JEE Mains

The number of ways in which all the letters of the word "coconut" can be arranged such that atleast one C comes at odd place is

• 360

• 920

• 1080

• 1260

Consider 5 balls and 3 boxes. In how many ways balls can be distributed in the boxes if balls distinct and boxes identical and box can be empty?

• 51

• 41

• 61

• 71

The no of ways of selecting two 1*1 squares on chess board such that they have one common corner is

• 112

• 98

• 56

• 49

It takes 10 min for an electronic kettle to heat a certain quantity of water from 0*c to 100*c. It takes 54 min to covert this water at 100*c into steam. Then latent heat of steam is

• 80 cal/gm

• 540cal/kg

• 540cal/gm

• 80cal/kg

Let A={0,1,2,3 ..... 9} be a set consisting of different digits. The number of ways in which a 9 digit number can be made in which, 1 & 2 are present and 1 is always ahead of 2 and repetition of digits not allowed

The reserve of 12 railway station masters is to be divided in two groups of 6, each one for day duty and the other for night duty. The number of ways in which this can be done if 2 specified persons A, B should not be included in the same group is

• 500

• 512

• 508

• 504

A copper wire and a steal wire of the same diameter and length are connected end to end. A force is applied which stretches their combined length by 1 cm. Then the two wires have

• The same stress and strain

• The same stress but different strains

• The same strain but different stresses

• Different stresses and strains

A solid spear hung at the lower end of a wire is suspended from a fixed point, so as to give an elongation of 0.4mm. When first solid spear is replaced by another one made of same material but twice the radius, the new elongation is

• 0.8mm

• 1.6mm

• 3.22m

• 1.2mm

Which reaction does not represent Auto redox or disproportionation ?