{"id":29104,"date":"2019-05-16T18:20:17","date_gmt":"2019-05-16T12:50:17","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=29104"},"modified":"2019-05-16T18:20:17","modified_gmt":"2019-05-16T12:50:17","slug":"algebra-questions-for-rrb-ntpc-set-2-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/algebra-questions-for-rrb-ntpc-set-2-pdf\/","title":{"rendered":"Algebra Questions for RRB NTPC Set-2 PDF"},"content":{"rendered":"

Algebra Questions for RRB NTPC Set-2 PDF<\/strong><\/span><\/h1>\n

Download RRB NTPC Algebra Set-2 Questions and Answers PDF. Top 15 RRB NTPC Maths questions based on asked questions in previous exam papers very important for the Railway NTPC exam.<\/p>\n

Download Algebra Questions for RRB NTPC Set-2 PDF<\/a><\/p>\n\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>What is the minimum number that must be added to 9, 23, 41, 83 in order to make them proportional?<\/p>\n

a)\u00a03<\/p>\n

b)\u00a07<\/p>\n

c)\u00a05<\/p>\n

d)\u00a09<\/p>\n

Question 2:\u00a0<\/b>10 years ago, the average age of Saurav and Sachin was 20 years. 5 years from hence, the average age of Saurav, Sachin and Viru will be 40 years. What is the present age of Viru?<\/p>\n

a)\u00a035 years<\/p>\n

b)\u00a045 years<\/p>\n

c)\u00a020 years<\/p>\n

d)\u00a0Cannot be determined<\/p>\n

Question 3:\u00a0<\/b>A man has a certain number of chocolates with him. He gave one-fifth of the chocolates to his son, one-fourth of them to his daughter and one-third of them to his nephew. If he has 65 chocolates remaining with him, what is the number of chocolates that the man had initially?<\/p>\n

a)\u00a0400<\/p>\n

b)\u00a0320<\/p>\n

c)\u00a0300<\/p>\n

d)\u00a0200<\/p>\n

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

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

Question 4:\u00a0<\/b>The smallest positive integer n with 24 divisors considering 1 and n as divisors is<\/p>\n

a)\u00a0420<\/p>\n

b)\u00a0240<\/p>\n

c)\u00a0360<\/p>\n

d)\u00a0480<\/p>\n

Question 5:\u00a0<\/b>The sum of two numbers is equal to 27 and their product is equal to 182. What are the two numbers?<\/p>\n

a)\u00a015, 12<\/p>\n

b)\u00a011, 16<\/p>\n

c)\u00a09, 18<\/p>\n

d)\u00a013, 14<\/p>\n

e)\u00a019, 8<\/p>\n

Question 6:\u00a0<\/b>If a = 6, b = 2 and c = -8, then what is the value of $a^3 + b^3 + c^3$?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a0-2146<\/p>\n

c)\u00a0-286<\/p>\n

d)\u00a0-288<\/p>\n

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

Question 7:\u00a0<\/b>If $x + \\dfrac{1}{x} = 3$, find the value of $x^3 + \\dfrac{1}{x^3}.<\/p>\n

a)\u00a015<\/p>\n

b)\u00a018<\/p>\n

c)\u00a012<\/p>\n

d)\u00a09<\/p>\n

Instructions<\/b><\/p>\n

Question 8:\u00a0<\/b>Sum of three consecutive even numbers is 48. what is the square of largest number ?<\/p>\n

a)\u00a0196<\/p>\n

b)\u00a0256<\/p>\n

c)\u00a0324<\/p>\n

d)\u00a0400<\/p>\n

Question 9:\u00a0<\/b>What is the minimum value of the expression $x^{2}+12x+42$ ?<\/p>\n

a)\u00a03<\/p>\n

b)\u00a04<\/p>\n

c)\u00a06<\/p>\n

d)\u00a05<\/p>\n

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

Question 10:\u00a0<\/b>Find the remainder when $2x^{4}-x^{3}+5x^{2}-2x+6$=0 is divided by x+1.<\/p>\n

a)\u00a015<\/p>\n

b)\u00a014<\/p>\n

c)\u00a013<\/p>\n

d)\u00a016<\/p>\n

Question 11:\u00a0<\/b>The difference between the square and half of the natural number is 33 then what is the cube of the number.<\/p>\n

a)\u00a0512<\/p>\n

b)\u00a0216<\/p>\n

c)\u00a0343<\/p>\n

d)\u00a0125<\/p>\n

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

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Question 12:\u00a0<\/b>What is the remainder when $7x^{8}-5$ is divided by (x+1) ?<\/p>\n

a)\u00a02<\/p>\n

b)\u00a01<\/p>\n

c)\u00a00<\/p>\n

d)\u00a03<\/p>\n

Question 13:\u00a0<\/b>Arithmetic mean of two natural numbers is 15 and what is the minimum value of the product of two numbers ?<\/p>\n

a)\u00a0225<\/p>\n

b)\u00a0220<\/p>\n

c)\u00a0210<\/p>\n

d)\u00a0200<\/p>\n

Daily Free RRB Online Tests for RRB Exams<\/a><\/p>\n

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

Question 14:\u00a0<\/b>Sum of the reciprocals of two consecutive natural numbers is 11\/30.what is the sum of squares of those numbers ?<\/p>\n

a)\u00a051<\/p>\n

b)\u00a061<\/p>\n

c)\u00a0113<\/p>\n

d)\u00a041<\/p>\n

Question 15:\u00a0<\/b>$x^{3}-4x^{2}+12x-k$ is perfectly divisible by (x-3) then what is the value of k ?<\/p>\n

a)\u00a0-27<\/p>\n

b)\u00a027<\/p>\n

c)\u00a0-23<\/p>\n

d)\u00a023<\/p>\n\n

Download Current Affairs Questions & Answers PDF<\/a><\/p>\n

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

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

Let the number be x.
\n=> (9+x)(83+x) = (23+x)(41+x)
\n=> $747 + 92x + x^2 = 943 + 64x + x^2$
\n=> 28x = 196
\n=> x = 7<\/p>\n

