Q. If the radius of a cylinder is increased by 25%, then by how much percent the height must be reduced, so 'that the volume of the cylinder remains the same?
1) 58
2) 36
3) 42
4) 62
Q. What is the remainder if 2192 is divided by 6?
1) 0
2) 1
3) 2
4) 4
Q. What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3, and 4, where none of the digits is repeated?
1) 7998
2) 8028
3) 8878
4) 3238
Q. How many natural numbers are there that give a remainder of 31 when 1186 is divided by these natural numbers?
1) 6
2) 7
3) 8
4) 9
Q. A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct?
1) R = S
2) R>S
3) R4) R_
Q. A rectangular floor measures 4 m in length and 2.2 m in breadth. Tiles of size 140 cm by 60 cm have to be laid such that the tiles do not overlap, a tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. What is the maximum number of tiles that can be accommodated on the floor?
1) 6
2) 7
3) 8
4) 9
Q. In an examination, the maximum marks for each of the four papers namely P, Q, R, and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n?
1) 16
2) 17
3) 23
4) 35
Q. A, B, and C working independently can do a piece of work in 8, 16, and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday; A alone, again works on Thursday, and so on. Consider the following statements:
1. The work will be finished on Thursday.
2. The work will be finished in 10 days.
Which of the above statements is/are correct?
1) Only 1
2) Only 2
3) Both 1 and 2
4) Neither 1 nor 2
Q. D is a 3-digit number such that the ratio of the number to the sum of its digits is the least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D?
1) 0
2) 7
3) 8
4) 9
Q. If ABC and DEF are both 3-digit numbers such that A, B, C, D, E, and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F?
1) 28
2) 29
3) 30
4) 31
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