# Arithmetic Aptitude 4

• Last Updated : 16 May, 2019

 Question 1

Raghav has got a bag of numbers from 1 to 500, however he want to remove the numbers those are multiple of 9. How many total numbers will be removed?

 A 44 B 55 C 50 D 52
Arithmetic Aptitude 4    Number Divisibility
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Question 1 Explanation:
```The required numbers are 9, 18, 27, 36, 45……450, 459, 468, 477, 486, 495

This is an A.P. with a = 9 and d = 9

Let it has n terms.

Then Tn = 495 = 9 + (n-1) x9

∴ 495 = 9 + 9n - 9

∴ 9n = 495

∴ n = 55```
 Question 2
How many terms are there in 3,9,27,81........531441?
 A 25 B 12 C 13 D 14
Arithmetic Aptitude 4    Numbers    50 Aptitude & Reasoning MCQs with Answers
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Question 2 Explanation:
```3, 9, 27, 81..............531441 form a G.P.
with a = 3 and r = 9/3 = 3
Let the number of terms be n```
According to the formula, Nth term of the G.P is represented as Tn = a x rn-1
```Then 3 x 3n-1 = 531441
∴ 3n = 312
∴ n = 12```
 Question 3
7 + 72 + 73...........76 =?
 A 140136 B 142156 C 133256 D 137256
Arithmetic Aptitude 4    Simplification and Approximation    50 Aptitude & Reasoning MCQs with Answers
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Question 3 Explanation:
```Given series is a G. P. with a = 7, r = 7 and n = 6

∴ Sn = a(rn-1) / (r-1)

∴ Sn = 7(76-1) / 6

Sn = = 137256```
 Question 4
Two numbers are in the ratio of 2:9. If their H. C. F. is 19, numbers are:
 A 6, 27 B 8, 36 C 38, 171 D 20, 90
Arithmetic Aptitude 4    Ratio and Proportion    HCF
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Question 4 Explanation:
```Let the numbers be 2X and 9X
Then their H.C.F. is X, so X = 19
∴ Numbers are (2x19 and 9x19) i.e. 38 and 171```
 Question 5
Subhash has 90 currency notes, some of which are Rs. 1000 denomination and rest of Rs. 500 denomination. The total amount is Rs 71,000. How many notes he has in denomination of Rs. 500?
 A 30 B 32 C 34 D 38
Arithmetic Aptitude 4    50 Aptitude & Reasoning MCQs with Answers
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Question 5 Explanation:
```Let the no. of Rs. 500 note be X
Then the no. of Rs. 1000 note = 90 – X
∴ 500X + 1000(90 – X) = 71000
∴ 500X + 90000 – 1000X = 71000
∴ 500X = 19000
∴ X = 38```
 Question 6

If the average of four consecutive odd numbers is 16, find the smallest of these numbers?

 A 5 B 7 C 13 D 11
Arithmetic Aptitude 4    Numbers    50 Aptitude & Reasoning MCQs with Answers
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Question 6 Explanation:
```Let the numbers be x, x+2, x+4 and x+6
Then (x + x + 2 + x + 4 + x + 6)/4  = 16
∴ 4x + 12 = 64
∴ x = 13```
 Question 7
If the sum of two numbers is 13 and the sum of their square is 85. Find the numbers?
 A 6 & 7 B 5 & 8 C 4 & 9 D 3 & 10
Arithmetic Aptitude 4    Numbers    50 Aptitude & Reasoning MCQs with Answers
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Question 7 Explanation:
Let the numbers be x and 13-x Then x2 + (13 – x)2 = 85 ∴ x2 + 169 + x2 – 26x = 85 ∴ 2 x2 – 26x + 84 = 0 ∴ x2 – 13x + 42 = 0 ∴ (x-6)(x-7)=0 Hence numbers are 6 & 7
There are 7 questions to complete.
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