NCE 4101 – CE Integration 1 – Algebra Part 1
I. SET
1. In my class 50 takes Algebra, 30 takes trigonometry, 10 takes algebra and trigonometry. Determine the
total number of students. Ans. 70
2. In my class, my students were enrolled in Algebra, Trigonometry and Geometry. If I have 79 total
students. 5 enrolled in algebra and trigonometry and 10 enrolled in Geometry and Trigonometry, none
take of all three. Determine the number of students that takes Algebra and Geometry. 35 takes Algebra,
60 takes Geometry and 19 takes Trigonometry. Ans. 20
II. NUMBER SYSTEM
3. If x, y and z are integers (x and y being even), which of the following could possibly be odd? a.) xy + y b.)
x +yz c.) xy + z d.) xz + yz Ans. c.) xy +z
4. Find the 2018th digit to the right of decimal when 218,107 is divided by by 333,333.
5. What is the GCF of 70 and 112? Ans. 14
6. What is the LCM of 15 and 18? Ans. 90
7. What is the LCD of 8, 9, 12 and 15? Ans. 360
III. EXPONENTS AND RADICALS
8. Simplify
(
125 a−3b6c9
216 x3y−6z−9
)
2
3
9. Solve for x in the given equation
xxxx…
= 3?
10. The population in thousands of a country is
P=108
(
2.5
)
t/20
where t is measured in years. How
long will it take for the population to increase by 150 percent? Ans. 20 years
11. What is the last digit of 3^128 + 7^535 + 14^860?
Ans. 0
IV. LOGARITHM
12. What is the characteristic and mantissa of logarithm of 329.65 to the base 10? Ans. 2 , 0.518
13. Find the antilogarithm of 8.20189 – 10. Ans. 0.0159
14. What is the cologarithm of 132 to the base 10? Ans. -2.121
15. What is log (-8)?
