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1.Ramu & Sangeeta went for biological analysis to a island which is 34km from their place. They travelled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat sangeeta note there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 leged octopuses are there under the water. They both reached the island after 20 min they left . How many seven leged octopuses does sangeetha calculate?

a. 4
b. 5
c. 6
d. 7

ANS: The options provided are wrong. The answer is 2.
7(X)+8(Y)=54 -- X : no of 7 legged octopus. Y: no of 8 legged octopus. Try substituting values of X and you have to get an integer value for Y.

2.In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?

a. 8
b. None
c. 16
d 15

ANS: d
The posts should have different numbers -- 1+2+3+4+5+6+7+8=36
Therefore 8 Posts are filled, implies 23-8=15 Unfilled. There are 14 spots. Each spot has 8 seats. 28 people seated in all the spots. No similar number people sat in any spot. How many spots left with no people at all.

3.There are 14 spots. Each spot has 8 seats. 28 people seated in all the spots. No similar number people sat in any spot. How many spots left with no people at all.

a. 5
b. 6
c. 7
d. 8

ANS: c (same logic as above question)

4Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a. 114
b. 135
c. 21
d. 71

ANS: a
Total number of cubes required to make the solid cube = 3*9*5
To make it hollow, we can remove an inner cube, which has 1*7*3 cubes.
So total number of cubes= 3*9*5-1*7*3=114


5.In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV)
cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?

a. 11
b. 6
c. 10
d. 5

6.Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of the robot is

a. $270
b. $324
c. $216
d. $ 648

ANS: b.
4 is 1/3rd of 12(4+6+2). So you have the answer as 108*3.
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