<![CDATA[Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler]]>Number of Questions - 100
Topic - Number Theory
Answer Key Available ? : Yes
Source : Learningroots forum
]]>https://www.mbatious.com/topic/884/question-bank-number-theory-shashank-prabhu-cat-100-percentilerRSS for NodeWed, 08 Jul 2020 05:23:10 GMTWed, 27 Sep 2017 05:00:12 GMT60<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 06 Apr 2018 11:37:27 GMT]]>Number of Questions - 100
Topic - Number Theory
Answer Key Available ? : Yes
Source : Learningroots forum
]]>https://www.mbatious.com/post/4544https://www.mbatious.com/post/4544Fri, 06 Apr 2018 11:37:27 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 22 Sep 2017 09:24:47 GMT]]>Q 6) The sum of squares of first 15 positive integers is 1240. What is the sum of squares of the next 15 positive integers (16^2 + 17^2 + ... + 30^2) a. 2480 b. 3490 c. 6785 d. 8215 e. 9255

[OA: Option d]

]]>https://www.mbatious.com/post/703https://www.mbatious.com/post/703Fri, 22 Sep 2017 09:24:47 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 22 Sep 2017 09:30:20 GMT]]>Q 8) How many natural numbers are factors of 7560 and multiples of 14? a) 20 b) 22 c) 24 d) 28

[OA: Option c]

]]>https://www.mbatious.com/post/705https://www.mbatious.com/post/705Fri, 22 Sep 2017 09:30:20 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 22 Sep 2017 09:31:01 GMT]]>Q 9) Which of the following numbers is a perfect square? a) 64! × 65! b) 124! × 125! c) 120! × 121! d) 121! × 122!

[OA: Option c]

]]>https://www.mbatious.com/post/706https://www.mbatious.com/post/706Fri, 22 Sep 2017 09:31:01 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 22 Sep 2017 09:35:58 GMT]]>Q 10) If first 23 terms of the series 1, 11, 111, .. are added together, what digit would occupy the thousands place? a) 3 b) 0 c) 9 d) 2

[OA: Option d]

