Maths and Logical Reasoning Test- 6 - CAT MCQ

[Dividing and multiplying by (4−3√3) ]

Hence, the correct option is (B).

In △ABC,O is the incentre and ∠BOC= 135^°.

Incentre of a triangle: The point of intersection of all three angle bisectors of a triangle is called its in - centre.

The distance between In - centre and its all three sides is always equal and its called inradius.

∠BOC is the incentre of △ABC.

Hence, the correct option is (C).

Given:

The selling price of the article = Rs. 280

The profit obtained = 40%

Selling price = cost price ×(100+ profit) %

Let the cost price be CP.

∴ The cost price of the article is Rs. 200.

Hence, the correct option is (B).

Given:

The product of two numbers is y/x.

One of the number is x/y²

Let the other number be M.

Then,

Therefore, the other number is y³/x².

Hence, the correct option is (A).

Given:

The Car goes with the speed (S₁) = 70 km/hr

The car comes back with the speed (S₂) = 30 km/hr

We know that, Average speed

Hence, the correct option is (A).

Given-

Principal = Rs. 4500

Amount = Rs. 6525

We know that, Interest =Amount - Principal

⇒ Interest =6525−4500

=2025

According to Condition,

∴ The rate of interest is 9%.

Hence, the correct option is (B).

All except 55 - 62 have difference of nine between them.

(A) 55 – 62 = difference is 7

(B) 34 – 43 = difference is 9

(C) 62 –71 = difference is 9

(C) 83 – 92 = difference is 9

Hence, the correct option is (A).

The logic follows here is :-

From the first row :

From second row :

From Third row :

So, that Third column third row is "289".

Hence, the correct option is (C).

The pattern followed here is:

All follow the same pattern except “GIMT”.

Hence, the correct option is (C).

Given

[∵ sin (90⁰ - ?) = cos ? and cos (90⁰ - ?) = sin ? ]

= 1/1 = 1 [∵ sin²? + cos²? = 1]

Given:

Two numbers are respectively 20% and 50% of a third number.

Let the third number be x.

According to the question; First number

∴ The correct answer is 40%.

Hence, the correct option is (D).

The pattern/logic followed here is:

11 $ 11 = 99 → (11 × 11) - (11 + 11) = 121 - 22 = 99;

45 $ 15 = 615 → (45 × 15) - (45 + 15) = 675 - 60 = 615;

44 $ 12 = 472 → (44 × 12) - (44 + 12) = 528 - 56 = 472;

Similarly,

32 $ 11 = ? → (32 × 11) - (32 + 11) = 352 - 43 = 309

Hence, the correct option is (D).

Let us draw a triangle ABC,

tan A = 1/√3

Where, BC=1 and AB = √3

In △ABC,

Hence, the correct option is (A).

Let the HCF of two numbers be x.

∴ LCM of two numbers be 90x.

According to the question,

∴ HCF of two numbers =16

and LCM of two numbers =90×16

= 1440

We know that, LCM ×HCF= Product of two numbers

⇒ 1440 x 16 = 160 x second number

Hence, the correct option is (C).

The pattern followed here is:

So,

Hence, the correct option is (A).