TISSNET 2014

Let a = students who attended only MA

b= students who attended only MSW

c= students who attended both

a+c= 35

b+c = 47

c= 12

=> a=23 and b= 35

Total = a+b+c = 23 + 35 + 12 = 70

Let a= only Carnatic music, b= only hindustani, c= both

a+b+c = 60

a+c = 46

b+c = 38

=> b=14

=> a=22

=> c= 24

Let a = Apartments where only Hindu was distributed

b = Apartments where the only DC was distributed

c= both

a+c = 20

b+c = 25

a+b+c = 40

=> b= 20,a=15 and c= 5

Only hindu =15

Children who like only chocolate ice cream = 6

Children who like only butter scotch ice cream = 5

Children who like both chocolate and butter scotch = 5

The given data can be represented in the Venn diagram as shown below

$$\therefore\ $$Total number of ice creams to be ordered = 6 + 5 + 5 = 16

Hence, the correct answer is Option C

It is given that there are a total of 850 students, 550 did well in mathematics and logical reasoning paper and 600 did well in English language proficiency paper and 350 did well in both.

Number of students who did not do well in mathematics and logical reasoning paper would simply be

Total students - Number of students who did well in Mathematics and logical reasoning paper i.e. 850 - 550 = 300.

24 = $$2^3\times3^1$$ $$\Rightarrow$$ Number of factors = 4 x 2 = 8

42 = $$2^1\times3^1\times7^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 x 2 = 8

54 = $$2^1\times3^3$$ $$\Rightarrow$$ Number of factors = 2 x 4 = 8

62 = $$2^1\times31^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 = 4

78 = $$2^1\times3^1\times13^1$$ $$\Rightarrow$$ Number of factors = 2 x 2 x 2 = 8

Number of factors of all numbers except 62 is 8.

$$\therefore\ $$62 is the odd one among the given numbers.

Hence, the correct answer is Option C

In the series,

7 - 5 = 2

10 - 7 = 3

14 - 10 = 4

19 - 14 = 5

The difference between the consecutive numbers in the series is increasing by 1. The next difference between the numbers should be 6.

Let the next number in the series = a

$$\Rightarrow$$ a - 19 = 6

$$\Rightarrow$$ a = 25

$$\therefore\ $$Next number in the series = 25

Hence, the correct answer is Option A

The logic here is

$$6=2\times3$$

$$12=3\times4$$

$$20=4\times5$$

$$30=5\times6$$

All numbers except 26 are product of consecutive numbers.

$$\therefore\ $$26 is the odd one among the given numbers.

In the series,

$$3=1+2=1^3+2$$

$$10=8+2=2^3+2$$

$$29=27+2=3^3+2$$

$$66=64+2=4^3+2$$

The numbers of the series are in the form of $$n^3+2$$

$$\therefore\ $$Next number in the series $$=5^3+2=125+2=127$$

Hence, the correct answer is Option B

Sum of digits of 204 = 2 + 0 + 4 = 6

Sum of digits of 315 = 3 + 1 + 5 = 9

Sum of digits of 425 = 4 + 2 + 5 = 11

Sum of digits of 531 = 5 + 3 + 1 = 9

Sum of digits of 624 = 6 + 2 + 4 = 12

Sum of digits of 204, 315, 531, 624 is divisible by 3 so 204, 315, 531, 624 are divisible by 3.

Sum of digits of 425 is not divisible by 3 so 425 is not divisible by 3.

$$\therefore\ $$425 is the odd one among the given numbers.

Hence, the correct answer is Option C