Numerical Reasoning Correct Answers w/ Solutions & Explanations

Numerical Reasoning Correct Answers with Solutions and Explanations:

1. (2) next number in the sequence is 3. Notice that the numbers in the pattern were divided by 3 to get the next number. Therefore, you divide 2187 by 3 you’ll get 729, then the next and so on.
2. (3) 81 – you can get this by squaring the numbers (1×1=1), (2×2=4), (3×3=9) and so on…
3. (4) -144 – subtract the 3rd and 1st to get the 2nd number, do the same to the next 3 sets
4. (1) IR KP – Use the equivalent ascending and descending letters in the alphabet
5. (2) P15625 – the pattern is the next 2 letters from the alphabet and the number multiplied by 5 to get the next one…
6. (2) -9 –positive + negative numbers is to subtract them and follow the sign of the bigger number
7. (3) 124 – positive – negative numbers is to change the sign of the subtrahend and follow the rules in addition
8. (1) 198 – multiplying numbers with similar signs = positive
9. (1) -100 – already explained
10. (1) -80 – dividing numbers with different signs = negative
11. (4) ¾ + 5/2 + 1/3 – simplify the fractions given and convert the mixed number into improper fraction
12. (3) LCD is 16 – the denominators are: 8, 4 and 16
13. (3) GCF is 18 since 36 and 64 are divisible by 18, 9, 6, 3
14. (3) the answer is 3 because ½ + 2 + ½ = 3
15. (2) the answer is 6/27 simplified into 2/9
16. (4) you will get 6 if you cross multiply the fractions
17. (1) .0075 because ¾ is 75 percent or 75/100
18. (4) 3.4/100 because percent is n/100
19. (2) .25 because it is the same as 25/100
20. (2) 5:4 because is is ½ divided by 2/5
21. (2) 2,120,000 because 10 to the 6th power is in million
22. (1) 2,500,000 because it is 25 x 100,000
23. (3) x = -3 because 5(-3) + 25 = 10
24. (4) y = 2 because 4 (8) – 2 (2) = 28
25. (1) x = 9 because 2 (9) + 4(8) = 50
26. (4) 5 years old – to get it, make a table and derive the equation:

Let x be Sam’s age:

Write the new relationship in an equation using the ages in 5 yrs.

In 5 years, Kit will be three times as old as Cara.

2x + 5 = 3 (x–5 + 5)
2x + 5 = 3x
x = 5

Sam is now 5 years old.

27. (3) 8 years old – again solve it by making a table and derive the equation:

Let x be James’s age now. Add 2 to get the ages in 2 yrs.

Write the new relationship in an equation using the ages in 2 yrs.

In two years, the sum of their ages will be 58.

James is now 8 years old.

29. (2) 360 miles Solution: D= 50 (2) + 4 (65) = 360 miles

30. (1) Original price is P3,062.50

To get it, simply divide P2450 by 80%

Math is never difficult to those who master the basic concepts and logic in Math.” – Fehl Dungo