{"id":34264,"date":"2019-08-29T18:55:16","date_gmt":"2019-08-29T13:25:16","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=34264"},"modified":"2019-08-29T18:55:16","modified_gmt":"2019-08-29T13:25:16","slug":"number-system-questions-for-rrb-ntpc-set-3-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/number-system-questions-for-rrb-ntpc-set-3-pdf\/","title":{"rendered":"Number System Questions for RRB NTPC Set-3 PDF"},"content":{"rendered":"

Number System Questions for RRB NTPC Set-3 PDF<\/span><\/h2>\n

Download RRB NTPC Number System Questions and Answers set-3 PDF. Top 15 RRB NTPC Number System questions based on asked questions in previous exam papers very important for the Railway NTPC exam.<\/p>\n\n

Download Number System Questions for RRB NTPC Set-3 PDF<\/a><\/p>\n

Take a free mock test for RRB NTPC<\/a><\/p>\n

Download RRB NTPC Previous Papers PDF<\/a><\/p>\n

Question 1:\u00a0<\/b>Find the greatest number that divides 82, 147 and 199 so as to leave the same remainder in each case.<\/p>\n

a)\u00a07<\/p>\n

b)\u00a011<\/p>\n

c)\u00a013<\/p>\n

d)\u00a017<\/p>\n

Question 2:\u00a0<\/b>If on subtracting 32 from a number, the remainder will be 2\/3rd of the number, what will be 25% of the number?<\/p>\n

a)\u00a024<\/p>\n

b)\u00a048<\/p>\n

c)\u00a072<\/p>\n

d)\u00a096<\/p>\n

Question 3:\u00a0<\/b>If one-sixth of $\\frac{3}{8}$ of $\\frac{2}{5}$ of a number is equal to 96 then what will be 10% of the number?<\/p>\n

a)\u00a0284<\/p>\n

b)\u00a0384<\/p>\n

c)\u00a0484<\/p>\n

d)\u00a0684<\/p>\n

Question 4:\u00a0<\/b>Sum of three numbers is 120 and the ratio of first and second number is equal to 4:5. Ratio of second number to third number is 15:13. What is the third number?<\/p>\n

a)\u00a036<\/p>\n

b)\u00a045<\/p>\n

c)\u00a039<\/p>\n

d)\u00a038<\/p>\n

Question 5:\u00a0<\/b>If the sum of the digits of a number is 8 and difference of the digits is 2 then what will be the product of the digits of the number?<\/p>\n

a)\u00a012<\/p>\n

b)\u00a015<\/p>\n

c)\u00a020<\/p>\n

d)\u00a024<\/p>\n

RRB NTPC Previous Papers [Download PDF]<\/a><\/p>\n

FREE RRB NTPC YOUTUBE VIDEOS<\/a><\/p>\n

Question 6:\u00a0<\/b>The difference between a two digit number and the number obtained by interchanging its digit is 54. What is the difference between the digits of the number?<\/p>\n

a)\u00a05<\/p>\n

b)\u00a04<\/p>\n

c)\u00a07<\/p>\n

d)\u00a06<\/p>\n

Question 7:\u00a0<\/b>Find the smallest positive number which on division by 2,7,3 leaves remainder 1,6,2 respectively in each case.<\/p>\n

a)\u00a042<\/p>\n

b)\u00a041<\/p>\n

c)\u00a083<\/p>\n

d)\u00a082<\/p>\n

Question 8:\u00a0<\/b>Find the 3rd smallest positive number which on division by 2,7,5 leaves remainder 1 in each case?<\/p>\n

a)\u00a071<\/p>\n

b)\u00a01<\/p>\n

c)\u00a0211<\/p>\n

d)\u00a0141<\/p>\n

Question 9:\u00a0<\/b>If the number on division by 3, 5, 6 and 8 leaves the remainder 1, 3, 4, 6 respectively, then find the 2nd smallest positive number of such a series?<\/p>\n

a)\u00a0358<\/p>\n

b)\u00a0235<\/p>\n

c)\u00a0238<\/p>\n

d)\u00a0240<\/p>\n

Question 10:\u00a0<\/b>A number on division by 5,7,10,12 gives remainder 3 in each case. Find the 5th smallest positive number of such a series.<\/p>\n

a)\u00a01683<\/p>\n

b)\u00a02103<\/p>\n

c)\u00a01263<\/p>\n

d)\u00a02523<\/p>\n

RRB NTPC Free Mock Test<\/a><\/p>\n\n

Question 11:\u00a0<\/b>If the number 9a53b25 is divisible by 99, then find the value of a and b respectively.<\/p>\n

a)\u00a02,1<\/p>\n

b)\u00a03,0<\/p>\n

c)\u00a01,2<\/p>\n

d)\u00a00,1<\/p>\n

Question 12:\u00a0<\/b>Find the second smallest positive number which when divided by 5,7,9 leaves remainder 3 in each case?<\/p>\n

a)\u00a03<\/p>\n

b)\u00a0315<\/p>\n

c)\u00a0317<\/p>\n

d)\u00a0318<\/p>\n

Question 13:\u00a0<\/b>What is the HCF of the numbers 8, 20, 24 and 36?<\/p>\n

a)\u00a04<\/p>\n

b)\u00a08<\/p>\n

c)\u00a012<\/p>\n

d)\u00a016<\/p>\n

Question 14:\u00a0<\/b>Which of the following is not a prime number?<\/p>\n

a)\u00a0167<\/p>\n

b)\u00a0313<\/p>\n

c)\u00a0509<\/p>\n

d)\u00a01001<\/p>\n

Question 15:\u00a0<\/b>Find the digit in the ten’s place of $19^2+21^2$.<\/p>\n

a)\u00a00<\/p>\n

b)\u00a02<\/p>\n

c)\u00a04<\/p>\n

d)\u00a06<\/p>\n

Download General Science Notes PDF<\/a><\/p>\n\n

Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

147 – 82 = 65
\n199 – 147 = 52
\nThe HCF of these differences is the number that divides all the three numbers leaving the same remainder.
\n65 = 13 * 5
\n52 = 13 * 4
\n=> HCF = 13
\nHence, 13 is the answer.<\/p>\n

