Dear Students,

**SSCÂ**has released the notification forÂ CGL. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is “**practice**‘. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed.**Q1. Mr Amar spends 50% of his monthly income on household items and out of the remaining he spends 25% on travelling, 30% on entertainment, 15% on shopping and remaining amount of Rs. 900 is saved. What is Mr Amarâ€™s monthly income?**

(a) Rs. 6,000

(b) Rs. 12,000

(c) Rs. 9,000

(d) Cannot be determined

S1. Ans.(a)

Sol. House hold expenditure = 50%

Remaining = 50%

On Remaining amount he spends:-

Travelling = 25%

Entertainment = 30%

Shopping = 15%

Total = 70%Â â‡’Â Remaining = (100 â€“ 70) % of 50%

Rest amountÂ â‡’Â 900 = 30% of 50%

â‡’Â 15% = 900

100% = 6,000.

**Q2. In a test consisting of 80 questions carrying one mark each, Ankita answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 80% on the entire test?**

(a) 60

(b) 80

(c) 95

(d) 40

S2. Ans.(c)

Sol. Total marks of test = 80

Ankita scored = 65% of 40 Question (1 mark)

= 26

But she needs to score = 80% of entire â€˜testâ€™

= 80% of 80

= 64 marks

So, she needs = (64 â€“ 26) marks

= 38

PercentageÂ â‡’Â x% of 40 = 38

â‡’Â x = 95

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**Q3. In a class of 60 students and 5 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 30% of the total number of students. How many sweets were there?**

(a) 845

(b) 897

(c) 810

(d) 104

S3. Ans.(c)

Sol. No. of students = 60

No. of teachers = 5

No. of sweets each students got = 20% of (60)

= 12

Total sweetsÂ distributed among students

Â = 12Â Ã— 60 =720

No. of sweets each teacher got = 30% of (60)

= 18

Total sweets = 18 Ã— 5 = 90

distributed among teachers

Total sweets = (720 + 90)

= 810

**Q4. In a college election fought between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15,200, what is the number of valid votes the other candidate got?**

(a) 7106

(b) 6840

(c) 8360

(d) 5814

S4. Ans.(d)

Sol. Let total votes = 100%

Invalid = 15%

Valid votes = 85%

1

^{st}Â candidate = 55% of 85%So, 2

^{nd}Â candidate = 45% of 85%According to the question,

100%Â â†’Â 15200

85%Â â†’Â 12920

Other candidate got = 45% of 12920

= 5814 vote

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**Q5. On a test consisting of 250 questions, John answered 40% of the first 125 questions correctly. What percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%?**

(a) 75

(b) 80

(c) 60

(d) Cannot be determined

**Q6. If the numerator of a fraction is increased by 400% and the denominator of the fraction is increased by 150%, the resultant fraction is 3/5. What is the original fraction?**

(a) 3/10

(b) 1/8

(c) 3/7

(d) 2/7

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**Q7. In a two digit positive number, the digit in the units place is equal to the square of the digit in tenâ€™s place, and the difference between the number obtained by interchanging the digits and the number is 54. What is 10% of the original number?**

(a) 15.6

(b) 3.9

(c) 37.2

(d) 24

Weâ€™ll check the difference of two numbers

42 â€“ 24 = 18Â Ã»

and

93 â€“ 39 = 54Â Ã¼

So, number = 39

10% of 39 = 3.9

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**Q8. A candidate who scores 30% fails by 10 marks, while another candidate who scores 40% marks gets 15 more than minimum pass marks. The minimum marks required to pass are:**

(a) 85

(b) 70

(c) 100

(d) 150

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**Q9. 65% of a number is more than its 25% by 120. What is 20% of that number?**

(a) 66

(b) 69

(c) 48

(d) 60

S9. Ans.(d)

Sol. According to the question,

65% â€“ 25% = 120

40% = 120

1% = 3

100% = 300

20% = 60

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**Q10. If the radius of a right circular cone is decreased by 50% and its height is increased by 50%, its volume will be decreased by:**

(a) 10%

(b) 62.5%

(c) 40%

(d) 20%

**Q12. The price of sugar is increased by 20%. As a result, a family has decreased its consumption by 30%. The expenditure of the family on sugar is decreased by:**

(a) 0%

(b) 2.5%

(c) 16%

(d) 5%

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**Q13. If the income tax is increased by 19% the net income is reduced by 1%. The rate of income tax is:**

(a) 6%

(b) 4%

(c) 5%

(d) 7.2%

**Q14. The population of a village was 9600. In a year, with the increase in the population of males by 8% and that of females by 5%, the population of the village became 10176. What was the number of males in the village before increase?**

(a) 4200

(b) 4410

(c) 3200

(d) 6400

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**Q15. If 60% of the students in a school are boys and the number of girls is 972, how many boys are there in the school?**

(a) 1258

(b) 1458

(c) 1324

(d) 1624

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