Quant Test 119
1. How many 4-digit positive integral numbers are there in base 7, if you are counting the numbers in the same base system?
2058
5666
6000
6666
None of these
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2. The height of an apple tree is given by the sum of two terms. The first term is directly proportional to the weight of the tree and the second term is
directly proportional to the square of the weight of the tree. The height of the tree was 6 m and 8 m, when its weight was 40 kg and 50 kg
respectively. Find the approximate weight of the tree when its height was 5 m.
39 kg
44 kg
25 kg
35 kg
32 kg
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3. Tania prepares for the CAT examination by practicing for 100 days. On any of these 100 days she does not solve more than 20 questions. If on
any day, she solves more than 12 questions, then she solves at most 6 questions each on the next two days. What is the maximum possible
number of questions that she can solve over the period of 100 days?
1200
1208
1220
960
1240
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4. If the sum of lengths of three sides of a rectangle is 100 units, then find the maximum possible area of
the rectangle ?
1110.9 sq. units
1250 sq. unit
990 sq. units
1008 sq. units
1225 sq. units
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5. If the three real roots of equation
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are the second, fifth and the eighth terms of a geometric progression, then which of the following is true?
q =0
p + 2q = 0
q + 3p = 0
p + q = 0
None of these
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6. Two numbers have 36 factors each and HCF of these two numbers is 36. What is the minimum possible LCM of these two numbers if the power of
any prime factor in these two
numbers is not more than 3?
cube(2) × cube(3) × sqr(5) × 7
sqr(2) ×sqr( 3) × cube(5) × cube(7)
cube(2) ×cube( 3) × sq