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

Total age of Saurav and Sachin 10 years ago = 20 * 2 = 40 years
\nSo, total age of Sachin and Saurav 5 years hence = 40 + 10*2 + 5*2 = 70 years
\nTotal age of all three 5 years hence = 40*3 = 120 years
\nSo, Viru\u2019s age 5 years hence = 120 – 70 = 50
\nViru\u2019s present age = 50 – 5 = 45 years<\/p>\n

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

Let the number of chocolates with the man be N.
\nSo, chocolates remaining with him after the distribution = N – (N\/5 + N\/4 + N\/3) = N – 47N\/60 = 13N\/60 = 65
\nSo, N = 65 * 60\/13 = 300<\/p>\n

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

For any given number, that can be represented as $ A^{x} \\times B ^ {y} $, etc<\/p>\n

The number of factors is denoted by (x+1) x ( y+1), etc<\/p>\n

360 = $ 2 ^ {3} \\times 3 ^ {2} \\times 5^ {1}$<\/p>\n

So the number of factors = (3 +1) x (2+ 1) (1+ 1) = 4x3x2 = 24<\/p>\n

For 240, it is\u00a0$ 2 ^ {4} \\times 3 ^ {1} \\times 5^ {1}$<\/p>\n

Number of factors = 5 x 2 x 2 = 20 only<\/p>\n

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

Only in option D the product of numbers is 182.\u2234option D is the right choice.<\/p>\n

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

Given, a = 6, b = 2, c = -8
\nHere, a+b+c = 0.
\nWe know that if a+b+c = 0, then $a^3+b^3+c^3 = 3abc$
\nTherefore, $a^3 + b^3 + c^3 = 3 \\times 6 \\times 2 \\times (-8) = -288$<\/p>\n

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

Given, $x + \\dfrac{1}{x} = 3$
\nCubing on both sides,
\n$(x + \\dfrac{1}{x})^3 = 27$
\n$x^3 + \\dfrac{1}{x^3} + 3 \\times x \\times \\dfrac{1}{x} (x + \\dfrac{1}{x}) = 27$
\n$x^3 + \\dfrac{1}{x^3} + 3 \\times 3 = 27$
\nTherefore, $x^3 + \\dfrac{1}{x^3} = 27-9 = 18$<\/p>\n

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

Let the three numbers be 2n-2, 2n,2n+2
\nsum=6n
\nWe have 6n=48
\nn=8
\nSubstituting n=8 we have 14,16,18
\nSquare of 18 is 324.<\/p>\n

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

By expressing the given value in terms of square we have $(x+6)^{2}+6$
\nMinimum value of the term in square is zero
\nAnd so minimum value of the expression is 6.<\/p>\n

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

From the remainder theorem we have if f(x) is divided by (x-a) then f(a) is the remainder and so by substituting -1 in f(x) we have
\n=$2*(-1)^{4}-(-1)^{3}+5*(-1)^{2}-2*(-1)+6$
\n=2+1+5+2+6
\n=16<\/p>\n

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

let the number be x
\nGiven $x^{2}-(x\/2)$=33
\n$2x^{2}-x$=66
\n$2x^{2}-x-66$=0
\n$2x^{2}-12x+11x-66$=0
\n2x(x-6)+11(x-6)=0
\n(2x+11)(x-6)=0
\nx=6
\nCube of 6=216<\/p>\n

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

From the remainder theorem when f(x) is divided by (x-a) then f(a) will be the remainder and so substituting x=-1 in the equation we have
\n=7-5
\n=2<\/p>\n

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

We know that AM$\\geq$GM
\n15$\\geq$GM
\nLet the numbers be a and b
\n$\\sqrt{ab}\\leq15$
\nab$\\geq$225<\/p>\n

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

Let the numbers be n and n+1
\nThen we have (1\/(n+1))+(1\/(n))=11\/30
\n(2n+1)\/(n)(n+1) =11\/30
\n60n+30=$11n^{2}$+11n
\n$11n^{2}-49n-30$=0
\n$11n^{2}-55n+6n-30$=0
\n11n(n-5)+6(n-5)=0
\nn=5 and so n+1=6
\nSum of squares=25+36
\n=61<\/p>\n

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

From the remainder theorem we know that if f(x) is divisible by (x-a) then f(a)=0 an so by substituting x=3 in the expression we have
\n$3^{3}-4*3^{2}+12*3-k$=0
\n27-36+36-k=0
\n27-k=0
\nk=27<\/p>\n\n

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We hope this Algebra Set-2 Questions for RRB NTPC Exam will be highly useful for your Preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Algebra Questions for RRB NTPC Set-2 PDF Download RRB NTPC Algebra Set-2 Questions and Answers PDF. Top 15 RRB NTPC Maths 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 1:\u00a0What is the […]<\/p>\n","protected":false},"author":41,"featured_media":29108,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1603],"tags":[489,491,1647,1619],"class_list":{"0":"post-29104","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-featured","9":"category-railways","10":"category-rrb-ntpc","11":"tag-railway-exam","12":"tag-rrb","13":"tag-rrb-mocks","14":"tag-rrb-ntpc-2019"},"better_featured_image":{"id":29108,"alt_text":"Algebra Set-2 Questions for RRB NTPC PDF","caption":"Algebra Set-2 Questions for RRB NTPC PDF","description":"Algebra Set-2 Questions for RRB NTPC 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