IPMAT Indore 2022 (MCQ) PYQs

$\dfrac{(a + b)}{(b + c)} = \dfrac{(c + d)}{(d + a)}$ which of the following statements is always true?

Three friends divided some apples in the ratio $3 : 5 : 7$. After consuming 16 apples they found that the remaining number of apples with them was equal to the largest number of apples received by one of them at the beginning. The total number of apples these friends initially had was

Ashok purchased pens and pencils in the ratio $2:3$ during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio $4:1$ and paid Rs. 112. The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is __________.