{"id":26675,"date":"2019-03-29T12:27:54","date_gmt":"2019-03-29T06:57:54","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=26675"},"modified":"2019-03-29T12:27:54","modified_gmt":"2019-03-29T06:57:54","slug":"algebra-questions-for-rrb-group-d-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/algebra-questions-for-rrb-group-d-pdf\/","title":{"rendered":"Algebra Questions For RRB Group D PDF"},"content":{"rendered":"

Algebra Questions PDF For RRB Group D<\/strong><\/span><\/h1>\n

Download Top 20 RRB Group-D Algebra Questions and Answers PDF. RRB Group-D Algebra questions based on asked questions in previous exam papers very important for the Railway Group-D exam.<\/p>\n

Download RRB Group D Algebra Questions PDF<\/a><\/p>\n\n

Download RRB Group-D Previous Papers PDF<\/a><\/p>\n

Take a RRB Group-D free mock test<\/a><\/p>\n

Question 1:\u00a0<\/b>If (a+b)*(b+c)*(c+a) = 0, what is the value of $(a+b+c)^3$?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a0$a^3+b^3+c^3$<\/p>\n

c)\u00a0$3a^2bc + 3b^2ca + 3c^2ab$<\/p>\n

d)\u00a03abc<\/p>\n

Question 2:\u00a0<\/b>Given: a < b, c $\\geq$ b and d > c. Which of the following option best describes the relationship between a and d?<\/p>\n

a)\u00a0a is less than d<\/p>\n

b)\u00a0a is less than or equal to d<\/p>\n

c)\u00a0a is equal to d<\/p>\n

d)\u00a0No relationship can be established between a and d.<\/p>\n

Question 3:\u00a0<\/b>If $x^y + y^x$ = 1 for any value of x,what is the value of y?<\/p>\n

a)\u00a0-1<\/p>\n

b)\u00a00<\/p>\n

c)\u00a01<\/p>\n

d)\u00a02<\/p>\n

 <\/p>\n

Question 4:\u00a0<\/b>If 25%x + 40 % y is more than 40% x + 25% y by 15, what is the value of x – y?<\/p>\n

a)\u00a0100<\/p>\n

b)\u00a00<\/p>\n

c)\u00a0-100<\/p>\n

d)\u00a050<\/p>\n

Question 5:\u00a0<\/b>Which of the following is not a factor of $6x^3+ 23x^2+ 17x+6$?<\/p>\n

a)\u00a0x+3<\/p>\n

b)\u00a02x+1<\/p>\n

c)\u00a03x+2<\/p>\n

d)\u00a04x+4<\/p>\n

Take a free mock test for RRB Group-D<\/a><\/p>\n\n

Question 6:\u00a0<\/b>What is the value of $\\frac{4.1^3 + 2.1^3}{4.1^2 + 2.1^2 – 8.61}$<\/p>\n

a)\u00a02<\/p>\n

b)\u00a06.2<\/p>\n

c)\u00a08.61<\/p>\n

d)\u00a00<\/p>\n

Question 7:\u00a0<\/b>What is the value of x if $2^{2x} * 2^{2^{x}} * 2^{x}$ = 32?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a01<\/p>\n

c)\u00a02<\/p>\n

d)\u00a04<\/p>\n

 <\/p>\n

Question 8:\u00a0<\/b>If x$\\leq$y, y < z and z$\\geq$w, which of the following inequalities is implied?<\/p>\n

a)\u00a0x < z<\/p>\n

b)\u00a0y$\\geq$w<\/p>\n

c)\u00a0x$\\leq$w<\/p>\n

d)\u00a0y>w<\/p>\n

Question 9:\u00a0<\/b>Given a = 3, b =4 and c = 6, which of the following statements is true?
\n3a+ 4b -c = 20
\nab + bc – ca = 18
\nabc – $c^2$ + ca – b = 52
\n$a^2c > b^2a$<\/p>\n

a)\u00a0Only 2<\/p>\n

b)\u00a0Only 4<\/p>\n

c)\u00a0Only 1 and 3<\/p>\n

d)\u00a0Only 2 and 4<\/p>\n

Question 10:\u00a0<\/b>If $3^{y+1} – 3^{y-1}$ = 72, then what is the value of $y^2+ 2y+2$?<\/p>\n

a)\u00a017<\/p>\n

b)\u00a027<\/p>\n

c)\u00a037<\/p>\n

d)\u00a047<\/p>\n

RRB Group D previous year papers<\/a><\/p>\n

Daily Free RRB Online Test<\/a><\/p>\n

Question 11:\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 12:\u00a0<\/b>Two numbers are less than the third number by 30% and 37% respectively. By what percent is the second number less than the first number?<\/p>\n

a)\u00a015%<\/p>\n

b)\u00a010%<\/p>\n

c)\u00a025%<\/p>\n

d)\u00a020%<\/p>\n

Question 13:\u00a0<\/b>In an election a candidate gets 40% of votes polled and is defeated by the winning candidate by 298 votes. Find the total number of votes polled.<\/p>\n

a)\u00a01360<\/p>\n

b)\u00a01490<\/p>\n

c)\u00a01520<\/p>\n

d)\u00a01602<\/p>\n

770 Mocks (cracku Pass) Just Rs.199<\/a><\/p>\n

Question 14:\u00a0<\/b>The length of a rectangular hall is 8\/5th of its breadth. If the perimeter of the hall is 260 feet, what is the length of the hall?<\/p>\n

a)\u00a060 feet<\/p>\n

b)\u00a070 feet<\/p>\n

c)\u00a080 feet<\/p>\n

d)\u00a090 feet<\/p>\n

Question 15:\u00a0<\/b>For which of the following values of \u2018m\u2019 does the equation 3x + mx = 15 have exactly one solution?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a0-3<\/p>\n

c)\u00a0-2<\/p>\n

d)\u00a0More than one of the above<\/p>\n

RRB Group-D Important Questions (download PDF)<\/a><\/p>\n\n

Question 16:\u00a0<\/b>A number is such that when 76 is subtracted from 5 times that number, the result equals that number. What is that number?<\/p>\n

a)\u00a019<\/p>\n

b)\u00a020<\/p>\n

c)\u00a018<\/p>\n

d)\u00a021<\/p>\n

Question 17:\u00a0<\/b>Find the value of the expression:$\\frac{114^3+7^3}{114^2+7^2-(114*7)}$<\/p>\n

a)\u00a0118<\/p>\n

b)\u00a0124<\/p>\n

c)\u00a0125<\/p>\n

d)\u00a0121<\/p>\n

Question 18:\u00a0<\/b>Find the value of the following expression:$\\frac{124^3+1^3+7^3-(3*124*1*7)}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)}$<\/p>\n

a)\u00a0125<\/p>\n

b)\u00a0132<\/p>\n

c)\u00a0116<\/p>\n

d)\u00a0119<\/p>\n

General Science Notes for RRB Exams (PDF)<\/a><\/p>\n

Question 19:\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 20:\u00a0<\/b>The HCF of x and y is 15 such that both x and y are greater than 15 and x > y. Find the minimum sum of x and y.<\/p>\n

a)\u00a060<\/p>\n

b)\u00a045<\/p>\n

c)\u00a075<\/p>\n

d)\u00a030<\/p>\n

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

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

The formula we use here is $(a+b+c)^3$ = $a^3 + b^3+c^3$ + 3(a+b)(b+c)(c+a)<\/p>\n

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

Given: a < b, c $\\geq$ b and d > c.
\nSo, a < b $\\leq$ c < d
\nLet\u2019s consider the two cases:
\nb is less than c
\nSo, a < b < c < d
\nHence a is less than d<\/p>\n

2) b is equal to c
\nSo, a < b = c < d
\nHence a is less than d<\/p>\n

So, in both the possible scenarios, a is less than d<\/p>\n

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

We can substitute each of the values of y in the equation and easily determine that y = 0 is the only possible solution for this equation.<\/p>\n

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

Given: (25%x + 40 % y) – (40% x + 25% y) = 15
\nSo, 0.15y – 0.15 x = 15
\ny – x = 100
\nSo, x – y = -100<\/p>\n

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

We can multiply (x+3)*(2x+1)*(3x+2) to get $6x^3+ 23x^2+ 17x+6$. So, other than (d), all others are factors of expression.<\/p>\n

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

We use the formula $a^3 + b^3$ = (a+b) * $(a^2+b^2-ab)$
\nSo, the answer = 4.1 + 2.1 = 6.2<\/p>\n

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

Given $2^{2x} * 2^{2^{x}} * 2^{x}$ = $2^5$
\nSo, $2x + 2^x + x$ = 5
\nWe can observe that for x = 1, we can get required value.
\nSo, option (b) is the correct answer.<\/p>\n

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

Since y is less than z and x is less than or equal to y, x is less than z. So, option (a) is implied.
\nFor options (b), (c) and (d), we have the inequality y<\/p>\n

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

Substituting the values in (1), we get 3 * 3 + 4 * 4 – 6 = 19
\nSo, (1) is false.<\/p>\n

Substituting the values in (2), we get 3 * 4 + 4 * 6 – 6 *3 = 18
\nSo, (2) is true<\/p>\n

Substituting the values in (3), we get 3 * 4 * 6 – 4 * 4 + 6 * 3 – 4 = 50
\nSo, (3) is false.<\/p>\n

Substituting the values in (4), we get 3 * 3 * 6 > 4 * 4 * 3
\nSo, (4) is true
\nHence the correct option is (d)<\/p>\n\n

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

Given: $3^{y+1} – 3^{y-1}$ = 72
\nLet y – 1 = x
\nSo, y + 1 = x + 2
\nHence, $3^{x+2} – 3^{x}$ = 72
\nSo, $3^x$ (9-1) = 72
\nSo, $3 ^ x = 3 ^ 2$
\nHence x = 2.
\nY = 3.
\nThe required value = $3^2+2*3+2$ = 9 + 6 + 2 = 17<\/p>\n

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

Let’s use the options to solve, starting with the option having the smallest number<\/p>\n

240=2$^{4} $ x 3 x 5<\/p>\n

the no of factors of 240=(4+1)(1+1)(1+1)=20<\/p>\n

So B is incorrect.<\/p>\n

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

no of factors=4 x 3 x 2=24<\/p>\n

Thus, option C is the right choice.<\/p>\n

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

Let the third number be x. So, the first number is .7x<\/p>\n

The second number is .63x<\/p>\n

So, the second number is less than the first number by .7 ie 10% of the first number.<\/p>\n

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

There is an assumption in the question that there are only two candidates participating in the election. One candidate got 40% votes and the other candidate got 60% votes. The difference is 20% votes which are 298. If 298 votes are 20%, 100% is how much.<\/p>\n

= 298\/20% = 1490<\/p>\n

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

Let the breadth be b.
\nSo, length = 8b\/5
\nPerimeter = 2*(b+8b\/5) = 26b\/5 = 260
\nSo, b = 260*5\/26 = 50 feet
\nSo, the length of the hall is 8*50\/5 = 80 feet.<\/p>\n

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

3x + mx = 15
\n=> (3+m)x = 15
\n=> x = 15\/(3+m)<\/p>\n

So, for all real values of m except -3, the equation has exactly one solution.<\/p>\n

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

Let the number be x. 5 times that number = 5x
\nSo, 5x – 76 = x => 4x = 76
\n=> x = 19<\/p>\n

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

$\\frac{114^3+7^3}{114^2+7^2-(114*7)} = \\frac{(114+7)(114^2+7^2-(114*7))}{114^2+7^2-(114*7)}$ = 121<\/p>\n

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

$\\frac{124^3+1^3+7^3-(3*124*1*7)}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)} = $\\frac{(124+1+7)(124^2+1^2+7^2-(124*1)-(124*7)-(7*1))}{124^2+1^2+7^2-(124*1)-(124*7)-(7*1)}$ = 124+1+7 = 132<\/p>\n

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

Let’s use the options to solve, starting with the option having the smallest number<\/p>\n

240=2$^{4} $ x 3 x 5<\/p>\n

the no of factors of 240=(4+1)(1+1)(1+1)=20<\/p>\n

So B is incorrect.<\/p>\n

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

no of factors=4 x 3 x 2=24<\/p>\n

Thus, option C is the right choice.<\/p>\n

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

x and y are of the form 15k such that k > 1.
\nSo, minimum values of k are 2 and 3.
\n=> x = 45 and y = 30
\n=> x + y = 75<\/p>\n\n

DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n

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

Algebra Questions PDF For RRB Group D Download Top 20 RRB Group-D Algebra Questions and Answers PDF. RRB Group-D Algebra questions based on asked questions in previous exam papers very important for the Railway Group-D exam. Download RRB Group-D Previous Papers PDF Take a RRB Group-D free mock test Question 1:\u00a0If (a+b)*(b+c)*(c+a) = 0, what […]<\/p>\n","protected":false},"author":41,"featured_media":26697,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1679],"tags":[489,491,492,42],"class_list":{"0":"post-26675","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-group-d","11":"tag-railway-exam","12":"tag-rrb","13":"tag-rrb-group-d","14":"tag-rrb-mock-test"},"better_featured_image":{"id":26697,"alt_text":"Algebra Questions Pdf For RRB Group-D","caption":"Algebra Questions Pdf For RRB Group-D","description":"Algebra Questions Pdf For RRB 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