M4maths Previous Puzzles

27 Feb 2019 Profit & Loss

If on an item a company gives 35% discount, they earn 20% profit. If they now give 20% discount then what is the profit percentage.

OPtion

1) 50.000
2) 48.000
3) 47.000
4) 46.000
5) 45.000
6) 47.696
7) 46.696
8) 47.069
9) 45.696
10) None of these

Solution

Let the CP of item would be 100
After 35% disucount company still makes 20% profit so discounted price is = 120

Lets assume SP without discount is X, so after 35% discount discounted SP = 0.65X
So 0.65 X = 120, X= 184.62

So SP without discount or MRP = 184.62
New Discount Percent = 20%

Actual SP when discount is 20% = 0.8 * 184.62 = 147.696

Profit when CP is 100 = 147.696 - 100 = 47.696

Profit % = 47.696%

Correct Option: 6 Best Solution (3)

26 Feb 2019 Series

24, 32, ?, 62, 74, 102

OPtion

1) 36
2) 42
3) 44
4) 46
5) 48
6) 50
7) 38
8) 52
9) 54
10) None of these

Solution

24 + (2*4) = 32
32 + (3*2) = 38
38 + (3*8) = 62
62 + (6*2) = 74
74 + (7*4) = 102

Correct Option: 7 Best Solution (0)

25 Feb 2019 Ratio

A man distributes 0.395 of his money to his wife and 0.450 to his son. He has still Rs.3,875 left with him. How much did his wife get?

OPtion

1) 25000
2) 22500
3) 20000
4) 18000
5) 16000
6) 09875
7) 17500
8) 15000
9) 14000
10) None of these

Solution

Part left with man = 1 - (0.395+0.450) = 0.155

0.155 is left with him which amounts to 3,875
So 0.395 which is wife's share = 3875*(0.395/0.155) = Rs. 9875

Correct Option: 6 Best Solution (0)

22 Feb 2019 Interest

Mohita deposits Rs.15,000 in her bank account for 6 years to earn a simple interest of 11.5 %.what amount will she get after 6 years?

OPtion

1) 10550
2) 10950
3) 10350
4) 10450
5) 10650
6) 25350
7) 25450
8) 25550
9) 25650
10) None of these

Solution

SI = PRT/100 = 15000*11.5*6/100 = 10350

A= P+SI = 15000 + 10350 = 25350

Correct Option: 6 Best Solution (3)

21 Feb 2019 Combination

There are 31 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender and number of girls and guys in the team should NOT be equal. How many ways can such a team be made?

OPtion

1) 15680
2) 15480
3) 15280
4) 15180
5) 15380
6) 15080
7) 15600
8) 15580
9) 15880
10) None of these

Solution

boys=15 and girls=16 now the combinations are {girl,girl,girl,boy} or {boy,boy,boy,girl}
so 16c3*15c1 + 15c3*16c1 = 560*15 + 455*16 = 15680

Correct Option: 1 Best Solution (6)

20 Feb 2019 Profit & Loss

If a shopkeeper purchases cashew-nuts at Rs. 700 per kg. and sells it at Rs 45 per 50 gms, then he will have how much profit or loss percentage?

OPtion

1) 20.00 % profit
2) 28.07 % profit
3) 28.57 % loss
4) 22.57 % profit
5) 24.87 % profit
6) 29.98 % profit
7) 28.57 % profit
8) 26.57 % profit
9) 27.87 % profit
10) None of these

Solution

The Cost price of 1 kg cashew nuts = Rs.700
Cost price of 50 g of cashew nut = (700*50)/1000 = 35
The selling price of 50 g cashew nuts = Rs.45
Profit = Selling Price -Cost price = 45-35 = 10
Profit % = Profit x 100/Cost price
Profit % = 10 x 100/35 = 28.57% profit
Hence, the answer is 28.57% profit

Correct Option: 7 Best Solution (0)

19 Feb 2019 Time and Distance

Shaktiman saw a criminal at a distance of 10m. When Shaktiman started chasing him the criminal also started running. If the ratio of Speeds of Shaktiman to Criminal is 12:9. Then how much distance did Shaktiman run to catch the Criminal?

