14. Day 14 (Number System 03) (51 Days 51 Marathon).pdf

Join Telegram- Maths by Aditya ranjan Youtube:- Rankers' Gurukul 1. Find the unit digit of the product 127 × Which of the above statements is/are 137 × 413 × 291 × 342 × 533 × 342. co...

Join Telegram- Maths by Aditya ranjan Youtube:- Rankers' Gurukul 1. Find the unit digit of the product 127 × Which of the above statements is/are 137 × 413 × 291 × 342 × 533 × 342. correct? 127 × 137 × 413 × 291 × 342 × 533 × 342 mijksÙkQ sa ls e dkSu lk@ls dFku lgh gS@gSa\ ds xq.kui Qy dk bdkbZ LFkku Kkr dhft,A (a) 1 only (b) 2 only an (a) 6 (b) 8 (c) Both 1 and 2 (d) Neither 1 nor 2 (c) 10 (d) 4 7. Consider the number N = 126 × 38 × 53. 2. What are the last two digits of 56 283 × la[;k N = 126 × 38 × 53 ij fopkj djs aA a m nj 141283 × 125254. Which of the following statements is/are 56 283 × 141 283 × 125 254 d s vfUre nks vad correct? ty ra ra D;k gS\ fuEufyf r esa ls dkSu lk@ls dFku lgh gS@gSa\ (a) 25 (b) 10 1. The number of odd factors of N is 60. (c) 01 di g (d) 0 N ds fo"kexq.ku.Mksa dh la[;k 60 gSA 3. Find the unit's digit in (263)149 + (263)150 + A le 2. The number of even factors of N is 720. (263)151. N ds le xq.ku aMksa dh la[;k 720 gSA (263)149 + (263)150 + (263)151 esabdkbZ dk vad e Kkr djsaA Select the correct answer using the code by T given below : SSC GD 25/11/2021 (Shift-02) (a) 3 (b) 9 uhps fn, x, dksM dk mi;ksx djds lgh mÙkj pqusa% n (c) 7 (d) 1 [CDS - 2022 (II)] (a) Only 1 (b) Only 2 h s oi 4. What is the unit digit in the expansion of (57242)9 × 7 × 5 × 3 × 1 ? (c) Both 1 and 2 (d) Neither 1 nor 2 (57242)9 × 7 × 5 × 3 × 1 d s izlkj esa bdkbZ dk vad D;k gS\ 8. Which type of numbers are NOT co-prime? at J UPSC CSE 28/05/2023 (CSAT) fdl çdkj dh la[;k,¡ lg&vHkkT; ugha gSa\ (a) 2 (b) 4 SSC GD 31/01/2023 (Shift-03) (c) 6 (d) 8 (a) Any two prime numbers 5. Find the number of factors in 1540. dksbZ nks vHkkT; la[;k,¡ 1540 esa xq.ku aMksa dh la[;k Kkr dhft,A (b) Any two consecutive odd numbers (a) 20 (b) 24 dksbZ Hkh nks yxkrkj fo"ke la[;k,¡ (c) Any two consecutive numbers M (c) 22 (d) 23 6. Consider the following statements in dksbZ Hkh nks yxkrkj la[;k,¡ respect of all factors of 360: (d) Any two consecutive even numbers dksbZ Hkh nks yxkrkj le la[;k,¡ 360 ds lHkh xq.ku[kaMksa ds lanHkZ esa fuEufyf[kr dFkuksa ij fopkj dhft,% 9. Which of the following pairs of numbers are 1. The number of factors is 24. relatively prime? xq.ku[k aMksa dh la[;k 24 gSA fuEufyf r esa ls la[;kvksa dk dkSu lk ;qXe lg&vHkkT; gS\ 2. The sum of all factors is 1170. SSC GD 24/01/2023 (Shift-02) lHkhxq.ku[kaMksa dk ;ksxiQy 1170 gSA (a) 24 and 38 (b) 24 and 92 [CDS - 2023 (I)] (c) 39 and 68 (d) 24 and 68 TO ENROLL TOPPER CHOICE " MATHS VOD BATCH" DOWNLOAD "RG VIKRAMJEET" APP Join Telegram- Maths by Aditya ranjan Youtube:- Rankers' Gurukul 10. What is the number of digits required for 9 dks 99 ckj fy[k dj dksbZ la[;kN cukbZ tkrh gSA numbering a book with 428 pages? ;fn N dkas13 ls foHkkftr fd;k tk,] rks 'ks"kiQy 428 i`"Bksa okyh ,d iqLrd dks Øekafdr djus ds fy, D;k gksxk\ vko';d vadksa dh la[;k D;k gS\ UPSC CSE 28/05/2023 (CSAT) SSC CHSL 02/07/2024 (Shift - 04) (a) 11 (b) 9 (a) 1176 (b) 1500 (c) 7 (d) 1 (c) 2000 (d) 988 16. Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the 11. What is the sum of all digits which appear digits of the resulting number? in all the integers from 10 to 100? 9 vadksa dh fdlh la[;k dk izR;sd vad 1 gSA bl 10 ls 100 rd fy[ks tkus okys lHkh iw.kkZadksa esa vkus la[;k dks blh la[;k ls xq.kk fd;k tkrk gSA ifj.kkeh an okys lHkh vadksa dk ;ksxiQy D;k gS\ la[;k ds vadksa dk ;ksxiQy D;k gS\ UPSC CSE 28/05/2023 (CSAT) UPSC CSE 28/05/2023 (CSAT) a m (a) 855 (b) 856 nj (a) 64 (b) 80 (c) 910 (d) 911 (c) 81 (d) 100 ty ra ra 12. What is the number of fives used in 17. How many numbers between 100 and 1000 numbering a 260-page book? are divisible by 17? 260 i`"Bksa dh ,d iqLrd dks la[;kafdr djus ds fy, di g 100 vkSj 1000 ds chp fdruh la[;k,¡ 17 ls ç;qÙkQ gksus okys vad ik¡p dh la[;k fdruh gS\ foHkkT; gSa\ A le UPSC CSE 16/06/2024 (CSAT) SSC CHSL 01/06/2022 (Shift- 1) (a) 55 (b) 56 (a) 51 (b) 53 e (c) 57 (d) 60 (c) 52 (d) 54 by T 13. The sum of two-digit number and the 18. How many numbers between 800 and 2000 number obtained by interchanging the digit are divisible by 13? n is 77. If the difference of digits is 1, then the number is: 800 vkSj 2000 ds chp fdruh la[;k,¡ 13 ls foHkkT; gS\ h s oi CHSL 2019 19/10/2020 (Shift- 01) nksvadksa dh la[;k vkSj vadksa dks vkil esa cnyus ls (a) 90 (b) 92 çkIr la[;k dk ;ksx 77 gSA ;fn vadksa dk varj 1 gS] at J (c) 91 (d) 93 rks la[;k gS% 19. Ramu had to select a list of numbers SSC CHSL 05/07/2024 (Shift - 02) between 1 and 1000 (including both) which (a) 67 (b) 45 are divisible by both 2 and 7. How many such numbers are there? (c) 35 (d) 12 14. The sum of the digits of a two-digit number jkew 1 vkSj 1000 (nksuksa lfgr) ds chp dh la[;kvksa is 9. The number obtained by dh ,d lwph dk p;u djuk Fkk] tks 2 vkSj 7 interchanging its digits exceeds the given nksuksa ls foHkkT; gSA ,slh fdruh la[;k,a¡ gSa\ M number by 45, then the original number is: SSC CPO 11/11/2022 (Shift-01) nksvadksa okyh ,d la[;k ds vadksa dk ;ksx 9 gSA (a) 142 (b) 71 blds vadksa dks vkil esa cnyus ij çkIr la[;k nh (c) 97 (d) 642 xbZ la[;k ls 45 vf/d gS] rks ewy la[;k D;k gS\ 20. How many numbers between 300 and 700 SSC CHSL 11/07/2024 (Shift - 02) are divisible by 5, 6 and 8? (a) 18 (b) 27 500 vkSj 700 ds chp fdruh la[;k 5] 6 vkSj 8 ls (c) 36 (d) 54 foHkkT; gSa\ CPO 2019 25/11/2020 (Shift- 02) 15. A number N is formed by writting 9 for 99 times. What is the remainder if N is divided (a) 20 (b) 2 by 13? (c) 5 (d) 3 TO ENROLL TOPPER CHOICE " MATHS VOD BATCH" DOWNLOAD "RG VIKRAMJEET" APP Join Telegram- Maths by Aditya ranjan Youtube:- Rankers' Gurukul ANSWER KEY 1.(d) 2.(d) 3.(b) 4.(a) 5.(b) 6.(c) 7.(c) 8.(d) 9.(c) 10.(a) 11.(b) 12.(b) 13.(c) 14.(b) 15.(a) 16.(c) 17.(b) 18.(b) 19.(b) 20.(d ) an a m nj ty ra ra di g A le e by T n h s oi at J M TO ENROLL TOPPER CHOICE " MATHS VOD BATCH" DOWNLOAD "RG VIKRAMJEET" APP