We are providing you the set of 10 questions, which are most repetitive questions of the quantitative aptitude came in last five years. All are provided with complete explanation through which you can easily see analyse the complete solution. An important thing is that SSC repeats its questions, so it is very helpful to you as you may get the same question in exam.

**Q1. If 7sinα = 24cosα; o < α < π/2, then the value of 14tanα – 75secα is equal to**

a) 3

b) 4

c) 1

d) 2

**Answer: d**

** Solution:**

**Q2. The value of x which satisfies the equation 2cosec ^{2}30° + xsin^{2}60° - (3/4)tan^{2}30° = 10 is**

a) 2

b) 3

c) 0

d) 1

**Answer: b**

** **

**Solution:**

2cosec^{2}30° + xsin^{2}60° - (3/4)tan^{2}30° = 10

**Q3. If 2sinq + cosq = 7/3 then the value of (tan ^{2}q - sec^{2}q) is**

a) 0

b) -1

c) 3/4

d) 7/3

**Answer: b**

** **

**Solution:**

tan^{2}q - sec^{2}q = - (sec^{2}q - tan^{2}q) = - 1

**Q4. If 29tanq = 31 then the value of**

**is equal to**

a) 810

b) 900

c) 540

d) 490

**Answer: b**

** Solution:**

**Q5. If 7sin ^{2}θ + 3 cos^{2}θ = 4, (0° < θ < 90°), then the value of tan θ is**

a) 1/√3

b) 1/2

c) 1

d) √3

**Answer: a**

** **

**Solution:**

7sin^{2}θ + 3 cos^{2}θ = 4,

**Q6. If θ = 60° then,**

**is equal to**

a) cot θ/2

b) sec θ/2

c) sin θ/2

d) cos θ/2

**Answer: d**

** Solution:**

**Q7. If xsin60°.tan 30° = sec 60°.cot 45°, then the value of x is**

a) 2

b) 2√3

c) 4

d) 4√3

**Answer: c**

** **

**Solution:**

xsin60°.tan 30° = sec 60°.cot 45°

**Directions (8-10) : The sub divided bar diagram given below depicts the result of Class XII students of a school for three years. Study the diagram and answer the questions given below:**

**Q8. The percentage of students passed with First class in the year 2001 is**

a) 50 %

b) 45 %

c) 60 %

d) 65 %

**Answer: a**

** **

**Solution:**

Required percentage = (60/120) x 100 = 50 %

**Q9. The number of students passed with Third class in the year 2002 is**

a) 130

b) 10

c) 140

d) 20

**Answer: b**

** **

**Solution:**

Number of students who passed with third class in 2002 = 10

**Q10. The number of students passed with Second class in the year 2002 is**

a) 80

b) 130

c) 50

d) 100

**Answer: c**

** **

**Solution:**

Number of students who passed with third class in 2002 = 130 – 80 = 50

*Prepare these questions very well. You can also post a comment if you find any doubt in the above questions. *

*Best of luck for your preparation! *

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