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1.

Out of two numbers,40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is150,then the greater number is1). 702). 803). 904). 60

Answer»

Let greater NUMBER be X.

$\large \therefore$ Smaller number =150-x

According to the QUESTION,

$\large\frac{40\times x}{100}=60\frac{150-x}{100}$

$\large \Rightarrow 2x=3\times 150-3x$

$\large \Rightarrow 5x=3\times 150$

$\large \Rightarrow x=90$

2.

A number is increased by x%; to get back to the original number, it is to be reduced by1). x%2). $\frac{100x}{100+x}$%3). $\frac{10x}{100+x}$%4). $\frac{x}{100+x}$%

Answer»

I have READ it SOMEWHERE $\FRAC{100X}{100+x}$% is CORRECT

3.

Two persons contested an election of Parliament. The winning candidate secured 57% of the total votes polled and won by a majority of 42.000 votes. The number of total votes polled is1). 5,00,0002). 6,00,0003). 3,00,0004). 4,00,000

Answer» OPTION option 3 is the CORRECT ANSWER
4.

The price of an article was first increased by 10% and then again by 20%. If the last increased price be Rs.33, the original price was1). Rs.302). Rs.27.503). Rs.26.504). Rs.25

Answer» RIGHT ANSWER is Rs.25
5.

If x is less than y by 25% then y exceed x by :1). $33\frac{1}{3}$%2). 25%3). 75%4). $66\frac{2}{3}$%

Answer»

Its very SIMPLE question $33\frac{1}{3}$% is the correct ANSWER.

6.

If the duty on an article is reduced by 40% of its present rate, by how much per cent must its consumption increase in order that the revenue remains unaltered 1). 60%2). $62\frac{1}{3}$%3). 72%4). $66\frac{2}{3}$%

Answer»

$66\frac{2}{3}$%

7.

What is to be added to 15% of 160 so that the sum may be equal to 25% of 240 1). 242). 843). 604). 36

Answer»

Required number$=\frac{240\times 25}{100}-\frac{160\times 15}{100}$=60-24=36

8.

In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength 1). 1:22). 1:33). 2:14). 3:1

Answer»

1:3 is the CORRECT ANSWER as PER the SSC answer KEY

9.

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders,then the percentage ofstudents,who do not get scholarship,is1). 50%2). 72%3). 75%4). 76%

Answer» 76% SEEMS CORRECT.
10.

Two numbers A and B are such that the sum of 5% of A and 4% of B is $\frac{2}{3}$ rd of the sum of 6% of A and 8% of B. The ratio A : B is1). 4:32). 3:43). 1:14). 2:3

Answer» ANSWER for this QUESTION is OPTION 1
11.

A team played 40 games in a season and won in 24 of them. What percent of games played did the team win1). 70%2). 40%3). 60%4). 35%

Answer» REQUIRED PERCENTAGE$=\frac{24}{40}\TIMES 100=60\%$
12.

If 20% of(P + Q) = 50% of(P— Q),then find P: Q1). 7:82). 7:33). 7:54). 5:7

Answer»

$\FRAC{20(P+Q)}{100}=\frac{50}{100}(P-Q)$

$\RIGHTARROW \frac{P+Q}{P-Q}=\frac{5}{2}$

$\Rightarrow \frac{2P}{2Q}=\frac{5+2}{5-2}$ (By componendo and dividendo)

$\Rightarrow \frac{P}{Q}=\frac{7}{3}$ or 7:3

13.

In a college, 40% of the students were allotted group A,75% of the remaining were given group B and the remaining 12 students were given group C.Then the number of students who applied for the group is1). 1002). 603). 804). 92

Answer»

According to question, $GROUP A= 40$%

$Group B=\frac{60\times 75}{100}=45\%$

$Group C= 15\%$

if the total number of students be X,

then $\frac{x\times 15}{100}=12$

$\Rightarrow x= \frac{12\times 100}{15}=80$

14.

If 90% of A = 30% of B and B = x% of A, then the value of x is1). 8002). 3003). 7004). 400

Answer»

According to QUESTION,$A\times \frac{90}{100}=\frac{B\times 30}{100}$$\Rightarrow A\times 3=B$$\Rightarrow A\times X\%=A\times 3$$\Rightarrow \frac{x}{100}=3 \Rightarrow x=300$

15.

If a man receives on one-fourth of his capital 3% interest, on two third 5% and on the remainder 11%,the percentage he receiveson the whole is1). 4.52). 53). 5.54). 5.2

Answer»

I have READ it SOMEWHERE 5 is CORRECT

16.

In a school 70% of the students are girls.The number of boy are 510. Then the total number of students in the school is:1). 8502). 17003). 18304). 1900

Answer» 1700 : - is CORRECT HENCE OPTION 2
17.

