Answer: A) Incorrigible Explanation: The One-word substitute for That which cannot be corrected is Incorrigible.

Chilling is most commonly practiced by Food Handlers like restaurents, hotels,...   Chilling or Cooling is nothing but preserving the food in a cool storage like refrigerators.

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

Answer: B) 41325 Explanation: The given series follows a pattern of +19, x19, +17, x17, +15, x15,... Here the number which is to be replaced in ? is 41310+15=41325.

Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1.  For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5   Therefore, last two digits of 2151415 is 51.

Answer: C) O Explanation: Given series is A F Z U G L T _ Starts with A A + 5 letters = F go to end of alphabet= Z Z - 5 letters = U from F go one more to G + 5 letters = L from U go one back to U, T - 5 letters = O   Second Method :: Change the letters to their corresponding number. A=1 B=2 C=3 ... Z=26 A F Z U G L T _ 1 6 26 21 7 12 20 ? Look at the pattern: the 1st and 3rd numbers = 27, 1+26 the 2nd and 4th numbers = 27, 6+21 the 5th and 7th numbers = 27, so the 6 and 8th would also equal 27. 27 - 12 = 15, so the letter is O.

Answer: A) 12 days Explanation: It is given that efficiency ratio =3:1 so time ratio will be 1:3 (since work is same)   Also given that time diff = 32 days. ratio difference = 3-1 =2  2 ratio = 32 days 1 ratio = 16 days. So A will alone finish it in 16 days and B will finish it in 16*3 = 48 days.   Total work = LCM of 16 and 48 = 48. Total time = Total work/Total efficiency  ie; 48/4= 12 days.

Answer: A) Cotton Explanation: Black soil coupled with favorable climatic conditions (Temperature of 21-320C and 30 -100 cm of rainfall) are responsible for cotton cultivation in Gujarat.