Maths and Logical Reasoning Test- 4 - CAT MCQ

We can use algebra to solve this problem. Let's call the three numbers x, y, and z, respectively. Since the ratio of the three numbers is 2:3:4, we can set up the following equation:

x/2 = y/3 = z/4

We also know that the sum of the squares of the three numbers is 1856:

x^2 + y^2 + z^2 = 1856

We can use the first equation to substitute for x, y, and z in the second equation:

(x/2)^2 + (y/3)^2 + (z/4)^2 = 1856

Simplifying:

x^2/4 + y^2/9 + z^2/16 = 1856

We know that x:y:z is 2:3:4, so we can substitute the ratio in place of x,y,z:

(2x/8) + (3y/27) + (4z/64) = 1856

To get the number we can solve this equation using the ratio.

x = 8, y = 12 and z = 16 (Option 3)

Therefore the correct option is 2. 8, 12, 16

Given:

sin(45° + θ) – cos(45° – θ)

= sin{90° – (45° – θ)} – cos (45° – θ)

= cos (45° – θ) – cos (45° – θ) {∵sin(90 – A) = cos A }

= 0

Hence, the correct option is (B).

Here, the logic followed is:

1 × 2 = 2

2 × 3 = 6

6 × 7 = 42

42 × 43 = 1806

Hence, the correct option is (C).

The possible tree diagram will be:

So, child’s father is the ‘father’ of Sheela.

Hence, the correct option is (A).

1) A and B sitting opposite to each other.

2) C sits exactly in the middle of B and D.

3) D sits second to the right of F.

4) D and E are sitting opposite to each other.

So, F is sitting immediate left of A.

Hence, the correct option is (B).

Except, Pentagon, all other shapes have four sides. Where as, pentagon has five sides.

Hence, the correct option is (D).

(A) D + 4 = H; H + 5 = M

(B) G + 4 = K; K + 4 = O

(C) I + 4 = M; M + 4 = Q

(D) L + 4 = P; P + 4 = T

Hence, the correct option is (A).

The number of female employees working in OBC = 990 – 495 = 495

The number of female employees working in PNB = 1240 – 558 = 682

The number of total employees working in PNB = 1240

Percentage less

= 5. 08% ≈ 5%

Hence, the correct option is (C).

Male employees working in SBI = 570

Male employees working in BOI = 350

Female employees working in SBI = 950 – 570 = 380

Female employees working in BOI = 875 – 350 = 525

Ratio = 570 + 350 : 380 + 525

= 920 : 905 = 184 : 181

Hence, the correct option is (C).

Female employees working in SBI = 950 – 570 = 380

Female employees working in BOI = 875 – 350 = 525

Female employees working in BOB = 1080 – 574 = 506

Female employees working in OBC = 990 – 495 = 495

Female employees working in PNB = 1240 – 558 = 682

Average number of employees

Hence, the correct option is (D).

Total number of employees who are working in BOB = 1080

Total number of employees who are working in BOI = 1080 × 80% = 864

Percentage of male employees

Percentage of female employees = 100 – 75% = 25%

Hence, the correct option is (D).

The logic follows here is:-

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

21² = 441

Thus, Clearly 351 is the wrong number in given series as it must be 361.

Hence, the correct option is (A).

Pattern is as follows,

27 × 1.5 = 40.5

40.5 × 1.5 = 60.75

60.75 × 1.5 = 91.125

91.125 × 1.5 = 136.6875

Hence, the correct option is (B).

All plants except cactus, are aquatic plants. Whereas, cactus is found in the desert.

Hence, the correct option is (B).

Drawing the diagram according to the given information,

So, the school is in the southwest direction to the present place.

Hence, the correct option is (B).