The average of 17 numbers is 48. The average of first 9 numbers is 45 and average of next 9 numbers is 52. If 9th number is excluded, the average of the remaining number is:
Show answerHide answer
Correct answer: (B) 47.4375
CIL MT · Topic-wise previous year questions
Mathematics Previous Year Questions (page 2)
75 Mathematics questions asked in CIL MT previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.
- 75 questions
- 1 topics
- Official answer key
- Free
Practise by topic
Alloy A contains copper and zinc in the ratio 4 : 5 and alloy B contains copper and zinc in the ratio 7 : 2. A and B are taken in the ratio 7 : 4 and melted to form a new alloy. The percentage of copper in the new alloy is closest to:
Show answerHide answer
Correct answer: (C) 56.57%
A woman distributed her savings between her daughters A, B, C and D in the ratio 6 : 7 : 9 : 16. If A gives Rs. 600 from his share to C, the ratio of shares of A, B, C and D becomes 1 : 4 : 2 : 5. What is the sum of shares (in Rs.) of A, C and B, in the beginning?
Show answerHide answer
Correct answer: (A) 13200
Sum of first 10 terms of a GP is equal to the sum of the first 12 terms in the same GP. Sum of the first 17 terms is 42, what is the fourth term in the GP?
Show answerHide answer
Correct answer: (B) -42
If a six-digit number 3x9z8y is divisible by 7, 11, 13, then the average value of x, y, z is:
Show answerHide answer
Correct answer: (D) 20/3
Twenty five litres of 40% concentration of acid solution is added to 35 litres of 70% concentration of acid solution. What is the concentration of acid in the new solution?
Show answerHide answer
Correct answer: (A) 57.5%
A 18 m long ladder (whose foot is on the ground) leans against a wall making an angle of 30° with the wall. What is the height (in m) of the point where the ladder touches the wall from the ground?
Show answerHide answer
Correct answer: (A) 9√3
A person invested a sum of Rs. 9000 at r% per annum at simple interest and a sum of Rs. 13500 at (r−2)% at simple interest. If total interest earned on both the investments for 5 years is Rs. 9337.50, then the rate of interest on the first investment is:
Show answerHide answer
Correct answer: (D) 9.5%
From the top of a pole house A in a street, the angles of elevation and depression of the top and foot of house B on the opposite side of the street are 60° and 30°, respectively. If the height of pole house A is 21 m, then what is the height (in m) of house B? (correct to one decimal place)
Show answerHide answer
Correct answer: (A) 48.5
A woman saves 18% of her income. If her income increases by 15% and the expenditure increases by 21.6%, then what is the percent decrease in the saving (correct to one decimal place)?
Show answerHide answer
Correct answer: (B) 15.1
If A's income is 60% more of B's income and B's income is 40% less than C's income, then by what percent is C's income more than A's income? (Correct to one decimal place)
Show answerHide answer
Correct answer: (A) 4.2
A person sold two articles for Rs. 1836 each. On one he gained 20% and on other he lost 20%. What is his overall gain or loss percent, correct to one decimal place?
Show answerHide answer
Correct answer: (D) 4% loss
A train while going slower by 15 km reaches late by 45 hours, if it travels faster by 60 km it reaches 72 hours earlier. The total distance (in km) travelled is:
Show answerHide answer
Correct answer: (D) 9750
If x = (√7 − √5) / (√5 + √7) and y is reciprocal of x, then what is the value of √(x³ + y³)?
Show answerHide answer
Correct answer: (C) 6√47
In a class of 60 students, the girls are 60%. The average weight of boys is 62 kg and that of girls is 58 kg. What is the average weight (in kg) of whole class?
Show answerHide answer
Correct answer: (C) 59.6
A loan has to be returned in two equal yearly instalments each of Rs. 42135. If the rate of interest is 6% p.a., compounded annually, then the total interest paid (in Rs.) is:
Show answerHide answer
Correct answer: (B) 7020
A and B can do a work in 21 days, A is 7/4 times as efficient as B. In how many days, A alone can complete the (200/3)% of the work?
Show answerHide answer
Correct answer: (A) 22
The value of (5.169 × 5.169 × 5.169 + 64 × (0.888)³) / ((5.169)² + (3.552)² − 4 (0.888)(5.169)) is (8 + k), where k = ?
Show answerHide answer
Correct answer: (C) 0.721
If √(12 − 2√35) + √(8 + 2√15) = √a + √b, where a and b are positive integers, then the value of ab is closest to:
Show answerHide answer
Correct answer: (A) 21
The third term of an arithmetic progression is 6. Then the sum of first five terms is:
Show answerHide answer
Correct answer: (B) 30
A can do a certain work in 12 days, B alone can do the same work in 16 days. A and B undertook to complete it in Rs. 8000. With the help of C, they completed the work in 6 days. How much money (in Rs.) be paid to C?
Show answerHide answer
Correct answer: (A) 1000
If x⁴ + x²y² + y⁴ = 29 and x² − xy + y² = 5, then what is the value of 5xy?
Show answerHide answer
Correct answer: (B) 2
A person marks his goods 40% above the cost price. He sold 30% of goods at marked price, 60% of the remaining at a discount of 20% and remaining at 40% discount. What is his overall gain percent?
Show answerHide answer
Correct answer: (D) 17.6%
A covers a certain distance at a certain speed. If he covers half of the distance in three time then the ratio of this speed to the original speed is:
Show answerHide answer
Correct answer: (C) 1:6
If x⁴ − 79x² + 1 = 0, then a value of x³ + x⁻³ can be:
Show answerHide answer
Correct answer: (A) 702
How to use these CIL MT Mathematics questions
Every question here was asked in a real CIL MT paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full CIL MT papers as timed tests to check your speed under exam conditions.