2)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Let\u2019s say number is x
\nHence, x-32 = 2x\/3
\nOr x = 96
\nSo 25% of the number will be 24<\/p>\n

3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Let\u2019s say number is x then $x \\times\\frac{1}{6} \\times \\frac{3}{8} \\times \\frac{2}{5} = 96$
\nHence, after solving the above equation we will get x = 3840
\nSo 10% of the number will be 384<\/p>\n

4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

The ratio of the first two numbers is 4:5 which equals 12:15<\/p>\n

Hence, the ratio of all three numbers will be = 12:15:13
\nAnd let\u2019s say numbers are 12x, 15x and 13x
\nSo the summation of the numbers = 40x = 120
\nOr x= 3
\nHence, numbers are 36, 45 and 39<\/p>\n

5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Let\u2019s say number is 10x+y (Where digits of the number will be x and y)
\nx-y = 2
\nx+y = 8
\nHence, x = 5 and y = 3
\nProduct of the digits will be = 15<\/p>\n

RRB NTPC Free Mock Test<\/a><\/p>\n

RRB NTPC Previous Papers (Download PDF)<\/a><\/p>\n

6)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Let\u2019s say number is 10x+y. Hence, after interchanging their digits, new number will be 10y+x. So difference will be 9(x-y) = 54
\nDifference between the digits will be x-y = 6<\/p>\n

7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

This number can be expresssed in the form = LCM(2,7,3)k-1 = 42k-1. The smallest number is 42*1-1 = 41<\/p>\n

8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

The number is of the form LCM(2,7,5)k+1 = 70k+1. The numbers are 1,71,141 and so on. The 3rd smallest number is\u00a0141.<\/p>\n

9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

In this case the difference between the divisor and the remainder is constant in each case = 3-1 = 2, 5-3 = 2, 6-4 = 2 and 8-6 = 2.
\nThe number would be of the form LCM (3, 5, 6, 8) k – 2 = 120 k – 2
\nThe second smallest positive number would be 120*2 – 2 = 238.<\/p>\n

10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

As mentioned in the concept, the number would be of the form LCM (5, 7, 10, 12) k + 3 = 420 k + 3.
\nThe smallest term is 3. The second smallest term is (420*1)+3 = 423.
\nThe 5th smallest term is (420*4) + 3 = 1680+3 = 1683.<\/p>\n

11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Since the number is divisible by 99, the number is divisible by 9 and 11 as 99 = 9*11
\n9+a+5+3+b+2+5 should be divisible by 9
\n24+a+b should be divisible by 9.
\n24+a+b = 27 or 36
\na + b = 3 or 12
\nSimilarly (9+5+b+5)-(a+3+2) = 14+b-a should be divisible by 11
\n14+b-a = 11 or 22
\na – b = 3 or -8
\nWhen a + b = 12 and a – b = 3, then a = 7.5 which is not possible
\nWhen a + b = 12 and a – b = -8, then a = 10 which is not possible
\nWhen a + b = 3\u00a0and a – b = -8, then a = -2.5 which is not possible
\nWhen a + b = 3 and a – b = 3, then a = 3 and b = 0 which is the solution.<\/p>\n

12)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

The number is of the form LCM(5,7,9)k+3 = 315k+3 = 318.<\/p>\n

13)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

$8 = 2^3$
\n$20 = 2^2 * 5$
\n$24 = 2^3 * 3$
\n$36 = 2^2 * 3^2$<\/p>\n

So, the HCF of the four numbers is $2^2$ = 4<\/p>\n

14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

1001 = 7*11*13
\n=> 1001 is not prime<\/p>\n

15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

$19^{2}+21^{2}$
\n= 361 + 441
\n= 802
\n=> Ten’s digit is 0.<\/p>\n\n

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We hope this Number System Questions set-3 pdf\u00a0 for RRB NTPC Exam will be highly useful for your Preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Number System Questions for RRB NTPC Set-3 PDF Download RRB NTPC Number System Questions and Answers set-3 PDF. Top 15 RRB NTPC Number System questions based on asked questions in previous exam papers very important for the Railway NTPC exam. Take a free mock test for RRB NTPC Download RRB NTPC Previous Papers PDF Question […]<\/p>\n","protected":false},"author":41,"featured_media":34290,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[31,1603],"tags":[2570,166,1593],"class_list":{"0":"post-34264","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-railways","8":"category-rrb-ntpc","9":"tag-number-system-questions-for-rrb-ntpc","10":"tag-railways","11":"tag-rrb-ntpc"},"better_featured_image":{"id":34290,"alt_text":"Number System Questions for RRB NTPC Set-3 PDF","caption":"Number System Questions for RRB NTPC Set-3 PDF","description":"Number System Questions for RRB NTPC Set-3 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