CGL questions on Average, Mixture & Alligation - SSC

The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?

80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.

A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How many boys were shifted to another hostel?

Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?

The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

The average of 9 consecutive numbers is 20. The smallest of these numbers is:

The average weight of P and his three friends is 55 kg. If P is 4 kg more than the average weight of his three friends, what is P's weight (in kg)?

In the month of March, Dalip earned on an average ₹501 per day. For the first 18 days, his average earning was ₹495 and, for the last 15 days, his average earning was ₹505 . On 18th March, he earned ₹50 more than that earned on 17th March. How much (in ₹) did he earn on 18th March?

What is the average of the first six prime numbers?

The average of three numbers is 15. The average of the second and the third number is 12.5. What is the first number?

The average of eight consecutive odd numbers is 28. The sum of the smallest and the largest number is:

The average of sixteen numbers is 48. The average of the first six of these numbers is 45 and that of the last seven numbers is 53. The seventh and the eighth numbers are, respectively, 3 and 7 greater than the ninth number. What is the average of the ninth and seventh numbers?

Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

What is the average of all the prime numbers between 70 and 90?

A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed (in km/h) for the entire journey?

In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?

Ras Bihari, a plumber, earned on an average ₹925 per day in the month of January. He earned on an average ₹881 per day during the first 20 days and ₹915 per day during the last 20 days. What was his average income (in ₹) per day from 12th January to January?

While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?

The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The  sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh numbers is:

The average of a set of 18 consecutive integers is 22.5. What is the largest integer in the set?

The average score (runs/match) of Mithali before the start of the women’s national series was 45. In the women’s national series of 10 matches, her total score was 500 runs. Find the total number of matches played by her till date, if her new average after the series is 47.5.

The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers are excluded, then what is the average of the remaining numbers?

The average of 15 numbers is 30, while the average of 13 of these numbers is 31. If the remaining two numbers are equal, then what is each of the two numbers?

The average of 52, 71, 43, 22, a, and b is 55 and the average of 42, 45, 49, 51, 42, c, and d is 53 . What is the average of a, b, c, and d?

The average of 23 numbers is 51. The average of first 12 numbers is 49 and the average of last 12 numbers is 54. If the twelfth number is removed, then the average of the remaining numbers (correct to two decimal places) is: