CAT Questions

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Given that the next word should start with the ending two letters of the previous word. From this,

The first word is

SHIVER

Now, the next word should start with ER and must contain OT in the middle.

EROTIC

Now, the next word should start with IC and must contain IC in the middle.

ICICLE

Now, the next word should start with LE and must contain NG in the middle.

LENGTH

Now, the next word should start with TH and must contain RA in the middle.

THRASH

Hence, the required five words are SHIVER, EROTIC, ICICLE, LENGTH, THRASH.

     CP : MP = 2x : 3x

 => Profit = x

( %) profit : (%) discount = 3:2

Let  CP = 2000,  SP = 300

But  3x100×200 + 2x100×300 = 100

=>  x = 8.33%

Discount 2x = 16.66% 

The famous Rock Garden which is also known as Nek Chand's Rock Garden after its founder Nek Chand, a government official who started the garden secretly in his spare time in 1957 is in the city Chandigarh.

The Rock Garden of Chandigarh is a sculpture garden in Chandigarh, India.

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

An owl.

"What noise does an owl make?

The sound an Owl makes, it sounds like, "Who?" to our ears.

They sounds entire lives asking the same question, but they'll never give any answers.

9M + 12B ----- 12 days ...........(1)
12M + 12B ------- 10 days........(2)
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B............(3)

From (1) & (3)

18B + 12B = 30B ---- 12 days

20B + 10B = 30B -----? => 12 days.

The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A.

Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B.

 Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535

CP = 100, SP (with tax) =120

New   SP = 100 - 5 = 95

 Effective discount = 120 - 95 = 25 

So, at SP of 95 ----> discount = 25

and      at SP of 3325 -----> discount = 2595×3325 = 875