# CAT 2020 Question Paper Slot 3 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2020 Question Paper

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1. #### CAT 2020 Question Paper Slot 3 - Exponents & Powers

If x1 = -1 and xm = xm + 1 + (m + 1) for every positive integer m, then x100 equals

1. -5050
2. -5051
3. -5150
4. -5151

2. #### CAT 2020 Question Paper Slot 3 - Number Theory

Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?

1. 3
2. 0
3. 14.0625
4. 15.9375

10. #### CAT 2020 Question Paper Slot 3 - Logarithms

$$frac{2×4×8×16}{$log_{2}4$^{2}(log_{4}8)^{3}(log_{8}16)^{4}}) equals

1. 15
2. 13
3. 14
4. 12

26. #### CAT 2020 Question Paper Slot 3 - Digits

How many pairs (a,b) of positive integers are there such that a ≤ b and ab = 42017?

1. 2019
2. 2018
3. 2020
4. 2017

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