List of practice Questions

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:

If PRISON is coded as RTKQML and EMPTY is coded as GWRVZ, then IMPRESS is coded as:

If ENGLAND is coded as 1234526 and FRANCE is coded as 785291, then which word is coded as 381191?

If today is Sunday, then the day on the \(126^{\text{th}}\) day from today is:

What is the angle between the hour and minute hands when the wall clock shows the time as 8:25?

A clock is at the right time at 8:00 am. The clock gains 10 minutes in 24 hours. What will be the correct time when the clock shows 1:00 pm on the following day?

In a certain code QUICK is coded as OSGAI and CROWD is coded as APMUB. What is the code for the word CRIME?

\( -\frac{5}{6},\ -\frac{1}{2},\ -\frac{1}{6},\ \frac{1}{6},\ \frac{1}{2},\ \frac{5}{6},\ \ldots \) What is the next term?

CW, EU, GS, KO, MM, QI, ____

Elephant, Camel, Horse, Bison, Donkey, Bear

Triangle, Pentagon, Hexagon, Septagon, Nonagon, Hendecagon

Aizawl, Bhopal, Chennai, Dispur, Hyderabad, Imphal, Chandigarh