M4maths Previous Puzzles

03 Mar 2021 Fraction

The denominator of a fraction decreases the numerator by 6 and if 8 be added to both the
fraction becomes 9 / 7. Find the fraction

OPtion

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

Solution

Let x be the numerator and the fraction be x / (x - 6).
By the question,
x + 8 / (x - 6 + 8) = 9 / 7
7x + 56 = 9x + 18
-2x = -38, x = 19
So, the fraction will be
19 / 13.

Correct Option: 1 Best Solution (2)

02 Mar 2021 Percentage

The number of seats in a cinema hall is increased by 25%. The cost of each ticket is increased by 10%. The effect of these changes on the revenue collection will be an increase of?

OPtion

1) 32.6%
2) 34.5%
3) 35.5%
4) 37.5%
5) 40%
6) 42%
7) 36%
8) 36.5%
9) 38.5%
10) None of the above

Solution

Let the number of seats initially inth cinema hall be 100 and the cost of weach ticket be ₹ 100.
Total revenue = 100 x 100 = ₹10000
In second condition,
Number of seats = 125
Cost of new tickets = ₹110
New Revenue = 110 x 125 = ₹13750
Increase in revenue collection = ₹ (13750-10000) = ₹3750
Percentage increase = (3750/10000) x 100 = 37.5%

Correct Option: 4 Best Solution (3)

01 Mar 2021 arrangement of words

In how many ways the letter of the word ‘PERFECT’ be arranged?

OPtion

1) 3020
2) 2850
3) 2460
4) 2630
5) 2580
6) 2420
7) 2520
8) 2690
9) 3050
10) None of the above

Solution

Since the word PERFECT contains 7 characters, it letter can be arranged in 7! Ways.
It contains two number of E, therefor you have to divide above value by 2!.
Hence required number of arrangements = 7! / 2!
= 2520

Correct Option: 7 Best Solution (3)

26 Feb 2021 Classes

In a school, 442 boys and 374 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes?

OPtion

1) 28
2) 26
3) 32
4) 30
5) 22
6) 23
7) 25
8) 24
9) 27
10) None of the above

Solution

Number of boys = 442
Number of girls = 374
Strenght of class = HCF of 442 and 374 = 34
Number of classes of boys = 442 / 34 = 13
Number of classes of girls = 374 / 34 = 11
So, Required number of classes = 13+11 = 24

Correct Option: 8 Best Solution (0)

25 Feb 2021 Interest

Kavindra deposited ₹45000 in a bank for two years with the interest rate of 5.5% p.a. How much interest would she earn?

OPtion

1) ₹5500
2) ₹5250
3) ₹5450
4) ₹5000
5) ₹4900
6) ₹4950
7) ₹4800
8) ₹4850
9) ₹5200
10) None of the above

Solution

Required interest amount is given by
I = P × i × t
= ₹45000 × 5.5/100 × 2
= ₹4950

Correct Option: 6 Best Solution (3)

24 Feb 2021 Loss

The price of a motorcycle is increased by 25% of cost price and then decreased by 40% of the new price. On selling, the loss for the dealer was ₹5,000. At what price was the motorcycle sold?

OPtion

1) ₹16500
2) ₹15500
3) ₹18000
4) ₹17850
5) ₹15000
6) ₹14000
7) ₹14500
8) ₹18500
9) ₹15800
10) None of the above

Solution

Final difference % = 25-40-(25*45/100) = -25 %.
So, if 25 % = 5,000
then 100 % = 20,000.
C.P = 20,000
S.P = 20,000 - 5,000= 15,000.

Correct Option: 5 Best Solution (2)

23 Feb 2021 Ratio

Rounaq weighs 56.7 kg. If he reduces his weight in the ratio 7 : 6, find his new
weight.

OPtion

1) 45.6
2) 46.8
3) 44.5
4) 48.6
5) 48.0
6) 47.6
7) 43.6
8) 42.8
9) 47.0
10) None of the above

Solution

Original weight of Rounaq = 56.7 kg.
He reduces his weight in the ratio 7 : 6
His new weight = (6 × 56.7)/7 = 6 × 8.1 = 48.6 kg.

Correct Option: 4 Best Solution (3)

22 Feb 2021 Combination

When a Minister arrives to his cabin, he finds 12 peoples waiting to meet him.
If he can meet only one people at a time, find the number of ways, he can schedule his meeting with the person if 3 leave in disgust before minister gets around to meeting them.

OPtion

1) 79,133,600 ways
2) 79,500,600 ways
3) 79,833,600 ways
4) 75,833,600 ways
5) 80,800,600 ways
6) 79,833,500 ways
7) 74,425,600 ways
8) 78,533,400 ways
9) 76,333,666 ways
10) None of the above

Solution

There are total 12 peoples.
3 of them leave hence total remaining = 9
They can be meet in 12P9 ways.
12P9 = 79,833,600 ways

Correct Option: 3 Best Solution (3)

19 Feb 2021 Work & Time

26 operators working 7 hours a day can complete a set of job in 24 days. In how many days will 21 operators working 8 hours a day do the same set of job?

OPtion

1) 21 DAYS
2) 23 DAYS
3) 19 DAYS
4) 20 DAYS
5) 28 DAYS
6) 27 DAYS
7) 22 DAYS
8) 30 DAYS
9) 26 DAYS
10) None of the above

Solution

We have- M1D1T1 = M2D2T2
D2 = M1D1T1 / M2T2
D2 = 26 X 7 X 24 / 21 X 8
= 26 DAYS

Correct Option: 9 Best Solution (0)

18 Feb 2021 Shares

Ranjeet was devided his company shares among Rohan and Gautam in the ratio 4 : 7. If Gautam’s share was 3500 nos., the total sum of shares was (in numbers)?

OPtion

1) 5800
2) 5700
3) 4800
4) 4400
5) 5200
6) 5500
7) 6000
8) 4600
9) 3500
10) None of the above

Solution

Rohan : Gautam = 4 : 7
Given, 7 /(4 + 7) of total sum = 3500
Total sum = 3500 x 11/7
= 5500 nos.

Correct Option: 6 Best Solution (3)