Question Paper JEE Mains
1. The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is
(a) less than 4
(b) 5
(b) 5
(c) 6
(d) atleast 7
(d) atleast 7
Ans. d
2. A line AB in three-dimensional space makes angles 45° and 120° with the positive X-axis and the positive Y-axis, respectively. If AB makes an acute angle q with the positive Z-axis, then q equals
(a) 30°
(b) 45°
(b) 45°
(c) 60°
(d) 75°
(d) 75°
Ans. c
3. A person is to count 4500 currency notes. Let an denotes the number of notes he counts in the nth minute. If a1 = a2 = a10 = 150 and a10, a11,...are in AP with common difference –2, then the time taken by him to count all notes, is
3. A person is to count 4500 currency notes. Let an denotes the number of notes he counts in the nth minute. If a1 = a2 = a10 = 150 and a10, a11,...are in AP with common difference –2, then the time taken by him to count all notes, is
(a) 24 min
(b) 34 min
(b) 34 min
(c) 125 min
(d) 135 min
(d) 135 min
Ans. b
4. There are two ums. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn, two balls are taken out at random and then transferred to the other. The number of ways in which this can be done, is
4. There are two ums. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn, two balls are taken out at random and then transferred to the other. The number of ways in which this can be done, is
(a) 3
(b) 36
(b) 36
(c) 66
(d) 108
(d) 108
Ans. d
5. The polymer containing strong intermolecular forces e.g., hydrogen bonding, is
5. The polymer containing strong intermolecular forces e.g., hydrogen bonding, is
(a) teflon
(b) nylon-66
(c) polystyrene
(d) natural rubber
Ans. b
6. Out of the following, the alkene that exhibits optical isomerism is
6. Out of the following, the alkene that exhibits optical isomerism is
(a) 3-methyl-2-pentene
(b) 4-methyl-1-pentene
(c) 3-methyl-1-pentene
(d) 2-methyl-2-pentene
Ans. c
7. Biuret test is not given by
(a) carbohydrates
(b) polypeptides
(c) urea
(d) proteins
Ans. a
8. The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
8. The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
(a) 288 pm
(b) 398 pm
(b) 398 pm
(c) 618 pm
(d) 144 pm
Ans. d
9. One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of 44 u. The alkene is
(d) 144 pm
Ans. d
9. One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of 44 u. The alkene is
(a) propene
(b) 1-butene
(b) 1-butene
(c) 2-butene
(d) ethene
(d) ethene
Ans. c
10. The speed of light in the medium is
10. The speed of light in the medium is
(a) minimum on the axis of the beam
(b) the same everywhere in the beam
(c) directly proportional to the intensity l
(d) maximum on the axis of the beam