1.Two times a two-digit number is 9 times the number obtained by reversing the digits and sum of the digits is 9. The number is:
(a) 72
(b) 54
(c) 63
(d) 81
2.If such numbers which are divisible by 5 and also those which have 5 as one of the digits are eliminated from the numbers 1 to 60, how many numbers remain?
(a) 40
(b) 47
(c) 53
(d) 45
3.One of a group of swans, 7/2 times the square root of the number are playing on the shore of the pond. The two remaining are inside the pond. What is the total number of swans?
(a) 10
(b) 14
(c) 12
(d) 16
4.The total tractor production in a state is 294000, out of which 150000 are made by Mahindra & Mahindra. Out of every 1000 Mahindra tractors, 98 are red in colour, but only 53 % of the total tractor production is red. Find the percentage of non- Mahindra tractors that are red out of total non – Mahindra tractors.
(a) 5.025%
(b) 5.130%
(c) 0.6125%
(d) 6.140%
5.In a coaching institute, 40 students are selected in banking exam coaching, 30 students selected in staff selection exam coaching and 20 students are selected in both the examinations coaching. How many students are there in the institute?
(a) 45
(b) 55
(c) 50
(d) 40
6.A student purchased a computer system and a colour printer. If he sold the computer system at 10% loss and the colour printer at 20% gain, he would not lose anything. But if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose Rs 800 in the bargain. How much did he pay for the colour printer?
(a) Rs. 8000
(b) Rs 16000
(c) Rs. 9000
(d) Rs. 5334
7.A sum of Rs. 30600 is divided between Anjali and Arun, who are respectively 18 and 19 yr old, in such a way that if their shares are invested at 4% per annum compounded annually, they shall receive the same amount on reaching 21 yr of age. What is the share of Anjali?
(a) Rs. 16000
(b) Rs. 15000
(c) Rs. 15600
(d) Rs. 14600
8.Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all the three pipes are open, empty tank becomes full in 1 hour. The capacity of the tank (in gallons is)?
(a) 400
(b) 350
(c) 600
(d) 500
9.A man’s income is increased by Rs. 1200 and at the same time, the rate of tax to bepaid is reduced from 12% to 10 %. He now pays the same amount of tax as before. What is his increased income, if 20 % of his income is exempted from tax in both cases?
(a) Rs. 6300
(b) Rs. 7200
(c) Rs. 4500
(d) Rs. 6500
10.There are 2 bottles containing a mixture of wine, water and alcohol. The first bottle contains wine, water and alcohol in the ratio 3: 5: 2. The second bottle contains water and wine in the ratio 5: 4. 1 liter of the first and 2 liter of the second are mixed together. What fraction of the mixture is alcohol?
(a) 1/ 15 L
(b) 6 /13 L
(c) 2/ 15 L
(d) 6 / 19 L
ANSWER KEYS:
1. (d)
2. (a)
3. (d)
4. (c)
5. (c)
6. (b)
7. (b)
8. (c)
9. (b)
10.(a)
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