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Solution ∵ Thickness of one book = 20 mm∴ Thickness of 5 books = 5 × 20 mm = 100 mm Again,Thickness of 1 paper sheet = 0.016 mm∴ Thickness of 5 paper sheets = 5 × 0.016 mm= 0.080m∴ Total thickness = 100 mm + 0.080 mm= 100.08 mm = 1.0008 × 10² mm

Solution: 9√x = √12+√147 ⇒9√x = 2√3+7√3 =√3 (2+7) ⇒9√x = 9√3 ⇒x=3 Then the answer is 3.

Solution The AP can be expressed as a, (a + d),-, (a + 9d). The sum of the first 3 terms is (3a + 3d) = -36 and the sum of the last 3 terms is (3a + 24d) = 27. Solving these two equations, we get a = -15 and d = 3.

(1) 6.5 km. (2) 5.5 km. (3) 6 km. (4)5 km. Solution: Let time taken to reach school at 4 kmph be x hrs.Then time taken to reach school at 5 kmph = (x+15/60)hrs Since, distance is equal. ,’. 4x=5(x+15/60) x= 5/4 hrs. Hence, distance between school & house = 4*5/4km= 5km Then the answer

Solution Here,dividend = p(x)Divisor, g(x) = (x – 1 – x2)Quotient, q(x) = (x – 2)Remainder, r(x) = 3∵ Dividend = [Divisor × Quotient] + Remainder∴ P(x) = [g(x) × q(x)] + r(x)= [(x – 1 – x²) (x – 2)] + 3= [x² – x – x³ – 2x + 2 + 2x²] +

(1) 63 (2) 61 (3) 65 (4) 64 Solution: √1+x/961= 32/31 Squaring  both sides, 1+ x/961= (32/31)2= 1024/961 ⇒ x/961= 1024/961-1=1024-961/961= 63/961 ⇒ x= 63 Then the option is (1) 63

Solution To find the mean score, add up all the scores and divide by the number of matches.Total sum of scores = 38 + 45 + 50 + 60 + 65 + 70 + 75 + 80 + 85 + 90 = 658.Number of matches = 10.Mean score = Total sum of scores / Number

(1) 0 (2) 1 (3) 2 (4) 3 Solution: x2-3x+1=0 ⇒ x2+1= 3x ⇒ x2+1/x= 3x/x ⇒ x+1/x = 3 Then the answer is 3.

(1) 640 (2) 1280 (3) 256 (4) 160 Solution: According to question, nth term of a GP = arn-1 :. 8th term = 5*(2)8-1 5*(2)7 = 5*128 = 640 Then the option is (1) 640

Area of a rectangle = length x breadth, hence breadth = area / length.breadth = x² + 12xy + 27y²( x + 9y )= x² + 9xy + 3xy + 27y²( x + 9y )= x ( x + 9y ) + 3y (x + 9y)( x + 9y )breadth = x + 3y