Take a free mock test for SSC MTS<\/a><\/p>\n SSC MTS Previous Papers<\/a> (Download PDF)<\/p>\n Instructions<\/b><\/p>\n Question 1:\u00a0<\/b>A number is increased by 10% and then decreased by 10% then by what percent should the value be increased to get the original value ?<\/p>\n a)\u00a00 %<\/p>\n b)\u00a0100\/99 %<\/p>\n c)\u00a01%<\/p>\n d)\u00a099\/100 %<\/p>\n Question 2:\u00a0<\/b>A 20 litre mixture contains 60% of alcohol and 4 litres of alcohol is added to it then what is the water percentage in the mixture ?l<\/p>\n a)\u00a033.33%<\/p>\n b)\u00a020%<\/p>\n c)\u00a040%<\/p>\n d)\u00a025%<\/p>\n Question 3:\u00a0<\/b>A number is increased by 20% and then decreased by 30%. What is the percentage change in the value ?<\/p>\n a)\u00a016%<\/p>\n b)\u00a024%<\/p>\n c)\u00a020%<\/p>\n d)\u00a028%<\/p>\n Question 4:\u00a0<\/b>A batsman scored 168 runs which included 3 boundaries and 5 sixes. How much percentage of his total score did he make by running between the wickets?<\/p>\n a)\u00a060%<\/p>\n b)\u00a075%<\/p>\n c)\u00a080%<\/p>\n d)\u00a050%<\/p>\n Question 5:\u00a0<\/b>In a school, Class A has 30% boys, Class B has 40% girls. Then, the number of girls in Class A is what percentage of the number of boys in Class B?<\/p>\n a)\u00a02.5%<\/p>\n b)\u00a04%<\/p>\n c)\u00a015%<\/p>\n d)\u00a0Can\u2019t be determined<\/p>\n SSC MTS Previous Papers PDF<\/a><\/p>\n Take a free mock test for SSC MTS<\/a><\/p>\n Question 6:\u00a0<\/b>The price of sugar is increased by 40%. By how much percent should there be reduction in consumption so that the expenditure remains the same?<\/p>\n a)\u00a028.5%<\/p>\n b)\u00a032.5%<\/p>\n c)\u00a042%<\/p>\n d)\u00a040%<\/p>\n Question 7:\u00a0<\/b>Find the percentage change in area of a rectangle if the length of the rectangle is reduced by 20% and breadth of the rectangle is increased by 10%.<\/p>\n a)\u00a028% increase<\/p>\n b)\u00a088% decrease<\/p>\n c)\u00a012% increase<\/p>\n d)\u00a018% decrease<\/p>\n Question 8:\u00a0<\/b>If a shopkeeper gives three successive discounts of 20% each, then what is the effective discount percentage?<\/p>\n a)\u00a048.8%<\/p>\n b)\u00a062.5%<\/p>\n c)\u00a037.8%<\/p>\n d)\u00a069.8%<\/p>\n Question 9:\u00a0<\/b>The price of rice has increased by 50%. By how much percent should there be reduction in consumption so that the expenditure remains the same?<\/p>\n a)\u00a033.33%<\/p>\n b)\u00a050%<\/p>\n c)\u00a066.67%<\/p>\n d)\u00a063.33%<\/p>\n Question 10:\u00a0<\/b>The price of sugar has increased by 25%. By how much percent should there be a reduction in consumption so that the expenditure remains the same?<\/p>\n a)\u00a025%<\/p>\n b)\u00a020%<\/p>\n c)\u00a033.33%<\/p>\n d)\u00a040%<\/p>\n SSC Study Material (18000 Solved Questions)<\/a><\/p>\n General Science Notes for SSC Exams<\/a><\/p>\n Question 11:\u00a0<\/b>Amit scored 20% marks and failed by 15 marks. Rohit scored 40% marks and obtained 25 marks more than those required to pass. Then find the pass percentage.<\/p>\n a)\u00a035%<\/p>\n b)\u00a037.5%<\/p>\n c)\u00a027.5%<\/p>\n d)\u00a024.75%<\/p>\n Question 12:\u00a0<\/b>If a% of b=20 and b% of c=30 then how much percent is c greater than a ?<\/p>\n a)\u00a050%<\/p>\n b)\u00a0150%<\/p>\n c)\u00a075%<\/p>\n d)\u00a066.66%<\/p>\n Instructions<\/b><\/p>\n The given pie chart shows the marks obtained (in degrees) by a student in different subjects. The total marks obtained by the student in the examination is 432.<\/p>\n <\/p>\n Question 13:\u00a0<\/b>If the maximum marks per subject is 100, then what is the total marks (in percentage) obtained in English and Hindi together?<\/p>\n a)\u00a0168<\/p>\n b)\u00a068<\/p>\n c)\u00a076<\/p>\n d)\u00a084<\/p>\n Question 14:\u00a0<\/b>The marks obtained in science is what percentage of the total marks?<\/p>\n a)\u00a020.14<\/p>\n b)\u00a018.12<\/p>\n c)\u00a017.16<\/p>\n d)\u00a019.44<\/p>\n Instructions<\/b><\/p>\n The table give below shows the marks obtained by six students in 5 different subjects.