Question 1
A sum of Rs.700 has to be used to give seven cash prizes to the students of a school for their academic performance. If each prize is Rs.20 less than its preceding prize, what is the least value of a prize?
(A) 30
(B) 40
(C) 50
(D) 60
Question 2
If a bus travels 160 km in four hours and a train travels 320 km in five hours, what is the ratio of distances travelled by them in one hour?
(A) 8:5
(B) 5:8
(C) 4:5
(D) 1:2
Question 3
A man bought 300 quintal of sugar. He sold 200 quintal at the rate of Rs.126 per quintal and gained 5% on them. At what rate should he sell the remaining to gain 10% on the whole?
(A) Rs.144
(B) Rs.140
(C) Rs.155
(D) Rs.138
Question 4
Rohan walks a distance of 3 km towards North, then turns to his left and walks for 2 km. He again turns left and walks for 3 km. At this point he turns left and walks 3 km. How many kilometres away is he from his starting position?
(A) 1
(B) 2
(C) 3
(D) 0
Question 5
Four friends A, B, C and D distribute money in such a way that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the least amount?
(A) A
(B) B
(C) C
(D) D
SOLUTIONS TO DAILY CSAT MISSION # 35
1. (D) 2. (C) 3. (C) 4. (A) 5. (A)
Total number of students in the class = (8 + 37) – 1 = 44
2. Hours between 3:30 pm and 4:00 am = 12.5 hours.
Number of minutes gained will be 12.5 * 2 = 25 minutes.
3. Let the price be Rs 100 per goods and the sale is also of 100 goods.
So the money obtained after selling all the 100 goods = Rs (100 * 100) = Rs 10000.
Now the increased price is Rs 110 per goods and the decreased sale is 95 goods.
So, the money obtained after selling all the 95 goods = Rs (110 * 95) = Rs 10450.
Therefore, increase in income = 10450 – 10000 = Rs 450. Increase % = (450 * 100)/10000 = 4.5%
4. See the representation in the following Venn diagram:
The total number of people who got any one of the three will be (A + B + C + D + E + F + G).
G = 12. (D + G) = 40 (given). So, D = 28.
G = 12. (E + G) = 32 (given). So, E = 20.
G = 12. (F + G) = 20 (given). So, F = 08.
(A + D + G + F) = 112 (given). D = 28. F = 08. G = 12. So, A = 64.
(B + D + G + E) = 120 (given). D = 28. E = 20. G = 12. So, B = 60.
(C + E + G + F) = 160 (given). E = 20. F = 08. G = 12. So, C = 120.
So, now (A + B + C + D + E + F + G) = 312. This is the number of people who got at least one job.
So, people who got no job = 400 – 312 = 88.
5. Valid votes = 80% of 10000 = 8000.
Nishant got = 70% of valid votes, which means Arvind got 30% of the valid votes.
So, number of votes obtained by Arvind = 30% of 8000 = 2400.
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