Question 1 of 20 4,407 total questions
Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
A 2
B 0
C 2\(^0\)
D \(\frac{1}{2}\)
How many different 8 letter words are possible using the letters of the word SYLLABUS?
A (8 - 1)!
B \(\frac{8!}{2!}\)
C \(\frac{8!}{2! 2!}\)
D 8!
Convert 1011¸? to base 10
Explanation Answer: B
8+0+2+1 = 11.
The 5th term of an AP with first term 3 and common difference 4 is
Explanation Answer: B
T5 = 3 + 4(5-1) = 3+16=19.
Solve for x: 5x - 2 = 3x + 10
Explanation Answer: B
2x = 12 ?¸x=6.
A circle has radius 14 cm. Find its circumference. (¸=22/7)
A 88 cm
B 44 cm
C 616 cm
D 154 cm
Explanation Answer: A
C=2Îr = 2Î(22/7)Î14 = 88 cm.
Find the derivative of y = 3x¸ + 2x - 1
A 3x + 2
B 6x + 2
C x?? + 2x
D 6x - 1
Explanation Answer: B
d/dx of 3x¸is 6x, of 2x is 2.
Two fair dice are tossed. What is the probability that the sum is 7?
Explanation Answer: C
6 outcomes give 7 out of 36 ?¸1/6.
If the sum of the interior angles of a polygon is 1080¸, how many sides does it have?
Explanation Answer: B
Sum = (n-2)Î180 = 1080 ?¸n-2=6 ?¸n=8.
Find the value of x in the equation 2(x - 3) = x + 5
Explanation Answer: C
Expand: 2x - 6 = x + 5, so x = 11.
Question 181
post_utme
2023
Find the sum of the first 10 terms of the AP: 2, 5, 8, ...
Explanation Answer: A
S = n/2(2a + (n-1)d) = 5(4 + 27) = 155.
Question 182
post_utme
2023
In how many ways can 4 books be arranged on a shelf?
Explanation Answer: D
Number of arrangements = 4! = 24.
Question 183
post_utme
2023
A trader buys an item for 500 naira and sells it for 650 naira. Find the percentage profit.
Explanation Answer: B
Profit = 150. Percentage = (150/500) ¸100 = 30%.
Question 184
post_utme
2023
Find the derivative of y = x^3 + 2x
A 3x^2 + 2
B x^3 + 2
C 3x + 2
D x^2 + 2
Explanation Answer: A
Differentiating term by term: d/dx(x^3) = 3x^2, d/dx(2x) = 2.
If log(base2) 8 = x, find x
Explanation Answer: B
2^3 = 8, therefore log(base2) 8 = 3.
A bag contains 3 red and 5 blue balls. What is the probability of picking a red ball?
Explanation Answer: B
Probability = favourable outcomes / total = 3/(3+5) = 3/8.
Find the value of x when x = 2y - 3 and y = 4
Explanation Answer: A
Substitute y = 4: x = 2(4) - 3 = 8 - 3 = 5.
If a train travels 120km in 2 hours, what is its speed in km/h?
A 60 km/h
B 120 km/h
C 240 km/h
D 90 km/h
Explanation Answer: A
Speed = Distance/Time = 120/2 = 60 km/h.
What is the value of 2^5 ¸ 2^2?
Explanation Answer: B
When dividing powers with the same base, subtract the exponents: 2^(5-2) = 2^3 = 8.
Find the value of x in the equation 2(x - 3) = x + 5
Explanation Answer: C
Expand: 2x - 6 = x + 5, so x = 11.
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