sainik - RMS- Navodaya entrance revison test

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1. The largest number which divides 235 and 214 leaving remainder 4 and 5 respectively is .
2. The greatest number which divides 303, 374 and 865 leaving remainder 9, 10 and 11 respectively
3. The two numbers nearest to 4000 which are exactly divisible by 2, 9, 4, 5 are  _____and ___
4. Two brands of chocolates are available in packs of 72 and 40 respectively. If Pranav wants to buy equal number of chocolates of each brands, then the least number of boxes of each chocolate brand that he needs to buy are  and  respectively. 
5. Find the highest common factor (HCF) of 120 and 232
6. A lighthouse has two lights-one that flashes every 5 minutes, and another that flashes every  
2
1
2
minutes. Suppose the lights flash together at noon. What is the first time after 2 pm that they will flash together again?
7. . 4 bells ring at intervals of 81, 81, 18, 30 seconds respectively. If the bells ring together at 4 O'clock, they will ring together again at time ::. The number of times they will ring together in 351 minutes will be .
8. Find the Least Common Multiple (LCM) of following:
LCM of 10, 60, 25 is 
 .
9. Iqbal saves Rs.20.55 every day. The minimum number of days in which he will be able to save an exact amount of Rupees is  .
10. The two numbers nearest to 90000 which are exactly divisible by 9, 6, 2, 4, 7 are  and  .










Answer
1. The largest number which divides 235 and 214 leaving remainder 4 and 5 respectively is .
2. The greatest number which divides 303, 374 and 865 leaving remainder 9, 10 and 11 respectively is .
3. The two numbers nearest to 4000 which are exactly divisible by 2, 9, 4, 5 are   . 3960  & 4140
4. Two brands of chocolates are available in packs of 72 and 40 respectively. If Pranav wants to buy equal number of chocolates of each brands, then the least number of boxes of each chocolate brand that he needs to buy are  and  respectively.
5. Find the highest common factor (HCF) of 120 and 232    8
6. a. 2:05
7. 4 bells ring at intervals of 81, 81, 18, 30 seconds respectively. If the bells ring together at 4 O'clock, they will ring together again at time ::. The number of times they will ring together in 351 minutes will be .
8. LCM of 10, 60, 25 is  .
9. Iqbal saves Rs.20.55 every day. The minimum number of days in which he will be able to save an exact amount of Rupees is  .
10. The two numbers nearest to 90000 which are exactly divisible by 9, 6, 2, 4, 7 are 89964 and  . 90216


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