2013 LASU Science, Engineering & Medicine Post-UTME

If the mean and median of the distribution 170, 230, x, 215 and 235 are (210, y), find the values of x and y respectively.

$\text{Evaluate }\frac{12{\mathrm{C}}_9}{5!}$

The bar graph above shows the scores of students in a physics test. Find the percentage of the students that passed if 8 was the pass mark.

Two fair dice are thrown once. Find the probability that the sum of the numbers obtained is an even number greater than 4.

In the table above, what is the mid-value of the class containing the best score?

Find the mean deviation of 5, 6, 7, 4 and 8.

A number is picked at random from integers 1 to 30. Find the probability that it is a prime number.

Given that the standard deviation of a set of data is 7.4, what is the variance of the data?

Find the number of ways 5 girls can sit on a bench.

Find the mean of 3.15, 4.25, 1.72, 6.0, 5.13, 2.77 and 6.24.

Evaluate ${\int }_{ 0}^{1}3{\text{x}}^{2}d\text{x}$

The gradient of the curve y=3x² – 5x + 6 when x=1 is

Find the limit of $\frac{{\mathrm{x}}^2 – \mathrm{x}}{\mathrm{x}} \text{as x → 0}$

The turning point of the curve y = 5 – 2x – x² occurs at

If y = (x² + 2x + 4) (x – 2) find $\frac{\mathrm{dy}}{\mathrm{dx}}$

Find the value of x if ${103}_{\mathrm{x}} = {19}_{10}$

Two sets L and M are given such that n(L U M) = 40, n(L) = 21 and n(M) = 29. Find n (L n M).

Simplify

$\frac{\log 16 + \log 8}{\log 16 – \log 8}$

The sides of a rectangle are (3 – √5)cm and (3 + √5)cm. Express the length of the diagonal as a surd.

Subtract 11111₂ from 100001₂

Given the universal set U and two subsets P and Q. Where U = {1, 2, 3, 4, 5, 6 ,7, 8, 9, 10, 11, 12} P = {x: x < 12} and Q = {x: x is an even number}. Find P n Q.

Evaluate

$\frac{2.8 \mathrm{x} 0.036}{0.9 \mathrm{x} 0.7}$

Solve the equation

${\text{2}}^{{\mathrm{x}}^2}\text{ = }\frac{8^{\mathrm{x}}}{4}$

Sule bought 30 eggs for N450.00 and sold each egg for N12.00. What is his percentage loss?

Short-sightedness can be corrected by the use of a

In meiosis, the separation of daughter chromatids occur at

The anti-diuretic hormone is secreted by the

The excretory structure of flat worms is the

In a dicot stem, the strengthening cells are the

The calyx in a flower serves for

Weeds can be effectively controlled by the use of

Deamination in the liver involves the

The two most critical factors required for the growth of plants are the

Diffusion of oxygen in the mammalian lungs is enhanced by the

An element that forms a major structural component of chlorophyll is

Ectopic pregnancy may result from

The basic unit of nucleic acids is

What is the number of recognizable groups in the ABO blood system?

Genetic traits that are concerned primarily with forms and structures are said to be

In humans, the male is heterogamous because of the presence of

Observable diversity among living organisms is referred to as

A pure-breed black rabbit is crossed with a pure-breed white rabbit and all the F1 offspring have black hair. The F1 offspring are

The possible blood groups of offspring that can be produced from a man in blood group O and a woman in blood group AB are

The beam balance is used to measure

A constant force of 6N acts for 4s on a mass of 6kg initially at rest. Calculate the final momentum.

Calculate the gravitational potential at the surface of the earth.

$$\begin{gathered} {\text{Mass of the earth = 6.0 x 10}}^{24}\text{ kg} \\ {\text{Radius of the earth = 6.4 x 10}}^6\text{ m} \\ \mathrm{G} = 6.7 \mathrm{x} {10}^{–11} {\mathrm{Nm}}^2{\mathrm{kg}}^{–2} \end{gathered}$$

The area under a force – extension graph for a stretched wire represents the

A spherical ball falling through a viscous liquid attains a terminal velocity when the

Example of second – order levers are

A machine that is 80% efficient requires a work input of 1.2kJ to raise a 64 kg block through a vertical distance Y. Determine the value of Y.${\text{[g = 10 ms}}^{–2}\text{]}$

If the limit of proportionality is not exceeded for a loaded spring, an increase in its extension results from

Calculate the elastic constant of a spring extended by 1 mm when a mass of 12 kg is hung on it.

