Enroll to XAT 2023 Crash Course<\/a><\/p>\n Instructions<\/b><\/p>\n Read the following graph carefully and answer questions given below it.<\/p>\n Production of three Different Types of Tyres by a Company over the Years (in lakhs)<\/p>\n <\/p>\n Question 1:\u00a0<\/b>The total production of C type tyre in 1992 and 1993 together was what percentage of Production of B type tyres in 1994?<\/p>\n a)\u00a050<\/p>\n b)\u00a0100<\/p>\n c)\u00a0150<\/p>\n d)\u00a0200<\/p>\n e)\u00a0None of these<\/p>\n 1)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total production of C type tyre in 1992 and 1993 together (in lakhs) = 30 + 25 = 55<\/p>\n Production of B type tyres in 1994 (in lakhs) = 32.5<\/p>\n => Required % = $\\frac{55}{32.5} \\times 100$<\/p>\n $\\approx 170 \\%$<\/p>\n Thus, answer is none of these.<\/p>\n Question 2:\u00a0<\/b>In which of the following years was percentage production of B type tyres to C type tyres the maximum?<\/p>\n a)\u00a01994<\/p>\n b)\u00a01992<\/p>\n c)\u00a01996<\/p>\n d)\u00a01993<\/p>\n e)\u00a01995<\/p>\n 2)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Percentage production of B type tyres to C type tyres = Ratio of B type tyres to C type tyres in :<\/p>\n 1992 = $\\frac{20}{30}$ = 0.67<\/p>\n 1993 =\u00a0$\\frac{30}{25}$ =\u00a0\u00a01.2<\/p>\n 1994 =\u00a0$\\frac{32}{22.5}$ =\u00a01.4<\/p>\n 1995 =\u00a0$\\frac{37.5}{22.5}$ = 1.67\u00a0 \u00a0[MAX]<\/strong><\/p>\n 1996 =\u00a0$\\frac{15}{32.5}$ =\u00a00.4<\/p>\n => Ans – (E)<\/p>\n Question 3:\u00a0<\/b>The total number of all the three tyres manufactured was the least in which of the following years?<\/p>\n a)\u00a01995<\/p>\n b)\u00a01996<\/p>\n c)\u00a01992<\/p>\n d)\u00a01994<\/p>\n e)\u00a01993<\/p>\n 3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total number of all the three tyres manufactured\u00a0in\u00a0(in lakhs) :<\/p>\n 1992 : 25 + 20 + 30 = 75<\/p>\n 1993\u00a0:\u00a020 + 30 + 25 = 75<\/p>\n 1994\u00a0:\u00a032.5 + 32.5 + 22.5 = 87.5<\/p>\n 1995\u00a0:\u00a027.5 + 37.5 + 22.5 = 87.5<\/p>\n 1996\u00a0:\u00a015 + 15 + 32.5 = 62.5\u00a0 \u00a0[MIN]<\/strong><\/p>\n => Ans – (B)<\/p>\n Question 4:\u00a0<\/b>What was the difference between the number of B type tyres manufactured in 1994 and 1995?<\/p>\n a)\u00a05,00,000<\/p>\n b)\u00a020,00,000<\/p>\n c)\u00a010,00,000<\/p>\n d)\u00a015,00,000<\/p>\n e)\u00a0None of these<\/p>\n 4)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Number of B type tyres manufactured in 1994\u00a0= 32.5 lakhs<\/p>\n Number of B type tyres manufactured in 1995 = 37.5 lakhs<\/p>\n => Required difference = (37.5 – 32.5) lakhs = 5,00,000<\/p>\n => Ans – (A)<\/p>\n Question 5:\u00a0<\/b>What was the percentage drop in the number of C type tyres manufactured from 1993 to 1994?<\/p>\n a)\u00a025<\/p>\n b)\u00a010<\/p>\n c)\u00a015<\/p>\n d)\u00a02.5<\/p>\n e)\u00a0None of these<\/p>\n 5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Number of C type tyres manufactured\u00a0in 1993 (in lakhs) = 25<\/p>\n Number of C type tyres manufactured\u00a0in 1994 (in lakhs) =\u00a022.5<\/p>\n => Required % drop = $\\frac{(25 – 22.5)}{25} \\times 100$<\/p>\n = $2.5 \\times 4 = 10 \\%$<\/p>\n => Ans – (B)<\/p>\n Instructions<\/b><\/p>\n Read the following Table and answer the given questions<\/p>\n <\/p>\n <\/p>\n Question 6:\u00a0<\/b>In which of the following periodicals ,the student P obtained highest percentage of the marks?<\/p>\n a)\u00a0I<\/p>\n b)\u00a0II<\/p>\n c)\u00a0III<\/p>\n d)\u00a0IV<\/p>\n e)\u00a0V<\/p>\n 6)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total marks obtained by student P\u00a0:<\/p>\n I = 40 + 30 + 35 + 45 + 24 = 174<\/p>\n II = 30 + 40 + 25 + 47 + 28 = 170<\/p>\n III = 45 + 25 + 15 + 32 + 36 = 153<\/p>\n IV = 20 + 30 + 30 + 39 + 39 = 158<\/p>\n V = 35 + 20 + 40 + 37 + 43 = 175 \u00a0 \u00a0 \u00a0\u00a0[MAXIMUM]<\/strong><\/p>\n => Ans – (E)<\/p>\n Take XAT 2023 Mock Tests<\/a><\/p>\n Question 7:\u00a0<\/b>In which of the following subjects was the average percentage of marks obtained by student S the highest?<\/p>\n a)\u00a0Maths<\/p>\n b)\u00a0Science<\/p>\n c)\u00a0History<\/p>\n d)\u00a0Geography<\/p>\n e)\u00a0English<\/p>\n 7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total marks obtained by student S in subject\u00a0:<\/p>\n Maths = 25 + 35 + 40 + 45 + 30 = 175<\/p>\n Science = 31 + 34 + 38 + 27 + 30 = 160<\/p>\n History = 34 + 40 + 36 + 42 + 48 = 200 \u00a0 \u00a0\u00a0[MAXIMUM]<\/strong><\/p>\n Geography = 39 + 37 + 44 + 40 + 30 = 190<\/p>\n English = 31 + 34 + 35 + 45 + 40 = 185<\/p>\n => Ans – (C)<\/p>\n Question 8:\u00a0<\/b>The average percentage of marks obtained by student P in Maths in five periodicals was exactly equal to the average percentage of marks obtained by Student R in the five periodicals in which of the following subjects ?<\/p>\n a)\u00a0English<\/p>\n b)\u00a0Geography<\/p>\n c)\u00a0Science and Geography<\/p>\n d)\u00a0Maths<\/p>\n e)\u00a0None of these<\/p>\n 8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total marks obtained by student P in Maths = 40 + 30 + 45 + 20 + 35 = 170<\/p>\n => Average marks of P in Maths = $\\frac{170}{5} = 34$<\/p>\n Marks scored by student R in subject\u00a0:<\/p>\n Maths = 30 + 36 + 40 + 45 + 40 = 191<\/p>\n Science = 48 + 46 + 31 + 40 + 80 = 245<\/p>\n History = 35 + 45 + 40 + 30 + 35 = 185<\/p>\n Geography = 25 + 35 + 48 + 37 + 25 = 170<\/p>\n => Average marks of R in Geography = $\\frac{170}{5}=34$<\/p>\n => Ans – (B)<\/p>\n Question 9:\u00a0<\/b>what was the total marks of the student’s T in the science in all the periodicals together?<\/p>\n a)\u00a0160<\/p>\n b)\u00a0180<\/p>\n c)\u00a0190<\/p>\n d)\u00a0140<\/p>\n e)\u00a0None of these<\/p>\n 9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total marks of the student’s T in the science in all the periodicals together<\/p>\n = 44 + 36 + 40 + 30 + 40<\/p>\n = 190<\/p>\n => Ans – (C)<\/p>\n Question 10:\u00a0<\/b>What was the average marks of five Subjects of Q in the periodical I ?<\/p>\n a)\u00a032<\/p>\n b)\u00a034<\/p>\n c)\u00a040<\/p>\n d)\u00a030<\/p>\n e)\u00a0None of these<\/p>\n 10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total\u00a0marks of five Subjects of Q in the periodical I<\/p>\n = 30 + 25 + 33 + 42 + 30 = 160<\/p>\n => Required average = $\\frac{160}{5}=32$<\/p>\n => Ans – (A)<\/p>\n Instructions<\/b><\/p>\n Study the following graph carefully and answer the questions given below it. <\/p>\n <\/p>\n Question 11:\u00a0<\/b>In which of the following years was the total income more than double the total expenditure in that year for Company B?