# Samtel Placement: Sample Questions 1 - 5 of 6

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## Question 1

Edit

### Write in Short

x = y = 2z, x × y × z = 256, find x.

### Explanation

Here, and

Substituting the values of x and y in terms of z,

So, value of x will be 8.

## Question 2

Edit

### Write in Short

Two no. on multiplication gives 10, when added gives 7. What is the larger of the two number? (2004)

### Explanation

• let՚s take two variables x and y.
• Multiplication of these two variables is 10 i.e.. xy = 10 and addition of two variables is 7 i.e.. x + y = 7.
• Taking the square of
• Substituting the value of xy in the equation, (

• Accordingly, x = 2 or x = 5
• So, the larger number between 5 and 2 is 5.

## Question 3

Edit

### Write in Short

x/3 = y/z then 9Y2 = ? (2004)

### Explanation

Here

Here, 9y2 is asked. So, we need to square both the sides of above equation.

So,

find

## Question 5

Edit

### Write in Short

Distance between a, b is 60 miles, c is 50 miles from both. Find shortest distance between c and the highway connecting a b. (2004)

### Explanation

• Here, distance between a and b is 60 miles and c is 50 miles from both.
• As c is at the same distance from a and b both, it will be on the line passing through the middle point of a and b. So, we can consider the following figure to know the exact geometry. Drawing Projection (Which Will be the Shortest Distance) from Point C on Line Ab We Can Divide It into Two Equal Parts I.e.. . 30 Miles. The Projection is at the Right Angle on Highway Ab So It Generates Two Right Angle Triangles There
• Considering cda, measure of angle cda is 900.
• Applying Pythagoras theorem,

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• Therefore, shortest distance between c and highway joining a and b will be 40 miles.

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