Q1.Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?
Q2.Some table are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusion can be deduced from the preceding sentences?
(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs
Q3.40% of deaths on city roads may be attributed to drunken driving. The number of degree needed to represent this as a slice of a pie chart is
Answer : Option BExplaination / Solution:
Given 40% of deaths on city roads are drunken driving
w.k.t. in pie chart
100% ⟶ 3600
1%⟶(360/100)
40%⟶(360/100) × 40
40%⟶144%
Q4.There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?
A contour line joints locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
Q6.Trucks (10m long) and cars (5 m long) go on a single lane bridge. There must be a gap of atleast 20 m after each truck and a gap of atleast 15m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternatively, what is the maximum number of vehicles
that can use the bridge in one hour?
Answer : Option AExplaination / Solution:
Given speeds both car & Truck = 36 km/hour
Q7.S, T, U, V, W, X, Y and Z are seated around a circular table. T's neighbours are Y and V. Z is seated third to the left of T and second to the right of S.U's neighbours are S and Y; and T and W are not seated opposite each other. Who is third to the left of V?
Answer : Option AExplaination / Solution:
Following circular seating arrangement can be drawn.
Q10.A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.
Answer : Option CExplaination / Solution:
Consider the cube of side 1 unit shown below.
Now, a set of similar cubes as shown above is joint to form a cube of side 3 units, we have to determine the ratio of faces of smaller cubes visible to those which are not visible . Complete surface area of the cube of side 3 units determined as
A = 6 × (3)2
=54
Again, the area of one face of cube of side 1 unit is
A1 = (1)2 = 1
So, the total number of visible faces is
Nvisible = (A/A1)= 54
Again, total number of smaller cubes required to form the big cube is
Number of smaller cubes = volume of cube of side unit/volume of cube of side unit
= (3)3/(1)3
= 27
So, the total number of faces of smaller cubes is given as
Ntotal = 6 × (number of smaller cubes)
= 6× 27 = 162
Therefore number of invisible faces is
Ninvisible = Ntotal - Nvisible
= 162 - 54 = 108
Hence, the desired ratio is
(Nvisible /Ninvisible) = 54/108 = 1/2
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0