SRCC GBO 2016 Question Paper

Let us say there are X boys, that means there are 2X girls. We know the total number of students is 60. 
So, 3X=60, giving us X=20. That means there are 40 girls and 20 boys. 
We are told that Kamal ranked 17th from the top, so 16 people ahead of him. Out of these 16, we are told that 9 are girls, meaning the remaining 7 must be boys. So, in the first 17 kids, nine girls and eight boys. The remaining boys will be behind Kamal, the number of them Is 20-8=12 boys. 

The total number of employees are the most between 12.00 pm - 2.00 pm as all three groups are simultaneously present during that timeframe.

Hence, the computers are most likely to be used during these hours.

To find the total number of handshakes, we can use the formula for combinations:

$$^nC_2$$ where n is the number of people who shake hands.

For 10 people:

$$^{10}C_2$$ = $$\dfrac{10!}{8!2!}=\ \dfrac{10\times9}{2}$$ = 45

So, there will be 45 handshakes altogether.

Hens have two legs, Goats have four, Camels have four legs, and humans have two legs. 

We are told there are 50 hens, which means 100 feet
We are told that there are 45 goats, which means 180 feet
We are told that there are 8 camels, which means 32 feet
Let's say there are X keepers, which means there are 2X feet

The total number of feet will be: 312+2X
The total number of heads will be: 103+X

We are then told that the total number of feet is 224 more than the number of heads.

224+(103+X)=312+2X
327+X=312+2X
X=15

Hence, the number of keepers in the caravan is 15. 

Let's take the original side length of the cube to be 2a

Cutting the square parallel to the red faces, would give us:

Let's say we cut the upper piece into four equal squares.

The upper piece is a cuboid with dimensions (2a, 2a, a)
To make four cubes we can cut it into equal halves along is height and length.

To cut the lower piece into 32 equal pieces, we can put 3 cuts along its length, 3 cuts along its height and breadth

All the cubes from the upper half have at least one face coloured. 
In the lower half, the cubes on the bottom, frontleft, and right would have one face coloured. 
The only cubes that will not have any face coloured would be the four cubes that form the inner portion of the upper face. 

Therefore, 4 is the correct answer. 

Let's take the original side length of the cube to be 2a

Cutting the square parallel to the red faces, would give us:

Let's say we cut the upper piece into four equal squares.

The upper piece is a cuboid with dimensions (2a, 2a, a)
To make four cubes we can cut it into equal halves along is height and length. 

To cut the lower piece into 32 equal pieces, we can put 3 cuts along its length, 3 cuts along its height and breadth

We want to see how many of these 36 cubes will not have any red faces. 
All the four pieces from the upper half of the original cube will have one red face. 

From the lower piece, of the 32 pieces, only the bottom 8 would have a red face, the other 24 would not have any red faces.

Therefore, Option D is the correct answer. 

Let's take the original side length of the cube to be 2a

Cutting the square parallel to the red faces, would give us:

Let's say we cut the upper piece into four equal squares.

The upper piece is a cuboid with dimensions (2a, 2a, a)
To make four cubes we can cut it into equal halves along is height and length.

To cut the lower piece into 32 equal pieces, we can put 3 cuts along its length, 3 cuts along its height and breadth

Only the cubes on the outer surface would have two coloured faces. 

Of the four cubes from the upper half, all four cubes will have two coloured faces. 

Of the 32 cubes, the cubes on the edges are the only ones who would have two colours, giving 16 cubes. 

Giving 20 cubes in total. 

Therefore, Option A is the correct answer.

The intersection of two circles here would be the same as being part of the bigger circle alone. 
The first question asks about female graduates who are self-employed. 

We need to count only those who are part of the triangle (graduate) and also part of any or both circles(self-employed)

Hence, the number of women matching these criteria would be 7+5+8 = 20

Therefore, Option D is the correct answer. 

The intersection of two circles here would be the same as being part of the bigger circle alone.

For this, we have to consider the women who are part of the triangle but not part of the circle; this would be only the 4 women who are part of the triangle at the very top of the figure. 

Therefore, Option A is the correct answer. 

The intersection of two circles here would be the same as being part of the bigger circle alone.

Here we have to find the number of females who are self-employed (part of the circles) but not graduates (not part of the triangle)

These females would be 1+2+6+3+9 = 21

Therefore, Option D is the correct answer.