Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm)
Solution: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm. After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm. So % of water = 100 x 60/75 = 80%. The correct answer is: A) 80%
Q: The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is
Solution: Let the numbers be x and 4x. Then, x×4x=84×21 ⇔ x2=84×214⇔ x=21 Hence Larger Number = 4x = 84 The correct answer is: C) 84
Q: The year next to 2005 will have the same calendar as that of the year 2005?
Solution: NOTE : Repetition of leap year ===> Add +28 to the Given Year. Repetition of non leap year Step 1 : Add +11 to the Given Year. If Result is a leap year, Go to step 2. Step 2: Add +6 to the Given Year. Solution : Given Year is 2005, Which is a non leap year. Step 1 : Add +11 to the given year (i.e 2005 + 11) = 2016, Which is a leap year. Step 2 : Add +6 to the given year (i.e 2005 + 6) = 2011 Therfore, The calendar for the year 2005 will be same for the year 2011 The correct answer is: C) 2011
Q: If a+b=5 and 3a+2b=20,then (3a+b)will be :
Solution: a+b=5 ...(1) and 3a+2b=20 ...(2) Multiplying (1) by 2 and subtracting from (2), we get : a=10. Putting a=10 in (1), we get : b=-5 Therefore, (3a+b) = 3 x 10+(-5)=30-5=25. The correct answer is: C) 25
Q: In how many ways can 4 girls and 5 boys be arranged in a row so that all the four girls are together ?
Solution: Let 4 girls be one unit and now there are 6 units in all. They can be arranged in 6! ways. In each of these arrangements 4 girls can be arranged in 4! ways. Total number of arrangements in which girls are always together = 6! x 4!= 720 x 24 = 17280 The correct answer is: B) 17280
Q: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Solution: Average of 20 numbers = 0. Sum of 20 numbers = (0 * 20) = 0. It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a). The correct answer is: A) 0
Q: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Solution: After 10 days : 150 men had food for 35 days. Suppose 125 men had food for x days. Now, Less men, More days (Indirect Proportion) 125 : 150 :: 35 : x => 125 x x = 150 x 35 => => x = 42. The correct answer is: C) 42
Q: The principal that amounts to Rs.4913 in 3 years at 413% per annum compound interest compounded annually is
Solution: principal = A=4913,T=3, R=413 P=A1+R100T = Rs.4096 The correct answer is: D) Rs.4096
| You Have Score | /8 |