Directions for
questions 1 to 3: Read the information given below and answer the questions
that follow:
Alphonso, on his death bed, keep half his property for his
wife and divides the rest equally among his three sons Ben, Carl and Dave. Some
years later Ben dies leaving half his property to his widow and half to his
brothers Carl and Daves together, shared equally. When Carl makes his will he
keeps half his property for his widow and the rest he bequeaths to his younger
brother Dave. When Dave dies some years later, he keeps half his property for
his widow and the remaining for his mother. The mother now has Rs 1,575,000.
(1994)
1.
What was the worth of the total property?
(a)
Rs 30 lakh (b) Rs 8 lakh (c) Rs 18 lakh (d) Rs 24 lakh
2.
What was Carl’s original share?
(a)
Rs 4 lakh (b) Rs 12 lakh (c) Rs 6 lakh (d) Rs 5 lakh
3.
What was the ratio of the property owned by the
widows of the three sons, in the end?
(a)
7: 9: 13 (b) 8: 10: 15 (c) 5: 7: 9 (d) 9: 12: 13
4.
A man buys spirit at Rs 60 per litter, adds
water to it and then sells it at Rs 75 per litter. What is the ratio of spirit
to water if his profit in the deal is 37.5%?
(a)
9: 1 (b) 10: 1 (c) 11: 1 (d) None of these
(1996)
1.
Two liquids A and B are in the ratio 5: 1 in
container 1 and in container 2, they are in the ratio 1: 3, what ratio should
the contents of the two container be mixed so as to obtain a mixture of A and B
in the ratio 1: 1?
(a)
2: 3 (b) 4: 3 (c) 3: 2 (d) 3: 4
Directions for
questions 6 to 8: Read the information given below and answer the questions
that follow:
There are 60 students in a class. These students are divided
into three groups A, B and C of 15, 20 and 25 students each. The groups A and C
are combined to form group D.
(1997)
1.
What is the average weight of the students in
group D?
(a)
More than the average weight of A
(b)
More than the average weight of C
(c)
Less than the average weight of C
(d)
Cannot be determined
2.
If one student from Group A is shifted to group
B, which of the following will be true?
(a)
The average weight of both groups increases
(b)
The average weight of both groups decreases
(c)
The average weight of the class remains the same
(d)
Cannot be determined
3.
If all the students of the class have the same
weight, then which of the following is false?
(a)
The average weight of all the four groups is the
same.
(b)
The total weight of A and C is twice the total
weight of B.
(c)
The average weight of D is greater than the
average weight of A.
(d)
The average weight of all the groups remains the
same even if the numbers of students are shifted are from one group to another.
4.
The average marks of a student in ten papers are
80. If the highest and the lowest scores are not considered, the average is 81.
(a)
55 (b) 60 (c) 62 (d) can’t be
determined
5.
The value of each of a set of silver coins
varies as the square of its diameter, if its thickness remains constant and it
varies as the thickness, if the diameter remains constant. If the diameters of
two coins are in the ratio 4: 3, what should the ratio of their thicknesses be
if the value of the first us 4 times that of the second?
(a)
16: 9 (b) 9: 4 (c) 9: 16 (d) 4: 9
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