Problems on Numbers Quiz Set 005 | Maths Aptitude Quiz Questions and Mock Test on Problems on Numbers Set 5 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

**Your Score**
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

15 times the middle of three consecutive even numbers is 150 more than 11 times the smallest of the three numbers. What is the middle number?

32.

33.

31.

34.

Soln.
Ans: a

This is the general solution. Let the numbers be 2n - 2, 2n and 2n + 2. We are given 15 × 2n = 150 + 11 × (2n - 2).
⇒ 15 × 2n = 150 + 11 × 2n - 11 × 2.
⇒ 2n × (15 - 11) = 150 - 11 × 2, so 2n = ${150 - 11 × 2}/{15 - 11} = 32$

Solution | Discuss! | Chapters»

Question 2

The sum of two numbers is 39. Their difference is 21. They are in the ratio?

$3{1/3}$.

$6{1/2}$.

$2{1/3}$.

$3{4/5}$.

Soln.
Ans: a

Let the numbers be a and b, and let their ratio be k such that $a/b = k$. We are given $a + b = 39$ ⇒ $b(k + 1) = 39$. Similarly, from the difference we can obtain $b(k - 1) = 21$. Dividing we get ${k + 1}/{k - 1} = 39/21$. By componendo and dividendo, $k = {39 + 21}/{39 - 21}$ = ${10/3}$, which is same as: $3{1/3}$.

Solution | Discuss! | Chapters»

Question 3

The sum of three consecutive even integer numbers is -2862. The middle among the three is?

-954.

-953.

-951.

-952.

Soln.
Ans: a

Let the numbers be 2n - 2, 2n and 2n + 2. The sum is 6n = 3 x 2n = 3 x middle. We are given 3 x middle = -2862, ⇒ middle = $-2862/3$, i.e., middle = -954.

Solution | Discuss! | Chapters»