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
Q. What is the remainder when 85 x 87 x 89 x 91 x 95 x 96 is divided by 100?
1) 0
2) 1
3) 2
4) 4
Q. In how many ways can a batsman score exactly 25 runs by scoring single runs, fours, and sixes only, irrespective of the sequence of scoring shots?
1) 18
2) 19
3) 20
4) 21
Q. Raj has ten pairs of red, nine pairs of white, and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?
1) 27
2) 36
3) 44
4) 45
Q. The difference between a number and its three fifth is 50. What is the number?
1) 72
2) 100
3) 125
4) None of the these
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