Get 5 TISSNET mocks at just Rs.299<\/a><\/p>\n Download TISSNET previous papers PDF<\/a><\/p>\n Question 1:\u00a0<\/b>In a Green view apartment, the houses of a row are numbered consecutively from 1 to 49. Assuming that there is a value of \u2018x\u2019 such that the sum of the numbers of the houses preceding the house numbered \u2018x\u2019 is equal to the sum of the numbers of the houses following it. Then what will be the value of \u2018x\u2019?<\/p>\n a)\u00a021<\/p>\n b)\u00a030<\/p>\n c)\u00a035<\/p>\n d)\u00a042<\/p>\n Question 2:\u00a0<\/b>How many \u2018zeroes\u2019 are there in the following sequence which are immediately preceded by a nine but not immediately followed by seven? a)\u00a0One<\/p>\n b)\u00a0Two<\/p>\n c)\u00a0Three<\/p>\n d)\u00a0Four<\/p>\n Question 3:\u00a0<\/b>Arrange the following letters to form a meaningful word.<\/p>\n a)\u00a01 3 5 2 4 6 8 7<\/p>\n b)\u00a08 6 7 1 4 2 3 5<\/p>\n c)\u00a04 2 3 5 8 6 7 1<\/p>\n d)\u00a05 3 7 1 8 4 2 6<\/p>\n Question 4:\u00a0<\/b>There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and last three is 12673. Find the first number.<\/p>\n a)\u00a019<\/p>\n b)\u00a017<\/p>\n c)\u00a013<\/p>\n d)\u00a0None of the above<\/p>\n Question 5:\u00a0<\/b>In the following series, what numbers should replace the question marks? a)\u00a011, 18, 27<\/p>\n b)\u00a0-1, 0, 3<\/p>\n c)\u00a03, 20, 25<\/p>\n d)\u00a0Cannot be ascertained<\/p>\n Download TISSNET Previous Papers PDF<\/a><\/p>\n Question 6:\u00a0<\/b>If k is an integer and $0.0010101\\times10^{k}$ is greater than 1000, what is the least possible value of k?<\/p>\n a)\u00a04<\/p>\n b)\u00a05<\/p>\n c)\u00a06<\/p>\n d)\u00a07<\/p>\n Question 7:\u00a0<\/b>In 2011, Plasma – a pharmaceutical company – allocated $Rs.4.5 \\times 10^{7}$ for Research and Development. In 2012, the company allocated Rs.60,000,000 for Research and Development. If each year the funds are evenly divided among $2 \\times 10^{2}$ departments, how much more will each department receive this year than it did last year?<\/p>\n a)\u00a0$Rs.2.0 \\times 10^{5}$<\/p>\n b)\u00a0$Rs.7.5 \\times 10^{5}$<\/p>\n c)\u00a0$Rs.7.5 \\times 10^{4}$<\/p>\n d)\u00a0$Rs.2.5 \\times 10^{7}$<\/p>\n Question 8:\u00a0<\/b>Z is the product of first 31 natural numbers. If X = Z + 1, then the numbers of primes among X + 1, X + 2, …, X + 29, X + 30 is<\/p>\n a)\u00a030<\/p>\n b)\u00a02<\/p>\n c)\u00a0Cannot be determined<\/p>\n d)\u00a0None of the above<\/p>\n Question 9:\u00a0<\/b>A sum of Rs.1400 is divided amongst A, B, C and D such that A\u2019s share : B\u2019s share = B\u2019s share : C\u2019s share = C\u2019s share = D\u2019s share = $\\frac{3}{4}$ how much is C\u2019s share?<\/p>\n a)\u00a0Rs.72<\/p>\n b)\u00a0Rs.288<\/p>\n c)\u00a0Rs.216<\/p>\n d)\u00a0Rs.384<\/p>\n Question 10:\u00a0<\/b>If the product of the integers a, b, c and d is 3094 and if 1 < a < b < c < d, what is the product of b and c?