# CAT Model Paper 1 Questions and Answers with Detailed Explanations (Official Sample Questions-Most Important for 2022-2023) Part 1

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1. The remainder when is divided by 17 is.

(A) 5

(B) 4

(C) 1

(D) None of these

Answer: A

Solution

Thus, for every 4 number in this sequence, remainder

Since is divisible by 17, hw = ence except remaining expression is divisible by 17.

=

Hence the required remainder is 5. Option (A)

2. If Farida can travel south and West along a line segment in the following diagram, How many ways can She can from A to B?

(A) 38

(B) 34

(C) 56

(D) None of these

Answer: (A)

Solution:

(Number of ways to reach at point B from point A, when p to q path is given – (Number of ways to reach point P from A Number of ways to reach at point B from Q) )

3. ABCD is a square with length 15 cm. Pattern of shading one quarter of the square is show in the diagram. If this pattern is continued indefinitely, What is the area of shaded region?

(A) 64

(B) 90

(C) 75

(D) 56.25

Answer: C

Solution

The largest shaded square has area of whole square. The next one is half its size. Therefore quarter its area, so it is of the whole square. Thus the total shaded area, area, as a fraction of square, is

4. A GP consists of 500 terns. Sum of the terms occupying the terms occupying the even place is . Find the common ratio?

(A)

(B)

(C)

(D)

Answer: (A)

Solution:

Solve by assumption

Consider a simple GP = 2,4 with two terms

Sum of terms occupying the odd place = 2 and Sum of terms occupying the even places = 4

Thus, common ration .

Answer is option (a)