CMAT 2018 Slot 1

125 small cubes have been together, so we have a 5x5x5 cube.

So,if we want to cover it completely we've need to cover all the sides of it completely, we will just put same cubes over the one of the sides of it and then from both the sides we've to spread it just by one row and so it will cover it properly, and do it for all the other sides.

So, now we will have a 7x7x7 cube.

Thus, number of cubes required to cover it = $$(7\times7\times7)-(5\times5\times5)=218$$

=> Ans - (D)

In short, to cover it completely, cubes required = $$(n+2)^3-(n)^3$$

and to make it hollow, cubes removed = $$(n)^3-(n-2)^3$$

Hitesh gets more marks than Jaikee and Kailash, : H > J, K

Ishan gets more marks than Kailash and Jaikee gets less marks than Ganesh, : I > K and G > J

From above statements, we can conclude that one of either Jaikee or Kailash could be the lowest.

=> Ans - (D)

Given, All cubes are round in shape

From the above statement, it can be inferred that

If a figure is round implies it may or may not be cube because there will be other figures which are round.

If the figure is not cube implies it may or may not be round.

If the figure is not round in shape implies it should not be cube.

If the figure is cube implies it should be round.

Hence, AC and BD will be logically consistent statements with the main statement.

Let us verify the options.

Option (A):

p ÷ q, means p is mother of q.

q x r, means q is daughter of r.

The above two statements together tells us that, p is the wife of r. Hence wife and husband relationship exits between p and r.

Therefore option (A) is the answer.

Option (B):

p - q, means p is the brother of q.

q x r, means q is daughter of r.

The above two statements together doesn't tell us that p and r are related as wife and husband.

Hence, Option (B) is not the answer.

Option (C):

p + q, means p is the sister of q.

q x r, means q is daughter of r.

The above two statements together doesn't tell us that p and r are related as wife and husband.

Hence, Option (C) is not the answer.

Option (D):

p + q, means p is the sister of q.

q - r, ,means q is the brother of r.

The above two statements together doesn't tell us that p and r are related as wife and husband.

Hence, Option (D) is not the answer

If we add the numbers denoted by each alphabet, when we number them as A=1, B=2, C=3.....Z=26

FRIGHTENS : $$6+18+9+7+8+20+5+14+19=106$$

SIMILARLY : $$19+9+13+9+12+1+18+12+25=118$$

DEMONITISATION : $$4+5+13+15+14+9+20+9+19+1+20+9+15+14=167$$

=> Ans - (C)

Wallet C has as many items to its left as to its right, => Wallet C is in middle.

No packet is at any extreme end of the row, => A and B are at ends.

Packet P is to the immediate right of wallet A, => A is at extreme left end.

Packet P is kept to the immediate left of packet R.

Thus, B is at extreme right end.

$$\therefore$$ Packet R is third from left end.

=> Ans - (C)

We need to find the lightest fruit, so we will take the weight scale only.

Cherry is heavier then Black berry and Black berry is heavier then Peach, : C > BB > P

Apple is heavier than Banana, : A > B

Banana is heavier than Black berry, : B > BB

Combining above statements, we get : A > B > BB > P and C > P

Thus, we can conclude that Peach is the lightest.

=> Ans - (A)

Number of 7 in the given series that are followed by an even number but are not preceded by a prime number

= (not a prime number) (7) (even number)

2 3 7 4 3 2 1 5 7 3 2 7 1 0 9 8 7 5 4 7 2 3

Thus, there is only one such 7.

=> Ans - (A)

Each of the three kids gets at least one color box out of 6 color boxes, at least one tiffin box out of 6 tiffin box and at least one chocolate box out of 6 chocolate boxes so that the total number of the items that each of them gets is the same. No one gets the same number of tiffin boxes, color boxes and chocolate boxes.

It is given that the total number of the items that each of them gets is the same.

Total number of items=6+6+6=18

So each one will get 18/3=6 items.

If no one gets the same number of tiffin boxes, color boxes and chocolate boxes

Then the number of items with each must be 1,2,3. 

tiffin boxes     color boxes     chocolate boxes.

      1                     2                         3

      2                     3                         1 

      3                     1                         2.

Only option D is correct.

No lady is either a teacher or an engineer. No two ladies have the same profession.

=> The three females will be doctor, architect and travel agent each.

C is a travel agent and is married to A, who is a teacher, => A is male and C is female.

F, the engineer, is married to D, => F is male (because no females are engineer) and thus D is female.

D is neither a travel agent nor a doctor, => D is architect.

B is the sister of G who is an architect, => B the last remaining female is doctor, and thus G and E are the remaining males.

Thus, E is a travel agent.

=> Ans - (B)