# Aptitude - Arithmetic Online Quiz

#### Quantitative Aptitude Course in Tamil

87 Lectures 22.5 hours

Following quiz provides Multiple Choice Questions (MCQs) related to Basic Arithmetic. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - If an A.P. have 4th term as 14 and 12th term as 70. What will be its 17th term?

A - 108

B - 107

C - 106

D - 105

### Explanation

```
Let's have first term as a, common difference is d then
a + 3d = 14 ... (i)
a + 11d = 70 ... (ii)
Subtracting (i) from (ii)
=> 8d = 56  => d = 7
Using (i)
=> a = 14 - 3d  = -7
Using formula Tn = a + (n - 1)d
T17 = -7 + (17 - 1) x 7 = 105
```

Q 2 - How many 3 digits numbers are there which are divisible by 6?

A - 102

B - 150

C - 151

D - 156

### Explanation

```
Here series is 102, 108, 114, ... 996.
Here a = 102,  d = 108 - 102 = 6
Using formula Tn = a + (n - 1)d
Tn = 102 + (n - 1) x 6 = 996
=> 102 + 6n - 6 = 996
=> 6n = 900
=> n = 150  ```

Q 3 - If -2≤X≤3 and 3≤Y≤6, the least possible value of 3Y-2X is

A - 3

B - -3

C - -12

D - -6

### Explanation

```
For 3Y-2X to be minimum the condition is that Y must be substituted with least value and X must be with large value
=> 3(3)-2(3)
=3.  ```

Q 4 - Two numbers are less than the third number by 50% and 54% respectively. By how much percent is the second number less than the first number?

A - 13

B - 10

C - 12

D - 8

### Explanation

```
Let the third number be 100.
∴First Number = 50 and Second Number = 46
Decrease = 50 - 46 = 4
∴Required Percentage = (4/50)x100 = 8% ```

Q 5 - What is next in 2, 5, 8,...?

A - 7

B - 9

C - 10

D - 11

### Explanation

```
Here numbers are 2, 5, 8, ... which is an A.P. Here a = 2,  d = 3,
So next number will be 8 + 3 = 11. ```

Q 6 - How many odd numbered pages are present in a book of 1089 pages?

A - 542

B - 543

C - 544

D - 545

### Explanation

```
Here pages are 1, 3, ..., 1089 which is an A.P. Here a = 1,  d = 2, l = 1089
Using formula Tn = a + (n - 1)d
Tn = 1 + (n - 1) x 2 = 1089
=> 2n -1 = 1089
=> n = 1090 / 2 = 545 ```

Q 7 - Which term of 5, 10, 20, 40,.... is 1280?

A - 8th

B - 9th

C - 10th

D - 11th

### Explanation

```
Here numbers are in G.P.  Here a = 5,  r = 2, l = 1280.
Using formula Tn = arn- 1
Tn = 5 x 2(n-1) = 1280
=2(n-1) = 256
=2(n-1)
= 28
=> n - 1 = 8  => n = 9 ```

Q 8 - A piles of logs is arranged in such a way that top layer contains one log and each lower layer has one log more than the layer above. if there are 15 layers in total than how many logs are arranged in that pile?

A - 105

B - 120

C - 210

D - 225

### Explanation

```
Total logs = 1 + 2 + 3 ... + 15
Here a = 1, d = 1 , l = 15
Using formula Sn = (n/2)[a+l]
Sn = (15/2)[1+15]  = 15 x 8  = 120 ```

Q 9 - How many terms are present in A.P. 7, 11, 15, ..., 151?

A - 37

B - 32

C - 33

D - 34

### Explanation

```
Here a = 7,  d = 11 - 7 = 4,
Let there be n term.
Using formula Tn = a + (n - 1)d
Tn = 7 + (n - 1) x 4 = 151
=> 4n + 3 = 151
=> n = 37  ```

Q 10 - If 12 + 22 ... + 202 = 2870. What is 22 + 42 +... + 402?

A - 770

B - 1155

C - 1540

D - 3852

### Explanation

```
(22 + 42 ... + 402)  = (1 x 22 + 22 x 22 + 32 x 22 +... +  202 x 22)
= 22(12 + 22 + .... + 202)
= 4 x  385
= 1540 ```
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