Dear readers,
This quiz consists of actual questions from various CAT
papers from the last few years. Leave your answers/ responses in the comments
section below and soon we’ll let you know the correct answers!
1. There are six boxes numbered 1, 2, 3, 4, 5, 6. Each
box is to be filled up either with a white ball or a black ball in such a
manner that at least one box contains a black ball and all the boxes containing
black balls are consecutively numbered. The total number of ways in which this
can be done equals.
(a) 15 (b)
21 (c) 63 (d) 64
2. Consider the
following steps:
1. Put x = 1, y = 2
2. Replace x by xy
3. Replace y by y +1
4. If y = 5 then go to step 6 otherwise go to step 5.
5. Go to step 2
6. Stop
Then the final value of x equals
(a) 1 (b) 24 (c) 120 (d) 720
3. If n is any positive integer, then n^3 – n is
divisible
(a) Always by 12 (b)
Never by 12 (c) Always
by 6 (d) Never by 6
Questions 4-6: A dealer deals only in colour TVs and
VCRs. He wants to spend up to Rs. 12 lakhs to buy 100 pieces. He can purchase a
colour TV at Rs. 10,000 and a VCR at Rs. 15,000. He can sell a colour TV at Rs.
12,000 and a VCR at Rs. 17,500. His objective is to maximize profits. Assume
that he can sell all the items that he stocks.
4. For the maximum profit, the number of colour TVs
and VCRs that he should respectively stock are
(a) 80, 20 (b)
20, 80 (c) 60, 40 (d) None of these
5. If the dealer would have managed to get additional
space to stock 20 more items, then for maximizing profit, the ratio of number
of VCRs and number of TVs that he should stock is
(a) 7 : 3 (b) 0 (c) 1 : 2
(d) None of these
6. The maximum profit, in rupees lakhs, that a dealer
can earn from his original stock if he can sell a colour TV at Rs. 12,200 and
VCR at Rs. 18,300 is
(a) 2.64 (b)
2.49 (c) 2.72 (d) 2.87
7. The roots of the equation ax^2 + 3x + 6 = 0 will be
reciprocal to each other if the value of a is
(a) 3 (b)
4 (c) 5 (d) 6
8. Two trains are traveling in opposite direction at
uniform speeds 60 and 50 km per hour respectively. They take 5 seconds to cross
each other. If the two trains had traveled in the same direction, then a
passenger sitting in the faster moving train would have overtaken the other
train in 18 seconds. What are the lengths of the two trains (in metres)?
(a) 112.78 (b)
97.78, 55 (c)
102.78, 50 (d) 102.78, 55
9. If equal numbers of people are born on each day,
find the approximate percentage of people whose birthday will fall on 29th February
(if we are to consider people born in 20th century and assuming no deaths).
(a) 0.374 (b)
0.5732 (c) 0.0664 (d) None of these
10. I brought 30 books on Mathematics, Physics, and
Chemistry, priced at Rs. 17, Rs. 19, and Rs. 23 per book respectively, for
distribution among poor students of Standard X of a school. The physics books
were more in number than the Mathematics books but less than the number of
Chemistry books, the difference being more than one in each case. The total
cost amounted to Rs. 620. How many books on Mathematics, Physics, and Chemistry
could have been bought respectively?
(a) 5, 8, 17 (b)
5, 12, 13 (c) 5, 10, 15 (d) 5, 6, 19
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Answers
1(b) 2(b)
3(c) 4(c) 5(b)
6(a) 7(d) 8(c)
9(d) 10(c)