Quantitative Aptitude Quiz Based on Adda247 Book (With Video Solutions): 23rd October 2018

Dear aspirants,

With the passing months, exam preparation for govt. exams viz. SSC CGL, SSC CHSL, SSC CPO, SSC JE, SSC MTS and other prominent competitive exams is required to ace your performance in these sought after govt job. based exams. And to make you provide with an extraordinary experience of learning via the best study content of ADDA247 Publication Books, we will be providing daily quizzes of all the four mandatory subjects let it be Quantitative Aptitude, English Language, Reasoning and General Awareness right away from ADDA247 Publication Best Books For all SSC Exams to facilitate you with our Publication Books’ efficiency encompassed with comprehensive study material subsumed with holistic notes, Practice Sets and Exercises.

Starting from today, the quizzes on SSCADDA for all SSC Exams will be based on ADDA247 Publication Books to make you experience a beneficial journey which drums up your efforts, preparation strategy and time managing skills. Quantitative aptitude holds its own importance in all SSC Exams and quantitative aptitude is its one significant part, considering the same, Arithmetic Quiz is all set to catalyze your preparation.

Q1.The value of is: cos² 60°+4 sec² 30°–tan²⁡ 45°/sin² 30°+cos² 30° is
cos² 60°+4 sec² 30°–tan²⁡ 45°/sin² 30°+cos² 30° का मान कितना है?

64/√3

55/12

67/12

67/10

Solution:

Q2. The value of sin² 30° cos² 45° + 5tan² 30° +3/2 sin² 90° – 3cos² 90° is:
sin² 30° cos² 45° + 5tan² 30° +3/2 sin² 90° – 3cos² 90° का मान कितना है:

3(7/24)

3(3/24)

3(1/23)

3(5/24)

Solution:

Q3. If cos² θ – sin² θ = 1/3 , where 0 ≤ θ ≤ (π )/2, then the value of cos⁴ θ – sin⁴ θ is:
यदि cos² θ – sin² θ = 1/3 है,जहाँ 0 ≤ θ ≤ (π )/2 है,तो cos⁴ θ – sin⁴ θ का मान कितना है:

1/3

2/3

1/9

2/9

Solution:

Q4. If tan θ = 1/√11 and 0 < θ < π/2 , then the value of (cosec² θ–sec²⁡ θ)/(cosec² θ +sec² θ ) is: यदि tan θ = 1/√11 और 0 < θ < π/2 है,तो (cosec² θ–sec²⁡ θ)/(cosec² θ +sec² θ ) का मान कितना है:

3/4

4/5

5/6

6/7

Solution:

Q5. The value of 1/√2 sin π/6 cos π/4 - cot⁡π/3 sec⁡ π/6 + (5tan π/4 )/(12 sin⁡ π/2 ) is equal to:
1/√2 sin π/6 cos π/4 - cot⁡π/3 sec⁡ π/6 + (5tan π/4 )/(12 sin⁡ π/2 )का मान किसके बराबर है:

3/2

Solution:

Q6. If sin θ = (3 )/5, then the value of (tanθ+cosθ)/(cotθ+cosecθ) is equal to:
यदि sin θ = (3 )/5 है,तो (tanθ+cosθ)/(cotθ+cosecθ) का मान किसके बराबर है:

29/60

31/60

34/60

37/60

Solution:

Q7. If a cos θ + b sin θ = p and a sin θ – b cos θ = q, then the relation between a, b, p and q is:
यदि a cos θ + b sin θ = p और a sin θ – b cos θ = q है,तो a, b, p और q के बीच संबध

a2 – b2 = p2 – q2

a2 + b2 = p2 + q2

a + b = p + q

a – b = p – q

Solution:

Q8. If sin θ + cos θ =7/5, then the value of sin θ. cos θ is –
यदि sin θ + cos θ =7/5 है,तो sin θ. cos θ का मान कितना है-

4/5

7/8

13/12

12/25

Solution:

Q9. If sin 21° = x/y then sec 21° – sin 69° is equal to:
यदि sin 21° = x/y है तो sec 21° – sin 69° किसके बराबर है:

x²/(y√(y²-x² ))

y²/(x√(y²-x²))

x²/(y√(x²-y²))

y²/(x√(x²-y²))

Solution:

Q10. If sec θ + tan θ = 2, then the value of sin θ is (assume that 0 < θ < 90°)
यदि sec θ + tan θ = 2 है,तो sin θ का मान कितना है (यह मानते हुए की 0 < θ < 90°)

0.4

0.5

0.6

0.8

Solution:

Q11. If 3 sin θ + 5 cos θ = 5, then the value of 5sin θ – 3cos θ will be:
यदि 3 sin θ + 5 cos θ = 5 है,तो 5sin θ – 3cos θ का मान कितना होगा:

± 3

± 5

± 2

± 1

Solution:

Q12. If θ is an acute angle and tan θ + cot θ = 2, then the value of tan⁵ θ + cot⁵ θ is:
यदि θ एक न्यून कोण है और tan θ + cot θ = 2 है,तो tan⁵ θ + cot⁵ θ का मान कितना है:

Solution:

Q13. The simple value of tan 1°. tan3°…….tan 89° is:
tan 1°. tan3°…….tan 89° का साधारण मान कितना है:

1/2

2/3

Solution:

Q14. If x sin² 60° – 3/2 sec 60° tan² 30° + 4/5 sin² 45° tan² 60° = 0 then x is:
यदि x sin² 60° – 3/2 sec 60° tan² 30° + 4/5 sin² 45° tan² 60° = 0 है तो x कितना है:

-1/15

– 4

-4/15

– 2

Solution:

Q15. If 7 sin α = 24 cos α; 0 < α < π/2, then the value of 14 tan α – 75 cos α – 7 sec α is equal to: यदि 7 sin α = 24 cos α; 0 < α < π/2 है,तो 14 tan α – 75 cos α – 7 sec α का मान किसके बराबर है:

Solution: