Quants - 13 march
Q1. The sum of the 4th and 20th term of an arithmetic progression equals the sum of the 6th, 12th and 16th terms. Which term is necessarily zero?
a. 8th b. 10th c. 14th d. 9th
Q2. Find the number of integral solution to |x| + |y| + |z| = 15.
a. 902 b. 728 c. 734 d. 904
Q3. If A = 11 x 22 x 33 x. . . . .15 terms,
then what is the highest power of 75 that can divide A?
a. 1900 b. 1850 c. 2526 d. None of these
Q4. Find the 100th term of the series : 12, 40, 90, 168, 280, 432. . . . . . .
a. 1549982 b. 1392800 c. 105066 d. 1050600
Q5. what is the number of distinct triangles with integral-valued sides and perimeter as 14?
a. 6 b. 5 c. 4 d. 3
Q6. There is a circular pizza with negligible depth. What is the maximum number of pieces that can be formed with three straight cuts?
a. 5 b. 6 c. 7 d. 8
Q7. A and B enter into a patnership. A supplies the capital amounting to Rs. 4500 with the condition that the profit is to be equally divided and that B pays interest on half the capital to A at 10% per annum but receives Rs.120 per month for carrying on the concern. Their total yearly profit if B’s is one half of A’s income will be:
a. 9180 b. 9000 c. 9356 d. 10000
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It is 8 x 14C2 = 728
please chk the below article for the method and explanation
http://www.cat4mba.com/content/division-similar-objects
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Q6. There is a circular pizza with negligible depth. What is the maximum number of pieces that can be formed with three straight cuts?
a. 5 b. 6 c. 7 d. 8
ans is=8
first cut , pizza divided in 2 part put 2 part one above the another
2nd cut divided in 4 part
3rd cut divided in 8 part
Little Star
Q5. what is the number of distinct triangles with integral-valued sides and perimeter as 14?
a. 6 b. 5 c. 4 d. 3
rules of triangle, summation of any two side is greater then another side
i find 4 pair
554,446,662,365,
but i think another pair also possible
can anyone help me hahahah
Little Star
5's are in 5, 10 and 15
Total number of 5's = 5 + 10+ 15 = 30
for 75 = 3 x 25 we need two fives
So power of 75 that can divide = 30/2 = 15
answer d. None of the above
Let a = first term
And d = common difference
Then
a + 3d + a + 19d = a + 5d + a + 11d + a + 15d
=> 2a + 22d = 3a + 31d
=> a + 9d = 0
i.e the 10th term is Zero
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