Bodhee Prep-CAT Online Preparation

CAT Questions – Numbers (properties of numbers) with VIDEO Solution

QUESTION 1
Naval writes 28 consecutive numbers. If both the smallest and the largest numbers are perfect squares, which of the following is the smallest number he wrote?
  1. 9
  2. 36
  3. 100
  4. Cannot be uniquely determined
Option: 4
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 2
If \({4^a} = 5,\;{5^b} = 6,\;{6^c} = 7,\;and\;{7^d} = 8\) . What is the value of \(a \times b \times c \times d\)
  1. 1
  2. \(\cfrac{3}{2}\)
  3. 2
  4. \(\cfrac{5}{2}\)
Option: 2
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 3
Let x, y, and z be positive integers and $\frac{x}{3},\frac{y}{4},\ and\ \frac{z}{6}$ are proper fractions in the simplest form. If $\frac{x+z}{3}+\frac{y+z}{4}+\frac{z}{3}=6$ , Find the value of $x+y+z$
Answer: 10
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 4
Let $x=\frac{{{a}_{1}}}{\left| {{a}_{1}} \right|}+\frac{{{a}_{2}}}{\left| {{a}_{2}} \right|}+\frac{{{a}_{3}}}{\left| {{a}_{3}} \right|}...+\frac{{{a}_{10}}}{\left| {{a}_{10}} \right|}$ where ${{a}_{1}},{{a}_{2}},{{a}_{3}},...,{{a}_{10}}$ are real numbers. How many distinct value x can have?
Answer: 11
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 5
Find the number of two digit prime number such that both the digits of the number are also prime numbers
Answer: 4
Video Explanation
CAT 2022 Online Course @ INR 9999 only

CAT Number System Questions with Video Solutions

CAT 2023
Classroom Course

We are starting classroom course for CAT 2023 in Gurugram from the month of December.
Please fill the form to book your seat for FREE Demo Classes

CAT 2023 Classroom Course starts in Gurgaon