1951 AHSME Problems

Problem 1

Solution

Problem 2

The percent that $M$ is greater than $N$ , is:

(A) $\frac {100(M - N)}{M}$

(B) $\frac {100(M - N)}{N}$

(C) $\frac {M - N}{N}$

(D) $\frac {M - N}{M}$

(E) $\frac {100(M + N)}{N}$

Solution

Problem 3

If the length of a diagonal of a square is $a + b$ , then the area of the square is:

(A) $(a + b)^2$ (B) $\frac {1}{2}(a + b)^2$ (C) $a^2 + b^2$ (D) $\frac {1}{2}(a^2 + b^2)$ (E) none of these

Solution

Problem 4

A barn with a roof is rectangular in shape, 10 yd. wide, 13 yd. long and 5 yd. high. It is to be painted inside and outside, and on the ceiling, but not on the roof or floor. The total number of sq. yd. to be painted is:

(A) 360 (B) 460 (C) 490 (D) 590 (E) 720

Solution

Problem 5

Mr. $A$ owns a home worth $$$$ 10,000. He sells it to Mr. $B$ at a 10 % profit based on the worth of the house. Mr. $B$ sells the house back to Mr. $A$ at a 10 % loss. Then:

(A) $A$ comes out even (B) $A$ makes $$$$ 1100 on the deal (C) $A$ makes $$$$ 1000 on the deal (D) $A$ loses $$$$ 900 on the deal (E) $A$ loses $$$$ 1000 on the deal

Solution