<\/p>\n a)\u00a01995<\/p>\n b)\u00a01993<\/p>\n c)\u00a01996<\/p>\n d)\u00a01992<\/p>\n e)\u00a0None of these<\/p>\n 11)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n For income to be more than double the total expenditure, the profit % = $\\frac{2I – I}{I} \\times 100$ = $100 \\%$<\/p>\n => Profit % must be more than 100%<\/p>\n But, as clearly seen from the line graph, for company B, the profit percent is not more than 100% for any year<\/p>\n => Ans – (E)<\/p>\n Question 12:\u00a0<\/b>If the total expenditure of company B in 1994 was Rs.200 crore ,what was the total income ?<\/p>\n a)\u00a0160 crores<\/p>\n b)\u00a0240 crores<\/p>\n c)\u00a0260 crore<\/p>\n d)\u00a0Data Inadequate<\/p>\n e)\u00a0None of these<\/p>\n 12)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total expenditure of company B in 1994 = Rs.200 crore<\/p>\n Profit % of company B in 1994 = 40%<\/p>\n Let total income = $Rs. x$ crore<\/p>\n =>\u00a0Profit % =\u00a0$\\frac{Income\u00a0 –\u00a0 Expenditure}{Expenditure} \\times 100$<\/p>\n => $\\frac{x – 200}{200} \\times 100 = 40$<\/p>\n => $\\frac{x – 200}{2} = 40$<\/p>\n => $x – 200 = 40 \\times 2 = 80$<\/p>\n => $x = 80 + 200 = 280$ crore<\/p>\n => Ans – (E)<\/p>\n Question 13:\u00a0<\/b>In how many of the given years the percentage of expenditure to the income of company A was less than fifty?<\/p>\n a)\u00a0One<\/p>\n b)\u00a0Two<\/p>\n c)\u00a0Three<\/p>\n d)\u00a0Four<\/p>\n e)\u00a0None of these<\/p>\n 13)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n For\u00a0percentage of expenditure to the income of company A to be less than fifty, => $\\frac{E}{I} \\leq \\frac{1}{2}$<\/p>\n => $2E \\leq I$, => $I – E \\geq\u00a0E$<\/p>\n It can be written as,<\/p>\n => $\\frac{I – E}{E} \\times 100 \\geq 100$<\/p>\n Thus, profit % should be more than 100% and clearly, for none of the years, profit percent for company A is more than 100%.<\/p>\n => Ans – (E)<\/p>\n Question 14:\u00a0<\/b>If the total Expenditure of 1993 and 1994 together of company B was Rs 270 crore,What was the total income of the in these companies?<\/p>\n a)\u00a0121.5 crore<\/p>\n b)\u00a0135 crore<\/p>\n c)\u00a0140 crore<\/p>\n d)\u00a0Data inadequate<\/p>\n e)\u00a0None of these<\/p>\n 14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Total Expenditure of 1993 and 1994 together of company B = Rs 270 crore<\/p>\n Also, profit % in 1993 = 50% and in 1994 = 40% for company B<\/p>\n But, no relation is given between the expenditures of both years or income of both years.<\/p>\n Thus, we cannot determine the total income for both years.<\/p>\n => Ans – (D)<\/p>\n Instructions<\/b><\/p>\n Study the following table carefully and answer the given questions<\/p>\n <\/p>\n Question 15:\u00a0<\/b>The total number of candidates qualified from Rural in 1993 and the semi urban in 1990 was exactly equal to the total no of candidates qualified from state -capitals in which of the following years?<\/p>\n a)\u00a01990<\/p>\n b)\u00a01993<\/p>\n c)\u00a01994<\/p>\n d)\u00a01992<\/p>\n e)\u00a0None of these<\/p>\n 15)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Number of candidates qualified from Rural in 1993 = 1798<\/p>\n Number of candidates qualified from Semi-Urban in 1990 = 2513<\/p>\n Total = 1798 + 2513 = 4311<\/p>\n Clearly, in none of the year, total number of qualified candidates from state-capitals (Metropolises) is equal to 4311<\/p>\n => Ans – (E)<\/p>\n Question 16:\u00a0<\/b>In 1993 the percentage of candidates qualified to the appeared was 35 from which location?