is akward and wordy.

IMO D. However it is better to understand a rule of quadiletral. If a line (transversal) intercepts two parallel lines it creates angles. So if another intersects the parallel lines and leaves an intercept. If the two intercepts are equal, the angles created by them with the parallel lines would be equal, hence the two lines would be parallel. Using this principle we can ascertain that PQ = RS, PQ is parallel to RS and it is a parallelogram 2) Now for the first condition, if PS parallel to QR, draw a diagonal and two traingles created will be similar to each other using SAS test. Hence PQ is parallel to RS. Hope this helps.

Hi, IMO E. Option B doesn't provide the required no. of oranges that will ensure that each basket gets a one. It just says that if the no. of oranges are halved, each basket won't get atleast one. This is not sufficient to establish the no. of baskets. Hence the answer is E.

'chief of' is used when a condition being discussed belongs to a group wereas among is used when a thing does'nt belong to a group e.g. He is best of my friends. (he belongs to the group of my friends). He is one among the pupils of the school ( he is doesn't belong to a group.)

Hi, The explaination is as follows: The no. of ways A,B,C,D,E can be arranged amongst themselves without any restrictions = 6! = 720. Now lets apply the restrictions. i.e. A is at 1. So the remaining 5 letters can be arranged amongst themselves in 5!=120. Same is the case for B and C. The total is 120*3 = 360. However this also includes the cases where both A is at 1 and B at 2. So the no. of possible ways = 4! = 24. Similarly for B and C = 24 and A and C = 24. So total = 72. Now substract the condition where A is at 1, B at 2 and C at 4, we get 3! = 6 ways. So the no. of ways in which the restrictions can be violated = 360 - 72 +6 = 294. The no. of ways in which the arrangement can be successful = 720 - 294 = 426.

IMO E. We cannot conclude that the rest of projects have 3 employees per project.

In Option D 'leaving behind....' is modifying what? Can anybody explain how does 'leaving behind....' fit in the sentence.

Hi, D can be explained by examining the sentence structure e.g. C = Any discussion of our nation’s foreign policy must begin with the fact that there is with is the preposition and the object of the sentence is 'fact'. However 'that there ....' doesn't properly qualify the object fact and hence it is wrong.

IMO B. The question mainly test the use of conjunction for expressing simultaneous things e.g. rise in short-term rates and unable to raise mortgage rates. B expresses it rightly. A is wrong as it uses a passive voice. D and E are wrong as 'with' inappropriate and it changes the meaning of sentence. C is wrong as 'no rise possible in' is awkard.

IMO B. D is anyway wrong. The argument mentions that if government increases its funding.... This indicates that government currently has some funding for civilian scientific resarch. B correctly identifies the assumption that the increase in government funding will displace more from private patrons.

IMO D. The argument concludes that because 20 percent of the population doesn't know enough about DNA, at least 80 percent of the population doesn't know about medical concepts to make well-informed personal medical choices or to make good public policy decisions about health care. If 20% of 90% of population don't know about DNA, it is equal to 72%. Now 10% doesn't anything about medical care This equals 82. So the option D establishes rightly that knowing DNA = knowing medical concepts to make well-informed personal medical choices or to make good public policy decisions about health care.