IRMA Entrance Test '07

Although easy to solve, this section put a premium on calculation.

Type 1: Find the replacement of (?) from the options.

1. 4357 + 6358 � (?) = 4267
   a) 5648
   b) 5248
   c) 5128
   d) 4838
   e) none
   
   This was a straightforward question. By observation alone, one could have inferred that the answer must be greater than 6358 and hence (e) was the correct option.

2. 432.364 + 54.824 � 8 � 17 = (?)
   a) 462.188        
   b) 457.378        
   c) 467.188        
   d) 463.378        
   e) none

This could have been solved within no time by addition and subtraction alone.

3. 6056 + ² = (161)² � (124)²
   a) 4489
   b) 67                
   c) 57                
   d) 3249
   e) none
   
   Instead of trying to solve this, one could have easily checked for the digit sum of LHS and RHS and deduced that (?)^2 had the digit sum as 7, which could have been verified from the answer options.

Type 2: Find the approximate value of the following.

1. 432.67 x 634.46 + 435
   a) 273000         
   b) 175000         
   c) 275000         
   d) 278000         
   e) 293000
   This question had very close options. One could have calculated 43*65 +45.5 to approximate the values; otherwise this question should have been avoided.

2. (142.42)² + 436.67 � 658.657
   a) 21400           
   b) 20500           
   c) 20000           
   d) 19500           
   e) 19400
   A real tough one with answer options that were too close. Should have been left alone.

DI:
One table on production and sale of wheat (in thousand tonnes) of different companies from 2001 � 2005

1. Which company has highest sale over the years?
2. In which year the production of all the companies was minimum?
3. Sale of 2004 is what percentage of production of 2005?

One should have definitely attempted this set because only calculation was required and no additional logic was involved. In other words, a must-do set.

One pie chart on the expenditure of a family on different commodities in terms of angles (total expenditure is given)

1. What is the amount of expenditure in food and education combined?
2. Amount spent on clothing is what percentage of amount spent on rent?

This set had minimal logic incorporated. The only concern could have been the tough calculation. But one should have definitely attempted this set.

Misc. questions:

1. There is a cube of dimension 18 cm x 18cm x 18 cm. How many cubes of dimension 0.9cm x 0.9 cm x 0.9cm can be made from this cube?
2. Numerator and denominator of a fraction are in the ratio 3:7. Numerator is increased by 300% and denominator is decreased by 500% the fraction becomes 11/ 26. What was the original fraction?
3. (?) / 35 = 315/(?). What is the value of (?)?
4. Rs. 5000 is invested by two friends on SI and CI respectively. What is the difference in interests collected by the two friends?
5. Difference in SI & CI on the same amount in three years at 12% p.a. is Rs. 224.64. What was the principal amount?
6. Anita & Aakash started a business investing Rs. 12000 and Rs. 7000 respectively. After 7 months Aakash invested Rs. 2000 more in the business. Total profit after one year was Rs. 2400. What is the share of Anita?

All the miscellaneous questions could have been solved easily without much effort, leading to a good score.

No. Series:

1. 15  14  26  69  260  ___
2. 3  12  25  42  63  ___
3. 108  54  81  202.5  708.75  ___

One could have also looked at attempting these types of pattern-based questions. Few of them were patterns, which could have been easily identified.