List of top Questions asked in TG ICET- 2026

Two persons X and Y started a business with investments in the ratio \(7:5\). After 3 months another person Z joined them with the respective ratio between the investments of Y and Z as \(3:4\). If the annual profit earned was Rs.20400, the difference between the X’s share and Z’s share in profit, in rupees, is
Two Pipes can separately fill a tank in 12 minutes and 24 minutes respectively. A waste pipe empties the tank at the rate of 20 liters per minute. If all of them are opened at a time the tank is filled in 24 minutes. Then the capacity of that tank in liters is
Anil spends Rs.35000 per month and saves \(12\frac{1}{2}\%\). The monthly income of Anil in rupees is
Three persons A, B and C started a partnership business by investing Rs.3 lakhs, Rs.5 lakhs and Rs.12 lakhs respectively. At the end of the year the profit of B was Rs.4 lakhs. The total profit (in lakhs of rupees) is
A person A sold an article to another person B at a profit of \(8\%\) and B sold the same article to another person C at \(12\%\) profit. The ratio of the S.P. of the two transactions is
A Television was sold at \(30\%\) profit. If it had been sold for Rs.1000 more, then the profit would have been \(40\%\). The cost of Television in rupees is
Instead of finding \(\frac{3}{15}\) of a number, a student found \(\frac{5}{13}\) of the number. His answer was 72 more than the correct answer. Find the number.
If \[ 10.\overline{36}=\frac{p}{q}, \qquad \gcd(p,q)=1 \] then \(p+q=\)
If \[ x=\sqrt{5+\sqrt{5+\sqrt{5+\cdots}}} \] then which one of the following is true?
Ascending order of \[ a=7^{\frac23},\; b=125^{\frac12},\; c=135^{\frac12},\; d=59^{\frac13} \] is
Two numbers are \(20\%\) and \(30\%\) less than a third number. What percentage of second number is first number?
The sum of the cubes of any three consecutive natural numbers is divisible by
The sum of two numbers is 528 and their HCF is 33. The number of pairs of such numbers that can be formed is
The difference between the greatest number of 4 digits and the least number of 5 digits that have 144 as their HCF is
The sum of all possible values of \(x\) so that the 9 digit number \(384x579x\) is divisible by \(6\) is
If \[ x=5+\sqrt{24} \] then \[ \sqrt{x}-\frac{1}{\sqrt{x}}= \]
Evaluate: \[ \frac{5}{\sqrt[3]{16}-\sqrt[3]{4}+1}-\frac{3}{\sqrt[3]{16}+\sqrt[3]{4}+1} \]
The ratio of the prices of two bicycles A and B was \(2:3\). Two years later if the price of A is increased by \(15\%\) and that of cycle B by Rs.475, the ratio of the prices becomes \(3:5\). Then the original price of bicycle A (in Rs.) is
An amount of Rs.1540 is to be distributed among three persons A, B and C such that A is to be given \(\frac{2}{9}\) of the amount B and C together get and B is to be given \(\frac{3}{11}\) of the amount A and C together get. Then C’s share in the total amount (in Rs.) is
If \[ a^x=b^{\frac{1}{y}}=c^{\frac{3}{z}} \] and \[ b^3=ac^2 \] then \(9xy-2zx=\)
If \[ 2^a=4^b=8^c \] and \[ abc=288, \] then \[ \frac{1}{2a}+\frac{1}{4b}+\frac{1}{8c}= \]
If \(+\) denotes multiplication, \(-\) denotes addition, \(\times\) denotes division and \(\div\) denotes subtraction, then the value of \[ 18 + 25 - 32 \times 16 \div 12 \] is
In a metro railway station B, a board says that there is a train to Station A for every 28 minutes. On my arrival an announcement at station B says the next train to station A will arrive in 12 minutes and the previous train left station B at 8.21 am. Then the time of my arrival at station B is
For two real numbers \(a,b\) define \[ a \perp b = a+b+ab,\quad a \square b = a^2+b^2,\quad a \odot b = 3a+2b \] then \[ [(7 \square 5)\odot 6]\perp 8= \]
If * represents addition, \(\square\) represents subtraction, \(\odot\) represents multiplication and \(\rightarrow\) represents division then \(80 \;4 \rightarrow 12 * 5 \square 3 * 6 \rightarrow 4 =\)