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Quantitative Apt

                                                         Preparing For Quantitative Aptitude

This topic is the confirmed topic to be chosen by any aptitude exam and can be mastered with small amount of hard work.Casually to beat Competition one should have clear Knowledge about the Arena where once has to play in.So we should Know what topics we would be dealing with

1.Simple Equation                                                                       1.Quadratic Equations
2.Ratio,Proportion And Variation                                                2.Inequalities
3.Percentages and Profit and Loss                                              3.Special Equation
4.Numbers                                                                                 4.Progression
5.Geometry                                                                                5.Permutation and Combination
6.Time Speed and Distance                                                        6.Probability
7.Time and Work                                                                       7.Number System
8.Average mixtures and Allegations                                             8.Statistics
9.SI-CI                                                                                      9.Trigonometry
10.Indices and Surds                                                                 10.Co-ordinate Geometry
11.Logarithms                                                                            11.Functions

We will Take our Preparation to Next Step By Starting With SIMPLE EQUATION

SIMPLE EQUATIONS 


Q.1.     A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6: 7: 8: 9: 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is

(a) 2                                         (b) 3                                         (c) 4                             (d) 5

Q.2.     A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs.600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?

            (a) Rs.300                                (b) Rs.250                   (c) Rs.400                    (d) Rs.500      

Q.3.     At a certain fast food restaurant, Brian can buy 3 burgers, 7 shakes, and one order of fries for Rs.120 exactly. At the same place it would cost Rs.164.5 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for an ordinary meal of one burgers one shake, and one order of fries?

            (a) Rs.31                      (b) Rs.41                     (c) 21                           (d) cannot be determined       

Q.4.     The owner of an art shop conducts his business in the following manner. Every once in a while he raises his prices by X% , then a while later he reduces all the new prices by X% After one such up-down cycle, the price of a painting decreased by Rs.441. After a second up-down cycle the painting was sold for Rs.1944.81. What was the original price of the painting?

      (a) 2756.25                  (b) 2256.25                  (c) 2500                                   (d) 2000                     
Q.5.     Davji Shop sells samosas in boxes of different sizes. The samosas are priced at Rs.2 per samosa up to 200 samosas . For every additional 20 samosas, the price of the whole lot gores down by 10 paisa per samosa. What should be the maximum size of the box that would maximize the revenue?

            (a) 240                         (b) 300             (c) 400                         (d) None of these

Q.6.     Mayank, Mirza, Little and jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the others boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did jaspal have to pay?

            (a) 15                           (b) 13               (c) 17                           (d) None of these

Q.7.     At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p%  of the goats at the beginning of the year and sold q% of the goats at the end of the year  where P>O and q>O. If Shepard had nine dozen goats at the end of year 2002 after making the sales for that year, which of the following is true

            (a) p=q                         (b) p<q                        (c) p>q                         (d) p=q/2        

Q.8.     A leather factory produces two kinds of bags, standard and deluxe bag. The profit margin is Rs.20 on a standard bag and Rs.30 on a deluxe bag. Every bag must be processed on machine A and on machine B. The processing times per bag on the two machines are as follows.



                                          Time required (Hours/bag)












           
The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans. Which one meets the machine availability constraints and maximizes the profit?

(a) Standard 75 bags, Deluxe 80 bags                        (b) Standard 100 bags. Deluxe 60 bags
(c) Standard 50 bags, Deluxe 100 bags                      (d) Standard 60 bags, Deluxe 90 bags.                      

Q:9 and 10-
A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency baht but other currency is also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange:
US Dollar 1= 41 Bahts, Euro 1= 46 Bahts
The perfume priced at 520 Bahts per bottle. After one bottle is purchased, subsequent bottles are available at a discount of 30%. There friends S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays2 Euros. M pays 4 Euros and 27 Thai baths and S pays the remaining amount in US Dollars.


Q.9.     How much does R owe to S in Thai Baht
           
       (a) 428                                     (b) 416                                     (c) 334                         (d) 324           

Q.10.   How much does M owe to S in US DOLLARS?
           
            (a) 3                                         (b) 4                                         (c) 5                             (d) 6    

 CAT 1998 (NUMBERS)

1. n3 is odd. Which of the following statement(s) is(are) true?
 I. n is odd.  
 II. n2 is odd.
 III. n2 is even.

a. I only 

b. II only
 c. I and II 
d. I and III

2. (BE)2 = MPB, where B, E, M and P are distinct integers. Then M =


a. 2 

b. 3
 c. 9
 d. None of these

3. Five-digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between
the maximum and minimum number that can be formed?


a. 19800

 b. 41976
 c. 32976 
d. None of these

4. A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same
number is divided by 29.


a. 5

 b. 4
 c. 1
 d. Cannot be determined

5. A is the set of positive integers such that when divided by 2, 3, 4, 5, 6 leaves the remainders 1, 2, 3,
4, 5 respectively. How many integers between 0 and 100 belong to set A?


a. 0

 b. 1
 c. 2
 d. None of these

6. How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the
number is divisible by 125?


a. 0

 b. 1 
c. 4 
d. 3

7. What is the digit in the unit’s place of 251?


a. 2

 b. 8
 c. 1
 d. 4

8. A number is formed by writing first 54 natural numbers in front of each other as 12345678910111213
... Find the remainder when this number is divided by 8.


a. 1

 b. 7
 c. 2
 d. 0

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