M4maths Previous Puzzles

15 Aug 2019 Probability

One alphabet letter is randomly picked from the word INDEPENDENT.
What is the probability that it would be a vowel?

OPtion

1) 4/20
2) 2/10
3) 4/5
4) 2/5
5) 4/11
6) 1/5
7) 2/7
8) 3/10
9) 3/11
10) None of these

Solution

Total number of letters in the word INDEPENDENT = 11
Total number of vowels IEEE = 4

Probability = 4/11

Correct Option: 5 Best Solution (0)

14 Aug 2019 Profit & Loss

150 oranges are bought for Rs. 400 and sold at the rate of Rs. 72 per dozen. The percentage of profit or loss is:

OPtion

1) 125%
2) 12.5%
3) 130%
4) 120%
5) 13.0%
6) 12.0%
7) 122.5%
8) 112.5%
9) 115%
10) None of these

Solution

CP of 1 orange = Rs 400/150 = 2.67
SP of 1 orange = Rs 72/12 = Rs. 6
Profit = 3.33
% profit = 100* 3.33/2.67 = 125%

Correct Option: 1 Best Solution (0)

13 Aug 2019 RANK of the word

Find Rank of the word PATRIOTISM in the dictionary of words formed by the letters of the word PATRIOTISM

OPtion

1) 462660
2) 462668
3) 462652
4) 462664
5) 462644
6) 462636
7) 462628
8) 462608
9) 462168
10) None of these

Solution

RANK is:462668

Correct Option: 2 Best Solution (1)

12 Aug 2019 Interest

At what rate of compound interest per annum will a sum of Rs. 1000 become Rs. 1144.9 in 2 years?

OPtion

1) 6.5%
2) 7.5%
3) 7.75%
4) 8.5%
5) 7.25%
6) 7.0%
7) 8.0%
8) 6.75%
9) 8.25%
10) None of these

Solution

We know, A = P (1 + r/n)^t 
Solving for R, we get R= 7%

Correct Option: 6 Best Solution (0)

09 Aug 2019 Area

If the diagonal of a rectangle is 31cm long and its perimeter is 78 cm. Find the area of the rectangle in sq. cm.

OPtion

1) 140
2) 240
3) 248
4) 560
5) 260
6) 270
7) 280
8) 300
9) 180
10) None of these

Solution

Let length = x and breadth = y then

2(x+y) = 78 => x+y = 39
x²+y² = 31² = 961
now (x+y)² = 39² = 1521
=> x²+y²+2xy= 1521
=> 961 + 2xy = 1521
=> xy = 280
area = xy = 280 sq.cm

Option 7)

Correct Option: 7 Best Solution (1)

08 Aug 2019 Probability

An alphanumeric character is randomly selected from following sentence:
"QUIT INDIA MOVEMENT"

What is the probability that its an vowel?
Note: Alphanumeric character means alphabet or number. Space and other characters should be ignored.

OPtion

1) 1/2
2) 8/15
3) 4/9
4) 8/19
5) 1/3
6) 4/7
7) 2/7
8) 8/17
9) 3/7
10) None of these

Solution

Total number of letters in the word QUIT INDIA MOVEMENT = 17
Total number of vowels = 8

Probability = 8/17

Correct Option: 8 Best Solution (0)

07 Aug 2019 Distance Traveled

A car can travels 450 kms in 4 hours. If the speed is decreased by 15 1/2 kmph, how much time does the car take to cover a distance of 873 km?

OPtion

1) 450 minutes
2) 490 minutes
3) 520 minutes
4) 550 minutes
5) 570 minutes
6) 34200 seconds
7) 32400 seconds
8) 32408 seconds
9) 32480 seconds
10) None of these

Solution

Speed = 450/4 = 112 1/2 kmph
Speed is reduced by 12 1/2 so new speed 112 1/2 - 12 1/2 = 97 kmph
time = 873/97 = 9 hrs = 32400 seconds

Correct Option: 7 Best Solution (5)

06 Aug 2019 Marks

Rahul has solved 245 questions in an examination. If he got only ‘0’ marks, then how many questions were wrong when one mark is given for each one correct answer and 2/3 mark is subtracted on each wrong answer.

OPtion

1) 94
2) 60
3) 98
4) 96
5) 80
6) 66
7) 92
8) 105
9) 72
10) None of these

Solution

Lets assume Rahul attempts 'x' questions correct and 'y' questions wrong, then
x + y = 245 ---(i) &
x - (2/3)y=0 ---(ii)

Putting value of x in equation (i), we get
(2/3) y + y = 245
=> (5/3)y =245
=> y = 147
and x = 98

Correct Option: 10 Best Solution (0)

05 Aug 2019 Simple Interest

How much amount would a person receive if he invests a sum of Rs. 12500 at the rate of 6.5% of simple interest for 12 years in a bank. Please note that bank levies a charge of Rs. 175 on every fixed deposit.

OPtion

1) 22250
2) 22075
3) 21075
4) 20075
5) 22025
6) 22275
7) 22225
8) 21025
9) 20175
10) None of these

Solution

SI = PRT/100 = 12500*12*6.5/100 = 9750

A = 12500 + 9750
= 22250

Amount received = 22250 - 175 = 22075

Correct Option: 2 Best Solution (2)

02 Aug 2019 RANK of the word

Note: There was typo error in the question which has been corrected now, we would decide this week's winner based on the score till Thursday.

Find Rank of the word INDIAN in the dictionary of words formed by the letters of the word INDIANS

OPtion

1) 571
2) 570
3) 568
4) 565
5) 547
6) 543
7) 572
8) 569
9) 566
10) None of these

Solution

360 + 180 + 24 + 6 + 0 + 0 + 0 = 570
570 + 1 = 571
i.e., Rank of the word 'INDIANS' = 571

Correct Option: 1 Best Solution (0)