Q. What is the value of sin15° sin75°?
1) 1/4
2) 1/8
3) 1/16
4) 1
Q. If y = sec2 θ + cos2 θ, where 0 < θ < π/2, then which one of the following is correct?
1) y = 0
2) 0≤ y ≤ 2
3) y ≥ 2
4) None of the above
Q. If α and β are positive angles such α + β = π/4, then what is (1 + tan α) (1 + tan β) equal to?
1) 0
2) 1
3) 2
4) 3
Q. Two poles are 10m and 20m high. The line joining their tops makes an angle of 15° with the horizontal. What is the approximate distance between the poles?
1) 35.3 m
2) 37.3 m
3) 41 m
4) 44 m
Q. What is the derivative of sin2,x with respect to cos2x?
1) tan2x
2) cot2x
3) -1
4) 1
Q. What is the interval over which the function f(x) = 6x - x2, x > 0 is increasing?
1) (0, 3)
2) (3, 6)
3) (6, 9)
4) None of above
Q. What least number of 5 digits is divisible by 41?
1) 10045
2) 10004
3) 10041
4) 41000
Q. If the product of four consecutive natural numbers increased by a natural number P, is a perfect square; then the value of P is -
1) 8
2) 4
3) 2
4) 1
Q. The sixth term of the sequence 11, 13, 17, 19, 23, __, 29 is -
1) 24
2) 19
3) 25
4) 22
Q. The wrong term in the sequence 7, 28, 63, 124, 215, 342, 511 is -
1) 7
2) 28
3) 124
4) 215
Interior design is a fun and creative field. It mixes art and practicality to make spaces look good and work well. With more people wanting great places to live and work, the need for skilled interior designers is rising. Let’s look at what it takes to have a career in interior design, including nee →
Foundation Date: December 8, 1991 Headquarters: The Republic of Belarus Executive Secretaries: Sergei Lebedev Member Countries: 12 Commonwealth of Independent States (CIS) was established on December 8, 1991, and the leaders of the Republic of Belarus, the Russian Federation, and Ukraine signed an a →
In 2009, an unknown programmer by the name of Satoshi Nakamoto put forward a whitepaper that proposed a creation of new form of digital currency - cryptocurrency. Cryptocurrency functions the same way as regular currencies do in that its used as a means of exchange, unit of account and a store of va →
Headquarter: New Delhi Function and Objective of the Organization: The Food Safety and Standards Authority of India (FSSAI)has been established under Food Safety and Standards Act, 2006 which consolidates various acts & orders that have hitherto handled food-related issues in various Ministries →
If you contribute your content to our site. Please mail us your content to editor@onlinegk.net