<\/p>\n a)\u00a026<\/p>\n b)\u00a091<\/p>\n c)\u00a0133<\/p>\n d)\u00a0221<\/p>\n Question 11:\u00a0<\/b>A rod is cut into 3 equal parts. The resulting portions are then cut into 12, 18 and 32 equal parts, respectively. If each of the resulting portions have integer length, the minimum length of the rod is<\/p>\n a)\u00a06912 units<\/p>\n b)\u00a0864 units<\/p>\n c)\u00a0288 units<\/p>\n d)\u00a0240 units<\/p>\n Question 12:\u00a0<\/b>The sum of $1 – \\frac{1}{6} + (\\frac{1}{6} \\times \\frac{1}{4})-(\\frac{1}{6} \\times \\frac{1}{4} \\times \\frac{5}{18})+$ …. is<\/p>\n a)\u00a0$\\frac{2}{3}$<\/p>\n b)\u00a0$\\frac{2}{\\sqrt{3}}$<\/p>\n c)\u00a0$\\sqrt{\\frac{2}{3}}$<\/p>\n d)\u00a0$\\frac{\\sqrt{3}}{2}$<\/p>\n Question 13:\u00a0<\/b>$2-\\frac{\\sqrt{6407522209}}{\\sqrt{3600840049}}=$<\/p>\n a)\u00a00.666039<\/p>\n b)\u00a00.666029<\/p>\n c)\u00a00.666009<\/p>\n d)\u00a0None of the above<\/p>\n Question 14:\u00a0<\/b>If $N = (11^{p + 7})(7^{q – 2})(5^{r + 1})(3^{s})$ is a perfect cube, where $p, q, r$ and $s$ are positive integers, then the smallest value of $p + q + r + s$ is :<\/p>\n a)\u00a05<\/p>\n b)\u00a06<\/p>\n c)\u00a07<\/p>\n d)\u00a08<\/p>\n e)\u00a09<\/p>\n Question 15:\u00a0<\/b>X and Y are the digits at the unit’s place of the numbers (408X) and (789Y) where X \u2260 Y. However, the digits at the unit’s place of the numbers $(408X)^{63}$ and $(789Y)^{85}$ are the same. What will be the possible value(s) of (X + Y)?<\/p>\n a)\u00a09<\/p>\n b)\u00a010<\/p>\n c)\u00a011<\/p>\n d)\u00a012<\/p>\n e)\u00a0None of the above<\/p>\n Question 16:\u00a0<\/b>Find the value of the expression: $10 + 10^3 + 10^6 + 10^9$<\/p>\n a)\u00a01010101010<\/p>\n b)\u00a01001000010<\/p>\n c)\u00a01001000110<\/p>\n d)\u00a01001001010<\/p>\n e)\u00a0100010001010<\/p>\n Question 17:\u00a0<\/b>If the sum of squares of two numbers is 97, then which one of the following cannot be their product?<\/p>\n a)\u00a0-32<\/p>\n b)\u00a016<\/p>\n c)\u00a048<\/p>\n d)\u00a064<\/p>\n Question 18:\u00a0<\/b>If one third of one-fourth of a number is 15, then three-tenth of that number is<\/p>\n a)\u00a061<\/p>\n b)\u00a054<\/p>\n c)\u00a046<\/p>\n d)\u00a038<\/p>\n Question 19:\u00a0<\/b>The number of integers between 300 and 1100 which are divisible by either 7 or 13 but not both is<\/p>\n a)\u00a0149<\/p>\n b)\u00a0158<\/p>\n c)\u00a0167<\/p>\n d)\u00a0176<\/p>\n Question 20:\u00a0<\/b>How many zeros would be there in $1024!$<\/p>\n a)\u00a0240<\/p>\n b)\u00a0248<\/p>\n c)\u00a0256<\/p>\n d)\u00a0253<\/p>\n Take TISSNET Mock Tests<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(C)<\/strong><\/p>\n It is given that sum of the first $(x – 1)$ numbers is equal to sum of the numbers from $(x + 1)$ to 49 2)\u00a0Answer\u00a0(A)<\/strong><\/p>\n We can see that only one zero present in the number such that it is\u00a0immediately preceded by a nine but not immediately followed by seven. It is shown in round braces. 4th from the left. Therefore, option A is the correct answer.<\/p>\n 3)\u00a0Answer\u00a0(C)<\/strong><\/p>\n OVERHEAD is the word that can be formed from the given letters. 4)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let ‘a’, ‘b’, ‘c’ and ‘d’ be the prime number in ascending order.\u00a0The product of the first three is 7429 and last three is 12673. Find the first number.<\/p>\n Given that $a*b*c =\u00a0 7429$ and\u00a0$b*c*d =\u00a0 12673$<\/p>\n Therefore, $\\dfrac{b*c*d}{a*b*c} =\u00a0\\dfrac{12673}{7429}$<\/p>\n $\\Rightarrow$\u00a0$\\dfrac{d}{a} =\u00a0\\dfrac{29}{17}$<\/p>\n Since a and d are prime number there won’t be any common factor which can divide both. Hence, a = 17, b = 19, c = 23 and d = 29.<\/p>\n Therefore, option B is the correct answer.<\/p>\n 5)\u00a0Answer\u00a0(C)<\/strong><\/p>\n The given series is a combination of 3 series:- 6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n 0.0010101 to make it greater than 1000 we will have to shift the decimal point by 6 places. 7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Total amount allotted in 2011 = 4.5*10$^7$ 8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n It is given that Z = 31! 9)\u00a0Answer\u00a0(D)<\/strong><\/p>\n A:B = B:C = C:D = 3:4 10)\u00a0Answer\u00a0(B)<\/strong><\/p>\n 3094 = 2*7*13*17 11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n The rod is cut into 3 equal parts thus the length of the rod will be a multiple of 3. 12)\u00a0Answer\u00a0(D)<\/strong><\/p>\n We can see that the magnitude in each succeeding term is less than that of preceding term.<\/p>\n Hence, we can say that for S = $1 – \\frac{1}{6} + (\\frac{1}{6} \\times \\frac{1}{4})-(\\frac{1}{6} \\times \\frac{1}{4} \\times \\frac{5}{18})+$ …<\/p>\n The value will lie between (5\/6, 1). We can check with option choices.<\/p>\n Option A:\u00a0$\\frac{2}{3}$ <\u00a0$\\frac{5}{6}$. Hence, this can’t be the answer.<\/p>\n Option B:\u00a0$\\frac{2}{\\sqrt{3}}$ = 1.155 > $1$. Hence, this can’t be the answer.<\/p>\n Option C:\u00a0$\\sqrt{\\frac{2}{3}}$ = 0.8164 <\u00a0$\\frac{5}{6}$. Hence, this can’t be the answer.<\/p>\n Option D:\u00a0$\\frac{\\sqrt{3}}{2}$ = 0.866. This lies between\u00a0(5\/6, 1).Hence, this is the correct answer.<\/p>\n 13)\u00a0Answer\u00a0(A)<\/strong><\/p>\n $2-\\frac{\\sqrt{6407522209}}{\\sqrt{3600840049}}=2-\\frac{80047}{60007}$ 14)\u00a0Answer\u00a0(E)<\/strong><\/p>\n It has been given that\u00a0$N = (11^{p + 7})(7^{q – 2})(5^{r + 1})(3^{s})$ is a perfect cube. All the factors given are prime. Therefore, the power of each number should be a multiple of 3 or 0.<\/p>\n $p,q,r$ and $s$ are positive integers. Therefore, only the power of the expressions in which some number is subtracted from these variables or these variables are subtracted from some number can be made $0$.<\/p>\n $11^{p + 7}$:<\/p>\n This expression must be made a perfect cube. The nearest perfect cube is $11^9$. Therefore, the least value that $p$ can take is $9-7=2$.<\/p>\n $7^{q – 2}$<\/p>\n The least value that $q$ can take is 2. If $q=2$, then the value of the expression $7^{q-2}$ will become $7^0=1$, without preventing the product from becoming a perfect cube.<\/p>\n $5^{r+1}$:<\/p>\n The least value that $r$ can take is $2$.<\/p>\n $3^{s})$:<\/p>\n The least value that $s$ can take is $3$.<\/p>\n Therefore, the least value of the expression\u00a0$p + q + r + s$ is $2+2+2+3=9$. 15)\u00a0Answer\u00a0(B)<\/strong><\/p>\n All numbers from 1 to 9 repeat their last digits over a cycle of 4. 16)\u00a0Answer\u00a0(D)<\/strong><\/p>\n $10 + 10^3 + 10^6 + 10^9 = 10 + 1000 + 1000000 + 1000000000$ 17)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Let ‘a’ and ‘b’ are those two numbers.<\/p>\n $\\Rightarrow$ $a^2+b^2 = 97$<\/p>\n $\\Rightarrow$ $a^2+b^2-2ab = 97-2ab$<\/p>\n $\\Rightarrow$ $(a-b)^2 = 97-2ab$<\/p>\n We know that $(a-b)^2$ $\\geq$ 0<\/p>\n $\\Rightarrow$ 97-2ab $\\geq$ 0<\/p>\n $\\Rightarrow$ ab $\\leq$ 48.5<\/p>\n Hence, ab $\\neq$ 64. Therefore, option D is the correct answer.<\/p>\n 18)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let the number be ‘x’<\/p>\n one-fourth of the number = $\\frac{1}{4}\\times x = \\frac{x}{4}$<\/p>\n one-third of one-fourth of the number = $\\frac{1}{3}\\times \\frac{x}{4} = \\frac{x}{12}$<\/p>\n Given, one-third of one-fourth of the number is = 15<\/p>\n $\\Rightarrow \\frac{x}{12} = 15$<\/p>\n $\\Rightarrow x = 180$<\/p>\n Hence the number is 180.<\/p>\n Then three-tenth of the number = $\\frac{3}{10}\\times x = \\frac{3}{10}\\times 180 = 54$<\/p>\n 19)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Multiples of 7 are {301,308 …………………………..1099} n=115<\/p>\n Multiples of 13 are {312,323,……………………………1092} n = 61<\/p>\n Multiples of 91 are {364,455……………………………1092} n= 9<\/p>\n Number of integers which are divisible by either 7 or 13 but not both is 115+61-2*9<\/p>\n =158<\/p>\n Hence B is the correct answer.<\/p>\n 20)\u00a0Answer\u00a0(D)<\/strong><\/p>\n The number of zeros in n! = highest power of 5 in n!<\/p>\n Highest power of 5 in 1024! = [$\\frac{1024}{5}$] + [$\\frac{1024}{25}$] +[$\\frac{1024}{125}$] + [$\\frac{1024}{625}$] where [ ]is the greatest integer function.<\/p>\n Highest power of 5 in 1024! = 204+ 40+ 8+ 1 = 253<\/p>\n
\n7090070890702030045703907<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/83170.png\")
<\/figure>\n
\n-1, 0, 1, 0, 2, 4, 1, 6, 9, 2, 12, 16, ? ? ?<\/p>\n
\nor, sum of $(x – 1)$ numbers = sum of first 49 numbers – sum of first $x$ numbers
\n$\\dfrac{x(x – 1)}{2} = \\dfrac{49 * 50}{2} – \\dfrac{x(x + 1)}{2}$
\nOn solving, we get $x$ = 35
\nHence, option C is the correct answer.<\/p>\n
\n709(0)070890702030045703907<\/p>\n
\nHence, option C is the correct answer.<\/p>\n
\n1st containing all 3n+1 terms i.e. 1st, 4th, 7th and so on terms:-
\n-1, 0, 1, 2 and thus, the next number will be 3.
\n2nd containing all 3n+2 terms i.e. 2nd, 5th, 8th and so on terms:-
\n0, 2, 6, 12 as we can see 2n is being added to each term to get the next term and thus the next term will be 20.
\n3rd containing all 3n terms i.e. 3rd, 6th, 9th and so on terms:-
\n1, 4, 9, 16 an we can see these are squares of the natural numbers and thus, the next term will be 25.
\nHence, ?,?,? will be 3, 20, 25
\nHence, option C is the correct answer.<\/p>\n
\nThus, we will have to multiply the given number by $10^6$.
\nHence, option C is the correct answer.<\/p>\n
\nTotal number of departments = 200
\nThus, the amount received by each department = 225000
\nTotal amount allotted in 2012 = 60000000
\nThe amount received by each department = 300000
\nThus the excess of amount each department is getting = 300000 – 225000 = 750000\u00a0 = Rs. 7.5*10$^4$
\nHence, option C is the correct answer.<\/p>\n
\nX = 31! + 1
\nX+1 = 31!+2 this is divisible by 2
\nX+2 = 31!+3 this is divisible by 3
\nX+3 = 31!+4 this is divisible by 4
\n.
\n.
\n.
\n.
\nX+29 = 31!+30 this is divisible by 30
\nX+30 = 31!+31 this is divisible by 31
\nHence, none of X + 1, X + 2, …, X + 29, X + 30 is a prime number.
\nHence, option D is the correct answer.<\/p>\n
\nLet C be 3x and D be 4x
\nB : C = 3 : 4 and C = 3x So, B = 9x\/4
\nA : B = 3 : 4 and B = 9x\/4 So, A = 27x\/16
\nTherefore, A : B : C : D is 27x\/16 : 9x\/4 : 3x : 4x
\nAlso, A + B + C + D = Rs.\u00a0 1400
\nOn solving, we get x = 128
\nTherefore, C’s share = 3x = Rs. 384
\nHence, option D is the correct answer.<\/p>\n
\nGiven, 1 < a < b < c < d
\nThus, a = 2, b = 7, c = 13 and d = 17
\nHence, b*c = 7*13 = 91
\nHence, option B is the correct answer.<\/p>\n
\nEach part is then cut into $12 = 2^2*3$
\n$18 = 2*3^2$ and $32 = 2^5$ parts and thus, each part of rod has to be a multiple of $2^5*3^2 = 288$
\nThus, the rod will be a multiple of $288*3 = 864$
\nThus, the minimum length of the rod is 864 units.
\nHence, option B is the correct answer.<\/p>\n
\n=$2-1.3339610$
\n$=0.666039$
\nTherefore, option A is the right answer.<\/p>\n
\nTherefore, option E is the right answer.<\/p>\n
\n63 can be written as 4k+3.
\n85 can be written as 4k+1.
\nSome number’s third power should yield the first digit as some number’s first power.
\n$2^3$ will yield $8$ as the last digit (2 and 8 is a possible solution).X+Y = 10
\n$3^3$ will yield $7$ as the last digit (3 and 7 is a possible solution).X + Y = 10
\n$4^3$ will yield $4$ as the last digit and hence, can be eliminated.
\n$5$ and $6$ yield $5$ and $6$ respectively as the last digit for any power and hence, can be eliminated.
\n$7^3$ will yield $3$ as the last digit\u00a0(7 and 3 is a possible solution). X+Y=10.
\n$8^3$ will yield $2$ as the last digit. 8+2 =10.
\nAs we can see, X+Y = 10 in all the cases. Therefore, option\u00a0B is the right answer.<\/p>\n
\n=$1001001010$
\nTherefore, option\u00a0D is the right answer.<\/p>\n