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Past Questions Library

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10,710 questions available
Showing 4801–4850 of 10710 questions
Instruction
In questions 71 to 100, choose the word or group of words which correctly and most suitably fill the gap in each of the following sentences.
JAMB (UTME) English Language 2020
Q4801. A large number of spectators .... present at the football match
A were been
B were
C was
D have been
JAMB (UTME) English Language 2020
Q4802. Tom and his wife .... killed in an accident
A were
B was
C were been
D had been
JAMB (UTME) English Language 2020
Q4803. My mother instructed me that I must .... before breakfast
A bath
B have my bathe
C take my bath
D bath myself
JAMB (UTME) English Language 2020
Q4804. Take your umbrella because it ....
A is raining
B wanted to rain
C had rained
D was raining
JAMB (UTME) English Language 2020
Q4805. When I heard the deafening sound I .... under the bed
A hidden
B had hid
C hid
D am hiding
JAMB (UTME) English Language 2020
Q4806. Babatope wishes he .... such a man
A am being
B was
C were
D am
JAMB (UTME) English Language 2020
Q4807. Janet sat for the examination .... she had malaria
A while
B since
C though
D why
JAMB (UTME) English Language 2020
Q4808. Amina wore a man's hat .... looked very funny on her
A that
B who
C which
D whose
JAMB (UTME) English Language 2020
Q4809. When Ade came in, he sat on a chair and .... for a drink
A was asking
B asked
C will ask
D after
JAMB (UTME) English Language 2020
Q4810. Lawrence, please if you come .... my brother in town, inform him that I am in town.
A over
B across
C through
D after
JAMB (UTME) English Language 2020
Q4811. Charles quickly got a match and struck it on .... sole of my shoe
A this
B the
C a
D each
JAMB (UTME) English Language 2020
Q4812. Olu asked the secretary to know if anybody .... to see him
A wants
B wanted
C has been waiting
D is wishing
JAMB (UTME) English Language 2020
Q4813. My brother came in .... I was sleeping
A while
B despite
C and then
D despite
JAMB (UTME) English Language 2020
Q4814. .... likes to be cheated
A Not many people
B Nobody
C Few people
D No people
Instruction
JAMB Mathematics 1990
JAMB (UTME) Mathematics 1990
Q4815. Simplify $(4^{3/4} - 6^{1/4}) \div (4/5 \text{ of } 1\frac{1}{4})$
A $-7\frac{7}{8}$
B $-\frac{2}{7}$
C $-\frac{10}{21}$
D $\frac{10}{21}$
JAMB (UTME) Mathematics 1990
Q4816. The H.C.F. of $a^2bx + abx^2$ and $a^2b - b^3$ is
A $b$
B $a+b$
C $a(a+b)$
D $abx(a^2 - b^2)$
JAMB (UTME) Mathematics 1990
Q4817. Correct $241.34 \times (3 \times 10^{-3})^2$ to 4 significant figures.
A $0.0014$
B $0.0022$
C $0.00217$
D $0.002172$
JAMB (UTME) Mathematics 1990
Q4818. At what rate would a sum of $\#100.00$ deposited for 5 years yield an interest of $\#7.50$?
A $1\frac{1}{2}\%$
B $2\frac{1}{2}\%$
C $15\%$
D $25\%$
JAMB (UTME) Mathematics 1990
Q4819. Three children shared a basket of mangoes in such a way that the first child took $\frac{1}{4}$ of the mangoes and the second $\frac{3}{4}$ of the remainder. What fraction of the mangoes did the third child take?
A $\frac{3}{16}$
B $\frac{7}{16}$
C $\frac{9}{16}$
D $\frac{13}{16}$
JAMB (UTME) Mathematics 1990
Q4820. Simplify and express in standard form $\frac{0.00275 \times 0.00640}{0.025 \times 0.08}$
A $8.8 \times 10^{-1}$
B $8.8 \times 10^{-2}$
C $8.8 \times 10^{-3}$
D $8.8 \times 10^{-4}$
JAMB (UTME) Mathematics 1990
Q4821. Three brothers in a business deal share the profit at the end of a contract. The first received $\frac{1}{3}$ of the profit and the second $\frac{2}{3}$ of the remainder. If the third received the remaining $\#12,000.00$, how much profit did they share?
