POST-UTME Past Questions
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post-utme 2010 government
Q1. A state with a hegemonic party is one in which
Athere is one dominant party
Bthere is no opposition party
Cthere is only one party
Dother parties are officially recognized.
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post-utme 0 mathematics
Q2. Standard deviation of 2,3,8,10 and 12.
A3.9
B4.9
C5.9
D6.9
Correct Answer: B
Step 1: Find mean = (2+3+8+10+12)/5 = 7. Step 2: Find squared deviations from mean. Step 3: Average them (variance). Step 4: Take square root ≈ 4.9.
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post-utme 0 mathematics
Q3. Evaluate ^{15}C_2.
A3630
B3360
C1120
D105
Correct Answer: D
Step 1: Combination formula ^nC_r = n! / (r! (n-r)!). Step 2: ^15C_2 = (15×14)/(2×1) = 210/2 = 105.
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post-utme 2007 physics
Q4. It is known that an atomic nucleus comprises of positive charged protons. Which of the following also exist in the nucleus?
Aa beta particle
Ban Alpha particle
CA neutron
DAn electron
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post-utme 0 physics
Q5. Two waves of the same frequency and amplitude travelling in opposite directions will produce:
ABeats
BStationary waves
CEcho
DResonance
Correct Answer: B
Superposition of two identical waves travelling in opposite directions results in standing (stationary) waves with nodes and antinodes.
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post-utme 0 mathematics
Q6. Number of ways to arrange letters of TOTALITY.
A6720
B6270
C6207
D6027
Correct Answer: A
Step 1: 8 letters total. Step 2: T appears 3 times, others unique. Step 3: Arrangements = 8! / 3! = 40320 / 6 = 6720.
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post-utme 0 biology
Q7. What is the term for the symbiotic relationship where both species benefit?
AParasitism
BCommensalism
CMutualism
DPredation
Correct Answer: C
Mutualism is a symbiotic relationship where both species benefit, such as bees pollinating flowers while obtaining nectar. Parasitism benefits one at the other’s expense, commensalism benefits one without affecting the other, and predation involves one consuming the other.
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post-utme 2006 commerce
Q8. An objective of the farmers' association is to
Aensure that the prices of goods are fair and reasonable
Bcorrect the imbalance between consumers and producers
Cimprove the methods of selling and advertising
Dprovide a stable market outlet for farm inputs,
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post-utme 2012 economics
Q9. Discount rate means
ARate at which money are borrowed from commercial bank
BRate at which bank receive deposit from the public
CCentral bank rate on the money borrowed by commercial banks
DCommercial bank rate on the money borrowed from other commercial bank
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post-utme 2011 physics
Q10. A cigarette lighter in a car is a resistor that, when activated, is connected across the 12 – V battery. If the lighter dissipates 33 W of power, find the current it delivers to the lighter.
A9.90 Ω
B6.60 Ω
C4.36
D17.50Ω
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post-utme 0 physics
Q11. Amalaria patient has a body temperature of 98.6°F. What is this temperature on the Celsius scale?
A37°C
B20°C
C32°C
D35°C
Correct Answer: A
Conversion formula: °C = (°F - 32) × 5/9 = (98.6 - 32) × 5/9 = 37°C.
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post-utme 0 mathematics
Q12. Find the roots of the equation 10x² - 13x - 3 = 0
Ax=3/5 or -1/2
Bx=-1/5 or 3/2
Cx=3/10 or 1
Dx=-3/10 or 1
Correct Answer: B
Use the quadratic formula: x = [13 ± √(13² - 4(10)(-3))] / (2×10) = [13 ± √(169 + 120)] / 20 = [13 ± √289] / 20 = [13 ± 17]/20. So x = (13 + 17)/20 = 30/20 = 3/2 and x = (13 - 17)/20 = -4/20 = -1/5.
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post-utme 2007 economics
Q13. The production within the domestic territory of a country is called the
ANet national product
BGross domestic
CDisposable income
DGross national product
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post-utme 0 physics
Q14. Calculate the braking force to bring a body of mass 1 kg to rest from 25 m/s on a level ground in 60 m with uniform retardation
A5.2 N
B5.5 N
C5.6 N
D5.0 N
Correct Answer: D
Using v² = u ² + 2as: 0 = 625 + 2a(60) → a = -5.208 m/s². Force F = 1 × 5.208 ≈ 5.2 N (closest to 5.0 N in the options).
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post-utme 0 generalpaper
Q15. What do ichthyologists study?
ABirds
BGnomes
CFish
DPaedophiles
Correct Answer: C
Ichthyologists are scientists who specialize in 'ichthyology', the branch of zoology that studies fish, including their classification, behavior, physiology, and ecology.
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post-utme 2002 commerce
Q16. One of the most important function of marketing is
Aencouraging research activities to meet needs
Bcreating classes of merchants among businessmen
Cthe extension of markets for businesses
Dproviding finances to businesses
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post-utme 0 mathematics
Q17. If (x - 2) is a factor of x^3 - 3x^2 + kx - 4, find k.
A5
B-5
C3
D-3
Correct Answer: A
If x - 2 is a factor, f(2) = 0. Compute: 2^3 - 3(2^2) + k(2) - 4 = 8 - 12 + 2k - 4 = 2k - 8 = 0, 2k = 8, k = 5.
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post-utme 2 insurance
Q18. Factor that causes an exposure to injury, loss or damage is
ARisk
BHazard
CPeril
DAccident
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post-utme 2011 physics
Q19. Which of the following is not true about a chemical cell?
Ain primary cells the process through which current is generated is irreversible
Bsecondary cells can be recharged after they run down by passing a current into the cell in the reverse direction
Cpositive ions are attracted to the positive electrode where they become neutralized by acquiring electrons
Dprimary cells can be recharged
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post-utme 2013 civiledu
Q20. Malaria fever can be transmitted through
Ahand shaking
Beating of unbalanced diet
Cmosquito bite
Deating of bush meat such as bat and monkey
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