M4maths Previous Puzzles

14 Oct 2021 Tax

Ramesh went to a shop and bought a book worth Rs. 105, out of which 72 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free Book ?

OPtion

1. 102.20
2. 101.50
3. 99.58
4. 99.01
5. 99.1
6. 102.28
7. 100.28
8. 98.28
9. 99.28
10. None of the above

Solution

Total cost of the items he purchased = Rs.105
Given that out of this Rs.105, 72 Paise is given as tax
=> Total tax incurred = 90 Paise = Rs.72/100
Let the cost of the tax free items = x
Given that tax rate = 18%
∴ (105− 72/100 − x)18/100 = 72/100
⇒ 18(105 −0.72 −x) = 72
⇒ (105 − 0.72 − x) = 72
x = 105 − 0.72 – 4
X= 100.28

Correct Option: 7 Best Solution (1)

13 Oct 2021 Exam

In final exam of class 10th there are 160 students 25 % students failed. How many students passed to class 11th?

OPtion

1. 104
2. 108
3. 110
4. 130
5. 140
6. 120
7. 125
8. 135
9. 115
10. None of the above

Solution

Percentage of students passed to class X = (100 % - 25 %) of 160
= 75 % of 160
=> 75/100 × 160
=>12000/100
=> 120
Therefore, 120 students passed to class X

Correct Option: 6 Best Solution (0)

12 Oct 2021 Fraction

What approximate value will come in place of the question mark (?) in the following question? 15% of 240 = 20% of ? – 25% of 200

OPtion

1. 196
2. 430
3. 540
4. 635
5. 840
6. 420
7. 520
8. 530
9. 480
10. None of the above

Solution

15% of 240 = 20% of ? – 25% of 200
0.20 × ? – 0.25 × 200 = 0.15 × 240
0.20× ? – 50 = 36
0.20× ? = 86
? = 430

Correct Option: 2 Best Solution (4)

11 Oct 2021 Leak on tank

A tap can fill a Tank in 12 hours, but due to a leakage it took 18 hours to fill the Tank. If the Tank is full, in what time will the Tank become empty due to leakage?

OPtion

1) 48 hrs
2) 40 hrs
3) 28 hrs
4) 32 hrs
5) 42 hrs
6) 72 hrs
7) 34 hrs
8) 36 hrs
9) 30 hrs
10) None of these

Solution

1/12-1/18 = 3-2/36
=>1/36
=>36 hours

Correct Option: 8 Best Solution (2)

08 Oct 2021 Train

A 140m meters long train takes 12 seconds to cross Virat walking at 4 kmph in a direction opposite to that of the train. Find the speed of train.

OPtion

1) 49 kmph
2) 52 kmph
3) 55 kmph
4) 56 kmph
5) 62 kmph
6) 51 kmph
7) 57 kmph
8) 38 kmph
9) 53 kmph
10) None of the above

Solution

Speed of train relative to man = ( X + 4) Kmph = (X + 4) x 5/18 m/seconds.
140/ (X + 4) x (5/18) = 12
(140 x 18)/ (X + 4) 5 = 12
60X + 240 = 2520
X = 2280/60 = 38 Kmph

Correct Option: 8 Best Solution (2)

07 Oct 2021 Cards

A card is drawn from a set of playing cards, what is the probability that card drawn is a card having number greater than 5 or less than 9?

OPtion

1. 6/13
2. 9/13
3. 6/26
4. 3/26
5. 5/13
6. 3/13
7. 7/13
8. 5/26
9. 7/26
10. None of the above

Solution

Total number of cards = 52 i.e.
Total number of outcomes = 52
There will be a total of 12 cards between 5 and 9
Total number of favorable outcomes = 12
The probability of picking card between 5 and 9 = 12/52 = 3/13

Correct Option: 6 Best Solution (3)

06 Oct 2021 Length of room

The cost of tiling a room 28 m long with a tile 35 cm wide at Rs.4.50 per metre is Rs.810. The breadth of the room is??

OPtion

1. 2.96
2. 7.5
3. 6.4
4. 2.50
5. 2.25
6. 3.25
7. 3.30
8. 3.50
9. 4.20
10. None of the above

Solution

Length of the tile =(Total cost of tiling /Rate per m tile)

=(8100/45)m=180m
As the tiles covers the whole room.

So, Area of the room = Area of the tiles

=(180×35/100)square m= 63 sq m

∴ Breadth of the room =(Area/Length)=(63/28)m

= 2.25 m

Correct Option: 5 Best Solution (1)

05 Oct 2021 Work

40 workers can build a house in 30 days. After ‘y’ days, 15 workers left the work and the whole work was completed in 42 days. find number of days after which 15 workers left the work?

OPtion

1. 17
2. 21
3. 30
4. 11
5. 15
6. 19
7. 13
8. 10
9. 12
10. None of the above

Solution

Total work =40 × 30=1200 units
ATQ, 40y+25×(42-y)=1200
40y + 1050 – 25y =1200
15y = 150
y=10

Correct Option: 8 Best Solution (3)

04 Oct 2021 Breadth

lawn is in the form of a rectangle having its breadth and length in the ratio 2 : 5. The area of the lawn is 1/8 hectare. The breadth of the lawn is (Approx. Value)

OPtion

1. 25
2. 24.6
3. 26.50
4. 26.36
5. 24.35
6. 22.36
7. 20.58
8. 21.56
9. 30.33
10. None of the above

Solution

1/8 hectare = 1/8 x10000 sq. Metre
= 1250 sq. metre
2x X 5x= 1250
x^2 = 1250 / 10
x^2 = 125
x = 11.18
Width = 2x = 2 x 11.18 = 22.36 metre

Correct Option: 6 Best Solution (3)

01 Oct 2021 letter

The width of all the three lines of the letter H is 3 mm. Length of two side lines are 6 mm. each and that of the middle line is 5 mm. The cost of the letter H in the birthday cake is 18 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) 828 rupee
8) 500 rupee
9) 580 rupee
10) none of these

Solution

Total Area of the letter H is:
2(6*3) + (5*3) = 51 mm^2
As rate is 18 rupee/mm^2
51 * 18 = 918 rupee

Correct Option: 10 Best Solution (0)