List of top Quantitative Ability and Data Interpretation Questions on Surds and Indices

Arrange the following in descending order.
(A) \(\sqrt{3} - \sqrt{2}\)
(B) \(\sqrt{4} - \sqrt{3}\)
(C) \(\sqrt{5} - \sqrt{4}\)
(D) \(\sqrt{2} - 1\)
Choose the correct answer from the options given below:
Arrange the following in descending order
(A) \(3^{3^{33}}\)
(B) \(3^{(33)^3}\)
(C) \((3^3)^{33}\)
(D) \(3^{333}\)
Choose the correct answer from the options given below :
Match List-l with List-ll

List I

List II

A.\(\sqrt{\frac{0.81\times0.484}{0.064\times6.25}}\)I.0.024
B.\(\sqrt{\frac{0.204\times42}{0.07\times3.4}}\)II.0.99
C.\(\sqrt{\frac{0.081\times0.324\times4.624}{1.5625\times0.0289\times72.9\times64}}\)III.50
D.\(\sqrt{\frac{9.5\times0.085}{0.0017\times0.19}}\)IV.6

Choose the correct answer from the options given below:
Arrange the following in increasing order:
1. 4√3
2. 3√2
3. 6√5
4. 6√7
Choose the correct answer from the options given below:
Arrange the following surds in increasing order.
  1. \(\sqrt [3]{2}\)
  2. \(\sqrt 3\)
  3. \(\sqrt [4]{5}\)
  4. \(\sqrt [6]{7}\)
Given below are two statements
Statement I: In the sequence of numbers 30, 90, 182, 306, 462, P...... the term P is 650.
Statement II: There are 8 digits in 98 when it is expressed in decimal form.
In light of the above statements, choose the correct answer from the options given below
If \(\sqrt[3]{7^a\times35^{b+1}\times20^{c+2}} \) is a whole number then which one of the statements below is consistent with it?
Find the value of the expression: \(10+10^3+10^6+10^9\)
David has an interesting habit of spending money. He spends exactly £X on the Xth day of a month. For example, he spends exactly £5 on the 5th of any month. On a few days in a year, David noticed that his cumulative spending during the last 'four consecutive days' can be expressed as 2N where N is a natural number.r What can be the possible value(s) of N?
The statement provide data that may help answer the respective question. Read the question and the statement and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the question. Accordingly, choose the appropriate option given below the question.
Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?
Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.
Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.
If \(N=(11^{\,p+7})(7^{\,q-2})(5^{\,r+1})(3^{\,s})\) is a perfect cube, where \(p,q,r,s\) are positive integers, then the smallest value of \(p+q+r+s\) is:
Consider the set of numbers $\{1,\,3,\,3^{2},\,3^{3},\,\ldots,\,3^{100}\}$. The ratio of the last number and the sum of the remaining numbers is closest to:
If \(x = 3 + 2\sqrt{2}\), find the value of \(x^2 + \dfrac{1}{x^2}\).
If \(x = (9 + 4\sqrt{5})^{48} = [x] + f\), where \([x]\) is the integral part of \(x\) and \(f\) is a fraction, then \(x(1-f)\) equals: