2015/2016 UNILORIN General Paper Post-UTME 2

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Which of the countries has withdrawn her membership of the ECOWAS?

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Which of the following is a major threat to OPEC?

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The AU’s right to intervene in a member country in crisis portrays it as

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The permanent membership of the UN Security Council is

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The right of all eligible citizens to vote and be voted for is referred to as

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Democracy is a system of government that is

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Collective ownership of property is associated with

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The committee that scrutinizes budget proposals in the legislature is by the

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The immediate cause of the 1966 military coup d’etat in Nigeria was

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The immediate cause of the 1966 military coup d’etat in Nigeria was

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The participation of Nigerians in the Second World War created in the nationalist the awareness that the

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Prior to 1976, the local government system practiced in northern Nigeria was

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Thirty boys and x girls sat for a test, the mean of the boys’ scores and that of the girls were respectively 6 and 8, find x, if the total score was 468

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The Inspector-General of Police is appointed by the executive on the advice of the

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A major problem associated with the Nigerian Federalism is

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The six African members of the Nigerian Council were nominated by the

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In the Second Republic, the total membership of each House of Assembly was determined by the

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Privatization and commercialization programmes in Nigeria have

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The fear of domination in the public service led to the

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The mean age of a group of students is 20 years. When the age of a teacher 50 years old is added to the age of the students, the mean of their ages becomes 22 years. Find the number of students in the group

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In how many ways can 6 coloured chalks be arranged on a bench?

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Find the mean deviation of 1,2,3,4

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How many possible ways are there of seating 6 people A, B, C, D, E  and F in a circular table

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Find the value of t if the standard deviation of 2t, 3t, 4t 5t, and 6t is 2?

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(i) Rectangular bars of equal width with equal class size.

(ii) The height of each rectangular bar is proportional to the frequency of the corresponding class interval

(iii) Rectangular bars have common sides with no gaps in between.

A histogram is described completely by

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Find the number n, such that thrice its square is equal to twelve times the number

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Find correct to two decimal places

$100 +\frac{1}{100}+ \frac{3}{1000}+\frac{27}{10000}$

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A sum of money was invested at 8% per annum interest, after 4 years, the money amounts to N330.00, find the amount originally invested

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2x + 3y = 1 and x 2y = 11, find (x + y)

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A die is thrown and a coin is tossed, find the probability that the die shows an even number and the coin shows a head

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A stone is dropped from the top of a cliff 45m high, find the time it takes to hit the ground (Take g = 10ms²)

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If two dice are tossed together, find the probability of getting a sum of at most 5 or an even sum

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If Musa scored 75 in Biology instead of 57, his average mark in four subjects would be 60. What is the total mark?

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An open cylindrical container has a base radius of 3.5cm, if the ratio of the area of its base to that of its curved surface is 1:6, the height of the container meter of the pipe is

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The ratio of the heights of two circular cylinders is 1:3 and the ratio of their base radii is 5:4. The ratio of their volumes is

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The ratio of the heights of two circular cylinders is 1:3 and the ratio of their base radii is 5:4. The ratio of their volume is

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A sector of a circle of radius 14cm which subtends an angle of 120 at the center is bent to form a cone. The base radii of the cone is

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Calculate the standard deviation of 3, 4, 5, 6,7,8,9

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Two members are picked at random from a committee of 5 men and 4 women. Find the probability that they are of the same sex

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Divide the L.C.M of 48, 64 and 80 by their H.C.F

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A container has 40 gold medals,45 silver medals, and 15 bronze medals if one medal is selected at random from the container, what is the probability that it is not silver.

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When the length of a rectangle is doubled and its width is increased by 4m, its perimeter increases from 2.2m to 48m. The original length and width of the rectangle are respectively

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The greatest value of an integer x which satisfies the inequality 2 4x > 15 is

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A reception hall is arranged such that the first row contains 10 seats and each successive row has two more seats than the preceding row. The total number of seats in the first twelve rows is

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x- 1,   x, x + 2 from a geometric sequence, then the value of x is

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sin x cot x is equal to

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If the length of the sides of a right-angled triangle are given as x-1, x, and x+1, then the hypotenuse is

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The angle of a sector of a circle of radius 4.2cm is 150. If pi=22/7, the perimeter of the sector is

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The locus of point which is equidistant from the lines y – x = 0 and y + x = 0, for x > 0, is the

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In a test conducted on the three arms of a class, class A with 30 students scored an average of 5.5 marks, class B with 25 students scored an average of 6.4 marks, and class C got an average of 6.25 marks. If the average mark for the whole class is 6.0, the number of students in class C is

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A die is thrown and a coin is tossed, find the probability that the die shows an even number and the coin shows a head

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The angle of a sector of a circle of radius 4.2cm is 50. If pi=22/7, the perimeter of the sector is

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An arc of a circle of radius 5.6cm subtends and an angle of 45 at the center of the circle. If pi=22/7, the length of the arc is

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A string of length 66cm is shaped into arc of a circle of radius 28cm. The angle of the sector is

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A sector of a circle is bounded by two radii each of length 14cm and an arc of length 12cm. The area of the sector is

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A storage tank in the shape of a cuboid of base 2.5 by 2m can hold up to 7,500 liters of water. The height of the tank is

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An open rectangular wooden box of internal depth 40cm has a base of internal dimension 50cm by 30cm. If the box is made of wood of thickness 1cm, the total volume of wood in the box is

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The agency responsible for investigating allegations of maladministration in the civil service is the

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A political entity that possesses independence is a

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Which of these is one of an electoral commission?

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Citizenship of a state by descent requires that

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Nigeria’s commitment to be the liberation of Africa could best be seen in her policy towards

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A state that is ruled by an elected citizen is

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Who has the political head of the old Oyo Empire?

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The Igbo political system was based on

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The main purpose of establishing public enterprises in Nigeria is to

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Nigeria spear-headed the formation of ECOWAS during the regime of

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The coordinates of point X and Y and Y on the line XY are X = (-2, -1) and Y = (2, 1). The equation of the perpendicular bisector of XY is

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A figure is selected randomly from a group of figures consisting of a square, a triangle, a trapezium, a pentagon, and a rhombus. The probability that the figure selected is parallelogram is

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The probability that a number selected at random from 1 to 40 is a multiple of 7 is

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A photograph is to be taken of five people including a married couple. If the married couple insists on sitting next to each other, the number of different arrangements is

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How many different three-digit numbers can be formed using the integers 1 to 6 if no integer occurs twice in a number?

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The equation of the line which passes through the point (-1, 3) and parallel to the line 2x+3y=5 is

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The rate of consumption of fuel by a car is given by the expression 3y + 4800/v, where v is the speed of the car in kmh. The speed at which the rate of the fuel consumption is least is

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The rate of ice formation in the freezer compartment of a refrigerator is (2-0.3t)g per min; where t is the time in minutes. If there was initial 10g of ice in the ice-maker, the mass present after 10 minutes is

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The perpendicular distance of the point (2, -1) from the line 3x-4y+5 = 0 is

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A number P is divisible exactly by 3 and 5 and a number Q by 3, 5 and 7. The highest common factor of P and Q is

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Evaluate (1/0.3)/(1/3. 03)   (0.5 x 0.25) correct to two decimal places

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The length of a rod was given as 35cm correct to the nearest centimeter. The actual length is within the range

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If P = {positive integers less than 20, and divisible by 3} and Q = {odd numbers from 1 to 20 inclusive}, then PᴗQ equals

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A line which makes an angle of 135 with the positive x-axis passes through the point (5, -3). The equation of the line is

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A number is selected randomly from the set of integers 1 to 20 inclusive. The probability that the number is equal to or greater than 15 is

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A number is selected at random from the set of integers 1-20 inclusive. The probability that the number is either a multiple of 3 or a multiple of 5 is

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The probability of obtaining a number less than 5 in a single toss of a fair die is

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Two perpendicular lines PQ and QR intersect at (1, -1), if the equation of PQ is x 2y + 4 = 0, find the equation of QR

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A die has four of its faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive times, the top face will be white in both cases?

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The probability of obtaining a number less than 5 in a single toss of a fair die is

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The probability of obtaining an odd number in a single toss of a fair die is

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The probability of obtaining a prime number in a single toss of a fair die is

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A number is selected at random from the set of integers  1-20 inclusive. The probability that the number is prime is

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The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor S is

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The length of a notebook 15cm was measured as 16.8cm. Calculate the percentage error to 2 significant figures

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Points X and Y are respectively by 48m north and 20m east of point Z. The distance XY is

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Points X and Y are respectively by 48m north and 20m east of point Z. If there is no stop-over at Y, and the average speed of the airplane is 500km/h, the total time taken for the plane to fly from X to Z via Y is approximately

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A worker’s present salary is N24.000 per annum. His annual increment is 10% of his basic salary. What would be his annual salary at the beginning of the third year?

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Four members of a social-first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?

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The derivative of cosec x is

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A die has four of its faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive times, the top face will be white in both cases?

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Convert 3.1415926 to 5 decimal places