M4maths Previous Puzzles

10 Nov 2011 Diwali

A man went to market to buy some Diwali sweets. The shop keeper said him that he will give him a discount of as many rupee as many words can be formed by the letters of the word DIWALI. Calculate total amount the man has to pay to purchase 5 kg sweets at a rate of 580 rupee/kg.

OPtion

1) 2900
2) 2780
3) 2680
4) 2540
5) 2660
6) 2460
7) 2770
8) 2280
9) 2190
10) none of these

Solution

Cost of 5 kg sweets = 580*5 = 2900
discount = 6*5*4*3*2*1/2*1 = 360
so paid amount = 2900-360 = 2540

Correct Option: 4 Best Solution (7)

09 Nov 2011 metro

In a metro compartment there are 3-3 seven persons sitting in both sides besides it there are 2-2 two persons sitting in both sides. If all seats are filled and total persons in the compartment are 126, then how many % persons are sitting in the train with respect to the persons who are standing in the train.

OPtion

1) 65.8
2) 68.1
3) 69.2
4) 71.1
5) 39.7
6) 45.4
7) 49.8
8) 54.6
9) 60.0
10) none of these

Solution

total persons = 126
sitting persons = 50
standing persons = 76
so % = 50/76 = 65.8

Correct Option: 1 Best Solution (0)

08 Nov 2011 letter

The width of all the three lines of the letter H is 2 mm. Length of two side lines are 8 mm. each and that of the middle line is 6 mm. The cost of the letter H in the birthday cake is 10 rupee/mm^2 in golden shining. Total cost for writing H in the cake will be

OPtion

1) 280 rupee
2) 320 rupee
3) 340 rupee
4) 380 rupee
5) 400 rupee
6) 420 rupee
7) 440 rupee
8) 500 rupee
9) 580 rupee
10) none of these

Solution

Total area of the letter H = 8*2+6*2+8*2 = 44 mm^2
so cost = 440 rupee

Correct Option: 7 Best Solution (15)

07 Nov 2011 digital

How many numbers from 0-9 are there, for which number of lines required for their formation is equal to the numerical value of that number. Here you have to consider that every number is written in digital manner.

OPtion

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

Solution

these numbers are 4,5,6

Correct Option: 4 Best Solution (0)

04 Nov 2011 digital

Digital letter 8 is formed by using 7 small lines of equal length in calculator, similarly digital zero is formed by 6 small lines. Total no. of lines required to form all the 10 letters from digital 0 to digital 9 are

OPtion

1) 48
2) 49
3) 50
4) 51
5) 52
6) 53
7) 54
8) 55
9) 56
10) none of these

Solution

total no. of all the lines = 6+2+5+5+4+5+6+3+7+6 = 49

Correct Option: 2 Best Solution (16)

03 Nov 2011 station

The distance between two stations is 100 km. 2 cars start from A and B at the same time and return to the original station with speed 48 km/hr and 64 km/hr. The time gap between their meeting twice will be

OPtion

1) 10/7 hr
2) 20/17 hr
3) 25/14 hr
4) 30/7 hr
5) 27/14 hr
6) 3 hr
7) 20/7 hr
8) 4 hr
9) 5 hr
10) none of these

Solution

After first meeting total distance covered by the two cars upto second meeting = 200 km.
and relative velocity = 64+48 = 112
so time taken = 200/112 = 50/28 = 25/14

Correct Option: 3 Best Solution (16)

02 Nov 2011 Find the investment?

A man got 12% profit in his investment in tow out of 3 of his companies. If there was a loss of 6% in the third business, in which his investment was 10 lacs then for an overall profit of 8% what will be his total investment in the first 2 companies.

OPtion

1) 100000
2) 340000
3) 3500000
4) 3000000
5) 6000000
6) 3600000
7) 2500000
8) 2200000
9) 4500000
10) none of these

Solution

let his investment in first 2 companies is : X
X*0.12 - 60000 = (1000000+x)*0.08
by solve this we got
x= 3500000

Correct Option: 3 Best Solution (0)

01 Nov 2011 shoes probability?

There are 7 pair of shoes. The color of all the pairs are different. There is dark in the room. What will be the probability to get a complete pair. Left and right leg shoes can be differentiated.

OPtion

1) 1/13
2) 1/14
3) 2/13
4) 13/14
5) 2/3
6) 11/7
7) 1/7
8) 1/6
9) 2/7
10) none of these

Solution

1 shoes can be pick randomly
So probability to choosing the 2nd shoes is 1*1/7 because Left and right leg shoes can be differentiated.

Correct Option: 7 Best Solution (5)

31 Oct 2011 Find the next number

36,42,52,60,68,?

OPtion

1) 72
2) 73
3) 74
4) 76
5) 78
6) 80
7) 82
8) 82
9) 70
10) none of these

Solution

17,19,23,29,31,37,41 sum of consecutive prime numbers

so 37+41 = 78

Correct Option: 5 Best Solution (0)

29 Oct 2011 difference between meeting

The distance between two stations is 100 KM. 2 cars start from A and B stations at the same time with speeds 48 KM/H and 64 KM/H and returned to the initial station. The time gap between their two meetings will be

OPtion

1) 20/7 Hours
2) 25/22
3) 25/8
4) 25/14
5) 200/7
6) 100/7
7) 24/5
8) 25/18
9) 20/3
10) NONE OF THESE

Solution

Total distance covered between their meetings is 200 KM combined
total combined speed = 64+48 = 112
Time take to cover 200KM with 112 KM/H speed is
200/112
=25/ 14 Hour

Correct Option: 4 Best Solution (2)