# Aptitude - Arithmetic Online Quiz

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 - If X and Y are two different prime numbers, then find the number of divisors of X2Y2?

A - 3

B - 9

C - 6

D - 7

### Explanation

```
X2Y2 = X2 x Y2
Number of divisors = (2+1)(2+1)= 9  ```

Q 3 - If |x - 5| = 10 and |2y - 12| = 8, what is the minimum possible value of y/x?

A - -2

B - -1

C - -3/5

D - 2/-5

### Explanation

```
y =10, 2.
x =15,-5.
So minimum value would be 10 / -5 = -2  ```

Q 4 - What is the greater of two numbers whose product is 1092 and the sum of the two numbers exceeds their difference by 42?

A - 48

B - 44

C - 52

D - 54

### Explanation

```
Let the numbers be x and y respectively.
According to question,       (x + y) - (x - y) = 42
or, y = 21
∴x = 1092/21 = 52
Greater number is 52. ```

Q 5 - If 10th term of A.P. a, a-b, a-2b, ... is 20 and 20th term is 10 then what will be xth term?

A - 10-x

B - 20-x

C - 29-x

D - 30-x

### Explanation

```
Here a = a-b,  d = (a-2b) - (a-b) = -b,
Using formula Tn = a + (n - 1)d
T10 = (a-b) + (10 - 1) x (-b) = 20
=> a - 9b = 20 ... (i)
T20 = (a-b) + (20 - 1) x (-b) = 10
=> a - 19b = 10 ... (ii)
Subtracting (ii) from (i) 10b = 10
=> b = 1
Using (i) a - 9(1) = 20
=> a = 29
∴ xth term = a + (x-1)d
= a + (x-1)(-b) = 20 + (x-1)(-1)
= 30-x ```

Q 6 - if a, a-2 and 3a are in an A.P. what is a?

A - -3

B - -2

C - 2

D - 3

### Explanation

```
As a, a-2 and 3a are in an A.P.
∴ (a-2) - a = 3a - (a-2)
=> -2 = 2a - 2
=> a = -2 ```

Q 7 - If third term of a G.P. is 4. What will be the product of first 5 terms?

A - 43

B - 44

C - 45

D - 46

### Explanation

```
Using formula Tn = arn- 1
T3 = a x r(3-1) = 4
=> ar2 = 4
Thus product of first five terms  = a x ar x ar2 x ar3 x ar3
= a5r10
= (ar2)5
= 45 ```

Q 8 - If a clock buzzes 1 time at 1 o'clock , 2 times at 2 o'clock and so on then how many times it buzzes in a day?

A - 100

B - 150

C - 156

D - 166

### Explanation

```
Total buzzes = 2(1 + 2 + 3 ... + 12)
Here a = 1, d = 1 , l = 12
Using formula Sn = (n/2)[a+l]
Sn = (12/2)[1+12]  = 6 x 13  = 78
Thus total number of buzzes = 2 x 78 = 156. ```

Q 9 - If an A.P. have 4th term as 16 and 12th term as 80. What will be its first term?

A - -10

B - -7

C - 7

D - 10

### Explanation

```
Let's have first term as a, common difference is d then
a + 3d = 16 ... (i)
a + 11d = 80 ... (ii)
Subtracting (i) from (ii)
=> 8d = 64  => d = 8
Using (i)
=> a = 14 - 3d  = -10  ```

Q 10 - If nth term of the series 72, 63, 54, ... is 9. What is n?

A - 8

B - 9

C - 10

D - 11

```