Solved ? - Not yet

Topic - Quant Mixed Bag

Source - Genius Tutorial Preparation Forum ]]>

Solved ? - Not yet

Topic - Quant Mixed Bag

Source - Genius Tutorial Preparation Forum ]]>

[OA : 70]

]]>[OA : 576]

]]>So total 2800 x 21 + 1400= 60200km

A will travel 5/7 x 60200= 43000 km

For 42000 km he needs 30 rounds

In the last round he will cover 1000km from P

So he is at 1400-1000= 400km from Q ]]>

(a) 1/54

(b) 5/54

(c) 5/108

(d) 13/108 ]]>

(a) 10 litres

(b) 12 litres

(c) 32 litres

(d) 48 litres ]]>

(a) form an obtuse angled triangle.

(b) form an acute angled triangle.

(c) form a right angled triangle.

(d) lie on a straight line. ]]>

So striaght line ]]>

● 99995 : No. of arrangements = 5

● 99986 : No. of arrangements = 20

● 99977 : No. of arrangements = 10

● 99887 : No. of arrangements = 30

● 98888 : No. of arrangements = 5

Total = 70

Now, for a number (abcde) to be divisible by 11, we should have (a + c + e) – (b + d) = 11

and (a + c + e) + (b + d) = 41

So, a + c + e = 26, b + d = 15

Thus (a, c, e) = (9, 9, 8 ) and (b, d) = (7, 8 ) or (6, 9)

Hence total 12 cases

Probability = 12/70 = 6/35

k = 6

Answer : 28

Method 2 :

1 step in 1 way

2 steps in 1 way

3 steps in 2 ways

4 steps in 3 ways

5 steps in 4 ways

6 steps in 6 ways

7 steps in 9 ways

8 steps in 13 ways

9 steps in 19 ways

10 steps in 28 ways

So 28 should be the answer

Method 3 :

x + 3y = 10

(1 , 3 ) -> 4

(4 , 2 ) -> 6!/4!2! = 15

(7 , 1) -> 8!/7! = 8

(10 , 0) -> 1

TOTAL = 15 + 4 + 8 + 1 = 28

[OA : 5/8]

]]>a) 11

b) 21

c) 55

d) 66 ]]>

a. 90

b.200

c. 210

d. 126 ]]>

Factors of 2N = ( a + 2) ( b + 1)=28

Factors of 3N = ( a + 1 )( b + 2 )=30

So a = 5 and b = 3

So N = 2^5 × 3^3

Now Factors of 6N ( 2^6 × 3^4 )

will be 7 × 5 = 35 ]]>

a) Number lies between 40 and 50

b) Number lies between 50 and 60

c) Number lies between 60 and 80

d) More than one such number exists ]]>