IOE Entrance Model Question 2080
Institute of Engineering confirmed that IOE Exam 2080 will be start from 25th of Bhandra, 2080. IOE also provide Syllabus and model question to prepare for upcoming IOE Entrance Exam.
Check: IOE Entrance Syllabus 2080
IOE just provide sample model question as provided below:
Section A
1. The value of K for which one root of the equation `3x^2 + 7x + 6 - k = 0` is equal to zero is
a) `- \frac{7}{3}`
b) 0
c) `-\frac{7}{3}`
d) 6
2. The derivative of `sech^-1`x is valid for
a) x=0
b) x<1
c) x=1
d) x>1
3. The integrating factor of the differential equation `\frac{dy}{dx}`+`\frac{x}{1+x}`y=1+x is
a) `e^x`
b) `\frac{e^x}{1+x}`
c) `\frac{e^x}{x}`
d) `e^x`(1+x)
4. If the line x+y-1=0 touches the parabola `y^2`=kx, the the value of k is
a) 4
b) 2
c) -2
d) -4
5. Two ice blocks when pressed together join to form one block, because,
a) MP rises with pressure
b) MP falls with pressure
c) Heat is absorbed from surrounding
d) Heat is rejected to surrounding
6. If you are given three equal resistors, how many different combinations of these resistors are possible?
a) 2
b) 3
c) 4
d) 6
7. In Williamson’s synthesis haloalkane is treated with
a) ammonia
b) alcohol
c) sodium alkoxide
d) silver salt of fatty acid
8. Any p- orbital can accommodate up to
a) six electrons
b) four electrons
c) two electrons with parallel spins
d) two electrons with anti-parallel spins
9. He is one person, I count ………… in times of difficulty.
a) at
b) in
c) with
d) on
10. The word ‘procrastination’ has its stress on the ………… syllable.
a) 2nd
b) 3rd
c) 4th
d) 5th
11. Which of the following pairs have the same initial vowel sound?
a) ago, alone
b) inn, eel
c) owl, all
d) up, on
Section B
12. If a lottery ticket is drawn at random from a lottery box containing 10 prizes and 25 blanks, What is the probability of getting a prize?
a) `\frac{1}{10}`
b) `\frac{1}{25}`
c) `\frac{2}{7}`
d) `\frac{5}{7}`
12. If `\underset{a}{\rightarrow }` = `\underset{i}{\rightarrow } + 2\underset{j}{\rightarrow } + 3\underset{k}{\rightarrow }` and `\underset{b}{\rightarrow }` = `2\underset{i}{\rightarrow } + 3\underset{j}{\rightarrow } - 2\underset{k}{\rightarrow }`, then the projection of `\underset{b}{\rightarrow }` on `\underset{a}{\rightarrow }` is
a) `\frac{2}{\sqrt{17}}`
b) `\frac{2}{\sqrt{7}}`
c) `\sqrt{\frac{2}{7}}`
d) `\frac{1}{7}`
14. To what depth, below the surface of a sea should a rubber ball be taken so that its volume decreases by 1%? Bulk modulus of the rubber is 9 x `10^8 Nm^-2`.
a) 1m
b) 10m
c) 100m
d) 1km
15. The ratio of the areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is
a) 16:1
b) 8:1
c) 4:1
d) 2:1
16. 21 grams of magnesium carbonate was treated with 50ml of 12N hydrochloric acid. How many molecules of untreated hydrochloric acid remain in this reaction?
a) 6.025 * `10^23`
b) 6.025 * `10^22`
c) 6.025 * `10^21`
d) 6.025 * `10^19`
17. What weight of copper will be deposited by passing 2 Faraday of electricity through a solution of cupper salt?
a) 20g
b) 31.7g
c) 63.5g
d) 100g
18. It …… two weeks since he left the city.
a) is
b) was
c) has been
d) had been
19. Read the following passage carefully and answer the questions given below by selecting the
correct option.
- a) used for uninteresting comparisons
- b) used for unpleasant comparisons
- c) used for pleasant comparisons
- d) not used for any comparisons
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