Money spent on entertainment = 0.5 *(1-1/8) part of the salary. Option (3) is correct.

The percentage of saving Rs. 2400 from her total salary, i.e. Rs. 16000 is calculated by keeping the percentage of savings the same as the amount she would be able to save. Hence, she is able to save Rs. 3000. Now, the amount of money she saves more is Rs. 3000 – Rs. 2400 = Rs. 600. Thus, option (2) is correct.

Total number of apples in the first carton = 200 The number of rotten apples in the first carton = 3% × 200 = 6 apples Total number of apples in the second carton is 300 The number of rotten apples in the second carton are 8% × 300 = 24 apples Total number of rotten apples is 6 + 24 = 30 apples Total number of apples in both the cartons is 200 + 300 = 500 Hence, the total number of apples which were not found rotten is 500 – 30 = 470 apples Thus, option (3) is correct.

Let the money invested by Apurva, i.e. principal be Rs. P. Rate of interest (R) = 6% per annum Time period (T) = 2 years Interest received (I) = Rs. 150 Thus, Apurva had invested Rs. 1250 in funds. At the end of 8 years, she will get Rs. 1850 Option (1) is correct.

To find greatest which is divisible by 21, 18, 12 and 15, we shall have to find the LCM of 21-18-12-15 which is 1260. After dividing 9999 by 1260 we get 1179 remainder. So answer will be 9999-1179 = 8820

Distance between cities A and B on John’s map = 7 cm Let the actual distance between the two cities be d km The scale used in the map is 2 cm = 30 km Therefore, by setting the proportion, we obtain the actual distance between the cities AB as 105 km. The distance between cities C and D on John’s map is 13 cm. Let the actual distance between the two cities be d km. The scale used in the map is 2 cm = 30 km. Therefore, by setting the proportion, we obtain the actual distance between the cities CD as 195 km. Hence, the difference between both the cities AB and CD is 90 km. Option (4) is correct.

Monthly earning of Rahul is Rs. 15000. Money given by him to his mother = 18% of 15000 = Rs. 2700 Money left with him after giving = 15000 – 2700 = Rs. 12300 Money left with him after spending on household expenditures and other entertainment expenditures = 12300 – 7800 = Rs. 4500 So, the percentage of the total salary left is 30%. Option (3) is correct.

The total number of girls in the class is 30 – 18 = 12 Hence, the percentage of girls as compared to the number of boys in the class is 200/3 = 66.6% Option (2) is correct.

HCF of (232-132), (132-62), (232-62) = HCF of (100,70,170) = 10

Placing 1 as indicated, shifts the given digits to the left, so that 't' is now the hundreds' digit and 'u' is the tens' digit. Therefore, 100t + 10u + 1. Hence, option (2) is the correct option.

It is understood that we restrict ourselves to rational coefficients and integral powers of 'x'. With this restriction, (x² + 4) is not factorisable. Hence, option (5) is the correct answer.

Numbers proportional to 2, 4 and 6 are 2x, 4x and 6x, respectively. So, 2x + 4x + 6x = 64 Therefore, x = 16/3 = 5(1/3) Hence, the smallest part, i.e. 2x = 32/3 = 10(2/3) Hence, option (3) is correct.

Such a number can be written as follows: P * 103 + P = P (103 + 1) = P (1001) ...........where P is the block of three digits that repeat Therefore, option (4) is the correct option.

n³ - n = (n - 1) (n) (n + 1), for integral values of n, represents the product of three consecutive integers. Since in a pair of consecutive integers, there is a multiple of two and in a triplet of consecutive integers, there is a multiple of three, then n³ - n is divisible by 6. Hence, option (5) is the correct option.

It is given that the salaries of Ankit and Akriti are in the ratio of 5 : 3, i.e. Ankit’s salary is five parts, whereas Akriti’s salary is three parts. Similarly, the salaries of Akriti and Somvir are in the ratio of 6 : 4, i.e. Akriti’s salary is 6 parts, whereas Somvir’s salary is 4 parts. Therefore, we can write the ratio of Ankit’s, Akriti’s and Somvir’s salary as 5 × 2 : 3 × 2 : 4 = 10 : 6 : 4 Hence, the total sum of all parts is 10 + 6 + 4 = 20. Therefore, Ankit's salary is 250% of Somvir's salary. Option (4) is correct.