The difference of two numbers is 45% of their sum. The ratio of the larger number to the smaller number is1). 20:92). 9:203). 29:114). 11:29

Answer» ANSWER for this QUESTION is OPTION 3
18.

Two numbers are respectively 10% and 25% more than a third number.What percent is the first of the second 1). 88%2). 65%3). 75%4). 80%

Answer» ANSWER for this QUESTION is OPTION 1
19.

Kishan spends 30% of his salary on food and donates 3% in a Charitable Trust. He spends Rs.2,310 on these two items, then total salary for that month is1). Rs.6,0002). Rs.8,0003). Rs.9,0004). Rs.7,000

Answer»

I am not SURE, MAY be Rs.7,000 is CORRECT

20.

For an examination it is required to get 36 % of maximum marks to pass. A student got 113 marks and failed by 85 marks.The maximum marks for the examination1). 5002). 5503). 5654). 620

Answer»

is 550 is the CORRECT ANSWER am i RIGHT

21.

A reduction in the price of apples enables a person to purchase 3 apples for Rs.1 instead of Rs.1.25. What is the % of reduction in price (apprcDdmately) 1). 20%2). 25%3). 30%4). $33\frac{1}{3}$%

Answer» OPTION 1 is the RIGHT ANSWER
22.

In a factory 60% of the workers are above 30 years and of these 75% are males and the rest are females. If there are 1350 male workers above 30 years, the total number of workers in the factory is1). 30002). 20003). 18004). 1500

Answer» OPTION 1 : 3000 is CORRECT
23.

The value of a property depreciates every year by 10% of its value at the beginning of the year. The present value of the property is Rs.8100. What was its value 2 years ago1). Rs.10,0002). Rs.${(\frac{90}{100})^{2}}8100$3). Rs.${(\frac{100}{110})^{2}}8100$4). Rs.9801

Answer»

Rs.10,000 is the BEST SUITED

24.

If x earns 25% more than y.What percent less does y earn than x1). 16%2). 10%3). 20%4). 25%

Answer»

20% SEEMS CORRECT.

25.

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score, did he make by running between the wickets 1). 45%2). $45\frac{5}{11}$%3). $54\frac{6}{11}$%4). 55%

Answer»

it from PREVIOUS YEAR SSC papers, OPTION 2 is the right answer

26.

Price of milk has increased by 20%.To keep the expenditure unchanged, the present consumption is to be reduced by :1). 20%2). 18%3). 10%4). $16\frac{2}{3}$%

Answer»

This QUESTION was asked some where in PREVIOUS YEAR papers of ssc, and CORRECT answer was $16\frac{2}{3}$%

27.

The length of a rectangle is increased by 10% and breadth decreased by 10% .Then the area of the new rectangle is1). neither decreased nor increased2). Increased by 1%3). decreased by 1%4). decreased by 10%

Answer» OPTION 3 : SEEMS CORRECT
28.

Price of a commodity has increased by 60%. By what per cent must a consumer reduce the consumption of the commodity so as not to increase the expenditure1). 37%2). 37.5%3). 40.5%4). 60%

Answer»

i THINK OPTION 2 is CORRECT

29.

B got 20% marks less than A. What per cent marks did A got more than B1). 20%2). 25%3). 12%4). 80%

Answer»

Its TOUGH but OPTION 2 SEEMS CORRECT

30.

What is 20% of 25% of 3001). 1502). 603). 454). 15

Answer»

$20\%$ of 25 % of300=$\frac{20}{100}\times \frac{25}{100}\times 300$=$\frac{1}{5}\times \frac{1}{4}\times 300=15$

31.

1.14 expressed as a per cent of 1.9 is1). 6%2). 10%3). 60%4). 90%

Answer»

Requuired PERCENTAGE$=\FRAC{1.14}{1.9}\TIMES 100=60\%$

32.

When the price of cloth was reduced by 25%, the quantity of cloth sold increased by 20%. What was the effect on gross receipt of the shop1). 5% Increase2). 5% decrease3). 10% Increase4). 10% decrease

Answer» 10% DECREASE is the correct ANSWER as per the ssc answer KEY
33.

The monthly income of a person was Rs.13,500 and his monthly expenditure was Rs.9,000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was1). 7%2). 21%3). 28%4). 35%

Answer»

28%

34.

If x is 10% more than y,then by what per cent is y less than x 1). $9\frac{1}{11}$%2). $7\frac{1}{11}$%3). $8\frac{1}{11}$%4). $10\frac{1}{11}$%

Answer»

I am not SURE, MAY be $9\frac{1}{11}$% is CORRECT

35.

