URVASHI GARG

Solution: Two angles of triangle= 4x and 5x (let)According to the question.2(4x+ 5x) = 180∘⇒ 18x= 180∘⇒ x = 180∘/18 = 10∘:. The smallest angle= 4x = 4*10 = 40∘Then the answer is 40∘.

Solution: First number * second number  = LCM * HCF Let the second number be x. :. lOx = 30 * 5 ⇒x= 30*5/10 = 15 Then the option is (3) 15

Solution: According to the question, Total marks = 71* 14= 994 Correct total marks = 994+(56-42) + (32-74) = 994+14-42 = 966 Required average = 966/14 = 69 Then the option is (3) 69

Solution: Distance = Speed * Time = (40*6 1/4) km = (40*25/4) km = 250km New speed= 50 kmph :. Required time = Distance/Speed = 250/50 = 5 hours Then the answer is 5 hours.

(1) yz (2) xz/y (3) xy/z (4) xyz Solution: Product of two numbers= HCF * LCM⇒ Number = zx and zy:. zx*zy = z*LCM⇒ LCM =xyz Then the option is (4) xyz

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.

(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

(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

(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