{"id":31205,"date":"2019-07-08T18:28:51","date_gmt":"2019-07-08T12:58:51","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=31205"},"modified":"2019-07-09T13:05:53","modified_gmt":"2019-07-09T07:35:53","slug":"important-mathematics-questions-for-rrb-group-d-set-2-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/important-mathematics-questions-for-rrb-group-d-set-2-pdf\/","title":{"rendered":"Important Mathematics Questions for RRB Group-D Set – 2 PDF"},"content":{"rendered":"

Important Mathematics Questions for RRB Group-D Set – 2 PDF<\/strong><\/span><\/h3>\n

Download Top-15 RRB Group-D\u00a0Important Mathematics Questions set-2\u00a0 PDF.\u00a0RRB GROUP-D Important Mathematics questions based on asked questions in previous exam papers very important for the Railway Group-D exam.<\/p>\n

Download Important Mathematics Questions for RRB Group-D Set – 2 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>In a moderately skewed distribution, it is known that the median is 5 and the mode is 7. What is the mean?<\/p>\n

a)\u00a010<\/p>\n

b)\u00a08<\/p>\n

c)\u00a06<\/p>\n

d)\u00a04<\/p>\n

Question 2:\u00a0<\/b>If the ratio between sin a and cos a is x : y, then what is the value of $sin^2 a – cos^2 a$?<\/p>\n

a)\u00a0$\\dfrac{x^2 – y^2}{x^2 + y^2}$<\/p>\n

b)\u00a0$\\dfrac{xy}{x^2 – y^2}$<\/p>\n

c)\u00a0$\\dfrac{x^2 + y^2}{x^2 – y^2}$<\/p>\n

d)\u00a0$\\dfrac{xy}{x^2 + y^2}$<\/p>\n

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

Question 3:\u00a0<\/b>if $\\sec\\theta-\\tan\\theta$=4 then what is the value of $\\sec\\theta+\\tan\\theta$ ?<\/p>\n

a)\u00a04<\/p>\n

b)\u00a02<\/p>\n

c)\u00a01\/4<\/p>\n

d)\u00a01\/2<\/p>\n

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

Question 4:\u00a0<\/b>$\\sin\\theta$=5\/13 and $\\theta$ belongs to first quadrant then what is the value of $\\sec\\theta+\\tan\\theta$<\/p>\n

a)\u00a03\/2<\/p>\n

b)\u00a013\/25<\/p>\n

c)\u00a02\/3<\/p>\n

d)\u00a025\/12<\/p>\n

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

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

Question 5:\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

Question 6:\u00a0<\/b>Sum of 5 consecutive odd numbers is 125. What is the product of largest and smallest of the 5 numbers ?<\/p>\n

a)\u00a0567<\/p>\n

b)\u00a0609<\/p>\n

c)\u00a0575<\/p>\n

d)\u00a0675<\/p>\n

Question 7:\u00a0<\/b>A person can buy 40 cakes with the money he has and if the cost of the cake is decreased by half rupee then he can buy 42 cakes and he is left with 9 rupees. What is the total money he has ?<\/p>\n

a)\u00a0235<\/p>\n

b)\u00a0220<\/p>\n

c)\u00a0210<\/p>\n

d)\u00a0240<\/p>\n

Question 8:\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

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

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

Question 9:\u00a0<\/b>If the radius of a cone is decreased to 2\/5 th of the original radius and the volume of the cone is same then what is the ratio of the heights of original to the new one ?<\/p>\n

a)\u00a02:5<\/p>\n

b)\u00a05:2<\/p>\n

c)\u00a04:25<\/p>\n

d)\u00a025:4<\/p>\n

Question 10:\u00a0<\/b>$\\triangle$ ABC is a right angled triangle right angled at B. If AB = BC, then, find $\\angle$ ACB<\/p>\n

<\/figure>\n

a)\u00a0$60^\\circ$<\/p>\n

b)\u00a0$35^\\circ$<\/p>\n

c)\u00a0$45^\\circ$<\/p>\n

d)\u00a0$30^\\circ$<\/p>\n

Question 11:\u00a0<\/b>A cake is made up of chocolate and bread. It is in the shape of cuboid whose length is 20cm, breadth is 14cm and height is 8 cm, Find the volume of chocolate if volume of bread is 880 cubic cm?<\/p>\n

a)\u00a01440<\/p>\n

b)\u00a01260<\/p>\n

c)\u00a01360<\/p>\n

d)\u00a01460<\/p>\n

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

Question 12:\u00a0<\/b>Mean temperature of a city for a week is 28\u00b0C. If the mean temperature for Monday, Tuesday, Wednesday and Thursday is 27.5\u00b0C and the mean temperature for Thursday, Friday, Saturday and Sunday is 29\u00b0C, the temperature recorded for Thursday is<\/p>\n

a)\u00a0$\u00a030^{0} $<\/p>\n

b)\u00a0$ 29^{0} $<\/p>\n

c)\u00a0$\u00a031^{0} $<\/p>\n

d)\u00a0$ 28^{0} $<\/p>\n

Question 13:\u00a0<\/b>A mother said to his son, \u201cI was as old as you are at present at the time of your birth\u201d. If the mother\u2019s present age is 42 years, find the present age of her son.<\/p>\n

a)\u00a014 years<\/p>\n

b)\u00a018 years<\/p>\n

c)\u00a021 years<\/p>\n

d)\u00a024 years<\/p>\n

Question 14:\u00a0<\/b>If log 2 = 0.3010 and log 3 = 0.4771, what is the value of log 432?<\/p>\n

a)\u00a01.6353<\/p>\n

b)\u00a03.6353<\/p>\n

c)\u00a05.6353<\/p>\n

d)\u00a02.6353<\/p>\n

Question 15:\u00a0<\/b>Amar has 10 friends. In how many ways can he invite them to a party such that at least one friend is invited?<\/p>\n

a)\u00a0${10}^2$ – 1<\/p>\n

b)\u00a0$2^{10}$ – 1<\/p>\n

c)\u00a0$2^{10}$<\/p>\n

d)\u00a0None of the above<\/p>\n

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

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

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

Mode = 3(Median)-2(Mean)<\/p>\n

7 = 3(5)-2(mode)<\/p>\n

7-15 = -2(mode)<\/p>\n

-8 = -2(mode)<\/p>\n

mode = 4<\/p>\n

So the answer is option D.<\/p>\n

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

Given, $\\dfrac{sin a}{cos a} = \\dfrac{x}{y}$<\/p>\n

\u21d2 $\\dfrac{sin a}{x} = \\dfrac{cos a}{y}$<\/p>\n

Let $\\dfrac{sin a}{x} = \\dfrac{cos a}{y}$ = k<\/p>\n

$\\dfrac{sin a}{x} = k \u21d2 sin a = kx$<\/p>\n

$\\dfrac{cos a}{y} = k \u21d2 cos a = ky$
\nWe know that $sin^2 a + cos^2 a = 1$
\n$sin^2 a = (kx)^2 = k^2 x^2$
\n$cos^2 a = (ky)^2 = k^2 y^2$<\/p>\n

\u21d2 $k^2 x^2 + k^2 y^2 = 1$
\n\u21d2 $k^2 ( x^2 + y^2 ) = 1$
\n\u21d2 $k^2 = \\dfrac{1}{x^2 + y^2}$<\/p>\n

$sin^2 a – cos^2 a = k^2 x^2 – k^2 y^2 = k^2 (x^2 – y^2)$
\nSubstituting $k^2 = \\dfrac{1}{x^2 + y^2}$ in above equation
\nTherefore, $sin^2 a – cos^2 a = \\dfrac{x^2 – y^2}{x^2 + y^2}$<\/p>\n

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

we know that $\\sec^{2}\\theta-\\tan^{2}\\theta$=1
\n$(\\sec\\theta+\\tan\\theta)(\\sec\\theta-\\tan\\theta)$=1
\n$(\\sec\\theta+\\tan\\theta) \\times 4=1$
\n$\\csc\\theta+\\cot\\theta$=1\/4<\/p>\n

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

Given $\\sin\\theta$=5\/13
\nFrom $\\sin^{2}\\theta+\\cos^{2}\\theta$=1
\n$\\cos\\theta$=12\/13
\n$\\sec\\theta$=13\/12
\n$\\tan\\theta$=$\\sin\\theta$\/$\\cos\\theta$
\n=5\/12
\nsum=(13\/12)+(5\/12)
\n=18\/12
\n=3\/2<\/p>\n

5)\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

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

Let the least odd number be 2n+1 then
\n2n+1+2n+3+2n+5+2n+7+2n+9=10n+25
\n10n+25=125
\n10n=100
\nn=10
\nLeast odd number=21
\nLargest number=29
\nProduct of 21*29=607
\nHence, option B is the correct answer.<\/p>\n

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

let the cost of cake be x
\n40x=((2x-1)\/2)42+9
\n40x=42x-21+9
\n2x=12
\nx=6
\nIf x=6 total money with him is 40*6=Rs 240
\nHence, option D is the correct answer.<\/p>\n

8)\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

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

Volume of a cone=$(1\/3)\\pi r^{2}h$
\nr2=2*r1\/5
\n$(r1)^{2}h1$=$ (r2)^{2}h2$
\nh1=(4\/25)h2
\nh1:h2=4:25<\/p>\n

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

Given $\\angle ABC = 90^\\circ$<\/p>\n

<\/figure>\n

In a triangle, if two sides are equal, then, opposite angles are equal.
\nHere, AB = BC \u21d2 $\\angle A = \\angle C$
\nLet $\\angle A = \\angle C = x^\\circ$
\nSum of angles in a triangle is equal to $180^\\circ$
\n\u21d2 $90^\\circ + 2x = 180^\\circ$
\n\u21d2 $ 2x = 90^\\circ$
\n\u21d2 $ x = 45^\\circ$
\nHence, $\\angle ACB = 45^\\circ$<\/p>\n

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

Volume of cake = vol.of bread + vol.of chocolate<\/p>\n

(20)(14)(8) = vol.of bread + 880<\/p>\n

2240 = vol.of bread + 880<\/p>\n

Vol.of bread = 1360<\/p>\n

So the answer is option C.<\/p>\n

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

Given,
\nMean temperature of a week =\u00a0$ 28^{0} $ i.e Total temperature 28 x 7 = 196
\nMean temperature for\u00a0Monday, Tuesday, Wednesday and Thursday is $ 27.5^{0}$ i.e total temperature = 27.5 x 4 = 110 and
\nThe mean temperature for Thursday, Friday, Saturday and Sunday is $ 29^{0}$ i.e total temperature = 29 x 4 = 116
\nNow,\u00a0the temperature recorded for Thursday\u00a0is,
\n(110 + 116) – 196 = 226 – 196 = 30
\nHence, option A\u00a0is the correct answer.<\/p>\n

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

Let the present age of the son be x years
\nMother\u2019s age at the time of his birth will be 42 – x years
\nGiven, 42 – x = x \u21d2 2x = 42
\n\u21d2 x = 21 years
\nHence, The present age of the son = 21 years.<\/p>\n

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

$432 = 2^4 * 3^3$
\nSo, log 432 = log $(2^4 * 3^3)$ = log $2^4$ + log $3^3$ = 4 log 2 + 3 log 3
\n= 4 * 0.3010 + 3 * 0.4771 = 2.6353<\/p>\n

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

For each friend, there are two options – he is invited, he is not invited.
\nSo, the number of ways of inviting the friends is 2*2*2*\u2026*2 (10 times) = $2^{10}$
\nFrom this, we have to subtract the case when none of the friends are invited. So, the total number of ways of inviting the friends such that at least one friend is invited is $2^{10}$ – 1<\/p>\n\n

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

We hope this\u00a0Important Mathematics Questions set-2 PDF for RRB Group-D Exam will be highly useful for your preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Important Mathematics Questions for RRB Group-D Set – 2 PDF Download Top-15 RRB Group-D\u00a0Important Mathematics Questions set-2\u00a0 PDF.\u00a0RRB GROUP-D Important Mathematics 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:\u00a0In a moderately skewed […]<\/p>\n","protected":false},"author":41,"featured_media":31208,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1679,1673],"tags":[491,1637,1819,2052,1647],"class_list":{"0":"post-31205","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":"category-rrb-para-medical-categories","12":"tag-rrb","13":"tag-rrb-exam","14":"tag-rrb-group-d-exam","15":"tag-rrb-maths","16":"tag-rrb-mocks"},"better_featured_image":{"id":31208,"alt_text":"Important Mathematics Questions for RRB Group-D Set - 2 PDF","caption":"Important Mathematics Questions for RRB Group-D Set - 2 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