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Mathematics
UTME / JAMB 2025
Surds
Solution
Solve for y in \(\sqrt{75}\) - \(\sqrt{12}\) + \(\sqrt{27}\) = y\(\sqrt{3}\)
A
\(4\sqrt{3}\)
B
\(5\sqrt{3}\)
C
\(3\sqrt{3}\)
D
\(6\sqrt{3}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Number and Numeration
Solution
Express \(\sqrt[4]{0.16}\) in standard form
A
2 \(\times 10^{-\frac{1}{2}}\)
B
2 \(\times 10^2\)
C
2 \(\times 10^{-2}\)
D
2 \(\times 10^{\frac{1}{2}}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Fractions, Decimals, Percentages & Approximation
Solution
A banker spent \(\frac{1}{5}\) of his salary on shirts, \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left
A
\(\frac{6}{15}\)
B
\(\frac{8}{15}\)
C
\(\frac{7}{15}\)
D
\(\frac{4}{5}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Sets & Set Operations
Solution
The set {1,2,3,4,5} is equivalent to
A
{2,3,1,4}
B
{1,2,3,4,5,5}
C
{1,2,3,4}
D
{4,3,1,5,2}
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Sets & Set Operations
Diagram
Solution
In the Venn diagram above, the shaded region is
A
(P \(\cap\) Q)' \(\cap\) R
B
(P \(\cap\) Q) \(\cup\) R)
C
(P \(\cup\) Q) \(\cap\) R
D
(P U R)' \(\cap\) Q
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Matrices and Determinants
Solution
Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)
A
1
B
-1
C
2
D
0.5
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Matrices and Determinants
Solution
If I is a 2 × 2 identity matrix, find the determinant of the matrix.
A
1
B
2
C
-1
D
0
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Matrices and Determinants
Solution
The determinant of the matrix \(A = \begin{pmatrix} -2 & 3 & 1 \\ p & 2 & 1 \\ 1 & 4 & 2\end{pmatrix}\) is -5. Find the value of p.
A
0
B
2
C
3
D
1
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Matrices and Determinants
Solution
Given that \(P = \begin{pmatrix} 1 & 3 \\ 2 & -5 \end{pmatrix}\) and Q = \(\begin{pmatrix} 3 & -7 \\ 1 & 2 \end{pmatrix}\) . Find P + 2Q
A
\(\begin{pmatrix} 7 & -11 \\ 4 & -1 \end{pmatrix}\)
B
\(\begin{pmatrix} 7 & -11 \\ 4 & -9 \end{pmatrix}\)
C
\(\begin{pmatrix} -7 & 11 \\ -4 & -1 \end{pmatrix}\)
D
\(\begin{pmatrix}11 & -7 \\ 4 & -1 \end{pmatrix}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Financial Arithmetic
Solution
A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?
A
30%
B
35%
C
25%
D
45%
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Financial Arithmetic
Solution
An amount of # 600,000.00 was realized when a principal y was saved for 5% simple interest for 4 years, find the value of y
A
# 570,000
B
# 500,000
C
# 300,000
D
# 400,000
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Variations
Solution
Y is partly constant and partly varies as x. When x = 3, y = 7 and when x = 5, y = 11. Find the constants of variation.
A
2,3
B
1,2
C
3,2
D
3,4
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Variations
Solution
A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2
A
12
B
14
C
16
D
11
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Variations
Solution
P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28
A
68
B
64
C
66
D
62
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Linear Inequalities
Solution
Solve the inequality 2x + 3 > 5x + 8
A
x > 1\(\frac{2}{3}\)
B
x > -1\(\frac{2}{3}\)
C
x < -1\(\frac{2}{3}\)
D
x < 1\(\frac{2}{3}\)
medium Difficulty
Study Solution