${\text{[g = 10ms}}^{–2}\text{]}$

A 100kg mass hung on a wire caused it to extend by 1 mm. Calculate the strain energy of the wire.
${\text{[g = 10 ms}}^{–2]}$

The two most fundamental types of barometers are the

In a hydraulic brake system, the pressure transmitted to the disc according to Pascal’s principle is

A loaded hydrometer of uniform cross- sectional area of 4cm² has a mass of 10g. At what depth will it float in the water?

${\text{[Density of water = 1 gcm}}^{–3}\text{]}$

The thermometer that will be most useful in weather forecast is

For a fixed mass of gas at constant temperature, Boyle’s law explains that

Calculate the amount of heat required to convert 10 kg of steam at 100° C to water at 40° C.

$$\begin{gathered} {\text{[Steam = 2.268 x 106 Jkg}}^{–1} \\ \mathrm{Specific} \mathrm{heat} \mathrm{capacity} \mathrm{of} \mathrm{water} = 4200 {\mathrm{Jkg}}^{–1}{\mathrm{K}}^{–1}] \end{gathered}$$

When the saturated vapour pressure of a liquid is equal to the atmospheric pressure, the liquid will

A steel needle floats on a clean water surface owing to

Too much sewage in a water body causes

$$\begin{gathered} {\text{20 cm}}^3{\text{ of tetraoxosulphate (VI) acid was neutralized by 2.5 cm}}^3{\text{ of 0.1 mol dm}}^{–3} \\ \mathrm{sodium} \mathrm{hydroxide} \mathrm{solution}. \mathrm{What} \mathrm{is} \mathrm{the} \mathrm{concentration} \mathrm{of} \mathrm{the} \mathrm{acid}? \end{gathered}$$

The alkali used in neutralizing acidic soils is

Iron (II) Sulphide is prepared by

Calcium hydroxide is added in the treatment of town water supply to

A supersaturated solution is unstable when

An example of a deliquescent compound is

$$\begin{gathered} \text{The solubility of substance Y in 100g of water at room temperature is 25g} \\ \mathrm{What} \mathrm{is} \mathrm{the} \mathrm{solubility} \mathrm{of} \mathrm{Y} \mathrm{in} \mathrm{moles} {\mathrm{dm}}^{–3}? \\ [\mathrm{Y} = 40\mathrm{g} {\mathrm{mol}}^{–1}, \mathrm{Density} \mathrm{of} \mathrm{water} = 1 {\mathrm{gcm}}^{–3}] \end{gathered}$$

The lightest gas in the universe is

Aqueous solution of oxides of non-metals will be

The slag formed during the extraction of iron from its ore is

Ammonium tetraoxosulphate (VI) is widely used as a fertilizer because it provides

In the electrolytic extraction of aluminium, the component that is continuously replaced is the

The laboratory preparation of hydrochloric acid involves

The essence of roasting ore is to

Which of the following sulphides is soluble in water and will not precipitate out from acidified solution?

Trioxocarbonate (IV) ions are detected when they react with dilute acids by the evolution of

Stainless steel is composed of

When a mixture of limestone and clay is heated, the product formed is

The element that has the highest electronegativity value is

The radioactive particle that can be stopped by aluminium foil is the

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

The drug prescribed for you is both therapeutic and prophylactic

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

Ahmed asserted that the differences between men and women were purely biological

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

His activities were considered legendary in ancient history.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

Unlike Musa, Yakubu prefers reading the dailies

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

The boy’s accusations are vague.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

His speech can be aptly described as vivacious.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics

The guards, always drowsy at their posts.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

I had always thought he was a vain wise man.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

Some of the dancers were very graceful.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

There is clear evidence of indiscriminate use of firearms.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

It was discovered that the iron rod was in a shallow hole.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

The man spoke in a disjointed manner during the ceremony.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

The movement is still in its embryonic stage.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

The decision not to attend the meeting was unilateral.

In each of the questions 82 to 100, choose the option opposite in meaning to the word or phrase in italics.

This is a sanctified land and we may not tread on it.

In each of the questions 98 to 100, choose the option that best completes the gap.

The threat of war ______

In each of the questions 98 to 100, choose the option that best completes the gap.

A lion roars, but a turkey _____

In each of the questions 98 to 100, choose the option that best completes the gap.

If you do not pay your rent, I will _____ you.