Q. 1: How many different sequences of scans are allowed for any given person’s original scan?

A) 7

B) 5

C) 8

D) 13

How many different sequences of scans are allowed for any given person’s original scan?

How many different sequences of scans are allowed if the original scan sequence is LRLTIM?

A) 8

B) 11

C) 13

D) 14

Question 1:- Correct Answer:- 11

Explanation:- Since the order of exactly one out of the five scans can’t be changed, either all the scans are in the correct order or one pair of scans can be varied, i.e. their positions can be interchanged.

Case (1): when all the scans are in the correct order = 1 way Case (2): when exactly two are interchanged:

We can choose any two of the five scans that can be interchanged in 5C2 ways, viz. 10 Both case (1) and case (2) together = 11. Ans: (11)

Question 2:-

(2) Interchange of TI = 1 way (TI) + (RL) = 1 way

→ 2 way

(3) Interchange of IM = 1 way (IM) + (RL) = 1 way

→2 way

(4) Interchange of MR = 1 way (MR) + (TI) = 1 way

→2 way

(5) Interchange of RL = 1 way

Total = 1 + 2 + 2 + 2 + 1 = 8 ways.

Choice (3)

QNo:- 3 ,Correct Answer:- 15

Explanation:- Let us say original input: TIMTRL. Case (1): None of them misplaced : 1

Case (2): When exactly two are misplaced. T can be misplaced →4 ways.

I can be misplaced →4 ways.

M can be misplaced →3 ways.

T can be misplaced →2 ways.

R can be misplaced →1 way.

Total ways in case (2) = 4 + 4 + 3 + 2 + 1

= 14 ways.

Both case (1) and case (2) = 14 + 1 = 15 ways

QNo:- 4 ,Correct Answer:- C

Explanation:- Given LRLTIM The distinct possibilities are:

1. No shift = 1 way

2. (a) LR = 1 way

(b) LR + LT = 1 way

(c) LR + LT + IM = 1 way

(d) LR + IM = 1 way

(e) LR + IT = 1 way (Total 5 ways)

3. (a) RL = 1 way

(b) RL + TI = 1 way

(c) RL + IM = 1 way (Total 3 ways)

4. (a) LT = 1 way

(b) LT + IM = 1 way (Total 2 way)

5. TI = 1 way

6. IM = 1 way

Total ways = 1 + 5 + 3 +2 +1 + 1 = 13 ways.

Choice (3)

**Verbal Ability : | Q.01- Q.06 | Q.07- Q.12 | Q.13- Q.18 | Q.19- Q.21 | Q.22- Q.24 | Q.25- Q.29 | Q.30 – Q.34 |**

**Logical Reasoning : | Q.01- Q.04 | Q.05- Q.08 | Q.09- Q.12 | Q.13- Q.16 | Q.17- Q.20 | Q.21- Q.24 | Q.25 – Q.28 | Q.29 – Q.32 |**

**Quantitative Aptitude: | Q.01- Q.05 | Q.06- Q.10 | Q.11- Q.15 | Q.16- Q.20 | Q.21- Q.25 | Q.26- Q.30 | Q.31 – Q.34 |**

- B-19, Satyam Shopping Complex, M. G. Road, Ghatkopar (E)- 400077
- 9820257156 / 9769617665
- info@mbapindia.com

Menu

**Inspiring Education… Assuring Success!!**Ⓒ 2020 – All Rights Are Reserved

Free Content !!!

Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID

Free Content !!!

Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID