{"id":37957,"date":"2019-11-22T11:33:12","date_gmt":"2019-11-22T06:03:12","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=37957"},"modified":"2019-11-22T11:33:12","modified_gmt":"2019-11-22T06:03:12","slug":"algebra-questions-for-iift-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/algebra-questions-for-iift-pdf\/","title":{"rendered":"Algebra Questions for IIFT PDF"},"content":{"rendered":"

Algebra Questions for IIFT PDF<\/strong><\/span><\/h2>\n

Download important IIFT Algebra Questions PDF based on previously asked questions in IIFT and other MBA exams. Practice Algebra Questions and answers for IIFT and other\u00a0 exams.<\/p>\n

Download Algebra Questions for IIFT PDF<\/a><\/p>\n

Get 5 IIFT mock tests for Rs. 299. Enroll here<\/a><\/p>\n

Download IIFT Previous Papers PDF<\/a><\/p>\n

Take IIFT Mock Tests (With Solutions)<\/a><\/p>\n

Question 1:\u00a0<\/b>How many different pairs(a,b) of positive integers are there such that $a\\geq b$ and $\\frac{1}{a}+\\frac{1}{b}=\\frac{1}{9}$?<\/p>\n

Question 2:\u00a0<\/b>The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the nth day of 2007 (n=1, 2, …, 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, …, 365). On which date in 2007 will the prices of these two varieties of tea be equal?<\/p>\n

a)\u00a0May 21<\/p>\n

b)\u00a0April 11<\/p>\n

c)\u00a0May 20<\/p>\n

d)\u00a0April 10<\/p>\n

e)\u00a0June 30<\/p>\n

Question 3:\u00a0<\/b>Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank the cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the cylindrical tank have when it was full?<\/p>\n

a)\u00a0700<\/p>\n

b)\u00a01000<\/p>\n

c)\u00a01100<\/p>\n

d)\u00a01200<\/p>\n

Question 4:\u00a0<\/b>Which one of the following conditions must p, q and r satisfy so that the following system of linear simultaneous equations has at least one solution, such that p + q + r $\\neq$ 0?
\nx+ 2y – 3z = p
\n2x + 6y – 11z = q
\nx – 2y + 7z = r<\/p>\n

a)\u00a05p -2q – r = 0<\/p>\n

b)\u00a05p + 2q + r = 0<\/p>\n

c)\u00a05p + 2q – r = 0<\/p>\n

d)\u00a05p – 2q + r = 0<\/p>\n

Question 5:\u00a0<\/b>Consider the following steps :
\n1. Put x = 1, y = 2
\n2. Replace x by xy
\n3. Replace y by y +1
\n4. If y = 5 then go to step 6 otherwise go to step 5.
\n5. Go to step 2
\n6. Stop Then the final value of x equals<\/p>\n

a)\u00a01<\/p>\n

b)\u00a024<\/p>\n

c)\u00a0120<\/p>\n

d)\u00a0720<\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

Question 6:\u00a0<\/b>The sum of the possible values of X in the equation |X + 7| + |X – 8| = 16 is:<\/p>\n

a)\u00a00<\/p>\n

b)\u00a01<\/p>\n

c)\u00a02<\/p>\n

d)\u00a03<\/p>\n

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

Question 7:\u00a0<\/b>The number of solutions $(x, y, z)$ to the equation $x – y – z = 25$, where x, y, and z are positive integers such that $x\\leq40,y\\leq12$, and $z\\leq12$ is<\/p>\n

a)\u00a0101<\/p>\n

b)\u00a099<\/p>\n

c)\u00a087<\/p>\n

d)\u00a0105<\/p>\n

Question 8:\u00a0<\/b>If $12x^2- ax + 7 = ax^2 + 9x + 3$ has only one (repeated) solution, then the positive integral solution of a is:<\/p>\n

a)\u00a02<\/p>\n

b)\u00a04<\/p>\n

c)\u00a03<\/p>\n

d)\u00a05<\/p>\n

Question 9:\u00a0<\/b>If $13x^2 = 17^2 – 9^2$, find the value of x?<\/p>\n

a)\u00a016<\/p>\n

b)\u00a012<\/p>\n

c)\u00a08<\/p>\n

d)\u00a04<\/p>\n

Question 10:\u00a0<\/b>If 5x + 5 > 2 + 2x and 5x + 3 \u2264 4x + 5; then x can take which of the following values?<\/p>\n

a)\u00a03<\/p>\n

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

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

d)\u00a01<\/p>\n

Get Complete MBA Test Series for Rs. 799<\/a><\/p>\n

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

1)\u00a0Answer:\u00a03<\/b><\/p>\n

$\\frac{1}{a}+\\frac{1}{b}=\\frac{1}{9}$
\n=> $ab = 9(a + b)$
\n=> $ab – 9(a+b) = 0$
\n=> $ ab – 9(a+b) + 81 = 81$
\n=> $(a – 9)(b – 9) = 81, a > b$
\nHence we have the following cases,
\n$ a – 9 = 81, b – 9 = 1$ => $(a,b) = (90,10)$
\n$ a – 9 = 27, b – 9 = 3$ => $(a,b) = (36,12)$
\n$ a – 9 = 9, b – 9 = 9$ => $(a,b) = (18,18)$
\nHence there are three possible positive integral values of (a,b)<\/p>\n

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

Price of Darjeeling tea on 100th day= 100+(0.1*100)=110
\nPrice of Ooty tea on nth day= 89+0.15n
\nLet us assume that the price of both varieties of tea would become equal on nth day where n<=100
\nSo
\n89+0.15n=100+0.1n
\nn=220 which does not satisfy the condition of n<=100
\nSo the price of two varieties would become equal after 100th day.
\n89+0.15n=110
\nn=140
\n140th day of 2007 is May 20 (Jan=31,Feb=28,March=31,April=30,May=20)<\/p>\n

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

Let the current capacity of conical flask be C. So, cylinder = C+500.<\/p>\n

After pumping out 200 liters, C+300 = 2(C-200) => C = 700<\/p>\n

So, full capacity of cylinder = 700+500 = 1200<\/p>\n

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

Substitute value of p,q,r in the options only option A satisfies .<\/p>\n

5(x+2y-3z)-2(2x+6y-11z)-(x-2y+7z) = 5x+10y-15z-4x-12y+22z-x+2y-7z \u00a0= 0<\/p>\n

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

1. x=1 ; y=2<\/p>\n

2. x=2 ; y=3<\/p>\n

3. x=6 ; y=4<\/p>\n

4. x=24 ; y=5<\/p>\n

Hence when y=5 , x will be 24<\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

Take IIFT Mock Tests (With Solutions)<\/a><\/p>\n

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

Expression : $|x + 7| + |x – 8| = 16$<\/p>\n

Case 1 : $x < -7$<\/p>\n

=> $-(x + 7) – (x – 8) = 16$<\/p>\n

=> $-2x + 1 = 16$<\/p>\n

=> $x = \\frac{-15}{2} = – 7.5$<\/p>\n

Case 2 : $-7 \\leq x < 8$<\/p>\n

=> $(x + 7) – (x – 8) = 16$<\/p>\n

=> $15 = 16$, which is not possible.<\/p>\n

Case 3 : $x \\geq 8$<\/p>\n

=> $(x + 7) + (x – 8) = 16$<\/p>\n

=> $2x – 1 = 16$<\/p>\n

=> $x = \\frac{17}{2} = 8.5$<\/p>\n

$\\therefore$ Sum of all possible values of $x = 8.5 – 7.5 = 1$<\/p>\n

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

x – y – z = 25 and\u00a0$x\\leq40,y\\leq12$,\u00a0$z\\leq12$
\nIf x = 40 then y + z = 15. Now since both y and z are natural numbers less than 12, so y can range from 3 to 12 giving us a total of 10 solutions.Similarly, if x = 39, then y +\u00a0z = 14. Now y can range from 2 to 12 giving us a total of 11 solutions.
\nIf x = 38, then y +\u00a0z = 13. Now y can range from 1 to 12 giving us a total of 12 solutions.
\nIf x = 37 then y + z = 12 which will give 11 solutions.
\nSimilarly on proceeding in the same manner the number of solutions will be 10, 9, 8, 7 and so on till 1.
\nHence, required number of solutions will be (1 + 2\u00a0+ 3 + 4 . . . . + 12) + 10 + 11
\n= 12*13\/2 + 21
\n78 + 21 = 99<\/p>\n

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

Given,\u00a0$12x^2- ax + 7 = ax^2 + 9x + 3$
\n$(a-12)x^2 + (a+9)x-4 = 0$
\nIf $ax^2+bx+c=0$ has equal roots, then $b^2 = 4ac$
\n$(a+9)^2 = 4(a-12)(-4)$
\n$a^2+81+18a = 192-16a$
\n$a^2+34a-111 = 0$
\nOn solving above equation, we get a = 3 and a = -37.
\nHere, The positive integral solution will be 3.<\/p>\n

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

Expression\u00a0:\u00a0$13x^2 = 17^2 – 9^2$<\/p>\n

=> $13 x^2 = (17 – 9) (17 + 9)$<\/p>\n

=> $13 x^2 = 8 \\times 26$<\/p>\n

=> $x^2 = 8 \\times 2 = 16$<\/p>\n

=> $x = \\sqrt{16} = 4$<\/p>\n

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

Expression 1\u00a0:\u00a05x + 5 > 2 + 2x<\/p>\n

=> $5x – 2x$\u00a0> $2 – 5$<\/p>\n

=> $3x$\u00a0> $-3$<\/p>\n

=> $x$\u00a0> $-1$ ————-(i)<\/p>\n

Expression 2\u00a0:\u00a05x + 3 \u2264 4x + 5<\/p>\n

=> $5x – 4x \\leq 5 – 3$<\/p>\n

=> $x \\leq 2$ ————(ii)<\/p>\n

Combining inequalities (i) and (ii), => $-1$\u00a0< $x \\leq 2$<\/p>\n

Thus, the values that $x$ can take = 0 , 1<\/strong> , 2<\/p>\n

=> Ans – (D)<\/p>\n

IIFT Previous year question papers PDF<\/a><\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

We hope this Algebra questions and answers for IIFT PDF will be helpful to you.<\/p>\n","protected":false},"excerpt":{"rendered":"

Algebra Questions for IIFT PDF Download important IIFT Algebra Questions PDF based on previously asked questions in IIFT and other MBA exams. Practice Algebra Questions and answers for IIFT and other\u00a0 exams. Download IIFT Previous Papers PDF Take IIFT Mock Tests (With Solutions) Question 1:\u00a0How many different pairs(a,b) of positive integers are there such that […]<\/p>\n","protected":false},"author":42,"featured_media":37963,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3,169,125,350,362,366],"tags":[3064,1195],"class_list":{"0":"post-37957","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"category-downloads","9":"category-featured","10":"category-iift","11":"category-snap","12":"category-xat","13":"tag-algebra-questions-for-iift","14":"tag-iift-2019"},"better_featured_image":{"id":37963,"alt_text":"Algebra Questions for IIFT PDF","caption":"Algebra Questions for IIFT PDF\n","description":"Algebra Questions for IIFT 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