Q1. The avg. price of three diamonds of same weights is Rs. 5 crore, where the average price of the two costliest diamonds is double the price of the cheapest diamond. what will be the price of the cheapest diamond?
(a) 3 crore
(b) 5 crore
(c) 1.66 crore
(d) can’t be determined
(e) None of these
Q2. The average marks of Sameer decreased by 1, when he replaced the subject in which he has just scored 40 marks by the other two subjects in which he has just scored 23 and 25 marks respectively. Later he has also included 57 marks of Computer Science, then the average marks increased by 2. How many subjects were there initially?
(a) 6
(b) 12
(c) 15
(d) Can’t be determined
(e) None of these
Q3. In a set of prime and composite numbers, the composite numbers are twice the number of prime numbers and the average of all the numbers of the set is 9. If the number of prime numbers and composite numbers are exchanged then the average of the set of numbers is increased by 2. If during the exchange of the numbers the average of the prime numbers and composite numbers individually remained constant, then what was the ratio of the average of composite numbers to the average of prime numbers(initially)?
(a)7/13
(b)13/7
(c)9/11
(d)6/13
(e)None of these
Q4. A Milk vendor has 64 ltr of pure milk and he mixed 16 ltr of water in it. He sold some quantity of mixture @ 20% profit. He again mixed water by same quantity what he has sold. Now the quantity of milk and water is same. He sold the resultant mixture at CP. Find overall profit percentage.
Q5. There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 31 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mass?
(b) Rs.583.3
(c) Rs.623.3
(d) Rs.632
(e) None of these
Q6. An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600, and 800 kmph. Find the average speed of the plane around the field.
(a) 370 kmph
(b) 368kmph
(c) 384 kmph
(d) 390 kmph
(e) None of these
Q7. Two vessels A and B of equal capacities contain mixtures of milk and water in the ratio of 4 : 1 and 3 : 1 respectively. 25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A. What is the ratio of milk to water in Vessel A after the second operation?
(a) 79 : 21
(b) 83 : 17
(c) 77 : 23
(d) 81 : 19
(e) None of these
Q8. In a factory there are three types of machines M1, M2, and M3 which produces 25% , 35% and 40% of the total products respectively. M1, M2, and M3 produces 2%, 4% and 5% defective products, respectively. What is the percentage of non-defective products?
(a) 89%
(b) 97.1%
(c) 96.1%
(d) 86.1%
(e) None of these
Q9. King Vijay Saw, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Vijay was having initially?
(a) 1,50,000 kg
(b) 1,49,600 kg
(c) 1,51,600 kg
(d) 1,52,600 kg
(e) None of these
Q10. Anjali’s Mathematics test had 75 problems i.e., 10 Arithmetic, 30 Algebra and 35 geometry problems. Although she answered 70% of the Aritmetic, 40% of the Algebra and 60% of the geometry problems correctly, She did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to earn a 60% passing grade?
(a) 4
(b) 5
(c) 6
(d) 7
(e) 8
Directions (Q.11-Q12): According to a plan, a team of woodcutters decided to harvest 216 cubic metre of wheat in several days. In the first three days, the team fulfilled the daily assignment, and then it harvested 8 cubic metre of wheat over and above the plan every day. Therefore, a day before the planned date, they had already harvested 232 cubic metre of wheat.
Q11. How many cubic metres of wheat a day did the team have to cut according to the plan?
(a) 24
(b) 28
(c) 26
(d) Can’t be determined
(e) None of these
Q12. To harvest 216 cubic metre of wheat 2 days before the planned date, how many cubic metres of wheat must be harvested by team over and the above the plan every day after first three days?
(a) 8 cubic metre
(b) 12 cubic metre
(c) 10 cubic metre
(d) 16 cubic metre
(e) None of these
Q13. Jonny has two cycles and one rickshaw. The rickshaw is worth Rs. 96. If he sells the rickshaw along with the first cycle, he has an amount double that of the value of the second cycle. But it he decides to sell the rickshaw along with the second cycle, the amount received would be less than the value of first cycle by Rs. 306. What is the value of first cycle?
(a) Rs. 900
(b) Rs. 600
(c) Rs. 498
(d) None of these
(E) Rs. 780
Q14. Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10-litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.
(a) 55%
(b) 50%
(c) 45%
(d) 48%
(e) None of these
Q15. A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder?
(a) 3 cm
(b) 1.5 cm
(c) 1 cm
(d) 2.5 cm
(e) None of these
Solutions:
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