CAT Practice Test: Week 8 - CAT MCQ

Let us assume that the cost price = Rs X

56 - x = x - 42

2x = 98

Hence, x = 49

So, he should sell 16 oranges in a rupee to make a profit of 25%.

CP of 1 book = Rs 15 SP of 1 book in order to gain 25% profit = Rs 18.75

B
(error÷1000-error)×100=1
0
(X/1000-x)×100= 100
100x = 100×(1000-x)

100x = 100000-100x

200x = 100000

X = 100000/200

X = 500

so error is 500 then N= 1000-500=500

There are 5 × 5 = 25 cubes on one face.
Now, there will be an edge comprising 5 cubes which shall be common to both the faces coloured green.
Thus, the number of cubes with at least one face green = (25 × 2) - 5 = 50 - 5 = 45.
Thus, answer option 4 is correct.

The diagrammatic representation of the same is as shown.

On the face, as shown in the figure, there are 9 cubes marked W1 with only one face coloured white. Similarly, there will be 9 cubes with only one face, each coloured white.
Now, on the edge common to both the faces coloured white, there shall be 3 cubes with two faces each coloured white as represented by W2.
Thus, total number of cubes = 9 × 2 + 3 = 18 + 3 = 21.
Hence, answer option 3 is correct.

The diagrammatic representation of an orange face is as shown, with the adjacent faces marked as shown.

The face with a face coloured orange with small cubes marked as O1 will be the small cubes with only one face coloured orange.
There are 9 such cubes. There shall be 9 such cubes on the adjacent face as well.
Thus, there shall be 18 cubes like this in all.
Hence, answer option 3 is correct.

Clearly, upon colouring the cube as stated and then cutting it into 125 smaller cubes of equal sizes, we get a stack of cubes as shown in the figure.

The figure can be analysed by assuming the stack to be composed of 5 horizontal layers.
There are 4 corner cubes in layer 1, and 4 corner cubes in layer 5, having three green faces each.
Thus, there are 8 such cubes.

There are 9 central cubes in each of the layers 2, 3 and 4, which are without any colour.

Thus, there are 9 × 3 = 27 such cubes.

The dot will lie opposite to one of the shaded surfaces.
Therefore, figure (2) cannot be formed.

Number 3 appears in the same position both times.
The pattern of numbers is as given below.
From first orientation, write the numbers in clockwise direction.
3 - 5 - 2
From second orientation, write the numbers in clockwise direction.
3 - 1 - 6
Hence, 2 is opposite to number 6 and 5 is opposite to number 1.

Opposite faces cannot come adjacent to each other.
Hence, answer figure (b) can be created by folding the given figure.

Four characters will be adjacent to each character.
As shown, *, ?, # and $ are adjacent to character +.
So, the only character that will be opposite to '+' is '@'.

As per figure (A), we get that @ is opposite to *, % is opposite to # and $ is opposite to =. The characters which are in the adjacent faces cannot be opposite to each other.
From this, it is clear that only figure (c) is possible.
So, option (3) is the correct answer.

The record for the biggest tiger hunt has not been broken since 1911 when Lord Hardinge, then Viceroy of India, shot a tiger that measured 11 feet and 6 inches.

► a few (Det.): a small number of things; some.
► few (Det., Adj.): not many
► Here, "lend me a few rupees" is the right usage.

A "knot" is something that you tie,
so to open it would be "untie".

If he has time he will call you.

► Correct Formation: When it was feared that the serfs might go too far and gain their freedom from serfdom, the protestant leaders joined the princes in crushing them.
► This is because when people have interest, opinion, feeling or belief then we use "in".

Had the room been brighter I would have been able to read for a while before bed time.

His desire for power brought about his downfall.

He sent word to me that he would be coming late.

• John tells me that he hasn’t done it yet.
• In Indirect Speech → if Reporting Speech → Present Tense
• Then, Reporting Verb (tell) will also be in Present Tense (tells).

Hence, tells is the right usage.

The workers are hell bent upon getting what is due to them.