# SSC Quantitative Aptitude Questions (Day-82)

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1) What is the value of sin (30 + x) â€“ cos (60 â€“ x)?

(a) 1

(b) 2

(c) 0

(d) 1/2

2) What is the least value of 15 cos2 Î¸ + 17 sin2 Î¸?

(a) 14

(b) 15

(c) 2

(d) 18

3)Â

(a)

(b)

(c)

(d)

4)Â

(a) 17/12

(b) â€“ 53/28

(c) â€“ 27/25

(d) 31/23

5)Â

(a) 1

(b) 1/âˆš3

(c) 1/2

(d) 2

Direction (6-10): The given pie chart shows the monthly expenditure on various items and monthly saving of a household. The same distribution is followed for all the months of the year.

6) If monthly income is Rs 50000, then how much is spent (in Rs) on Fuel?

(a) 12000

(b) 10000

(c) 13500

(d) 15000

7) If monthly income is Rs 65000, then what is the difference (in Rs) between expenditure on Household items and Clothing?

(a) 5200

(b) 6500

(c) 7200

(d) 4500

8) If Rs 2400 are saved per month, then what is the monthly salary (in Rs) of the household?

(a) 24000

(b) 20000

(c) 30000

(d) 18000

9) If the difference in monthly expenditure on Fuel and Bills is Rs4800, then what is the annual income of household?

(a) 660000

(b) 600000

(c) 540000

(d) 480000

10) If the difference in monthly expenditure on clothing and education is Rs 9000, then what is the difference (in Rs) in yearly saving and yearly expenditure on Bills?

(a) 64000

(b) 76000

(c) 36000

(d) 48000

= sin (30 + x) â€“ cos (60 â€“ x)

Put x = 0

= sin 30Â° â€“ cos 60Â°

= 1/2Â  â€“ 1/2

= 0

Least value of 15 cosÂ² Î¸ + 17 sinÂ² Î¸

a cosÂ² Î¸ + b sinÂ² Î¸Â  (a < b)

= 15

sin y + cos y = 3 sin y â€“ 3 cos y

4 cos y = 2 sin y

tan y = 2

Fuel expenditure = 20/100 Ã— 50000

= 10000

Difference between expenditure household & clothing = 8%

= 8/100 Ã— 65000

= 5200

Savings = 10%

2400 = 10/100 x

24000 = x

Difference between fuel & Bills = 12%

4800 = 12/100 x

40000 = x

Annual income=40000 X 12 =480000

Difference in the expenditure of clothing & education

= 20 â€“ 14

= 6%

Difference in the monthly saving & monthly expenditure on bills = (10 â€“ 8)%

If 6% â†’ 9000

2% â†’ 3000

Difference in the yearly saving &yearly expenditure on bills = 3000 X 12 = 36000

 Check Here to View SSC CGL / CHSL 2021 QuantitativeÂ Aptitude Questions Day – 81 Day – 80 Day – 79