Number System : Number System
Ques. 1 : Find the greatest four-digit number which is a multiple of 12. : Ques. 1 : Find the greatest four-digit number which is a multiple of 12.
Slide 3 : Answer is 9996.
Ques. 2 : Find the smallest 6-digit number which is a multiple of 17. : Ques. 2 : Find the smallest 6-digit number which is a multiple of 17.
Slide 5 : Answer is 100011.
Ques. 3 : A certain no. is divided by 552 & 28 was obtained as remainder, what would be the remainder if same no. is divided by 23? (CAT 1998) : Ques. 3 : A certain no. is divided by 552 & 28 was obtained as remainder, what would be the remainder if same no. is divided by 23? (CAT 1998)
Slide 7 : Answer is 5.
Note : In case the second divisor is not a factor of the 1st divisor, then you can not solve this question. : Note : In case the second divisor is not a factor of the 1st divisor, then you can not solve this question.
Then there are some important formulas :n : n(n+1)/2 Where n = Sum of first n natural numbers. : Then there are some important formulas :n : n(n+1)/2 Where n = Sum of first n natural numbers.
Ques. 4 : Find the sum of first 15 natural no. : Ques. 4 : Find the sum of first 15 natural no.
Slide 11 : Answer is 120.
Ques 5 : In a party there are 30 persons present, & everybody shakes hand with all the other persons. What is the total no. of handshakes happening? (CAT 1996) : Ques 5 : In a party there are 30 persons present, & everybody shakes hand with all the other persons. What is the total no. of handshakes happening? (CAT 1996)
Slide 13 : Answer is 435.
Ques. 6 : The sum of two no. is 28. What could be the max. possible product of those 2 no. ? : Ques. 6 : The sum of two no. is 28. What could be the max. possible product of those 2 no. ?
Slide 15 : Answer is 196.
Ques. 7 : A gardener planted trees exactly in rows & columns, so that no. of rows is 2 more than the no. of columns. If the total of rows & columns is 98, find the no. of trees planted. (CAT 1994) : Ques. 7 : A gardener planted trees exactly in rows & columns, so that no. of rows is 2 more than the no. of columns. If the total of rows & columns is 98, find the no. of trees planted. (CAT 1994)
Slide 17 : Answer is 2400.
HCF & LCM : HCF & LCM
Learning Objectives : Learning Objectives 1. Find the HCF & LCM.
2. Dealing with Remainder Questions of HCF & LCM.
3. Application of HCF & LCM in practical questions.
4. Some Actual CAT questions.
Ques. 1 : Find the HCF of 144 & 768. : Ques. 1 : Find the HCF of 144 & 768.
Slide 21 : Answer is 48
Ques. 2 : Find the HCF of 24, 72 & 112? : Ques. 2 : Find the HCF of 24, 72 & 112?
Slide 23 : Answer is 8.
Ques. 3 : Find the greatest no. which when divides 634 and 1454 leaves the remainders 4 & 5 respectively. : Ques. 3 : Find the greatest no. which when divides 634 and 1454 leaves the remainders 4 & 5 respectively.
Slide 25 : Answer is 63.
Ques. 4 : Find the LCM of 8, 12, 36 and 40. : Ques. 4 : Find the LCM of 8, 12, 36 and 40.
Slide 27 : Answer is 360
Ques. 5 : Find the least no. which when divided by 4, 8, 12, 16, 20, 48 and 80 will leave in each case remainder 3. : Ques. 5 : Find the least no. which when divided by 4, 8, 12, 16, 20, 48 and 80 will leave in each case remainder 3.
Slide 29 : 483 is the answer .
Answer is 243.
Ques. 6 : Find the smallest number, which when divided by 8, 12, 24 & 36, gives a remainder of 5, 9, 21 and 33 respectively. 1. 75 2. 69 3. 141 4.147 : Ques. 6 : Find the smallest number, which when divided by 8, 12, 24 & 36, gives a remainder of 5, 9, 21 and 33 respectively. 1. 75 2. 69 3. 141 4.147
Slide 31 : Answer is option 2
Ques. 7 : Find the LCM and HCF of 2/3 and 6/7. : Ques. 7 : Find the LCM and HCF of 2/3 and 6/7.
Slide 33 : LCM is 6.
HCF is 2/21.
Ques. 8: The name of ‘M F S’ is displayed at a junction using blinking lights. The words glow after 2½, 4 ¼ & 5 1/8 sec. for 1 sec. after starting together. After how much time will the entire display glow? (CAT 2002)? 1. 49.5 sec. 2. 73.5 sec. 3. 1744.5 4. 855 sec. : Ques. 8: The name of ‘M F S’ is displayed at a junction using blinking lights. The words glow after 2½, 4 ¼ & 5 1/8 sec. for 1 sec. after starting together. After how much time will the entire display glow? (CAT 2002)? 1. 49.5 sec. 2. 73.5 sec. 3. 1744.5 4. 855 sec.
Slide 35 : Answer is
2nd option.
Ques. 9 : 3 pieces of cakes of 4½, 6¾, 7 1/5 weights are to be divided into equal parts. Each part must be as heavy as possible. If one such part is served to each guest, then what is the minimum no. of guests that could be served (CAT 2002)? 1. 54 2. 72 3. 20 4. None of these : Ques. 9 : 3 pieces of cakes of 4½, 6¾, 7 1/5 weights are to be divided into equal parts. Each part must be as heavy as possible. If one such part is served to each guest, then what is the minimum no. of guests that could be served (CAT 2002)? 1. 54 2. 72 3. 20 4. None of these
Slide 37 : Answer is 4th option(41).
Slide 38 : THANK YOU