List of practice Questions

The descending order of \[ a=\frac12,\quad b=\frac29,\quad c=\frac7{12},\quad d=\frac8{15},\quad e=\frac{11}{16} \] is:

In a school there are 72 students. The ratio of girls to boys is \(6:3\). Miss X is a girl who is in the \(14^{\text{th}}\) position from the top when ranked as per their marks. If there are 9 girls before her, then the number of boys behind her (i.e., who got lesser ranks than Miss X) is:

A trader marks an article \(25\%\) above its cost price and sells it by giving a discount of \(15\%\). If its selling price is ₹9350, then its cost price, in rupees, is:

If \(38\%\) of \((A+B)\) is equal to \(68\%\) of \((A-B)\) and if \(x\%\) of \(B\) is \(A\), then \(x=\ ?\)

A trader mixes 50 kgs of grains which costs ₹20 per kg with 50 kgs of the same grain which costs ₹25 per kg and spends ₹900 on transport. He sells the mixture at ₹27 per kg. Find his gain or loss percent.

If \[ \frac{7}{\sqrt3+\sqrt{10}} + \frac{8}{\sqrt3+\sqrt7} + \frac{9}{\sqrt7+\sqrt{10}} = p\sqrt3+q\sqrt7+r\sqrt{10}, \] then \(p^2+q^2+r^{-2}\) equals:

If the number \(7x342y\) is divisible by \(88\), then \((x,y)=\ ?\)

The number of divisors of \(44100\) which are perfect squares is:

If \(N\) is the largest integer that will divide \(1305\), \(4665\), and \(6905\) leaving the same remainder, then the sum of all prime numbers that divide \(N\) is:

The least number of square tiles required to cover the floor of a room with dimensions \(24\) meters \(78\) cm \(\times\) \(27\) meters \(26\) cm is:

The sum of a rational number \(x\) and its reciprocal is \(\frac{113}{56}\). If \(x=\frac{m}{n}\), where \(\gcd(m,n)=1\), then \(m^2+n^2=\ ?\)

If \(a*b=a^2+b^2+ab\), then \[ (1*1)*(1*1)*(1*1)=? \]

\[ \frac{\left(a^{\frac12}b^{-\frac16}\right)^3- \left(a^{\frac16}b^{\frac13}\right)^3} {a^{\frac12}-b^{\frac12}} = ? \]

\[ 64^{\frac13} - 81^{\frac14} + 625^{\frac14} = ? \]

If \(x:y=4:5\), then \((5x+4y):(10x-2y)=\ ?\)

The ratio of milk and water in a can of 36 liters is \(3:1\). If 6 more liters of water is added, then the ratio of the milk and water will be:

If \[ \sqrt{12+4\sqrt5} + \sqrt{16-4\sqrt7} = \sqrt{x}+\sqrt{y}, \] then find the value of \[ \sqrt{35xy}. \]

Blood relations in a group of persons are defined by the symbols \(+\), \(-\), and \(\times\) as explained below: \[ P+Q \Rightarrow P \text{ is the husband of } Q \] \[ P-Q \Rightarrow P \text{ is the sister of } Q \] \[ P\times Q \Rightarrow P \text{ is the son of } Q \] Which of the following represents the relation: A is the daughter of B?

A person P reached the venue for an interview at 10:10 am and was late by 20 minutes than another person Q who came 30 minutes earlier than the scheduled time for the interview. At what time was the interview scheduled?

The schedule of visits of three specialist doctors A, B, and C in a week at a corporate hospital is given below: \[ A:\text{ Monday to Saturday }(6:00\text{ am to }10:00\text{ am}) \] \[ B:\text{ Tuesday and Friday }(8:00\text{ am to }9:00\text{ am}) \] \[ C:\text{ Wednesday and Friday }(8:00\text{ am to }11:00\text{ am}) \] What is the day and time when all three doctors are available?

Five persons A, B, C, D, and E sit in a row facing the camera for a photograph. Determine the order from left to right. Conditions:
• D is neither a neighbor of A nor of E.
• B sits at one end and third to the right of E.
• E is not at the center.

If the symbols \(\alpha, \beta, \gamma,\) and \(\delta\) stand for ordinary arithmetical signs \(+\), \(-\), \(\times\), and \(\div\) respectively, then: \[ \frac{(48 \delta 4) \beta (8 \alpha 4)} {(4 \gamma 8) \beta (2 \gamma 16)+1} = ? \]

If \(a*b=\sqrt{ab}+\frac{1}{\sqrt{ab}}\) and \(a\odot b=\sqrt{ab}-\frac{1}{\sqrt{ab}}\), then find the value of \[ \frac{(4*5)+(4\odot5)} {(4*5)-(4\odot5)} \]

If PURCHASE is coded as 73429186 and ORDER is coded as 54064, then which word is coded as 7452660?

If ORANGE is coded as LOXKDB, then GRAPES is coded as: