Answer: A) 541 times Explanation: There are 60 minutes in an hour. In ¾ of an hour there are (60 × ¾) minutes = 45 minutes. In ¾ of an hour there are (60 × 45) seconds = 2700 seconds. Siren sounds for every 5 seconds. In 2700 seconds = 2700/5 = 540 times. The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

Answer: C) 3 Explanation: When 16nis divided by 9, we have  1619, remainder = 7   1629, remainder = 4  1639, remainder = 1  1649, remainder = 7  1659, remainder = 4  1669, remainder = 1  So, we have cyclicity of 3 factors i.e 7,4,1.  Hence only 3 remainders are possible.

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

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

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: A) it needed protection from Germany Explanation: France joined the Triple Entente because it needed protection from Germany.   France felt very heavily the aggression from Germany (a country which it shared a border with), especially over the tension Alsace and Lorraine and the constant switching over of these two counties. It was also worried about the rapid military advancement in Germany and France wanted to ally itself with Russia and Great Britain.

Answer: D) haemoglobin Explanation: Oxygen in our blood is transported by a protein named Haemoglobin.

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,  SkSp = 800t+20600t = 23since given ratio   t = 20 s   Speed of Piyush = Sp = 600/20 = 30 m/s   and    Speed of Kaushik = 800/40 = 20 m/s