Post Utme Mathematics Past Questions and Answers

Question 421:

I \(P\) and \(Q\) are fixed points and \(x\) is a variable point which moves so that angle \(P X Q=45^{\circ}\) what is the locus of \(X\) ?

A. A pair of straight lines parallel to P Q
B. The perpendicular bisector of P Q
C. An are of a circle passing through \(P\) and Q
D. A circle with diameter P Q
E. The bisector of angle \(P X Q\)

Question 422:

A sector of a circle is bounded by two radii \(7 cm\) long and are length \(6 cm\).
find the area of the sector ____________

A. \(42 cm ^{2}\)
B. \(3 cm ^{2}\)
C. \(21 cm ^{2}\)
D. \(24 cm ^{2}\)
E. \(12 cm ^{2}\)

Question 423:

The currency used in a country is "matimalik \({ }^{2}(M)\) and is of the base seven.
A lady in that country bought 4 bags of rice at M56 per bag and 3tins of milk at m4 per tin. What is the total cost of the items she bought?

A. M246 \((7)\)
B. \(M 242_{(7)}\)
C. \(M 236_{(7)}
D. M 336_{(7)}\)

Question 424:

If \(0.0000152 \times 0.00042=A \times 10^{8}\), where \(1 \leq A<10\), find \(A\) and \(B\)

A. \(A=9, B=6.38\)
B. \(A=6.38, B=-9\)
C. \(A=6.38, B=9\)
D. \(A=6.38, B=-1\)
E. \(A=6.38, B=1\)

Question 425:

The sum of infinity of the series \(1+1 / 3+1 / 9+1 / 27+2\) is

A. \(10 / 3\)
B. 11/3
C. \(3 / 2\)
D. 5/2