Instructions

Answer the questions based on the following information. The following operations are defined for real numbers.

a # b=a + b, if a and b both are positive else a # b=1

a $$\triangledown$$ b=$$(a \times b)^{a+b}$$ if $$a\times\ b$$ is positive else a $$\triangledown$$b=1.

Question 48

$$\frac{((1\#1) \# 2) - (10^{1.3} \triangledown \log_{10}{0.1})}{1 \triangledown 2}$$

Solution

$$((1\#1) \# 2) = 2 \# 2 = 4$$

$$\log_{10} 0.1$$ = $$\log_{10} 10^{-1}$$ = -1

As $$(10^{1.3} \times -1)$$ is not positive, $$(10^{1.3} \triangledown \log_{10}{0.1})$$ = 1

$$1 \triangledown 2$$ = $$(1x2)^{(1+2)}$$ = $$2^3$$ = 8

Hence, the fraction is (4-1)/8 = 3/8

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Quadratic Equations Questions CAT Inequalities Questions CAT Averages Questions CAT Linear Equations Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT Table with Missing values Questions CAT Selection With Condition Questions CAT Charts Questions CAT Routes And Networks Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension Questions CAT Verbal Ability Questions CAT Critical Reasoning Questions CAT Odd One Out Questions CAT Vocabulary Questions

CAT 1998 QA Question

$$\frac{((1\#1) \# 2) - (10^{1.3} \triangledown \log_{10}{0.1})}{1 \triangledown 2}$$

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account