OPtion

1) 360m
2) 320m
3) 370m
4) 349m
5) 340m
6) 380m
7) 375m
8) 325m
9) 335m
10) None of these

Solution

Let the distance traveled by criminal before he is caught be x

Time taken by Shaktiman = Time taken by Robber

(10 + x)/12 = x/9
=> 30 + 3x = 4x
=> x = 30m
Distance traveled by Shaktiman = 30+10 = 40m

Option 10)

Correct Option: 10 Best Solution (0)

18 Feb 2019 Speed & Distance

A train having a length of 360 m passes a post in 27 seconds. How long will it take to pass a platform having a length of 940 m?

OPtion

1) 96.00 sec
2) 97.50 sec
3) 97.00 sec
4) 98.50 sec
5) 96.50 sec
6) 95.21 sec
7) 96.12 sec
8) 99.50 sec
9) 98.20 sec
10) None of these

Solution

Time taken to cross post=length of train/speed of train
so speed of train=360/27 m/sec

time to cross platform= (length of train+length of platform) / speed of train
time = (360+940)/(360/27) = 97.5 sec

Correct Option: 2 Best Solution (6)

15 Feb 2019 Area

If the diagonal of a rectangle is 14cm long and its perimeter is 32 cm. Find the area of the rectangle.

OPtion

1) 30 sq.cm
2) 36 sq.cm
3) 48 sq.cm
4) 44 sq.cm
5) 50 sq.cm
6) 52 sq.cm
7) 42 sq.cm
8) 46 sq.cm
9) 54 sq.cm
10) None of these

Solution

Let length = x and breadth = y then

2(x+y) = 32 => x+y = 16
x²+y² = 14² = 196
now (x+y)² = 16²
=> x²+y²+2xy= 256
=> 196 + 2xy = 256
=> xy = 30

Area = xy = 30 sq.cm

Correct Option: 1 Best Solution (0)

14 Feb 2019 Valentine's Day

Four boys each sent a card to a different girl.

Rahul did not send a card to Aaliyah
Shubham sent a card to either Gehana or Pankhudi
Gehana did not receive a card from Amit or Ricky
Neither Amit nor Ricky sent a card to Ishika
Ricky would never send a card to Aaliyah
Pair up the boys and girls?

OPtion

1) Rahul-Pankhudi, Shubham-Gehana, Amit-Ishika, Ricky-Aaliyah
2) Rahul-Pankhudi, Shubham-Ishika, Amit-Gehana, Ricky-Aaliyah
3) Rahul-Ishika, Shubham-Pankhudi, Amit-Gehana, Ricky-Aaliyah
4) Rahul-Aaliyah, Shubham-Pankhudi, Amit-Gehana, Ricky-Ishika
5) Rahul-Gehana, Shubham-Aaliyah, Amit-Pankhudi, Ricky-Ishika
6) Rahul-Aaliyah, Shubham-Gehana, Amit-Pankhudi, Ricky-Ishika
7) Rahul-Ishika, Shubham-Aaliyah, Amit-Gehana, Ricky-Pankhudi
8) Rahul-Ishika, Shubham-Gehana, Amit-Aaliyah, Ricky-Pankhudi
9) Rahul-Gehana, Shubham-Pankhudi, Amit-Aaliyah, Ricky-Ishika
10) None of these

Solution

Lets make a matrix of possible combinations based on given options

Note X depends a combination which is not possible
* denotes the actual combination
A G P I
R X *
S *
A * X X
R X X * X

So the right answer is:
Rahul-Ishika, Shubham-Gehana, Amit-Aaliyah, Ricky-Pankhudi

Correct Option: 8 Best Solution (0)