Arithmetical Reasoning Questions

It is given that the first digit is 1/3 of the second. There are 3 such possibilities

1)1 and 3
2)2 and 6
3)3 and 9
Now, the third digit is the sum of the first and second digits.
1)1 + 3 = 4
2)2 + 6 = 8
3)3 + 9 = 12
It is clear that option 3 is not possible. So we are left with only two options. Also, the last digit is three times the second, which rules out the second option.

Hence, the answer is 1349.

Absolute value of a number :

It means that the distance of a number from 0 on a number line. 

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

Hence, the absolute value of 9 is 9.

Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points. 

The product of a number and its reciprocal is always equals to 1.

For Example : Let the number be 4.

Now, its reciprocal is 1/4

Hence, required product = 4 x 1/4 = 1.

Now, take the number as -15.

Then its reciprocal is -1/15

Required product = -15 x -1/15 = 1.

Hence, the product of a number and its reciprocal is 1.

6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.

Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.

The given statement about similar triangles is TRUE.

Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.

1 Gallon = 3.785 kgs

Gallon is a unit of measurement of liquid.

We know that 1 gallon = 3.785 liters

But we know that,

1 cubic meter = 1000 lit or 1000 kgs

=> 1 lit = 1 kg

Hence,  1 gallon = 3.785 lit = 3.785 kgs.