TCS Ignite Question Paper Set-2 (Set 13)

TCS New Pattern 2013 – TCS IGNITE 2 — SET 13:

This is given in recent exam in TCS IGNITE, Please go through it and solve. Please comment your answer here, so the others could get it also.

# 1
Assume that the average height of young males in India is represented by the following graph.
From 11 to 16 years of age, the growth rate of males is slowest at

• 16 years.
•
• 15 years.
•
• 11 years.
•
• 12 years.

# 2
At different times during the day Dhruva gets emails in his yahoo account. When he has time, Dhruva goes to his inbox and reads the most recent unread mail. If there are 5 emails in all and they are delivered to Dhruva in the order 1 2 3 4 5, which of the following could not be the order in which Dhruva reads them?
•

•
• 43125
•
• 54321
•
• 13452
•
• 13254



• 23145

# 3
Seven numbers are entered into a circular grid using the following rules.
• For any three consecutive numbers on the boundary, the middle number is the sum of the other two.
• The number in the inner circle is the sum of the other 6 numbers.
Given the partially filled grid below, what is the sum of all seven values when it is completed according to these rules? In the figure, x = 6.

 • There is insufficient information to compute the sum.
• 6
• 42
• 44
• 0
# 4
A calculator has a key for squaring and one for inverting. So if x is the displayed number, then pressing the square key will replace x by x2 and pressing the invert key will replace x by 1/x. If initially the number displayed is 6 and one alternately presses the invert and square key 16 times each, then the final number displayed (assuming no roundoff or overflow errors) will be

• 6 -(216)
• 6((-2)16)
• 6 -32
• 632
• 6((-1)1632)

# 5
A cube of length 9cm is given. Square holes of length 3cm centered in each face are cut through to the opposite face. The edges of the hole are parallel to the edges of the cube (see figure). The surface area of the cube including the insides (in sq cm) is

• 486
• 702
• 648
• 864
• 756

# 6
If the solutions of the equation x2 + px + q = 0 are the cubes of the solutions of the equation x2 + mx + 2 = 0, then

• p – q = m3
• p = m3q
• p + q = m3
• p = m3 + 6m
• p = m3 – 6m

# 7
The roads of boston city form a 1×8 grid with the meeting point of roads forming nodes. A route from node A to B is a path that does not traverse the same road twice. The length of the route is the number of roads in the path. There are different routes joining the upper left and lower right nodes with some having the same length. Which of the numbers below is the length of fewest routes?
As an illustration, a 1×4 grid is shown with 2 possible routes of length 7 from node A to B.


• 9
• 13
• 11
• 17

# 8
A bag contains six 10-rupee coins, four 5-rupee coins and two 1-rupee coins. Six coins are drawn without replacement with each coin equally likely to be chosen. What is the probability that the coins add up to a value of at least 48 rupees?
• 59/924
• 127/924
• 194/924
• 91/924
• 37/924