<\/p>\n Question 15:\u00a0<\/b>What is the aggregate percentage of marks obtained by student C in all the five subjects?<\/p>\n a)\u00a071<\/p>\n b)\u00a075<\/p>\n c)\u00a076<\/p>\n d)\u00a073<\/p>\n Instructions<\/b><\/p>\n The line chart given below represents the sales (in 00) of trousers and shirts for five months.<\/p>\n Question 16:\u00a0<\/b>What is the percentage increase in the sales of the trousers from January to February?<\/p>\n a)\u00a025<\/p>\n b)\u00a020<\/p>\n c)\u00a010<\/p>\n d)\u00a028<\/p>\n Question 17:\u00a0<\/b>An article having marked price Rs 1800 is sold for Rs 1476. What is the discount percentage?<\/p>\n a)\u00a014<\/p>\n b)\u00a015<\/p>\n c)\u00a016<\/p>\n d)\u00a018<\/p>\n Instructions<\/b><\/p>\n The following pie chart shows the expenditure (in percentage) of five companies P, Q, R, S and T in the year 2016. Total Expenditure = 48 crores.<\/p>\n Question 18:\u00a0<\/b>Total amount spent by company S is what percent of total amount spent by company T and R?<\/p>\n a)\u00a042.1<\/p>\n b)\u00a043<\/p>\n c)\u00a039.68<\/p>\n d)\u00a041<\/p>\n Question 19:\u00a0<\/b>By how much percent expenditure of company Q and R together greater than that of company P?<\/p>\n a)\u00a033.33<\/p>\n b)\u00a060<\/p>\n c)\u00a066.67<\/p>\n d)\u00a075<\/p>\n Question 20:\u00a0<\/b>What was the total expenditure (in Rs crores) of the company Q, R and T together?<\/p>\n a)\u00a019.2<\/p>\n b)\u00a028.8<\/p>\n c)\u00a024.3<\/p>\n d)\u00a031.4<\/p>\n 200+ SSC Important Practice Sets<\/a><\/p>\n General Knowledge Q&A for Competitive Exams (Download PDF)<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n let the value be x 2)\u00a0Answer\u00a0(A)<\/strong><\/p>\n In a 20 litre mixture alcohol percent =60% 3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n let the number be x 4)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Score he made using boundaries and sixes = 4*3+5*6 = 12+30 = 42 runs 5)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Let the total number of students in Class A be A. Let the total number of students in Class B be B. Therefore, Required percentage = $\\dfrac{0.7A}{0.6B} \\times 100$ 6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let the initial price of sugar be Rs.100 7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Effective change in percentage $= l+b+\\dfrac{l \\times b}{100} = -20+10+\\dfrac{(-20)\\times (10)}{100} = -10-2 = -12$% 8)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let the Marked price be Rs.1000 9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the initial price be Rs.100 Initial expenditure = Final expenditure 10)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let the initial price be Rs.100 Initial expenditure = Final expenditure 11)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the maximum marks be \u2018x\u2019 Pass marks = 20% of 200+15 = 40+15 = 55 12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Given ab=2000 13)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Total marks in the examination = 432<\/p>\n Marks (in degree) obtained in English and Hindi together = $75+65=140^\\circ$<\/p>\n Marks obtained in English and Hindi together = $\\frac{140^\\circ}{360^\\circ}\\times432=168$<\/p>\n $\\therefore$ Total marks (in percentage) obtained in English and Hindi together = $\\frac{168}{200}\\times100=84\\%$<\/p>\n => Ans – (D)<\/p>\n 14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Marks (in degrees) obtained in Science = $70^\\circ$<\/p>\n Total marks (in degrees) =\u00a0$360^\\circ$<\/p>\n => Required % = $\\frac{70}{360}\\times100$<\/p>\n = $\\frac{700}{36}=19.44\\%$<\/p>\n => Ans – (D)<\/p>\n 15)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Total\u00a0marks obtained by student C<\/p>\n = 68 + 79 + 55 + 91 + 72 = 365<\/p>\n => Average marks = $\\frac{365}{5}=73$<\/p>\n => Ans – (D)<\/p>\n 16)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Sale of trousers in January (in ’00) = 40<\/p>\n Sale of trousers in February (in ’00) =\u00a050<\/p>\n => Required % increase = $\\frac{(50-40)}{40}\\times100$<\/p>\n = $\\frac{1000}{40}=25\\%$<\/p>\n => Ans – (A)<\/p>\n 17)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Marked price of article = Rs. 1800<\/p>\n Selling price = Rs. 1476<\/p>\n => Discount % = $\\frac{(1800-1476)}{1800}\\times100$<\/p>\n = $\\frac{324}{18}=18\\%$<\/p>\n => Ans – (D)<\/p>\n 18)\u00a0Answer\u00a0(A)<\/strong><\/p>\n %\u00a0amount spent by company S\u00a0= 16%<\/p>\n %\u00a0amount spent by company T and R = (20+18) = 38%<\/p>\n => Required percent spent by company S = $\\frac{16}{38}\\times100$<\/p>\n = $\\frac{800}{19}=42.1\\%$<\/p>\n => Ans – (A)<\/p>\n 19)\u00a0Answer\u00a0(C)<\/strong><\/p>\n %\u00a0amount spent by company P\u00a0= 24%<\/p>\n % amount spent by company Q and R = (22+18) = 40%<\/p>\n => Required percent = $\\frac{(40-24)}{24}\\times100$<\/p>\n = $\\frac{2}{3}\\times100=66.67\\%$<\/p>\n => Ans – (C)<\/p>\n 20)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Total expenditure (in Rs crores)\u00a0= 48<\/p>\n % expenditure\u00a0of the company Q, R and T together = (22+18+20) = 60%<\/p>\n => Total expenditure (in Rs crores) of the company Q, R and T together = $\\frac{60}{100}\\times48$<\/p>\n = $\\frac{144}{5}=28.8$<\/p>\n => Ans – (B)<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/14674.png\")
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\nIncreased by 10% it becomes 1.1x
\nDecreased by 10% it becomes 1.1x*0.9
\n=0.99x
\nPercentage to be increased to get the original value=(0.01x\/0\/0.99x)*100
\n=100\/99 %<\/p>\n
\nTherefore 20*60\/100=12 litres
\nWater =20-12=8 litres
\nTotal alcohol=12+4=16 litres
\nWater percentage=(8\/24)*100
\n=33.33%<\/p>\n
\nAs it is increased by 20% we have x*1.2=1.2x
\nAnd again decreased by 30% and so 1.2x*0.7=0.84x
\nPercentage change in the value ((x-0.84x)\/x)*100=16%<\/p>\n
\nTotal score = 168 runs
\nScore made by running between the wickets = 168-42 = 126 runs
\nTherefore, Required percentage = $\\dfrac{126}{168} \\times 100 = 75$%<\/p>\n
\nThen, Boys in Class A = 30% of A = 0.3A
\nThen, Girls in Class A = A – 0.3A = 0.7A<\/p>\n
\nThen, Girls in Class B = 40% of B = 0.4B
\nThen, Boys in Class B = B – 0.4B = 0.6B<\/p>\n
\nSince, the total number of students in Class A and Class B is unknown, the required percentage can\u2019t be determined.<\/p>\n
\nLet the initial consumption be 100 kg.
\nThen Initial expenditure $= 100\\times100$
\nNew price = 140% of Rs.100 = Rs140
\nLet the final consumption be Rs.x
\nInitial expenditure = Final expenditure
\n$100\\times100 = 140\\times x$
\n\u21d2 x = 71.42 kg
\nPercentage Reduction in consumption = $\\dfrac{100-71.42}{100}\\times 100 = 28.58$%<\/p>\n
\nNegative indicates decrease in percentage. Hence, the area decreases by 12%<\/p>\n
\nSelling price after three successive discounts = $1000 \\times \\dfrac{80}{100}\\times \\dfrac{80}{100}\\times \\dfrac{80}{100} = Rs.512$
\nEffective discount = $\\dfrac{1000-512}{1000} \\times 100 = 48.8$%<\/p>\n
\nLet the initial consumption be 100 kg
\nPrice increased by 50%
\nFinal price = 150% of Rs.100 = Rs.150
\nLet final consumption be x kg<\/p>\n
\n\u21d2 $100\\times100 = 150\\times x$
\n\u21d2 $x = \\dfrac{200}{3} = 66.67$
\nFinal consumption $= 66.67$ kg
\nPercentage Reduction in consumption $= \\dfrac{100-66.67}{100}\\times 100 = 33.33$%<\/p>\n
\nLet the initial consumption be 100 kg
\nPrice increased by 25%
\nFinal price = 125% of Rs.100 = Rs.125
\nLet final consumption be x kg<\/p>\n
\n\u21d2 $100\\times100 = 125\\times x$
\n\u21d2 $x = 80$
\nFinal consumption $= 80$ kg
\nPercentage Reduction in consumption $= \\dfrac{100-80}{100}\\times 100 = 20$%<\/p>\n
\nThen, Pass marks = 20% of x + 15 = 40% of x – 25
\n\u21d2 0.2x+15 = 0.4x-25
\n\u21d2 0.2x = 40
\n\u21d2 x = 200
\nHence, Maximum marks = 200<\/p>\n
\nPass percentage $= \\dfrac{55}{200}\\times 100 = 27.5$%<\/p>\n
\nbc=3000
\nThen $\\frac{ab}{bc}$=$\\frac{2000}{3000}$
\n$\\frac{a}{c}$=$\\frac{2}{3}$
\nc=$\\frac{3}{2}$ $\\times a$
\nRequired percentage =$\\frac{(\\frac{3}{2}) a -a}{a}$ $\\times 100$
\n=50%<\/p>\n