# 1000+ TNPSC Aptitude Study Materials Pdf - 1

Question: 1

Twenty times a positive integer is less than its square by 96. What is the integer?

(A) 20

(B) 22

(C) 24

(D) 26

Ans: C

Let the integer be x.

Then, x^{2} - 20x = 96

⇔ x^{2} - 20x – 96 = 0

⇔ (x + 4) (x – 24) = 0

⇔ x = 24.

Question: 2

Two numbers are such that their difference, their sum and their product are to one another as 1 : 7 : 24. The product of the two numbers is

(A) 12

(B) 24

(C) 48

(D) 60

Ans: C

Let the numbers be x and y.

Let a - b = k ----(i)

a + b = 7k ------(ii)

ab = 24k

Adding (i) and (ii), we get : 2a = 8k or a = 4k.

Putting a = 4k in (i), we get : b = 3k.

Putting a = 4k and b = 3k in (iii), we get : 4k × 3k
= 24 k ⇔ 12^{2} = 24k ⇔ k = 2.

Hence, product of numbers = 24k = 24 × 2 = 48.

Question: 3

If the product of three consecutive integers is 120, then the sum of the integers is

(A) 9

(B) 12

(C) 15

(D) 18

Ans: C

120 = 2 × 2 × 2 × 3 × 5

= (2 × 2) × 5 × (2 × 3) = 4 × 5 × 6.

Clearly, the three consecutive integers whose product is 120 are 4, 5 and 6.

Required sum = 4 + 5 + 6 = 15.

Question: 4

Three numbers are in the ratio 3 : 2 : 5. The sum of their squares is 1862. Find the numbers.

(A) 3

(B) 7

(C) 9

(D) 10

Ans: B

Let the numbers be 3x, 2x and 5x.

Then, (3x)^{2} + (2x)^{2} + (5x)^{2} = 1862 ⇒ 9x^{2} + 4x^{2} + 25x^{2} = 1862

⇒ 38^{2} = 1862
⇒ x^{2} = $${1862}/ {38}$$ = 49
⇒ x = $$√49$$ = 7

Hence, the numbers are 21, 14 and 35.

Question: 5

If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers.

(A) 20

(B) 27

(C) 28

(D) 29

Ans: B

Then, x^{2} + (x + 2)^{2} + (x + 4)^{2} = 2531

⇒ 3x^{2} + 12x - 2511 = 0 ⇒ x^{2} + 4.

Hence, the required numbers are 27, 29 and 31.

1000+ GRE Non Verbal Reasoning Questions and Answers Pdf More

1000+ Non Verbal Reasoning Grouping of Images Questions Pdf More

Non Verbal Reasoning Grouping of Identical Figures Questions More

1000+ Transformation of Sentences Worksheet with Answers Pdf More

1000+ Ethiopian Bank Interview Questions and Answers Pdf More

1000+ Computer Quiz 2022-2023 More

Synonyms and Antonyms for Civil Service Exams Pdf More

1000+ Management Information System MCQ Questions and Answers Pdf More

100+ IAS Objective Questions and Answers More

1000+ Ethiopian Bank Entrance Exam Papers with Answers Pdf More