M4maths Previous Puzzles

22 Jul 2011 find the percentage

The percentage of a number X with respect to number Y is 40 then percentage of Y with respect to X will be?

OPtion

1) 40
2) 80
3) 150
4) 200
5) 250
6) 375
7) 400
8) insufficient data
9) 500
10) none of these

Solution

X/Y = 40/100
so Y/X = 100/40 = 2.5

so Y = 2.5 X

Correct Option: 5 Best Solution (6)

21 Jul 2011 possible combination?

The sum of four positive integer is 15. If the sum of two greater integers is 4 times the sum of two smaller integers, then what will be the sum of two smaller integers.

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 7
7) 6
8) 9
9) 12
10) none of these

Solution

x = 4y and x+y = 15
on solving we get y = 3

Correct Option: 3 Best Solution (0)

20 Jul 2011 river

The velocity of a river is 2 km/hour. How much time is required to travel a boat in that river for 10 km. downstream then 10 km. upstream. Velocity of boat is 3km./hour in still water.

OPtion

1) 3 hrs
2) 4 hrs
3) 5 hrs
4) 6 hrs
5) 8 hrs
6) 12 hrs
7) 14 hrs
8) 15 hrs
9) 16 hrs
10) none of these

Solution

net velocity downstream = 3+2 = 5 km./hrs.
net velocity upstream = 3-2 = 1 km./hrs.
so total time required = (10/5) + (10/1)
= 2 + 10 = 12 hrs.

Correct Option: 6 Best Solution (0)

19 Jul 2011 triangle

Two sides of a triangle are 2 and 1. How many integral possibilities are there for the third side

OPtion

1) 9
2) 8
3) 7
4) 6
5) 5
6) 4
7) 3
8) 2
9) 1
10) none of these

Solution

since sum of two sides should be greater than the third side so third side will be Only 2
so one possibility is there

Correct Option: 9 Best Solution (3)

18 Jul 2011 next number

next number of the sequence 5, 20, 60, 120,...... will be

OPtion

1) 60
2) 120
3) 240
4) 480
5) 360
6) 600
7) 1200
8) 2400
9) sequence is wrong
10) none of these

Solution

5 * 4 = 20
20 * 3 = 60
60 * 2 = 120
120 * 1 = 120

Correct Option: 2 Best Solution (17)

15 Jul 2011 find the dictionary position

the difference between rank of REACT and TRACE in the dictionary formed by the letters of the same word will be

OPtion

1) 1
2) 31
3) 5
4) 23
5) 12
6) 6
7) 26
8) 16
9) 18
10) none of these

Solution

dd

Correct Option: 10 Best Solution (5)

14 Jul 2011 work with best effort

A,B,C,D,E can do a piece of work in 5,6,7,8,9 days respectively. how many days are requierd to do 3 times more work if all are doing work with their best effort? (approx)

OPtion

1) 1
2) 3
3) 2
4) 5
5) 4
6) 7
7) 6
8) 9
9) 8
10) none of these

Solution

1 day work of all the five together are = 1/5 + 1/6 + 1/7 + 1/8 + 1/9
= 1879/2520
So days required to do 3 times more work = (2520/1879)*3

= 4.02 days
approx 4 days

Correct Option: 5 Best Solution (5)

13 Jul 2011 Find the probability

In a pack of 52 cards, 3 cards are drawn at random. What will be the probability to get an ace & two kings

OPtion

1) 6/(13*17*25)
2) 7/(13*16*25)
3) 4/(12*13*23)
4) 6/(12*17*25)
5) 5/(3*7*25)
6) 6/(13*25*25)
7) 6/(3*17*25)
8) 3/(6*23*25)
9) 3/(6*5*7)
10) none of these

Solution

Required Probability = [{(4*3)/(2*1)}*{(4/1)}*{(3*2*1)/(2*1)}]/[{(52*51*50)/(3*2*1)}]

OR

(4C2*4C1*3!/2!)/(52C3)

By solving

6/13*17*25

Correct Option: 1 Best Solution (7)

12 Jul 2011 Find the next number

1, 10, 35, 84, ?

OPtion

1) 155
2) 132
3) 169
4) 160
5) 89
6) 156
7) 198
8) 145
9) 175
10) None of these

Solution

1^2+ 3^2 + 5^2 + 7^2 + 9^2 = 165

Correct Option: 10 Best Solution (19)

11 Jul 2011 Find the difference

Difference between 90% of 49 and 40% of 99 is

OPtion

1) 3
2) 4.3
3) 4.5
4) 5.4
5) 2.5
6) 9
7) 12
8) 10
9) 6.5
10) 7

Solution

49*90/100 - 99*40/100 = 45/100 = 4.5

Correct Option: 3 Best Solution (6)