Math (Problem Solving)

In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? A. 6 B. 15 C. 24 D. 33 E. 54

The correct answer is (C)

What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive? A. 90 B. 95 C. 100 D. 105 E. 110

The correct answer is (C)

If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value? A. f(-1) B. f(0) C. f(1) D. f(3) E. f(4)

The correct answer is (D)

If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero? A. P B. Q C. R D. S E. T

The correct answer is (D)

Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set? A. 4 B. 7 C. 8 D. 12 E. it cannot be determined from the information given.

The correct answer is (D)

(6^5-6^4)/5 A. 1/5 B. 6/5 C. 6³ D. 64 / 5 E. 64

The correct answer is (E)

-20 , -16 , -12 , -8 .... In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence? A. 0 B. 200 C. 440 D. 668 E. 762

The correct answer is (E)

If an object travels at five feet per second, how many feet does it travel in one hour? A. 30 B. 300 C. 720 D. 1800 E. 18000

The correct answer is (E)

If n ≠ 0, which of the following must be greater than n? I 2n II n² III 2 - n A. I only B. II only C. I and II only D. II and III only E. None

The correct answer is (E)

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? A. 5 : 1 B. 10 : 5 C. 15 : 2 D. 20 : 2 E. 25 : 2

The correct answer is (E)

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C? I 11 II 1 III 7 A. I only B. II only C. I and II only D. II and III only E. I, II, or III.

The correct answer is (E)

After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce? A. 20 B. 15 C. 8 D. 5 E. 3.2

The correct answer is (C)

For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200? A. 48 B. 49 C. 50 D. 51 E. 52

The correct answer is (C)

( √2 - √3 )² = A. 5 - 2√6 B. 5 - √6 C. 1 - 2√6 D. 1 - √2 E. 1

The correct answer is (A)

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long? A. 48 B. 32 C. 24 D. 18 E. 12

The correct answer is (A)

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes per hour, or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required? A. 10 B. 15 C. 20 D. 25 E. 30

The correct answer is (A)

If f(x) = x² - 3, where x is an integer, which of the following could be a value of f(x)? I 6 II 0 III -6 A. I only B. I and II only C. II and III only D. I and III only E. I, II and III

The correct answer is (A)

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ? A. 11/P + 6 B. P/11 +6 C. 17 - P/6 D. 17/P E. 11.5P

The correct answer is (A)

n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is A. 14 B. 18 C. 20 D. 30 E. 50

The correct answer is (A)

12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm3) A. 6 B. 8 C. 10 D. 20 E. 40

The correct answer is (B)

If f(x) = │(x² - 50)│, what is the value of f(-5) ? A. 75 B. 25 C. 0 D. -25 E. -75

The correct answer is (B)

Of the following, which is greater than ½ ? A. 2/5 B. 4/7 C. 4/9 D. 5/11 E. 6/13

The correct answer is (B)

√5 percent of 5√5 = A. 0.05 B. 0.25 C. 0.5 D. 2.5 E. 25

The correct answer is (B)

2^30 + 2^30 + 2^30 + 2^30 = A. 8^120 B. 8^30 C. 2^32 D. 2^30 E. 2^26

The correct answer is (C)

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle? A. 2.5π B. 3π C. 5π D. 4π E. 10π

The correct answer is (C)