1 Direction for questions 1 to 3.
Five different currencies are considered, and their exchange rates on a particular day are as follows: The numbers in cells in every horizontal row represent the number of units of currency of the column in consideration that are the equivalent of 1 unit of currency in the row in consideration. For example, in row 1, column 2, 1.55 denotes that 1.55 units of currency B are the equivalent of 1 unit of currency A.
1. A1 = ?a. 0.75b. 1.55c. 0.65d. None
2 A2 = ? is :a. 0.75b. 0.73c. 0.62d. cant be determined
3 A12 = ?a. 0.75b. 0.98c. 1.25d. 0.88
4 The remainder when 12345678 is divided by 10 isa. 2b. 4c. 6d. 8
5 Consider the five points comprising the vertices of a square and the intersection point of its diagonals. How many triangles can be formed using these points?a. 4b. 6c. 8d. 10
6 If m and n are integers and 2m n = 3, then m 2n must bea. equal to -3b. equal to 0c. a multiple of 3d. an odd integer
7 A set of consecutive positive integers beginning with a is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17 . what was the number erased ?a. 7b. 8c. 9d. none
8 rection for questions 8 to 10.
A, B, C and D collected one rupee coins following the given pattern
Together they collected 100 coins.
Each of them collected even number of coins.
Each one of them collected at least 100 coins.
No two of them collected the same number of coins.
8.The maximum number of coins by any one of them cannot exceeda. 64b. 36c. 54d. None
9 If A collected 54 coins , then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at leasta.12b.24c.30d.None
10 If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could bea.28b.20c.26d.22
11 Find the sum to 20 terms of the series 1 x 22 + 3 x 42 + 5 x 62 . . .a. 12, 832b. 2,84,500c. 3,41,320d. 2,96,210
12 The minimum value of the expression 4x2 + 2y2 + 6x + 5y + 5 , given x , y ? R.a. 33/8b. 33/8c. -3/8d. 15/8
13 For a Fibonacci sequence , from the third term onwards, each term in the sequence is the sum of the previous two terms in that sequence. If the difference in sequence in squares of 7th and 6th terms of this sequence is 517, what is the 10th term of this sequence?a.147b. 76c. 123d. Cannot be determined
14 Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?a. 2 kgb. 2.4 kgc. 2.5 kgd. None
15 A yearly payment to the servant is Rs. 90 plus one turban. The servant leaves the job after 9 months and recives Rs. 65 and a turban. Then find the price of the turban.a. Rs.10b. Rs.15c. Rs.7.50d. cannot be determined
16 Four identical coins are placed in a square. For each coin the ratio of area to circumference is same as the ratio of circumference to area. Then find the area of the square that is not covered by the coins.a. 16(p -1 )b. 16(8 - p)c. 16(4 - p)d. 16(4 - p/2)
17 Let f be a function satisfying f(xy) = f(x)/y for all positive real numbers x and y . If f(30) = 20 , then the value of f(40) is
18 ection for questions 18 & 19.
Production pattern for number of units (in cubic feet) per day
For a truck that can carry 2,000 cubic ft, hiring cost per day is Rs. 1,000. Storing cost per cubic feet is Rs. 5 per day.
18.If all the units should be sent to the market, then on ehich days should the trucks be hired to minimize the cost?a. 2nd , 4th, 6th, 7thb. 7thc. 2nd , 4th, 5th, 7thd. None
19 If the storage cost is reduced to Re. 0.80 per cubic feet per day, then on which day(s), should truck be hired?a. 4thb. 7thc. 4th and 7thd. None
20 Ravi invested a certain amount in a 15 years fixed deposit scheme. An interest of Rs. 1,250 was accrued for the 5th year whereas Rs. 2,450 was accrued for the 11th year. If the interest is compounded annually , what is the maturity value of Rs. 1, 00,000 invested today, at the end of the 15 years of the fixed deposit scheme ?a. Rs. 5,37,824b. Rs. 5,87,624c. Rs.5,23,736d. None
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