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May 2, 2021 - CSAT Quiz
1. In a certain code, ‘256’ means ‘red colour chalk’, ‘589’ means ‘green colour flower’ and ‘254’ means ‘white colour chalk’. The digit in the code that indicates `white’ is
(a) 2
(b) 4
(c) 5
(d) 8
2. P = (40% of A) + (65% of B) and Q = (50% of A) + (50% of B), where A is greater than B. In this context, which of the following statements is correct?
(a) P is greater than Q.
(b) Q is greater than P.
(c) P is equal to Q.
(d) None of the above can be concluded with certainty.
3. Six boys A, B, C, D, E and F play a game of cards. Each has a pack of 10 cards. F borrows 2 cards from A and gives away 5 to C who in turn gives 3 to B while B gives 6 to D who passes 1 to E. Then the number of cards possessed by D and E is equal to the number of cards possessed by
(a) A, B and C
(b) B, C and F
(c) A, B and F
(d) A, C and F
4. There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. What is the maximum number of rectangles and squares that can be formed?
(a) 16
(b) 24
(c) 36
(d) 42
5. A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?
(a) 480 km
(b) 260 km
(c) 240 km
(d) 120 km
ANSWERS
1. Solution
Let us solve this question using elimination. 256 means red colour chalk (thus white is none of 2 or 5 or 6). 589 means ‘green colour flower’ (thus white is none of 5, 8 or 9). Thus white is none of 2, 5, 6, 8 or 9 and hence we get only one option (b) which can represent white. Thus answer is option (b).
(b) 4
2. Solution
Here nothing has been said about the relative magnitudes of A and B or whether they are both positive, both negative or one positive and one negative. Therefore, let us assume some value for A and B and see whether we can make any progress:
Let A = 100 and B = 50. In this case P shall come out to be 72.5 and Q shall be 75. That is P shall be smaller to Q.
Now Let A = 100 and B = 99. In this case P shall be 104.35 and Q shall become 99.5. That is P shall be greater to Q.
Thus with different values of A and B, we get different results about magnitudes of P and Q. Thus the answer shall be
(d) None of the above can be concluded with certainty.
3. Solution
D + E = 15 + 11 =26
By option, B + C + F =7 + 12 +7 =26
(b) BCF
4. Solution
4 vertical and 4 horizontal lines
Squares are: a, b, c, d, e, f, g, h, i, (abde), (bcef), (degh), (efhi), ABCD
Rectangles are: (ab), (bc), (de), (ef), (gh), (hi), (ad), (dg), (be), (eh), (cf), (fi),
(abc), (def), (ghi), (adg), (beh), (cfi),
(abcdef), (defghi), (adgbeh), (behcfi)
Required number = 14 + 22 = 36
(c)
5. Solution
Two hours later the freight train from Delhi to Mumbai must have covered a distance of 40 × 2 = 80 km. Now in this question, we know that the express train is running faster than the freight train so it will eventually catch up with the freight train. If we assume that after 2 hours the freight train has stopped then basically we have to find out in how much time the express train (whose relative speed will be 60-40 = 20 km/hr) cover the distance of 80 km that separates the two trains. Now with 20 km/hr the express train would cover 80 km in 4 hours. Thus in four hours the distance covered by the express train shall be 4 × 60 = 240 km. Hence the answer is option (c).
(c) 240 km
D + E = 15 + 11 =26
By option, B + C + F =7 + 12 +7 =26
(b) BCF
4. Solution
4 vertical and 4 horizontal lines
Squares are: a, b, c, d, e, f, g, h, i, (abde), (bcef), (degh), (efhi), ABCD
Rectangles are: (ab), (bc), (de), (ef), (gh), (hi), (ad), (dg), (be), (eh), (cf), (fi),
(abc), (def), (ghi), (adg), (beh), (cfi),
(abcdef), (defghi), (adgbeh), (behcfi)
Required number = 14 + 22 = 36
(c)
5. Solution
Two hours later the freight train from Delhi to Mumbai must have covered a distance of 40 × 2 = 80 km. Now in this question, we know that the express train is running faster than the freight train so it will eventually catch up with the freight train. If we assume that after 2 hours the freight train has stopped then basically we have to find out in how much time the express train (whose relative speed will be 60-40 = 20 km/hr) cover the distance of 80 km that separates the two trains. Now with 20 km/hr the express train would cover 80 km in 4 hours. Thus in four hours the distance covered by the express train shall be 4 × 60 = 240 km. Hence the answer is option (c).
(c) 240 km
POSTED ON 02-05-2021 BY ADMIN
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