M4maths Previous Puzzles

20 Nov 2018 Race

In a race of 400 m, A can beat B by 120 m and C by 80 m. In a race of 1000 m, C will beat B by:

OPtion

1) 75
2) 25
3) 100
4) 40
5) 125
6) 350
7) 150
8) 450
9) 175
10) None of these

Solution

When A covers 400m B Covers 280m
When A Covers 400m C covers 320

A : B = 400 : 280
A : C = 400 : 320

C/B = (C/A*A/B) = (320/280) = 320:280
When C covers 320 m, B covers 280 m.
When C covers 1000 m, B covers (280/320)*1000)m = 875m
Therefore, C beats B by (1000 - 875) m = 125 m.

Option 5)

Correct Option: 5 Best Solution (0)

19 Nov 2018 Series

What is the next term of following series:
0, 7, 26, 63, 124

OPtion

1) 216
2) 217
3) 230
4) 236
5) 235
6) 344
7) 215
8) 239
9) 234
10) None of these

Solution

nth term = n^3 - 1
n=1, 2, 3, 4, 5, 6, and so on

So 6th term = 6^3 - 1 = 215

Option 2)

Correct Option: 7 Best Solution (0)

16 Nov 2018 Profit and Loss

786 bananas are bought for Rs. 2751 and sold at the rate of Rs. 35 per half dozen. The percentage of profit or loss is:

OPtion

1) 6.67 % Profit
2) 66.5 % Profit
3) 66.67 % Loss
4) 35.555 % Profit
5) 166.667 % Profit
6) 37.7777 % Profit
7) 25.00 % Profit
8) 66.67 % Profit
9) 34.5 % Profit
10) None of these

Solution

Cost of 1 banana= 2751/786 = 3.5
Selling price of 1 banana = 35/6 = Rs. 5.83333

As SP > CP so its profit
So Profit % = (5.83333 - 3.5 )*100/3.5 = 66.66667 =~66.67 %

Option 8)

Correct Option: 8 Best Solution (8)

15 Nov 2018 Age

The present ages of A,B and C are in proportions 3:4:5. Six years ago, the sum of their ages was 54. What is the product of their present ages?

OPtion

1) 7500
2) 12960
3) 3840
4) 20580
5) 30720
6) 24000
7) 43740
8) 42000
9) 15860
10) None of these

Solution

Answer: 12960 years


Six years ago sum of Ages of A, B and C = 54
Six years later i.e. sum of current ages of A, B and C = 54 + 3*6 = 72

Present Age of A = 72*3/(3+4+5) = 18 years

Present Age of B = 72*4/(3+4+5) = 24 years
Present Age of C = 72*5/(3+4+5) = 30 years

Product of their ages = 12960

Option 2)

Correct Option: 2 Best Solution (11)

14 Nov 2018 Bankers Discount

The banker's discount on a bill due 9 months hence at 12% is Rs. 3300. What is the true discount?

OPtion

1) 3401.66
2) 3004.96
3) 3054.54
4) 3445.65
5) 3027.52
6) 3029.41
7) 3078.88
8) 3007.23
9) 3011.26
10) None of these

Solution

T.D.=B.D. x 100 /(100 + (R x T))
=> 3300*100/(100+(12*9/12))
=> ~3027.52

Option 5)

Correct Option: 5 Best Solution (2)

13 Nov 2018 Ratio

Ghasitaram bought 210 Eggs While carrying he slipped due to which some of the eggs were broken. What cannot be the ratio of broken and unbroken eggs?

OPtion

1) 5:2
2) 14:1
3) 2:1
4) 6:1
5) 4:3
6) 5:1
7) 3:2
8) 4:1
9) 34:1
10) None of these

Solution

210 can be divided into all the given ratio.

3:1 is one of the ratio in which 210 cannot be divided but that's not part of the given options

Option 10)

Correct Option: 10 Best Solution (0)

12 Nov 2018 Series

What is the next term of following series:
101, 103, 107, 109,
113

OPtion

1) 117
2) 119
3) 121
4) 123
5) 125
6) 127
7) 129
8) 115
9) 120
10) None of these

Solution

Series is formed by prime number starting at 101 so next prime number is 127
Option 6)

Correct Option: 6 Best Solution (4)

09 Nov 2018 Lift

Jack enters a lift on the 5th floor, which is going up @ 17 floors/min speed. At the same time Jill

enters another lift on the 180th floor which is going down @ 18 floors/min speed. At what floor will

they be together?

OPtion

1) 80
2) 90
3) 100
4) 75
5) 85
6) 95
7) 81
8) 91
9) 101
10) None of these

Solution

Relative Speed = 17+18 = 35 floors/min
Relative Distance = 180 - 5 = 175 floors

Time to cover 170 floors with relative speed = 175*60/35 = 300 seconds

Floors travelled by Jack in 300 seconds = (17/60)*300 = 85
Floors on which they will meet = 5 + 85 = 90th
Option 2)

Correct Option: 2 Best Solution (12)

08 Nov 2018 Profit and Loss

A vendor bought 786 toffees for 1965 rupees. How many toffees in 925 rupees must he sell to gain 48%?

OPtion

1) 531
2) 532
3) 533
4) 554
5) 535
6) 575
7) 500
8) 250
9) 560
10)None of these

Solution

CP of 1 toffees = 1965/786 = Rs. 2.5
SP of 1 toffees for 48% profit = 2.5*1.48 = Rs. 3.7
So in 925 Rupess number of toffees to be sold = 925/3.7 = 250

Option 8)

Correct Option: 8 Best Solution (4)

07 Nov 2018 Diwali Puzzle - Happy Deepawali

Sheelu has following crackers kept in a bag:
3 pieces of Anar,
5 pieces of Chakri,
7 pieces of Rocket and
4 pieces Chocolate Bomb

On the day of Diwali, he randomly pulls out one cracker (which ever comes to his hand first) from the bag.

What is the probability that it was a Chakri?

OPtion

1) 3/19
2) 3/20
3) 7/20
4) 7/19
5) 4/19
6) 6/19
7) 5/19
8) 5/20
9) 4/20
10) none of these

Solution

Total number of crackers = 3+5+7+4= 19
Total number of chakris = 5

Probability = 5/19

Correct Option: 7 Best Solution (0)