If 8% of x = 4% of y. then 20% of x is1). 10% of y2). 16% of y3). 40% of y4). 80% of y

Answer»

According to question$8$% of x= $4$% of y$\Rightarrow x\times \frac{8}{100}=\frac{y\times 4}{100}$$\Rightarrow x=\frac{4}{8}y=\frac{y}{2}$$\therefore 20\% of x=\frac{20}{100} of \frac{y}{2}$$=\frac{10}{100} of y$$=10$% of y

36.

Given A Is 50% larger than c and B is 25% larger than c,then A is what percent larger than B 1). 25%2). 50%3). 75%4). 20%

Answer»

According to QUESTION,Let c=100Then, A =150B=125$\THEREFORE$ REQUIRED percentage$=\FRAC{150-125}{125}\TIMES 100=20\%\times$

37.

In an examination A got 25% marks more than B, B got 10% less than C and C got 25% more than D. If D got 320 marks out of 500, the marks obtained by A were1). 4052). 4503). 3604). 400

Answer»

it from PREVIOUS year SSC papers, 450 is the RIGHT ANSWER

38.

In an examination a candidate must secure 40% marks to pass. A candidate, who gets 220 marks,fails by 20 marks. What are the maximum marks for the examination1). 12002). 8003). 6004). 450

Answer»

Its TOUGH but OPTION 3 SEEMS CORRECT

39.

Given that 10% of A’s income = 15% of B's income = 20% of C's income. If sum of their income is Rs.7800,then B’s income is:1). Rs.36002). Rs.30003). Rs.24004). Rs.1800

Answer»

Rs.2400

40.

In an examination 75% candidates passed in English and 60% passed in Mathematics. 25% failed in both and 240 passed the examination. Find the total number of candidates.1). 4922). 3003). 5004). 400

Answer»

I have READ it SOMEWHERE 400 is CORRECT

41.

A student scored 32% marks in science subjects out of 300. How much should he score in language papers out of 200 if he is to get overall 46% marks 1). 72%2). 67%3). 66%4). 60%

Answer» OPTION 2 : - 67%
42.

50% of a number when added to 50 is equal to the number. The number is1). 502). 753). 1004). 150

Answer»

Let the number be X.According to the QUESTION,$\frac{x\times 50}{100}+50=x$$\RIGHTARROW \frac{x}{2}+50=x$$\Rightarrow x-\frac{x}{2}=50$$\Rightarrow \frac{x}{2}=50$$\Rightarrow x=100$

43.

The salary of a person was reduced by 10%. By what per cent should his reduced salary be raised so as to bring it at par with his original salary 1). 9%2). $11\frac{1}{9}$%3). $9\frac{1}{11}$%4). 11%

Answer»

it from PREVIOUS YEAR SSC papers, $11\frac{1}{9}$% is the right answer

44.

In a college election a candidate secured 62% of the votes and is elected by a margin of 144 votes. The total number of votes polled is :1). 9252). 6003). 12004). 800

Answer» 600 : - is CORRECT HENCE OPTION 2
45.

The tax imposed on an article is decreased by 10% and its consumption increases by 10%. Find the percentage change in revenue from it.1). 10% increase2). 2% decrease3). 1% decrease4). 11% increase

Answer»

I have READ it SOMEWHERE 1% DECREASE is CORRECT

46.

What percent of 3.6 kg is 72 gms.1). 32%2). 22%3). 12%4). 2%

Answer» REQUIRE percentage,$=\FRAC{72}{3.6\TIMES 1000}\times 100$=2%
47.

The number of employees working in a farm is increased by 25% and the wages per head are decreased by 25%. If it results in x % decrease in total wages, then the value of X is1). 0%2). 25%3). 20%4). $\frac{25}{4}$%

Answer»

Right ANSWER for this question is $\FRAC{25}{4}$%

48.

If 120% of a is equal to 80% of b. then $\frac{b+a}{b-a}$ is equal to1). 52). 63). 74). 8

Answer»

According to QUESTION,$a\times \frac{120}{100}=B\times \frac{80}{100}$$\RIGHTARROW \frac{b}{a}=\frac{120}{80}=\frac{3}{2}$$\therefore \frac{b+a}{b-a}=\frac{3/2+1}{3/2-1}=\frac{5/2}{1/2}=5$

49.

If the price of rice be raised by 25%,the percent by which a house-holder must reduce his consumption of rice so as not to increase his expenditure on rice is1). 225%2). 25.75%3). 25%4). 20%

Answer» OPTION 4 is the ANSWER
50.

If 80% of A = 50% of B and B = x% of A,then the value of x is:1). 4002). 3003). 1604). 150

Answer»

$A\times\frac{80}{100}=B\times\frac{50}{100}$$\THEREFORE B=\frac{A\times80}{100} =1.6A$$\therefore B= 160$% of A$\therefore X= 160$