A $\#60,000.00$
B $\#54,000.00$
C $\#48,000.00$
D $\#42,000.00$
JAMB (UTME) Mathematics 1990
Q4822. Simplify $\sqrt{160r^2} + \sqrt{71r^4} + \sqrt{100r^3}$
A $9r^2$
B $12\sqrt{3}r$
C $13r$
D $\sqrt{13}r$
JAMB (UTME) Mathematics 1990
Q4823. Simplify $27 + 3 \div 3$
A $9$
B $18$
C $28$
D $30$
JAMB (UTME) Mathematics 1990
Q4824. Simplify $3\log_9 3 + \log_6 12 + \log_6 64 - \log_6 72$
A $5$
B $7776$
C $\log_6 31$
D $6(7776)^6$
JAMB (UTME) Mathematics 1990
Q4825. Simplify $(1 - \frac{1}{x-1}) \div (1 - \frac{1}{y-1})$
A $\frac{x}{y}$
B $\frac{xy}{x-1}$
C $\frac{x-2}{y-2}$
D $\frac{x-2}{y-2}$
JAMB (UTME) Mathematics 1990
Q4826. If $a = 2$, $b = -2$ and $c = -\frac{1}{2}$ evaluate $(ab^2 - bc^2)(a^2c - abc)$
A $0$
B $28$
C $-34$
D $30$
JAMB (UTME) Mathematics 1990
Q4827. Y varies inversely as $x^2$ and $X$ varies directly as $Z^2$ find the relationship between $Y$ and $Z$ if $C$ is a constant.
A $Z^4y = C$
B $Y = CZ^2$
C $Y = CZ^2$
D $Y = C$
JAMB (UTME) Mathematics 1990
Q4828. Find the value of $r$ in terms of $p$ and $q$ in the following equation $\frac{p}{2} = \frac{r}{r+q}$
A $r = \frac{q}{2-p^2}$
B $r = \frac{q}{2-q^2}$
C $r = \frac{p^2q^2}{2-pq}$
D $r = \frac{pq}{2-p}$
JAMB (UTME) Mathematics 1990
Q4829. If $f(x - 4) = x^2 + 2x + 3$ find $f(2)$
A $6$
B $11$
C $27$
D $51$
JAMB (UTME) Mathematics 1990
Q4830. Factorize $9(x + y)^2 - 4(x - y)^2$
A $(x + y)(5x + y)$
B $(x + y)^2$
C $(x + 5y)(5x + y)$
D $5(x + y)^2$
JAMB (UTME) Mathematics 1990
Q4831. If $a^2 + b^2 = 16$ and $2ab = 7$ find the possible values of $(a - b)$
A $\pm 3$
B $\pm 5$
C $\pm 9$
D $\pm 11$
JAMB (UTME) Mathematics 1990
Q4832. Divide $x^3 - 2x^2 - 5x + 6$ by $(x - 1)$
A $x^2 - x - 6$
B $x^2 - 5x + 6$
C $x^2 - 7x + 6$
D $x^2 - 5x - 6$
JAMB (UTME) Mathematics 1990
Q4833. If $x + \frac{1}{x} = 4$ find the $x^2 + \frac{1}{x^2}$
A $12$
B $14$
C $16$
D $18$
JAMB (UTME) Mathematics 1990
Q4834. What must be added to $4x^2 - 4$ to make it a perfect square?
A $-\frac{1}{x^2}$
B $\frac{1}{x^2}$
C $1$
D $-1$
JAMB (UTME) Mathematics 1990
Q4835. Find the solution of the equation $x^2 - 8x + 15 = 0$
A $3, 5$
B $-3, -5$
C $3, -5$
D $-3, 5$
JAMB (UTME) Mathematics 1990
Q4836. The lengths of the sides of a right-angled triangle are $x\text{cm}$, $(3x - 1)\text{cm}$ and $(3x + 1)\text{cm}$. Find $x$
A $5$
B $7$
C $8$
D $12$
JAMB (UTME) Mathematics 1990
Q4837. The perimeter of a rectangular lawn is $24\text{m}$, if the area of the lawn is $35\text{m}^2$, how wide is the lawn?
A $5\text{m}$
B $7\text{m}$
C $12\text{m}$
D $14\text{m}$
JAMB (UTME) Mathematics 1990
Q4838. A car painter charges $\#40.00$ per day for himself and $\#10.00$ per day for his assistant. If a fleet of cars were painted for $\#2,000.00$ and the painter worked 10 days more than his assistant, how much did the assistant receive?
A $\#32.00$
B $\#320.00$
C $\#400.00$
D $\#420.00$
JAMB (UTME) Mathematics 1990
Q4839. Simplify $\frac{x}{(x + y)} - \frac{y}{x - y} - \frac{x^2}{(x^2 - y^2)}$
A $\frac{x^2}{x^2 - y^2}$
B $\frac{-2xy-y^2}{x^2 - y^2}$
C $\frac{x}{x^2 - y^2}$
D $\frac{y}{x^2 - y^2}$
JAMB (UTME) Mathematics 1990
Q4840. Given that $x^2 + y^2 + z^2 = 194$ calculate $z$ if $x = 7$ and $y = 3$
A $10$
B $11$
C $12$
D $13$
JAMB (UTME) Mathematics 1990
Q4841. Find the sum of the first twenty terms of the arithmetic progression $\log a, \log a^2, \log a^3, \dots$
A $\log a^{20}$
B $\log a^{21}$
C $\log a^{200}$
D $\log a^{210}$
JAMB (UTME) Mathematics 1990
Q4842. Find the sum of the first 18 terms of the progression $3, 6, 12, \dots$
A $3(2^{17} - 1)$
B $3(2^{18} - 1)$
C $3(2^{18} + 1)$
D $3(2^{18} - 1)$
JAMB (UTME) Mathematics 1990
Question diagram
Q4843. What is the equation of the quadratic function represented by the graph above?
A $y = x^2 + x - 2$
B $y = x^2 - x - 2$
C $y = -x^2 - x + 2$
D $y = -x^2 + x + 2$
JAMB (UTME) Mathematics 1990
Q4844. At what value of $x$ is the function $x^2 + x + 1$ minimum?
A $-1$
B $-\frac{1}{2}$
C $\frac{1}{2}$
D $1$
JAMB (UTME) Mathematics 1990
Question diagram
Q4845. In the diagram above, the area of $PQRS$ is $73.5\text{cm}^2$ and its height is $10.5\text{cm}$ find the length of $PS$ if $QR = 3\text{cm}$.
A $4\text{cm}$
B $6\text{cm}$
C $8\text{cm}$
D $10\text{cm}$
JAMB (UTME) Mathematics 1990
Q4846. The angle of a sector of a circle, radius $10.5\text{cm}$, is $48^{\circ}$. calculate the perimeter of the sector
A $8.8\text{cm}$
B $25.4\text{cm}$
C $25.6\text{cm}$
D $29.8\text{cm}$
JAMB (UTME) Mathematics 1990
Question diagram
Q4847. In the figure above $PS = QS$ and $QSR = 100^{\circ}$ find $QPR$
A $40^{\circ}$
B $50^{\circ}$
C $80^{\circ}$
D $100^{\circ}$
JAMB (UTME) Mathematics 1990
Question diagram
Q4848. In triangle $XYZ$ and $XQP$, $XP = 4\text{cm}$, $XQ = 5\text{cm}$ and $PQ = QY = 3\text{cm}$. Find $ZY$
A $8\text{cm}$
B $6\text{cm}$
C $4\text{cm}$
D $3\text{cm}$
JAMB (UTME) Mathematics 1990
Q4849. Find the length of a side of a rhombus whose diagonals are $6\text{cm}$ and $8\text{cm}$
A $8\text{cm}$
B $5\text{cm}$
C $4\text{cm}$
D $3\text{cm}$
JAMB (UTME) Mathematics 1990
Q4850. Each of the interior angles of a regular polygon is $140^{\circ}$. how many sides has the polygon?
A $9$
B $8$
C $7$
D $5$