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Each digit, 1, 2, 3, 4, 5, 6, 7, 8 and 9 is represented by a different letter A, B, C, D, E, F, G, H and I but not necessarily in this order. Further, each of A + B + C, C + D + E, E + F + G and G + H + I is equal to 13.
1. Find the value of E.
a. 5
b. 7
c. 4
d. Cannot be determined
2. What is the sum of C, E and G?
a. 7
b. 9
c. 11
d. Cannot be determined
3. How many different sum’s of A, D, F and I are possible?
a. 1
b. 2
c. 4
d. Cannot be determined
In the M. sc. Nuclear Physics class of Presidency Collage there are 151 students. They must choose either two or three out of 4 optional subjects, Nuclear Thermo Dynamics, Nuclear Field Theory, Nuclear Radiation, Nuclear Reaction in their combination.
Given below are some clues about breakup of 2004-05 classes
Number of students taking 2 subject combination = 132 students.
Students taking only Nuclear Thermo Dynamics & Nuclear Field Theory = 12
Students taking only Nuclear Field Theory & Nuclear Reaction = 33
Students taking only Nuclear Theory Dynamics & Nuclear Radiation = 31
Students taking only Nuclear Radiation & Nuclear Reaction = 46
4. What is the number of students who took nuclear Thermo Dynamics in their combination?
a. less than 75
b. 75
c. more than 75
d. can’t be determined
e) 23
5. What is the number of students who took Nuclear Radiation in their combination?
a. less than 95
b. 95
c. more than 95
d. 54
e. can’t be determined
6. Which subject was taken up by maximum number of students?
a. Nuclear Thermo Dynamics
b. Nuclear Field Theory
c. Nuclear Reaction
d. Nuclear Radiation
e. None of these
Long ago, King Ashoka, organized a horse riding competition. The entry fee for participation was one gild coin and the total number of coins collected would be distributed among the first four winners. All the four winners were awarded with a different number of coins; however the winner in the first position got the maximum coins and so on, so that the winner in the fourth position got the least number of coins.
A, B, C, D were the first four winners in the competition so that;
I. A did not come first, B did not come second, C did not come third and D did not come fourth.
II. B won more coins than C.
III. D won more coins than B.
7. C, one of the four winners ended the competition in position number.
a. 4
b. 2
c. 1
d. Cannot be determined
8. If 12 participants took part in the competition, then how many coins did B win?
a. 2
b. 3
c. 4
d. Cannot be determined
9. If 13 participants took part in the competition and A won 4 coins, how many coins did d win?
a. 7
b. 5
c. 6
d. Cannot be determined
10. The average age of a woman and her daughter is 16 years. The ratio of their ages in 7 : 1 respectively. What is the woman’s age?
a. 4 years
b. 28 years
c. 32 years
d. 6 years
e. None of these
11. Deven Invests Rs. 2,34,558 which is 25% of his annual income, in National Saving schemes. Whar is his monthly income?
a. Rs. 9,38,232
b. Rs. 78,186
c. Rs. 4,69,116
d. Rs. 2,34,558
e. None of these
12. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the stream is
a. 10 km/h
b. 5 km/h
c. 4 km/h
d. 6 km/h
e. None of these
