Simplification Questions

• In the following question, correct the equation by interchanging two signs. 4 x 3 – 6 ÷ 2 + 7 = 8
• If x = 6+26 , then what is the value of x-1 + 1x-1 ?
• If a + b + c = 27, then what is the value of (a – 7)3 + (b – 9)3 + (c – 11)3 – 3(a – 7)(b – 9)(c – 11) ?
• What is the smplified value of Sin2A/1+Cos2A ?
• What is the simplified value of Sec ACot A + Tan A2 ?
• The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is
• Given that tan(θ + 15°) = √3. Then the value of θ is?
• A bag contains 25 paise, 50 paise and 1 Rs coins. There are 220 coinsinall and the total amount in the bag is Rs. 160. If there arethrice as many 1 Rs. coins as there are 25 paise coins, then what is the number of 50 paise coins?
• Simplify : 69 X 69 X 69 -65 X 65 X 669 X 69 + 69 X 65 + 65 X 65
• If a+bab=21 , then the value of (a-b) is
• If x = 1 + √2 + √3, then the value of x2-2x-4=0
• If 2x-y2+(3y-2z)2=0, then the ratio of x:y:z is
• If (4a-3)2=0, then the value of 64a3+12a+13 is
• The value of cos220°+cos270° is
• If a=101 then the value of a(a2-3a+3) is
• If x=2+3, then the value of x2-x+1x2+x+1 is
• In ∆ABC, ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is
• AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is
• If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby
• If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be