## If 20% of an electricity bill is deducted, then Rs. 100 is till to be paid. How much was the original bill?

A. Rs. 115
B. Rs. 110
C. Rs. 125
D. None of these

To solve this problem, let’s denote the original electricity bill amount as .

If 20% of the bill is deducted, the remaining amount to be paid is 100. This means 80% of the bill remains.

We can set up the equation as follows:
0.80×x=100
Now, let’s solve for :
x=100​/0.80=125

So, the original electricity bill was Rs. 125.

Therefore, the correct answer is C. Rs. 125.

## A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If list price is Rs125, then cost price of shirt is?

A. 87
B. 80
C. 75
D. None of these

Let’s break down the problem step by step:

1. The shopkeeper earns a 15% profit on the shirt.
2. The shopkeeper offers a 31% discount on the list price.

First, let’s find out the selling price (SP) after applying the discount: Discount = 31% of the list price = 0.31 * 125 = Rs 38.75 So, the selling price after the discount = List price – Discount = Rs 125 – Rs 38.75 = Rs 86.25

Now, we know that the shopkeeper earns a 15% profit on the selling price. Let’s represent the cost price (CP) as x.

The selling price (SP) after profit = Cost price (CP) + Profit So, SP = CP + 15% of CP = CP + 0.15 * CP = 1.15 * CP

Given that SP = Rs 86.25, we can write the equation as: 1.15 * CP = 86.25

Now, we can solve for the cost price (CP): CP = 86.25 / 1.15 = Rs 75

So, the cost price of the shirt is Rs 75.

Therefore, the correct answer is C. 75.

## How many numbers up to 450 are divisible by 4, 6 and 8 together?

A. 19
B. 18
C. 17
D. None of these

To find the numbers up to 450 that are divisible by 4, 6, and 8 together, we need to find the numbers that are divisible by the least common multiple (LCM) of 4, 6, and 8.

The LCM of 4, 6, and 8 is the smallest number that is divisible by all three numbers, which can be found by calculating the prime factorization of each number:

• 4 = 2^2
• 6 = 2 * 3
• 8 = 2^3

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 = 24.

So, any number that is divisible by 24 is also divisible by 4, 6, and 8.

Now, to find how many numbers up to 450 are divisible by 24, we divide 450 by 24:

450 ÷ 24 = 18 with a remainder of 18.

So, there are 18 whole multiples of 24 up to 450.

Therefore, the correct answer is B. 18.

## 3 candidates participated in election and received 11628,1136 and 7636 votes. Calculate the percentage of the total votes that the winning candidate got ?

A. 70%
B. 59%
C. 57%
D. 62%

### Solution

The total number of votes cast in the election is:

11628 + 1136 + 7636 = 20400

The percentage of the total votes that candidate A got is:

(11628/20400) x 100% ≈ 57.06%

Therefore, the answer is (C) 57%.

## A number (85%) is added to 24, the answer is the same, Select that number from the list given below.

A. 190
B. 180
C. 170
D. 160

### Solution

Let’s represent the unknown number as “x”.

According to the problem statement, adding 85% of “x” to 24 is the same as “x”. Mathematically, we can write this as:

x = x + 0.85x + 24

Simplifying the equation, we get:

0.15x = 24

x = 24/0.15 = 160

Therefore, the answer is (D) 160.

## 10 shoes are placed at somewhere in room. What is probability that a pair of shoes will always be together:

A. 8/10
B. 2/5
C. 1/5
D. 9/10

### Solution

Let’s assume that the 10 shoes are distinguishable, i.e., we can tell them apart from one another.

We can arrange the 10 shoes in 10! (10 factorial) ways. However, for a pair of shoes to be together, we can treat the pair as a single entity, which means that we have 9 objects to arrange. We can arrange these 9 objects in 9! ways. Additionally, we can arrange the pair of shoes within themselves in 2! ways. Therefore, the total number of ways to arrange the 10 shoes such that the pair is together is:

9! × 2!

The total number of ways to arrange the 10 shoes without any restrictions is simply 10!.

Therefore, the probability that a pair of shoes will always be together is:

(9! × 2!) / 10!

Simplifying this expression, we get:

(9! × 2!) / (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 2 / 5

Therefore, the answer is option B – 2/5.

## A number (60%) is added to 120, the answer is the same, Select the number from the options given below.

A. 400
B. 300
C. 250
D. 180

### Solution

Let’s assume the number is x.

According to the problem, if we add 60% of x to 120, we get x again. This can be expressed as the following equation:

120 + 0.6x = x

Simplifying this equation, we get:

0.4x = 120

x = 120 / 0.4

x = 300

Therefore, the number is 300, and the answer is option B.

## Umar can easily complete work in just 20 days. Suppose if Ali is 25% more intelligent and efficient than Umar, Then Ali will take how many days to complete that work?

A. 16
B. 12
C. 13
D. 19

### Solution

If Umar can complete a work in 20 days, then Umar’s efficiency can be expressed as 1/20 (i.e., 1 work done in 20 days).

If Ali is 25% more intelligent and efficient than Umar, then Ali’s efficiency would be:

Ali’s efficiency = Umar’s efficiency + 25% of Umar’s efficiency Ali’s efficiency = 1/20 + 25% of 1/20 Ali’s efficiency = 1/20 + 1/80 Ali’s efficiency = 5/80 Ali’s efficiency = 1/16 (i.e., 1 work done in 16 days)

Therefore, Ali can complete the same work in 16 days.

## Suppose Aslam got 10% profit while selling one goat and got 10% loss while selling other goat, the price of both goats were same then he _____?

A. got a loss of 1%
B. got no profit and loss
C. got a loss of 3%
D. got a profit of 1%

Correct Answer: A. got a loss of 1%

### Solution

Let’s assume that the cost price of each goat was Rs. 100.

On one goat, Aslam made a 10% profit, so the selling price of this goat would be:

Selling price = cost price + 10% of cost price Selling price = 100 + 10% of 100 Selling price = 100 + 10 Selling price = 110

On the other goat, Aslam made a 10% loss, so the selling price of this goat would be:

Selling price = cost price – 10% of cost price Selling price = 100 – 10% of 100 Selling price = 100 – 10 Selling price = 90

Since both goats were sold for the same overall price, the average selling price of each goat would be:

Average selling price = (110 + 90) / 2 Average selling price = 100

Now, let’s calculate the overall profit or loss:

Total cost price = 100 + 100 = 200 Total selling price = 100 + 100 = 200

Profit or loss percentage = (Total selling price – Total cost price) / Total cost price * 100 Profit or loss percentage = (200 – 200) / 200 * 100 Profit or loss percentage = 0%

As we can see, the overall profit or loss is 0%, which means that Aslam did not make any profit or loss overall. However, since the selling price of one goat was more than the cost price, and the selling price of the other goat was less than the cost price, the profit on one goat was offset by the loss on the other goat. Therefore, the answer is option A – Aslam got a loss of 1%.

## 40% is subtracted from 60% of any number, and the answer is 50, Select that number from the list given below?

A. 200
B. 220
C. 250
D. 280

### Solution

Let’s assume that “x” is the number we are trying to find.

According to the problem statement, “40% is subtracted from 60% of any number” translates to:

0.6x – 0.4x = 0.2x

The problem further states that “the answer is 50”, so we can set up the equation:

0.2x = 50

To solve for x, we can divide both sides of the equation by 0.2:

x = 50 / 0.2

x = 250

Therefore, the number we are looking for is 250.