M4maths Previous Puzzles

23 Jun 2021 Puzzle

If X stands for 'add', Y stands for 'subtract', Z stands for 'divide' and P stands for 'multiply' then what is the value of (27 Z 3) P 11 X 5?

OPtion

1) 110
2) 112
3) 114
4) 104
5) 100
6) 106
7) 99
8) 90
9) 101
10) None of the above

Solution

As given-
= (27 / 3) * 11 + 5
= 9 * 11 + 5
= 99 + 5 = 104

Correct Option: 4 Best Solution (3)

22 Jun 2021 Train & Speed

If a Delhi to Mumbai Rajdhani train running at the speed of 30 m/s and covers 4.2 km long chunk in 7 minutes, then the length of the train is:

OPtion

1) 8.2 km
2) 8.6 km
3) 8.4 km
4) 7.8 km
5) 7.4 km
6) 9.0 km
7) 9.2 km
8) 9.4 km
9) 8.8 km
10) None of the above

Solution

Let the length of the train be y meters.
Time taken by the train to cover (4200+ y) meters at 30m/s in 420 seconds
i.e., distance = speed x time
(4200+y) = 30 x 420
4200+y = 12600
y = 12600 - 4200 m
i.e., y = 8.4 km
Hence the length of the train is 8.4 km

Correct Option: 3 Best Solution (5)

21 Jun 2021 Area

One side of a rectangular lawn is 24m and one of its diagonals is 30m. Find the area of the field.

OPtion

1) 270 m²
2) 266 m²
3) 262 m²
4) 274 m²
5) 278 m²
6) 268 m²
7) 282 m²
8) 285 m²
9) 258 m²
10) None of the above

Solution

As the lawn in rectangular shape then,
The other side will be = √[(30) ²-(24)²] = √900 -576 = √324 = 18m
Area = (24 x 18) m² = 432m²

Correct Option: 10 Best Solution (0)

18 Jun 2021 Volume

Find the number of tiles, each measuring 20 cm x 14 cm x 6 cm, required to construct a wall 20 m long, 10 m high and 70cm thick. IF 10% of the wall is filled with mortar?

OPtion

1) 45000
2) 48000
3) 70000
4) 68000
5) 62000
6) 72000
7) 75000
8) 82000
9) 80000
10) None of the above

Solution

Volume of the wall to be constructed = (2000 x 1000 x 70) cm³
Volume of the tiles = 90% of the volume of the wall
= (90/100 x 2000 x 1000 x 70) cm³
Volume of 1 tile = (20 x 14 x 6) cm³
Hence the numbers of tiles are required
= [ 90/100 (2000x1000x70)/(20x14x6)]
=75000

Correct Option: 7 Best Solution (3)

17 Jun 2021 AVERAGE AGE

The average age of a group of 15 players is 23 years. If the age of the coach be included, then the average increases by 6 months. Find the age of the coach.

OPtion

1) 28
2) 25
3) 27
4) 31
5) 35
6) 32
7) 34
8) 29
9) 33
10) None of the above

Solution

Total age of 15 Players = 23 x 15 = 345 years
Average age of 15 players and their coach = 23 years and 6 months = 23.5 years
Total age of 15 players and their coach = 23.5 x 16 = 376 years
Hence age of the coach = 376 – 345 = 31 years

Correct Option: 4 Best Solution (3)

16 Jun 2021 Age

Ankit is younger than Namit by 6 years. If their ages are in the respective ratio of 6 : 9, how old is Ankit?

OPtion

1) 16
2) 17
3) 21
4) 14
5) 12
6) 20
7) 18
8) 22
9) 10
10) None of the above

Solution

Let Namit’s age is X
Then Ankit’s age will be (X – 6)
As given- (X – 6) / X = 6/9
9X – 54 = 6X
3X = 54
X = 18
Hence Ankit’s Age will be = 18-6 = 12 years.

Correct Option: 5 Best Solution (4)

15 Jun 2021 Time

In a km race, Ashok beats Raman by 30 meters or 12 seconds. Find Ashok’s approximate time over the course?

OPtion

1) 10 min.
2) 7 min.
3) 5.5 min.
4) 4.3 min.
5) 6 min.
6) 8.5 min.
7) 7.7 min.
8) 6.46 min.
9) 5.22 min.
10) None of the above

Solution

As given, Raman covers 30 m in 12 seconds.
Raman’s time over the course = 12/30 x1000 = 400 seconds
Ashok’s time over the course = (400 – 12) = 388 seconds = 6.46 minutes

Correct Option: 8 Best Solution (1)

14 Jun 2021 Depth

If the capacity of a cylindrical tank is 4004 m^3 and the diameter of its base is 14 m, then find the depth of the tank?

OPtion

1) 82 m
2) 86 m
3) 88 m
4) 95 m
5) 96 m
6) 93 m
7) 91 m
8) 99 m
9) 98 m
10) None of the above

Solution

Let the depth of the tank be h meter
πr²h = 4004
h = 4004/ πr²
h = [(4004 x 7/22 x 1/(7x7)]
h = 26 m.

Correct Option: 10 Best Solution (0)

11 Jun 2021 Train & Speed

How many seconds will a 468 m long train take to cross a man driving his motor bike at a speed of 39 km/hr in a direction of the moving train if the speed of the is 120 Km/hr.

OPtion

1) 28.0
2) 25.0
3) 21.5
4) 20.5
5) 22.5
6) 20.8
7) 19.8
8) 20.0
9) 23.8
10) None of the above

Solution

Speed of train relative to man on bike = 120 – 39 = 81 Km/hr
= (81 x 5/18) m/sec = 45/2 m/sec
Time taken to pass the man = 468/22.5 = 20.8 sec.

Correct Option: 6 Best Solution (3)

10 Jun 2021 Profit & Loss

Arman incurs 6% loss by selling a laptop charger for ₹1269. At what price should the charger be sold to earn 6% profit?

OPtion

1) 1360
2) 1250
3) 1260
4) 1400
5) 1440
6) 1450
7) 1431
8) 1436
9) 1500
10) None of the above

Solution

Let the new S.P. be ₹ x
Then, (100 – loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)
(100 – 6) / 1269 = (100 + 6) / x
X = (106 x 1269)/94
X = 134514/94 = ₹1431

Correct Option: 7 Best Solution (3)