Q1. One type of liquid contains 20% water and the second type of liquid contains 35% of water. A glass is filled with 10 parts of first liquid and 4 parts of second liquid. The percentage of water in the new mixture in the glass is:
Q2. In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both types of lunch. If 96 people were present, how many did not eat either type of lunch?
Q3. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs. 25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?
(a) Rs. 12,000
(b) Rs. 13000
(c) Rs. 14000
Q4. A man bought apples at the rate of 8 for Rs. 34 and sold them at the rate of 12 for Rs. 57. How many apples should be sold to earn a net profit of Rs. 45?
Q5. A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at Rs. 8 per dozen. He sold these oranges at Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was:
(a) 30 dozens
(b) 40 dozens
(c) 50 dozens
(d) 60 dozens
Q6. Length of a goods train is 287 m and it passes a bridge in 38 sec running at the speed of 90 km/h. What is the length of the bridge?
(a) 665 m
(b) 663 m
(c) 680 m
Q7. A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the dimension of the base are 15 cm and 12 cm respectively, what is the rise in the water level?
(a) 7.4 m
(b) 6.4 m
(c) 7 m
Q8. The base of parallelogram is 36 m and the vertical distance between the parallel lines is 21 cm. What will be the area of the isosceles triangle constructed on the same base and between the same parallel lines?
(a) 756 cm2
(b) 278 cm2
(c) 378 cm2
(d) 478 cm2
Q9. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is
Q10. In ∆ABC, P and Q are mid-points of sides AB and BC respectively, right angled at B, then
Q11. Find the smallest number required to be added to 2000 to get a number exactly divisible by 17.
Q12. Two numbers are in the ratio 3: 4, and their LCM is 108. Find their HCF.
Q13. A number P4571203K is divisible by 18. Which of the following values can P and K take?
(a) 1, 2
(b) 2, 3
(c) 3, 3
Q14. Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the letter. Find out the distance:
(a) 6 km
(b) 9 km
(c) 8 km
Q15. If a boys walks from his house to school at the rate of 4 km/h, he reaches the school 10 minute earlier than the scheduled time. However if he walk at the rate of 3 km/h, he reaches 10 minute late. Find the distance of the school from the house:
(a) 5 km
(b) 4 km
(c) 6 km
(d) 4.5 km