]]>https://www.mbatious.com/post/707https://www.mbatious.com/post/707Fri, 22 Sep 2017 09:35:58 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 02 Jun 2017 03:47:08 GMT]]>Q14) How many positive integers 'n' can we form using the digits 3, 4, 4, 5, 6, 6, 7 if we want 'n' to exceed 6,000,000?
Note that any repetition except for the ones mentioned explicitly in the question is not allowed.
]]>https://www.mbatious.com/post/1369https://www.mbatious.com/post/1369Fri, 02 Jun 2017 03:47:08 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 02 Jun 2017 03:48:39 GMT]]>Q15) If you place 9 in the left-hand side of a five-digit number, you get a six-digit number. This six-digit number is four times the six-digit number that you get when you put 9 in right-hand side of the original five-digit number. What is the sum of the digits of the five-digit number? All the digits are distinct.
a. 18
b. 27
c. 17
d. Data insufficient
]]>https://www.mbatious.com/post/1370https://www.mbatious.com/post/1370Fri, 02 Jun 2017 03:48:39 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 02 Jun 2017 03:48:58 GMT]]>Q16) The auto fare in La La Land has the following formula based upon the meter reading. The meter reading is rounded up to the next higher multiple of 4. For instance, if the meter reading is 37 paise, it is rounded up to 40 paise. The resultant is multiplied by 12. The final result is rounded up to the nearest multiple of 25 paise. If 53 paise is the meter reading, what will be the actual fare?
a. Rs. 6.75
b. Rs. 6.50
c. Rs. 6.25
d. Rs. 7.50
]]>https://www.mbatious.com/post/1371https://www.mbatious.com/post/1371Fri, 02 Jun 2017 03:48:58 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Tue, 01 Aug 2017 10:03:26 GMT]]>Q40) Let D be a recurring decimal of the form D=0.a1 a2 a1 a2...., where digits a1 and a2 lie between 0 and 9. Further, at most one of them is zero. Which of the following numbers necessarily produces an integer, when multiplied by D?
a) 18
b) 108
c) 198
d) 288
e) 158
]]>https://www.mbatious.com/post/3439https://www.mbatious.com/post/3439Tue, 01 Aug 2017 10:03:26 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Tue, 08 Aug 2017 05:25:05 GMT]]>Q49) Which of the following divides 144^2 + 169^2 + 144*169?
a. 157
b. 144
c. 313
d. None of these
]]>https://www.mbatious.com/post/3554https://www.mbatious.com/post/3554Tue, 08 Aug 2017 05:25:05 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Wed, 09 Aug 2017 04:32:49 GMT]]>Q53) In a certain number system, the product of 51 and 22 is 1452. The number 1231 in this number system when converted to the decimal system becomes?
]]>https://www.mbatious.com/post/3578https://www.mbatious.com/post/3578Wed, 09 Aug 2017 04:32:49 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Wed, 09 Aug 2017 04:34:49 GMT]]>Q57) If a = sqrt(3) + 1, then the value of a^4 - 6a^2 + 8a is
a. 12a - 3
b. 12a
c. 4a
d. 8a - 3
]]>https://www.mbatious.com/post/3582https://www.mbatious.com/post/3582Wed, 09 Aug 2017 04:34:49 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Wed, 09 Aug 2017 04:35:03 GMT]]>Q58) If the eight-digit number N = 76542a3b is divisible by 18, find the number of possible values of N.
]]>https://www.mbatious.com/post/3583https://www.mbatious.com/post/3583Wed, 09 Aug 2017 04:35:03 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 17 Aug 2017 04:20:53 GMT]]>Q66) If N = 1! - 2! + 3! - 4! + 5! ... + 47! - 48! + 49! then what is the unit's place digit of N^N?
]]>https://www.mbatious.com/post/3712https://www.mbatious.com/post/3712Thu, 17 Aug 2017 04:20:53 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 18 Aug 2017 04:30:33 GMT]]>Q67) Two different two digit numbers are written beside each other to form a 4 digit number such that the smaller number is to the right. The difference between these two numbers when subtracted from the 4 digit number so formed is 5481. What is the sum of the two 2 digit numbers?
]]>https://www.mbatious.com/post/3717https://www.mbatious.com/post/3717Fri, 18 Aug 2017 04:30:33 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 18 Aug 2017 04:31:31 GMT]]>Q70) Given that 1/(2!17!) + 1/(3!16!) + 1/(4!15!) + 1/(5!14!) + 1/(6!13!) + 1/(7!12!) + 1/(8!11!) + 1/(9!10!) = N /(1!18!)
Find the greatest integer that is less than N/100. (in numerical value)
]]>https://www.mbatious.com/post/3720https://www.mbatious.com/post/3720Fri, 18 Aug 2017 04:31:31 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 18 Aug 2017 04:32:49 GMT]]>Q72) How many natural numbers exist which divide at least one among 28^12, 18^8 and 21^6?
]]>https://www.mbatious.com/post/3722https://www.mbatious.com/post/3722Fri, 18 Aug 2017 04:32:49 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 24 Aug 2017 11:40:38 GMT]]>Q73) All the two-digit natural numbers whose unit digit is greater than their ten’s digit are selected. If all these numbers are written one after the other in a series, how many digits are there in the resulting number?
]]>https://www.mbatious.com/post/3754https://www.mbatious.com/post/3754Thu, 24 Aug 2017 11:40:38 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 24 Aug 2017 11:40:58 GMT]]>Q74) The set X consists of m consecutive integers such that their sum is 2m. The set Y consists of 2m consecutive integers such that their sum is m. The difference between the largest elements of X and Y is 9. What is the value of m?
a) 17
b) 36
c) 9
d) 21
]]>https://www.mbatious.com/post/3755https://www.mbatious.com/post/3755Thu, 24 Aug 2017 11:40:58 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 24 Aug 2017 12:21:59 GMT]]>Q80) How many natural numbers less than 10000 are present such that the sum of the digits of any such number is 33 and the number is divisible by 6?
]]>https://www.mbatious.com/post/3764https://www.mbatious.com/post/3764Thu, 24 Aug 2017 12:21:59 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 24 Aug 2017 13:04:54 GMT]]>Q84) a and b are two positive numbers such that their sum is less than their product. The product of these two numbers would always be more than?
]]>https://www.mbatious.com/post/3768https://www.mbatious.com/post/3768Thu, 24 Aug 2017 13:04:54 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Fri, 25 Aug 2017 06:09:38 GMT]]>Q89) The largest possible number divides four numbers, 5688, 6552, 7848 and 8712 to leave the same remainder in each case. What is the remainder?
]]>https://www.mbatious.com/post/3774https://www.mbatious.com/post/3774Fri, 25 Aug 2017 06:09:38 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Mon, 28 Aug 2017 13:22:00 GMT]]>Q92) How many numbers less than 1000 have their sum of digits as 12?
]]>https://www.mbatious.com/post/3810https://www.mbatious.com/post/3810Mon, 28 Aug 2017 13:22:00 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Thu, 08 Feb 2018 06:06:30 GMT]]>Q100) What is the remainder when the sum of all the terms in the 1024th row of the pascal triangle is divided by 1000.
]]>https://www.mbatious.com/post/3820https://www.mbatious.com/post/3820Thu, 08 Feb 2018 06:06:30 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Tue, 05 Sep 2017 05:27:41 GMT]]>Q4) How many numbers greater than 13000 can be formed using the digits 5, 0, 8, 1 and 7 such that each digit is used exactly once?
[OA: 90]
]]>https://www.mbatious.com/post/3837https://www.mbatious.com/post/3837Tue, 05 Sep 2017 05:27:41 GMT<![CDATA[Reply to Question Bank - Number Theory - Shashank Prabhu, CAT 100 Percentiler on Tue, 05 Sep 2017 06:10:41 GMT]]>Q20) The sum of a two-digit number and the number formed by interchanging the two digits is 45 more than twice the original number. If the sum of the digits of the number is 9, what is the original number?
[OA: 27]
]]>https://www.mbatious.com/post/3863https://www.mbatious.com/post/3863Tue, 05 Sep 2017 06:10:41 GMT