TANCET, XAT, CAT Sample Problems : September 2003

1. September 01, 2003 ›  If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius? Solution »
   
   
2. September 02, 2003 ›  When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3? Solution »
   
   
3. September 03, 2003 : Number Properties ›  Ram and Shyam take a vacation at their grandparents' house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents' house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation? Solution »
   
   
4. September 04, 2003 ›  How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant? Solution »
   
   
5. September 05, 2003 : Stocks & Shares ›  Ram buys Rs.100 shares at Rs.112. If he sells the shares after a year at Rs.132 after receiving a dividend of 8% just before selling, what is the net yield on his investment? Solution »
   
   
6. September 08, 2003 ›  If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM? Solution »
   
   
7. September 09, 2003 ›  A can give B a start of 50 metres or 10 seconds in a kilometer race. How long does A take to complete the race? Solution »
   
   
8. September 10, 2003 ›  Is the smallest of five consecutive integers even?
   
   A. The product of the five integers is 0
   
   B. The arithmetic mean of the five integers is 0.
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9. September 11, 2003 : Quadratic Equation ›  For what value of m will the roots of the quadratic equation x² + mx + 4 = 0 have real and equal roots? Solution »
   
   
10. September 12, 2003 ›  What is the measure of in radius of the triangle whose sides are 24, 7 and 25? Solution »
    
    
11. September 30, 2003 ›  The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel? Solution »
    
    

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