M4maths Previous Puzzles

11 Oct 2012 speed

speed of a car is 54 km/hour. Total distance covered by the car in 16 min will be

OPtion

1) 12400 meter
2) 14400 meter
3) 14.4 meter
4) 864 meter
5) 9600 meter
6) 12000 meter
7) 2400 meter
8) 5400 meter
9) cant be calculated
10) none of these

Solution

54 km/hrs = 54*5/18 meter/sec = 15 meter/sec = 900 meter/min
so distance travelled in 16 min = 900*16 meter = 14400 meter

Correct Option: 2 Best Solution (7)

10 Oct 2012 rank

Rank of the word STARPLUS in the dictionary of words formed by letters of the word STARPLUS taken all at a time?

OPtion

1) 12453
2) 12978
3) 12999
4) 13298
5) 13458
6) 13736
7) 14231
8) 14389
9) 14976
10) none of these

Solution

On arranging the letters of the word STARPLUS in order we will get
A,L,P,R,S,S,T,U
total no. of words = 8*7*6*5*4*3*2*1/2*1 = 20160
denominator 2*1 is present for the repetition of S in the word.
Rank = [20160/8]*4+[2520*2/7]*5+[720/6]*0+[120/5]*2+[24/4]*1+[6/3]*0+[2/2]*1+1 = 13736

Correct Option: 6 Best Solution (7)

09 Oct 2012 investment

Ram got a profit of 30% in his investment of 5 lacs and loss of 10% in his investment of 10 lacs rupee. Overall profit percentage in overall investment will be

OPtion

1) 2.75
2) 2.33
3) 3.33
4) 4.5
5) 4.67
6) 5.33
7) 10
8) 10.33
9) 1.33
10) none of these

Solution

total investment = 5 + 10 = 15 lacs
profit in first investment = 30*5/100 = 1.5 lacs
loss in second investment = 10*10/100 = 1 lacs
so overall profit = 0.5 lacs
so profit percentage overall = 0.5*100/15 = 50/15 = 3.33

Correct Option: 3 Best Solution (0)

08 Oct 2012 sequence

next number of the sequence
4, 12, 60, 420, 3780...........will be

OPtion

1) 41580
2) 39540
3) 40320
4) 42680
5) 42440
6) 40210
7) 39850
8) 43960
9) 43210
10) none of these

Solution

4, 12, 60, 420, 3780
12/4 = 3
60/12 = 5
420/60 = 7
3780/420 = 9
next number = 3780*11 = 41580

Correct Option: 1 Best Solution (21)

05 Oct 2012 cost

The cost of 1 dozen egg is 50 rupee. If a plate of 30 egg costs 95 rupee to shopkeeper, then profit of shopkeeper on selling a plate of egg will be

OPtion

1) 10
2) 15
3) 20
4) 25
5) 30
6) 35
7) 40
8) 45
9) 50
10) none of these

Solution

The cost of 1 dozen egg is 50 rupee.
so selling cost of 30 eggs = 50*30/12 = 125 rupee
and a plate of 30 egg costs 95 rupee to shopkeeper
so profit = 125-95 = 30 rupee.

Correct Option: 5 Best Solution (0)

04 Oct 2012 unknown integer

[6?5 * 234]/ 2? = 5850
Both the question marks are the same integer
what integer is ?

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) 0

Solution

[6?5 * 234]/ 2? = 5850
so 6?5/2? = 5850/234 = 25
now only for 7 this is true means 675/27 = 25

Correct Option: 7 Best Solution (0)

03 Oct 2012 solve

if x+y = 8 and x^2+y^2 = 34 then x*y will be

OPtion

1) 28
2) 27
3) 24
4) 22
5) 21
6) 18
7) 16
8) 15
9) 12
10) none of these

Solution

(x+y)^2 = x^2+y^2+2*x*y
so x*y = {(x+y)^2 - [x^2+y^2]}/2 = [8^2-34]/2 = 15

Correct Option: 8 Best Solution (29)

02 Oct 2012 Gandhi Jayanti

Match the most apropriate word

OPtion

1) BCEEOORTTW
2) BCEOORRTTW
3) BEEOORRRTW
4) BCEOOORTTW
5) BCCEOORTTW
6) BCEEOORRTW
7) BBCCEORRTW
8) BCEOOORRTW
9) BCCEEEORTW
10) none of these

Solution

TWO OCTOBER is the date for Gandhi Jayanti
and 4th option contains all the letters required to write it.

Correct Option: 4 Best Solution (0)

01 Oct 2012 sequence

4,7,12,19,28,39..............
next number of the sequence will be

OPtion

1) 52
2) 53
3) 54
4) 55
5) 58
6) 59
7) 60
8) 62
9) 65
10) none of these

Solution

7-4 = 3
12-7 = 5
19-12 = 7
28-19 = 9
similarly solve

Correct Option: 1 Best Solution (0)

28 Sep 2012 percentage

10 % of 20 % of 30 = x % of 100 % of y
and y = p * q
if p, q, x are successive integers then p+q+x will be

OPtion

1) 8
2) 10
3) 12
4) 15
5) 16
6) 17
7) 18
8) 20
9) 21
10) none of these

Solution

according to the given condition
[10*20*30]/[100*100] = [x*100*y]/[100*100]
so x*y = 60
and y = p*q
so x*p*q = 60
and possible set will be 3,4,5
so sum = 12

Correct Option: 3 Best Solution (6)