{"id":34381,"date":"2019-09-04T18:22:56","date_gmt":"2019-09-04T12:52:56","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=34381"},"modified":"2019-09-12T15:25:37","modified_gmt":"2019-09-12T09:55:37","slug":"data-sufficiency-questions-for-rrb-ntpc-set-2-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/data-sufficiency-questions-for-rrb-ntpc-set-2-pdf\/","title":{"rendered":"Data Sufficiency Questions for RRB NTPC Set-2 PDF"},"content":{"rendered":"

Data Sufficiency Questions for RRB NTPC Set-2 PDF<\/strong><\/span><\/h2>\n

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

Download Data Sufficiency Questions for RRB NTPC Set-2 PDF<\/a><\/p>\n

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

Question 1:\u00a0<\/b>3 friends namely- Pam, Ram, and Sam have certain number of pen and pencil with them. The total number of pens and pencils with all of them together is 18. Each of them has at least one pen and pencil and the number of pen and the number of pencils with each of them is distinct. Moreover, each of them has more pencils than pen. Find the number of pen and the number of pencils with Ram.
\nA) The total number of pens is 6 while Ram has 3 pencils.
\nB) The number of pens with Pam is less than that with Ram and Shyam. But, Pam has more objects than Ram.<\/p>\n

a)\u00a0Choose A if the answer can be determined using either statement alone.<\/p>\n

b)\u00a0Choose B if the answer can be determined using only one statement alone.<\/p>\n

c)\u00a0Choose C if the answer can be determined using both the statements together.<\/p>\n

d)\u00a0Choose D if the answer cannot be determined using both the statements together.<\/p>\n

Question 2:\u00a0<\/b>In this question two statements I and II are given. Study both the sentences and analyse which one is sufficient to answer the question.
\nIs x=y?
\nStatement I: $(x-23)^2 = (y-23)^2$
\nStatement II: $(x+y)(\\frac{1}{x} + \\frac{1}{y}) – 4 = 0$<\/p>\n

a)\u00a0The question can be answered by using one of the statements alone but not by the other statement alone.<\/p>\n

b)\u00a0The question can be answered by using either statement alone.<\/p>\n

c)\u00a0The question can be answered by using both the statements together.<\/p>\n

d)\u00a0The question cannot be answered even by using both the statements together.<\/p>\n

Question 3:\u00a0<\/b>Amongst six distinct positive integers, 13 is the highest while 5 is the lowest. What is the average of the six numbers?
\nStatement 1: The sum of the six numbers is 11 more than the square of an integer.
\nStatement 2: Exactly half of the numbers are prime and the sum of the numbers is also prime.<\/p>\n

a)\u00a0Statement 1 alone is sufficient to answer the question<\/p>\n

b)\u00a0Statement 2 alone is sufficient to answer the question<\/p>\n

c)\u00a0Statement 1 and 2 together are sufficient to answer the question<\/p>\n

d)\u00a0Both the statements together are also not sufficient to answer the question<\/p>\n

Question 4:\u00a0<\/b>Read the following information and choose the appropriate option.
\nWhat is Ram\u2019s present age?
\nStatement I: 5 years ago Ram\u2019s age was twice the age of Shyam. Shyam\u2019s age was a perfect square back then and even now his age is a perfect square.
\nStatement II: Ram\u2019s age is 5 times the age of Mohan whose current age is the largest single digit prime number.<\/p>\n

a)\u00a0The question can be answered by using one of the statements alone but not by the other statement alone.<\/p>\n

b)\u00a0The question can be answered by using either statement alone.<\/p>\n

c)\u00a0The question can be answered by using both the statements together.<\/p>\n

d)\u00a0The question cannot be answered even by using both the statements together.<\/p>\n

Question 5:\u00a0<\/b>Is B taller than D?<\/p>\n

Statement 1:<\/strong> A is taller than B who is shorter than C.
\nStatement 2:<\/strong> C is taller than D who is taller than A.<\/p>\n

a)\u00a0Statement 1 alone is sufficient to answer the question<\/p>\n

b)\u00a0Statement 2 alone is sufficient to answer the question<\/p>\n

c)\u00a0Either Statement alone is sufficient to answer the question<\/p>\n

d)\u00a0Both Statement 1 and Statement 2 together are sufficient to answer this question<\/p>\n

e)\u00a0Both Statement 1 and Statement 2 together are also not sufficient to answer this question<\/p>\n

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

Each of the questions below consists of a question and two statements numbered 1\u00a0and 2\u00a0given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n

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

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

Question 6:\u00a0<\/b>Two persons A and B are standing some distance apart and start moving towards each other. They meet after a time \u2018t\u2019 seconds. What was the distance between them before they started moving towards each other?<\/p>\n

Statement 1:<\/strong> The speeds of A and B are \u2018v1\u2019 and \u2018v2\u2019 respectively.
\nStatement 2:<\/strong> The speeds of A and B are in the ratio 2:3.<\/p>\n

a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0If the data in either statement alone is sufficient.<\/p>\n

e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n

Question 7:\u00a0<\/b>Is x(y+2) an odd number, where x and y are distinct integers?
\nStatement I<\/strong>: x and y are prime numbers
\nStatement II<\/strong>: y>11<\/p>\n

a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0If the data in either statement alone is sufficient.<\/p>\n

e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n

 <\/p>\n

Question 8:\u00a0<\/b>In the decimal representation of a, where 0 < a < 1, is the digit in tenths place a non-zero number?
\nStatement I<\/strong>: 16a is an integer
\nStatement II<\/strong>: 32a is an integer<\/p>\n

a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0If the data in either statement alone is sufficient.<\/p>\n

e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n

Question 9:\u00a0<\/b>In a school 40% of the students in 12th standard are in Commerce stream and the rest in Science stream. If 20% of the students in Science stream are females, what is the percentage of males in the commerce stream?
\nStatement I<\/strong>. The number of females in the Science stream is 36 less than the number of boys
\nStatement II<\/strong>. forty-percent of all students in 12th standard are females<\/p>\n

a)\u00a0if the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0if the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0if the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0if the data in either statement alone is sufficient.<\/p>\n

e)\u00a0if the data even in both statements together is not sufficient to answer the question.<\/p>\n

Question 10:\u00a0<\/b>Is the positive integer X divisible by 12?
\nStatement I<\/strong>. When X is divided by 16 the remainder is 4
\nStatement II<\/strong>. When X is divided by 18 the remainder is 6<\/p>\n

a)\u00a0if the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0if the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0if the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0if the data in either statement alone is sufficient.<\/p>\n

e)\u00a0if the data even in both statements together is not sufficient to answer the question.<\/p>\n

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

Question 11:\u00a0<\/b>6 friends A, B, C, D, E, F are standing in a straight line according to their heights. (The tallest person is standing at the first position and shortest is at 6th position). Who is the shortest among the six?I A is taller than B, who in turn is taller than C and E
\nII E is three places behind B and 1 place ahead of F<\/p>\n

a)\u00a0If only statement I is sufficient to answer the question.<\/p>\n

b)\u00a0If only statement II is sufficient to answer the question.<\/p>\n

c)\u00a0If either of the statement taken alone is sufficient.<\/p>\n

d)\u00a0If question cannot be answered using both the statements.<\/p>\n

e)\u00a0If both the statements are required to answer the question.<\/p>\n

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

Each of the questions below consists of a question and two statements numbered 1\u00a0and 2\u00a0given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n

Question 12:\u00a0<\/b>N is 2 digit number such that it has an odd number of factors. What is the sum of the digits of N?
\nStatement I.<\/strong> The sum of the digits is not divisible by 3
\nStatement II.<\/strong> The sum of the digits is even<\/p>\n

a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n

b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n

c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n

d)\u00a0If the data in either statement alone is sufficient.<\/p>\n

e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n

Question 13:\u00a0<\/b>In a class of some students, 22 play harmonica, 30 play keyboard, and 28 play guitar. How many students play all the three instruments?
\nStatement I: The number of students who play exactly two instruments is 6
\nStatement II: The total number of students in the class is 150% more than the number of students who play guitar<\/p>\n

a)\u00a0The question can be answered using only statement I alone or only statement II alone.<\/p>\n

b)\u00a0The question can be answered using either statement alone.<\/p>\n

c)\u00a0The question can be answered only by using both statements together.<\/p>\n

d)\u00a0The question cannot be answered even by using both statements together.<\/p>\n

Question 14:\u00a0<\/b>Is x = y?
\nStatement 1: x+3y+4z = 80
\nStatement 2: 3x+2y+5z = 100<\/p>\n

a)\u00a0Statement 1 alone is sufficient to answer the question while Statement 2 alone is not<\/p>\n

b)\u00a0Statement 2 alone is sufficient to answer the question while Statement 1 alone is not<\/p>\n

c)\u00a0Both the statements together are sufficient to answer the question<\/p>\n

d)\u00a0Both the statements together are also not sufficient to answer the question<\/p>\n

Question 15:\u00a0<\/b>Two persons start running simultaneously around a circular track from the same point, at the same time and in the same direction. What is the ratio of speeds of the faster runner to that of the slower one?
\nI. The length of the track is 450m
\nII. When they met for the sixth time after starting the race, the slower person covered a distance of 3700m<\/p>\n

a)\u00a0The question can be answered by using statement I alone or using statement II alone<\/p>\n

b)\u00a0The question can be answered by using either statement alone.<\/p>\n

c)\u00a0The question can be answered only by using both statements together.<\/p>\n

d)\u00a0The question cannot be answered even by using both statements together.<\/p>\n

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

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

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

Let\u2019s assume Pam has a pen and b pencils, Ram has c pen and d pencils, and Sam has e pen and f pencils.<\/p>\n

So, a<b, c<d, and e<f<\/p>\n

Also, a+b+c+d+e+f = 18<\/p>\n

Now, let\u2019s assume A to be true.<\/p>\n

So, a+c+e = 6. So, a\/c\/e = 1\/2\/3 as all of them have distinct number of pens and pencils.<\/p>\n

Also, Ram has 3 pencils. So, the number of pen with him can be 1 or 2. So, answer cannot be determined from this alone.<\/p>\n

Assume B alone:<\/p>\n

a<c,e but a+b>c+d<\/p>\n

We know that each of them has distinct pen and pencils.<\/p>\n

Let\u2019s assume a,c,e are 1,2,3<\/p>\n

So, b,d,f (min) can be 2,3,4. But this case is not possible as Pam doesn\u2019t have more objects than Ram.<\/p>\n

Only case that can be is when a=1, c=2, and e=3 and b=5, d=3, and f=4<\/p>\n

So, we can determine the number of pens and pencils with Ram using B alone. Thus, B is the correct answer.<\/p>\n

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

Statement I: $(x-23)^2 = (y-23)^2$
\n=> $x-23 = \\pm (y-23)$
\n=> x=y or x+y = 46
\nStatement II: $(x+y)(\\frac{1}{x} + \\frac{1}{y}) – 4 = 0$
\n=> $\\frac{(x+y)^2}{xy} = 4 $
\n=> $\\frac{x^2 + y^2 + 2xy}{xy} = 4 $
\n=> $\\frac{x^2 + y^2}{xy} = 2 $ or $x^2 + y^2 -2xy = 0$
\n=> $(x-y)^2 = 0$ or x=y<\/p>\n

We can see that the question can be answered using statement 2 alone. Thus, A is the correct answer.<\/p>\n

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

The numbers must range from [5,13]
\nSince both 5 and 13 are included in the six numbers, the other 4 numbers must be among 6, 7, 8, 9, 10, 11 and 12.
\nLet\u2019s consider statement 1. So, the sum of the six numbers is 11 more than a perfect square. Min and Max sum of the six numbers can be 48 and 60. So the only perfect square that we should consider is 49. So, the sum of the six numbers should be 49+11 = 60
\nThis is only possible when the six numbers are 5, 9, 10, 11, 12, 13. Since the sum of the numbers is known, the average can be calculated.
\nStatement 2: So, exactly 3 of the six numbers are prime and the sum of the numbers is also prime.
\nNow, 5 and 13 are both prime. So, the third number should be either 7 or 11.
\nLet\u2019s consider 7 as the third prime.
\nSo, the sum should be 5+7+13 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) or 25 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) prime.
\nBut, none of the combination yields a prime sum.
\nLet\u2019s assume 11 is the third prime.
\nSo, the sum should be 5+11+13 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) or 29 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) prime.
\nSo, there are 2 possible cases when sum is prime.
\n(i) When the numbers are (5+11+13+6+8+10) where the sum is 53, and
\n(ii) When the numbers are (5+11+13+8+10+12) where the sum is 59
\nWe can see that the average will be different in both the cases. So, II is not sufficient.
\nThus, A is the correct answer.<\/p>\n

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

From I, the only possible age of Shyam is 9 years (Since the difference between his present age and his age 5 years ago are perfect squares with a difference of 5)
\nSince we know Shyam\u2019s age we can easily find the Ram\u2019s age as well. 5 years ago Ram’s age was twice the age of Shyam. So Shyam’s age would have been 4. Thus, Ram’s age would have been 8. Thus his present age would be 13.
\nThus I alone is sufficient to answer the question.
\nFrom II, we know that Moan\u2019s age is 7. Thus, Ram\u2019s age would be 35.
\nHence even statement II alone is sufficient. Hence the correct answer is option B.<\/p>\n

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

From the statements we know that the decreasing order of heights is:
\nC>D>A and
\nA>B<C
\nCombining these statements we know that, D>A>B. So B is shorter than D.<\/p>\n

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

From statement 1 we know that their speeds are v1 and v2. So the distance will be (v1+v2)*t.
\nFrom the second statement we only know the ratio of the speeds and without the absolute values we cannot compute the distance between them.<\/p>\n

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

x(y+2)
\nI: x and y are prime.
\nSo, if any of x and y is 2, x(y+2) is a even number. While, when both are odd x(y+2) is also odd.
\nII: y>11
\nThis is clearly not sufficient as even y will yield even number and odd x and y will yield odd number.
\nUsing I and II together:
\nSo, x=2 then the number is even, and when x is odd prime number, the number is odd.
\nThus, the question cannot be answered even by using both statements together.<\/p>\n

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

I: If 16a is an integer, a can be 1\/2, 1\/4, 1\/8, 1\/16 or 0.5, 0.25, 0.125, 0.0625
\nThus, from this statement, we can\u2019t infer that the tenth decimal digit is non-zero.
\nII: If 32a is an integer, a can be 1\/2, 1\/4, 1\/8, 1\/16, 1\/32 or 0.5, 0.25, 0.125, 0.0625, 0.03125
\nThus, from this statement, we can\u2019t infer that the tenth decimal digit is non-zero.
\nIf both statements are used, we can infer that \u2018a\u2019 is one among 0.5, 0.25, 0.125, 0.0625.
\nBut, even then we can\u2019t conclude that the tenth decimal digit is non-zero since 0.0625 has 0 has tenth decimal digit.
\nThus, the answer is E.<\/p>\n

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

Let the total number of students in 12th standard be x. Then total students in Commerce = .4x and students in Science = .6x
\nNumber of females in the Science stream = .6x $\\times$2 = .12x Thus, no. of males in the Science stream = .48x
\nFrom Statement I, .48x – .12x = 36
\n=> .36x = 36. Thus, x = 100. From this we cannot find the percentage of males in Commerce stream.
\nFrom statement II, Total girls in 12th = .4x
\nThus, total girls in Commerce stream = .4x – .12x = .28x
\nThus, total males in Commerce stream = Total students in Commerce – girls in Commerce = .4x – .28x = .12x
\nFrom this we can find the percent of male students in Commerce. Thus, B alone is enough to answer the given question.<\/p>\n

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

We have to find whether the given statements are enough to find whether X is divisible by 12 i.e. X is divisible by both 3 and 4.
\nFrom statement I, X is of the form 16m + 4. 16m + 4 is divisible by 4 but we cannot know whether X is divisible by 3 or not. Thus, statement I alone is not sufficient to answer the given question.
\nFrom statement II, X is of the form 18k + 6. 18k + 6 is divisible by 3 but we cannot know whether X is divisible by 4 or not. Thus, statement II alone is not sufficient sufficient to answer the given question.
\nIf we combine both the statements we find that X is divisible by both 3 and 4. Thus, both statements together can answer if X is divisible by 12. Thus, C is the right choice.<\/p>\n

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

From statement I alone, we cannot determine the position of anyone.
\nFrom statement II alone, we can infer some structure, but still we can’t conclude who is the shortest.
\nBut if combine both the statements, then from statement II, we can be sure that B is either at 1st position on at 2nd position. But from statement I, the possibility of B being at the first position can be ruled out. Hence B stands at 2nd position. So C is at fifth and F is at 6th.
\nHence if we combine both the statements together, then we can answer the given question.<\/p>\n

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

We are given that N is a two digit number having odd number of factors.
\nSo we can say that N is a perfect square.
\n2 digit perfect squares are 16, 25, 36, 49, 64, 81
\nThe sum of the digits of these numbers is as follow
\n16 – 7
\n25 – 7
\n36 – 9
\n49 – 13
\n64 – 10
\n81 – 9
\nFrom statement I we can rule out 9 but we still have 4 possibilities left. Hence we cannot answer the question from statement I alone.
\nFrom statement II, we know that the sum of the digits is even. There\u2019s only one sum which is even. i.e 10 Hence we can answer the question using statement II alone.<\/p>\n

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

The number of students who don\u2019t play any instrument has not been mentioned in the question or in the two statements. Without it, the number of students who play all the three instruments cannot be found out. Thus, the answer is D.<\/p>\n

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

To find the relation between x and y we first have to eliminate z.
\nMultiplying the equation from Statement 1 by 5 we get,
\n5x+15y+20z = 400 —- (1)
\nMultiplying the equation from Statement 2 by 4 we get,
\n12x+8y+20z = 400 —- (2)
\nSubtracting equation (1) from (2) we get, x = y.<\/p>\n

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

Let a m\/s be the speed of the faster person and b m\/s be the speed of the slower person
\nIn statement I, only the length of the track is given. We cannot find the ratio of their speeds from this information alone.
\nIn statement II, the distance travelled by the slower person is given but not the distance of the faster person. Thus, again we cannot find the ratio of their speeds from this information alone.
\nIf we combine both information we get, the length of track is 450m and distance travelled by the slower person after six meetings as 3700m.
\nWhen the two people meet for the first time, the faster one travels extra distance equal to the length of the track. Thus, the distance travelled by the faster persons after six meetings = 3700+ 450 x 6 = 6400m
\nThus, in equal time the faster one and the slower one travels 6400m and 3700m respectively.
\nThus, the ratio of their speeds = 6400\/3700 = 64 : 37
\nThus, the question can be answered if we combine both the statements together.<\/p>\n\n

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We hope this Data Sufficiency Questions set-2 pdf\u00a0 for RRB NTPC Exam will be highly useful for your Preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Data Sufficiency Questions for RRB NTPC Set-2 PDF Download RRB NTPC Data Sufficiency Questions and Answers set-2 PDF. Top 15 RRB NTPC Data Sufficiency questions based on asked questions in previous exam papers very important for the Railway NTPC exam. 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