Model Question Paper CET Physics - WIT Solapur

RAJASTHAN P.E.T.MATHS-19981. All letters of the word ‘CEASE’ are arranged randomly in a row then the probability that two Eare found together is :(1) 7 (2) 3 (3) 2 (4) 15 5 5 52. Three numbers are selected randomly between 1 to 20. Then the probality that they areconsecutive numbers will be :(1) 7 (2) 3 (3) 5 (4) 1190 190 190 33. If the four positive integers are selected randomly from the set of positive stegers then theprobability that the number 1, 3 , 7, 9 are in the unit place in the product of 4 digitsosetected is :(1) 7 (2) 2 (3) 5 (4) 16625 5 625 6254. If the position vectors of the vertices A, B, C are 6i, 6j, k respectively w.r.t. origin O then thevolume of the tetranedron OABC is :(1) 6 (2) 3 (3) 1 (4) 16 3∧∧∧∧∧∧∧∧∧∧∧∧5. If three vectors 2i – j - k, i + 2j – 3k, 3i + λλ λj + 5 k are coplanar then the value of λλis :(1) – 4 (2) – 2 (3) – 1 (4) 0∧∧∧∧∧∧6. The vector perpendicular to the vectors 4i, - j + 3k and – 2i + j - 2k whose magnitude is 9 :∧ ∧ ∧ ∧ ∧ ∧ ∧ ∧ ∧(1) 31 + 6j – 6k (2) 31 – 6j + 6k (3) – 3i + 6j + 6k (4) none of these7. The area of the region bounded by the curves x 2 + y 2 = 8 and y 2 = 2x is :(1) 2π + 1 (2) π + 1 (3) 2π + 4 (4) π + 43 3 3 3ππ8. The value of 0 log (1 + cos x) dx is :(1) - π log 2 (2) π log 1 (3) π log 2 (4) π log 22 2 249. The value of 3 √√(4 – x) (x – 3) dx is :(1) π (2) π (3) π (4) π16 8 4 2∧∧∧∧∧∧∧∧∧∧∧∧∧∧∧∧