# Aptitude & Logical Reasoning Quiz -17 #### A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Explanation:
C.P. = Rs. (100/122.5 x 392) = Rs. (1000/1225 x 392) = Rs. 320
Profit = Rs. (392 - 320) = Rs. 72.

#### The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

Explanation:
Let the numbers be 37a and 37b.
Then, 37a x 37b = 4107
ab = 3.
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).
Greater number = 111.

#### Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

Explanation:
Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
So, 60x = 2400 or x = 40.
Therefore, The numbers are (3 x 40), (4 x 40) and (5 x 40).
Hence, required H.C.F. = 40.

#### Choose the word which is different from the rest.

Explanation:
All except Veil cover the head, while veil covers the face.

#### Find out missing term: 125,80,45,20, ….?

Explanation:
The pattern is - 45, - 35, - 25, ….
So, missing term = 20 - 15 = 5