<\/p>\n a)\u00a0Rural<\/p>\n b)\u00a0Rural and Metropolises<\/p>\n c)\u00a0Semi-urban and metropolises<\/p>\n d)\u00a0Rural and semi urban<\/p>\n e)\u00a0None of these<\/p>\n 16)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Percentage of qualified candidates to appeared candidates in 1993 in :<\/p>\n Rural = $\\frac{1798}{5032} \\times 100 =35.73 \\%$<\/p>\n Semi-Urban\u00a0= $\\frac{3528}{9432} \\times 100 = 37.40\\%$<\/p>\n Metropolises\u00a0= $\\frac{5158}{11247} \\times 100 = 45.86\\%$<\/p>\n Thus, from rural location\u00a0the percentage of candidates qualified to the appeared was approximately 35 in 1993<\/p>\n => Ans – (A)<\/p>\n Question 17:\u00a0<\/b>what was the percentage drop in the Number of semi urban candidates qualified to the appeared from 1991 to 1992?<\/p>\n a)\u00a05<\/p>\n b)\u00a010<\/p>\n c)\u00a015<\/p>\n d)\u00a08<\/p>\n e)\u00a012<\/p>\n 17)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Percentage of qualified candidates to appeared candidates in Semi-Urban in 1991<\/p>\n = $\\frac{2933}{8562} \\times 100 = 34.25 \\approx 34\\%$<\/p>\n Percentage of qualified candidates to appeared candidates in Semi-Urban in 1992<\/p>\n = $\\frac{2468}{8139} \\times 100 = 30.32 \\approx 30\\%$<\/p>\n $\\therefore$ Percentage drop = 34 – 30 = 4\u00a0$\\approx$ 5%<\/p>\n => Ans – (A)<\/p>\n Question 18:\u00a0<\/b>In which of the following years was the percentage of candidates qualified to the appeared from the semi-urban area least?<\/p>\n a)\u00a01991<\/p>\n b)\u00a01993<\/p>\n c)\u00a01990<\/p>\n d)\u00a01992<\/p>\n e)\u00a0None of these<\/p>\n 18)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Percentage of candidates qualified to the appeared from the semi-urban area in\u00a0:<\/p>\n (A) : 1991 = $\\frac{2933}{8562} \\times 100= 34.25\\%$<\/p>\n (B) : 1993 =\u00a0$\\frac{3528}{9432} \\times 100= 37.40\\%$<\/p>\n (C) : 1990 =\u00a0$\\frac{2513}{7894} \\times 100= 31.83\\%$<\/p>\n (D) : 1992 =\u00a0$\\frac{2468}{8139} \\times 100= 30.32\\%$ \u00a0 \u00a0\u00a0[MINIMUM]<\/strong><\/p>\n => Ans – (D)<\/p>\n Question 19:\u00a0<\/b>For the candidates from which of the following locations was there continuous increase both in the appeared and the passed?<\/p>\n a)\u00a0Semi urban<\/p>\n b)\u00a0State Capitals<\/p>\n c)\u00a0State capitals and rural<\/p>\n d)\u00a0Metropolis<\/p>\n e)\u00a0None of these<\/p>\n 19)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n In Rural location, the number of candidates appeared in 1994 decreased as compared to 1993.<\/p>\n Similarly, in semi-urban and Metropolises location, the number\u00a0of candidates appeared in 1992 decreased as compared to 1991.<\/p>\n Thus, in none of the locations,\u00a0there was a continuous increase both in the appeared and the passed.<\/p>\n => Ans – (E)<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/production%2011.png\")
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\nNet Profit Percentage of the two Companies over the years?<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/Picture3_vk2cb6x.png\")
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