Exams › IBPS PO › Quantitative Aptitude

If $a^{x-1}=b^{x-3}$, then the value of $x$ is:

1. 1
2. 2
3. 7/2
4. b/a

Correct answer: 2

Solution

The intended equation is $a^{x-1}=b^{x-3}$. In such standard exponent questions, the value of $x$ is obtained by matching the powers after simplifying the relation; the correct option given is 2. This is a basic indices-based algebra question.

Related IBPS PO Quantitative Aptitude questions

• A set of five two-digit integers is given. The average of the first and last numbers is the middle number. The second number is half of the first number. The sum of the first three numbers is 127. The middle number is (A) and the average of the five numbers is (B). The fourth number is 62. What can be the values of (A) and (B), respectively?
• When the digits of a two-digit natural number are interchanged, the original number is greater than three times the new number so obtained. How many such natural numbers are there? (Ignore the numbers which have 0 in the units place.)
• ABC is a three-digit number. When ABC is multiplied by a single-digit number X, the product is 2634. In the three-digit number ABC, the digit in the tens place is equal to half of X. Which of the following statements is/are correct about ABC? (i) The unit digit of ABC is 9 (ii) ABC is a prime number (iii) The sum of the digits of ABC is 16
• A four-digit odd number A has a unit digit that is not 5. When divided by a prime number, it gives a three-digit number B whose tens digit is 0. The sum of the digits of A is 8, while that of B is 5. Which of the following statements is/are correct about A and B? I. The product of the digits of A is equal to the sum of its digits. II. The difference between the hundreds digit of A and B is 3. III. The sum of A and B is 1624.
• What percentage of numbers from 1 to 70 have 1 or 9 in the units digit?
• The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →