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Download DUET Master 2018 DU MCA Question Paper With Answer Key

Download DUET (Delhi University Entrance Test conducted by the NTA) 2018 DU MCA Question Paper With Solution Key

This post was last modified on 29 January 2020

Tags:DUETDelhi University Entrance TestNTAMCAMaster2018Question PaperAnswer KeyPDFDownloadPrevious YearEntrance Exam
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DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA


Topic:- DU_J18_MCA_Topic01

  1. In C language find the odd man out: [Question ID = 4098]
    1. while - statement [Option ID = 16392]
    2. switch - statement [Option ID = 16391]

      3. --- Content provided by​ FirstRanker.com ---

    3. for - statement [Option ID = 16389]
    4. do-while - statement [Option ID = 16390]
    Correct Answer :- switch - statement [Option ID = 16391]
  2. A group of students decided to go on picnic and planned to spend Rs. 6000/-. Four of them did not go on picnic. As a consequence each of the remaining had to contribute Rs. 400/- extra. The number of students who went on picnic are: [Question ID = 4100]
    1. 6 [Option ID = 16398]
    2. 10 [Option ID = 16397]

      3. --- Content provided by‍ FirstRanker.com ---

    3. 8 [Option ID = 16399]
    4. 4 [Option ID = 16400]
    Correct Answer :- 6 [Option ID = 16398]
  3. The code of TIGER is VMMMB and the code of DOG is FSM. What is the code of FLY? [Question ID = 4103]
    1. HPE [Option ID = 16411]
    2. GOD [Option ID = 16409]

      3. --- Content provided by‍ FirstRanker.com ---

    3. HOE [Option ID = 16410]
    4. GPE [Option ID = 16412]
    Correct Answer :- HPE [Option ID = 16411]
  4. If Laugh is to Joy then Cry is to __________. [Question ID = 4099]
    1. Panic [Option ID = 16395]
    2. Sorrow [Option ID = 16394]

      3. --- Content provided by FirstRanker.com ---

    3. Sad [Option ID = 16393]
    4. Tragic [Option ID = 16396]
    Correct Answer :- Sorrow [Option ID = 16394]
  5. The complex numbers z1, z2 and origin form an equilateral triangle only if: [Question ID = 4128]
    1. z12 + z22 + z1z2 = 0. [Option ID = 16512]
    2. z12 + z22 - z1z2 = 0. [Option ID = 16511]

      3. --- Content provided by‍ FirstRanker.com ---

    3. z12 + z22 + 2z1z2 = 0. [Option ID = 16509]
    4. z12 + z22 - 2z1z2 = 0. [Option ID = 16510]
    Correct Answer :- z12 + z22 - z1z2 = 0. [Option ID = 16511]
  6. X is 8 years older to Y and 5 years younger to Z. W and Y are twins. The average age of ward Z is 12 years. What is the age of W?

[Question ID = 4134]

--- Content provided by​ FirstRanker.com ---

  1. 16 [Option ID = 16534]
  2. 19 [Option ID = 16533]
  3. 6 [Option ID = 16536]
  4. 9 [Option ID = 16535]
Correct Answer :-
  • In C language which of the following operators have highest precedence? [Question ID = 4135]
    1. [] [Option ID = 16538]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. ?: [Option ID = 16540]
    3. = [Option ID = 16539]
    4. & [Option ID = 16537]
    Correct Answer :- [] [Option ID = 16538]
  • Let y(x) be a solution of the differential equation (1 + ex)y' + y ex = 1. If y(0) = 2, then y(-4) is equal to: [Question ID = 4110]
    1. 8/1+e4 [Option ID = 16438]

      2. --- Content provided by FirstRanker.com ---

    2. 1 [Option ID = 16437]
    3. 0 [Option ID = 16439]
    4. 2e4/1+e4 [Option ID = 16440]
    Correct Answer :- 0 [Option ID = 16439]
  • The minimum value of the function f(x) = 2|x-1| + |x-2| is: [Question ID = 4122]
    1. 3 [Option ID = 16486]

      2. --- Content provided by​ FirstRanker.com ---

    2. 1 [Option ID = 16488]
    3. 0 [Option ID = 16485]
    4. 2 [Option ID = 16487]
    Correct Answer :- 1 [Option ID = 16488]
  • Let P =
    1 0 1
    0 0 0
    1 0 1
    and Q =
    1 -1 1
    0 1 0
    -1 -1 2
    be two matrices. Then: [Question ID = 4133]

    --- Content provided by‍ FirstRanker.com ---

    P and Q have not common vector (1, 0, 1). [Option ID = 16529]

    • P and Q have common vector (1,0,1) but corresponding eigenvalues for P and Q are different.

    1. [Option ID = 16532]
    2. P and Q have common vector (1, 0, 1) and common eigenvalues 3. [Option ID = 16531]
    3. P and Q have common vector (1, 0, 1) and common eigenvalues 1. [Option ID = 16530]

      4. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    P and Q have common vector (1, 0, 1) but corresponding eigenvalues for P and Q are different.

    [Option ID = 16532]
  • The locus of a point P which moves in R³ such that 3PA = 2PB, where A(1, 3, 4) and B(1, -2, -1), is a sphere of radius: [Question ID = 4119]
    1. 7v2/3 [Option ID = 16473]
    2. 4v7/5 [Option ID = 16475]
    3. 6v2/5 [Option ID = 16474]
    4. 2v6/5 [Option ID = 16476]

      5. --- Content provided by‌ FirstRanker.com ---

    Correct Answer :- 6v2/5 [Option ID = 16474]
  • The distance of a point on the surface xyz² = 8 nearest to the origin is: [Question ID = 4107]
    1. 4 [Option ID = 16428]
    2. 2v2 [Option ID = 16425]
    3. 8 [Option ID = 16427]
    4. v10 [Option ID = 16426]

      5. --- Content provided by⁠ FirstRanker.com ---

    Correct Answer :- 2v2 [Option ID = 16425]
  • Which one of the following sequence is a convergent sequence: [Question ID = 4132]
    1. < sin np/3 > [Option ID = 16526]
    2. < cos np/3 > [Option ID = 16525]
    3. < (-1)n/n > [Option ID = 16528]
    4. < (-1)n.n > [Option ID = 16527]

      5. --- Content provided by​ FirstRanker.com ---

    Correct Answer :- < (-1)n/n > [Option ID = 16528]
  • Let R be a ring of 2x2 matrices over integers and A = {
    a 0
    0 b
    : a, b ? Z} and B = {
    0 a
    0 b
    : a, b ? Z}. Then [Question ID = 4124]
    1. B is left ideal of R and A is right ideal of R. [Option ID = 16496]
    2. B is right ideal of R. [Option ID = 16494]
    3. A is left ideal of R. [Option ID = 16493]
    4. A and B both are left ideals of R. [Option ID = 16495]

      5. --- Content provided by FirstRanker.com ---

    Correct Answer :- B is left ideal of R and A is right ideal of R. [Option ID = 16496]
  • Let T: Rm ? Rn be a subjective (onto) linear transformation. If T(v) = 0 has a non-trivial solution in Rm, then which one of the following values is possible for the ordered pair (m, n)? [Question ID = 4106]
    1. (1,7) [Option ID = 16423]
    2. (7,6) [Option ID = 16422]
    3. (7,12) [Option ID = 16424]
    4. (7,7) [Option ID = 16421]

      5. --- Content provided by FirstRanker.com ---

    Correct Answer :- (7,6) [Option ID = 16422]
  • Let D = {(x, y) | y = 0, 4 = x² + y² = 9} then ?D (x + 1)dA, when expressed in polar coordinates, is equivalent to: [Question ID = 4113]
    1. ? (r² cos? + 1)drd? [Option ID = 16451]
    2. ? (r² cos? + r)drd? [Option ID = 16452]
    3. ? (r² cos? + r)drd? [Option ID = 16450]
    4. ? (r² cos? + r)drd? [Option ID = 16449]

      5. --- Content provided by​ FirstRanker.com ---

    Correct Answer :- ? (r² cos? + r)drd? [Option ID = 16450]
  • The number of homomorphism from the ring of integers Z to an arbitrary ring R is: [Question ID = 4126]
    1. 1 [Option ID = 16502]
    2. 0 [Option ID = 16501]
    3. Infinite [Option ID = 16504]
    4. 1 [Option ID = 16503]

      5. --- Content provided by‍ FirstRanker.com ---

    Correct Answer :- 1 [Option ID = 16503]
  • Let U1 and U2 be subspaces of IR4 over the field IR be defined by U1 = {(x, y, z, w) | y + z + w = 0} and U2 = {(x, y, z, w) | x + y = 0, z = 2w}. Then dim(U1n U2) is: [Question ID = 4115]
    1. 2 [Option ID = 16458]
    2. 3 [Option ID = 16459]
    3. 4 [Option ID = 16460]
    4. 1 [Option ID = 16457]

      5. --- Content provided by​ FirstRanker.com ---

    Correct Answer :- 1 [Option ID = 16457]
  • Let <Sn> be a sequence defined by S1 = 1, Sn+1 = 3+2Sn/2+Sn, n = 1. Then <Sn> is: [Question ID = 4130]
    1. Convergent sequence and converges to 3/2 [Option ID = 16519]
    2. Oscillate sequence. [Option ID = 16517]
    3. Convergent sequence and converges to v3. [Option ID = 16520]
    4. Divergent sequence. [Option ID = 16518]

      5. --- Content provided by FirstRanker.com ---

    Correct Answer :- Convergent sequence and converges to v3. [Option ID = 16520]
  • If
    2
    p
    is an eigenvector of the matrix A =
    3 1
    -4 10
    then p is equal to: [Question ID = 4116]
    1. 17 [Option ID = 16463]
    2. 31 [Option ID = 16461]
    3. 19 [Option ID = 16462]
    4. 16 [Option ID = 16464]

      5. --- Content provided by FirstRanker.com ---

    Correct Answer :- 17 [Option ID = 16463]
  • Which one of the set of vectors is linearly independent? [Question ID = 4127]
    1. (1, 2, 3, 4), (0, 1, -1, 2), (1, 5, 1, 8), (3, 7, 8, 14) [Option ID = 16508]
    2. (1, -1, 2, 0), (3, 0, 0, 1), (2, 1, -1, 0), (1, -1, 2, 0) [Option ID = 16505]
    3. (1, 1, 2), (-3, 1, 0), (1, -1, 1), (1, 2, 3) [Option ID = 16506]
    4. (1, 0, 0), (1, 1, 1), (1, 2, 3) [Option ID = 16507]

      5. --- Content provided by⁠ FirstRanker.com ---

    Correct Answer :- (1, 0, 0), (1, 1, 1), (1, 2, 3) [Option ID = 16507]
  • The matrix
    1 5 3
    1 2 6
    -2 -1 -3
    is: [Question ID = 4125]
    1. An involuntary. [Option ID = 16497]
    2. Nilpotent. [Option ID = 16498]
    3. An idempotent. [Option ID = 16499]
    4. Skew-symmetric. [Option ID = 16500]

      5. --- Content provided by⁠ FirstRanker.com ---

    Correct Answer :- Nilpotent. [Option ID = 16498]
  • If m and n are the orders of permutations s = (4,5) (2,3,7) and t = (1,4) (3,7,5, 8), respectively, in the group S8, then the ordered pair (m, n) is equal to: [Question ID = 4118]
    1. (3, 4) [Option ID = 16472]
    2. (6,4) [Option ID = 16469]
    3. (6, 2) [Option ID = 16471]
    4. (4,6) [Option ID = 16470]

      5. --- Content provided by⁠ FirstRanker.com ---

    Correct Answer :- (6,4) [Option ID = 16469]
  • On a certain day, a scientist had 1 kg of a radioactive substance X at 12:00 noon. The substance follows an exponential decay. If only 64 gm of the substance remained after 6 hours, then the amount (in gm) of substance X at 4:00 pm on the same day is: [Question ID = 4105]
    1. 80 [Option ID = 16417]
    2. 120 [Option ID = 16418]
    3. 160 [Option ID = 16419]
    4. 200 [Option ID = 16420]

      5. --- Content provided by​ FirstRanker.com ---

    Correct Answer :- 160 [Option ID = 16419]
  • The volume of the solid obtained by rotating the region bounded by the lines x = 0, x = 2, and y = 0, and the curve y = 1 + x2/4 about the y-axis is: [Question ID = 4120]
    1. 12p [Option ID = 16477]
    2. 4 p [Option ID = 16480]
    3. 8 p [Option ID = 16478]
    4. 6 p [Option ID = 16479]

      5. --- Content provided by‌ FirstRanker.com ---

    Correct Answer :- 6 p [Option ID = 16479]
  • Using 2's complement number system perform the indicated operation:
    00100011
    - 00100110
    The result of the operation is: [Question ID = 4137]
    1. 00000011 [Option ID = 16548]

      2. --- Content provided by‌ FirstRanker.com ---

    2. 01001001 [Option ID = 16545]
    3. 11111101 [Option ID = 16547]
    4. 01001010 [Option ID = 16546]
    Correct Answer :- 11111101 [Option ID = 16547]
  • The volume lying inside the cylinder x² + y² = 25 and between the planes z = 2 and x + z = 8 is: [Question ID = 4121]
    1. 50 p [Option ID = 16484]

      2. --- Content provided by FirstRanker.com ---

    2. 75 p [Option ID = 16483]
    3. 150 p [Option ID = 16482]
    4. 175 p [Option ID = 16481]
    Correct Answer :- 150 p [Option ID = 16482]
  • The radius of convergence of the series x + 1.3/2.4 x² + 1.3.5/2.4.6 x³ +... is: [Question ID = 4131]
    1. 0 [Option ID = 16521]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. 5/2 [Option ID = 16524]
    3. 3/2 [Option ID = 16523]
    4. 1 [Option ID = 16522]
    Correct Answer :- 3/2 [Option ID = 16523]
  • Consider two improper integrals I1 = ?02 dx/(2-x)1/2 and I2 = ?04 dx/(4-x)3/2 Then: [Question ID = 4112]
    1. Both I1 and I2 are divergent. [Option ID = 16447]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. Both I1 and I2 are convergent. [Option ID = 16448]
    3. I1 is divergent and I2 is convergent. [Option ID = 16446]
    4. I1 is convergent and I2 is divergent. [Option ID = 16445]
    Correct Answer :- I1 is convergent and I2 is divergent. [Option ID = 16445]
  • Let A be a 3 x 3 matrix with trace 10. if (1, 2, 1)T and (1, 1, 0)T are eigenvectors with same eigenvalue 7 of A, then the determinant of A is: [Question ID = 4123]
    1. -196 [Option ID = 16489]

      2. --- Content provided by‍ FirstRanker.com ---

    2. 196 [Option ID = 16490]
    3. 98 [Option ID = 16492]
    4. -49 [Option ID = 16491]
    Correct Answer :- -196 [Option ID = 16489]
  • The coefficient of (x-8)2 in the Taylor's series expansion of the function f(x) = x1/3 about x = 8 is: [Question ID = 4109]
    1. 1/288 [Option ID = 16433]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. 1/96 [Option ID = 16435]
    3. 1/144 [Option ID = 16436]
    4. 1/32 [Option ID = 16434]
    Correct Answer :- 1/144 [Option ID = 16436]
  • Let f be differentiable on an interval I and f' be bounded on 1. Then: [Question ID = 4129]
    1. f is continuous but not uniformly continuous. [Option ID = 16516]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. f is not continuous. [Option ID = 16513]
    3. f is uniformly continuous on 1. [Option ID = 16514]
    4. Neither f is continuous on I nor f is uniformly continuous on 1. [Option ID = 16515]
    Correct Answer :- f is uniformly continuous on I. [Option ID = 16514]
  • Let f(x)=
    xe-x2, |x| = 1,
    e-1, |x| > 1,
    Then [Question ID = 4138]
    1. f'(1) = 0 [Option ID = 16551]

      2. --- Content provided by⁠ FirstRanker.com ---

    2. f'(-1) = 0 [Option ID = 16552]
    3. f is not differentiable at x =1 and x = -1. [Option ID = 16549]
    4. f'(0) = 0 [Option ID = 16550]
    Correct Answer :- f is not differentiable at x =1 and x = -1. [Option ID = 16549]
  • Let S = {(x, y) | 0 = x = 1, 0 = y = 1}. Then the value of ? (xyî + yzj + xzk)dr is equal to: [Question ID = 4108]
    1. -1/2 [Option ID = 16430]

      2. --- Content provided by‌ FirstRanker.com ---

    2. -1/3 [Option ID = 16432]
    3. 1/3 [Option ID = 16431]
    4. 1/2 [Option ID = 16429]
    Correct Answer :- -1/2 [Option ID = 16430]
  • The power series ?n=28 (x-4)n/n ln2 n is: [Question ID = 4111]
    1. convergent in(3, 5). [Option ID = 16441]

      2. --- Content provided by‍ FirstRanker.com ---

    2. divergent when x=3. [Option ID = 16442]
    3. divergent in (3, 5). [Option ID = 16443]
    4. convergent in (0, 1). [Option ID = 16444]
    Correct Answer :- convergent in(3, 5). [Option ID = 16441]
  • If x = u + v/2 and y = v/2 and D is the region bounded by x² - 2xy + 5y² = 1, then the value of ?D 2dA, is: [Question ID = 4114]
    1. 2p [Option ID = 16456]

      2. --- Content provided by​ FirstRanker.com ---

    2. 2 [Option ID = 16454]
    3. 1 [Option ID = 16453]
    4. p [Option ID = 16455]
    Correct Answer :- p [Option ID = 16455]
  • Let R be the ring of real-valued continuous functions on closed interval [0, 1]. If M = {f? R | f(1/2) = 0}, then M is a: [Question ID = 4117]
    1. neither maximal nor prime ideal [Option ID = 16467]

      2. --- Content provided by FirstRanker.com ---

    2. both maximal and prime ideal [Option ID = 16468]
    3. maximal ideal but not a prime ideal [Option ID = 16465]
    4. prime ideal but not a maximal ideal [Option ID = 16466]

    • both maximal and prime ideal [Option ID = 16468]

    --- Content provided by‍ FirstRanker.com ---

  • The expression a > 6 || a < 7 && a != 10 is evaluated as: [Question ID = 4136]
    1. a> 6 || a < 7 && (a != 10) [Option ID = 16542]
    2. a> 6 || (a<7 && a != 10) [Option ID = 16544]
    3. (a > 6 || a<7) && a != 10 [Option ID = 16543]
    4. (a > 6 || a < 7 && a != 10) [Option ID = 16541]
    Correct Answer :- a> 6 || a < 7 && (a != 10) [Option ID = 16542]

    • --- Content provided by FirstRanker.com ---

  • Find the ODD man out:
    4 – 16 – 256,
    5 – 25 – 625,
    7 – 49 – 343,
    8 – 64 – 4096. [Question ID = 4101]
    1. 5-25-625. [Option ID = 16403]

      2. --- Content provided by‍ FirstRanker.com ---

    2. 8-64-4096 [Option ID = 16401]
    3. 7-49-343. [Option ID = 16402]
    4. 4-16-256. [Option ID = 16404]
    Correct Answer :- 7 - 49 - 343. [Option ID = 16402]
  • The next term in the series: 4, 14, 45, 139, ? is: [Question ID = 4102]
    1. 517 [Option ID = 16405]

      2. --- Content provided by‌ FirstRanker.com ---

    2. 522 [Option ID = 16407]
    3. 422 [Option ID = 16408]
    4. 417 [Option ID = 16406]
    Correct Answer :- 422 [Option ID = 16408]

    • Topic:- DU_J18_MCA_Topic02

    --- Content provided by⁠ FirstRanker.com ---

  • Like so much else in the world's largest democracy, household finance in India is unique. There is, for example, a strong tendency to keep wealth in physical assets - gold and property. Levels of pension wealth are worrying low, as is take-up of all types of insurance, even in areas which are prone to natural disasters. When emergency expenditures are necessary, for example, for health reasons, there are high levels of reliance on unsecured debt from non-institutional sources.
    Why are these issues important?
    For one, we are sitting on a demographic time-bomb. The number of Indians over the age of 60 has hit an all-time high, with the most recent figures showing that this demographic comprises 8.6 percent of the population, with a climbing age dependency ratio (currently at 14.2 percent). We can expect this elderly cohort to grow rapidly in coming years. Indians have traditionally shunned pension plans in favor of traditional arrangements in which the younger generation takes care of their elders. But these traditional structures are under increasing pressure, putting families in a potentially vulnerable position.
    For another, the lack of widespread insurance can see the

    This download link is referred from the post: DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

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    • This post was last modified on 29 January 2020