M4maths Previous Puzzles

04 Jul 2018 Simple Interest

Divide Rs. 16653 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The second part is

OPtion

1) 5313
2) 5544
3) 5796
4) 5323
5) 5539
6) 5791
7) 5315
8) 5545
9) 5792
10) None of these

Solution

Let the parts be x, y and z
x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)
11x/10 = 23y/20 = 6z/5 = k
x = 10k/11, y = 20k/23, z = 5k/6
But x + y + z = 16653
10k/11 + 20k/23 + 5k/6 = 16653
k = 6375.6
y = (20/23)*6375.6 = 5544
Hence, the second part is Rs. 5544

Correct Option: 2 Best Solution (4)

03 Jul 2018 Probability

In a certain corporation, there are 12500 male employees and 750 female employees.  It is known that 15% of the male employees have advanced degrees and 50% of the females have advanced degrees.  If one of the employees is chosen at random, what is the probability this employee doesn't has an advanced degree?

OPtion

1) 22/53
2) 85/106
3) 88/107
4) 81/103
5) 43/52
6) 44/53
7) 91/106
8) 83/106
9) 87/106
10) None of these

Solution

Total number of employees = 12500+750 = 13250

Number of male employees without Adv. degree = 12500*85/100 = 10625
Number of female employess without Adv. degree = 750*50/100 = 375
Total number of employees without adv. degree = 11000

Probability = 11000/13250 = 44/53

Correct Option: 6 Best Solution (4)

02 Jul 2018 Compound Interest

What would be compound interest (compounded annually) on a sum of Rupees 2018 at the rate of 7% for a period of 2 years?

OPtion

1) 2310.41
2) 2318.05
3) 0300.50
4) 2210.41
5) 2320.41
6) 2300.41
7) 0292.41
8) 2282.41
9) 2297.41
10)None of these

Solution

CI = P [(1+r)^T -1] = 2018 [(1+7/100)^2 -1]
=> 2018 [1.07^2 -1 ] = 292.41

Correct Option: 7 Best Solution (6)

29 Jun 2018 Mean, Median and Mode

Find the product of one fifth of mean, two third of median and two times of mode (i.e. you need to find (1/5*mean* 2/3*median * 2*mode) for the following list of values?

121 107 91
97 131 147
111 91 119
117 133

OPtion

1) 349860
2) 346508
3) 326588
4) 329508
5) 365820
6) 376508
7) 366508
8) 326508
9) 336508
10) None of these

Solution

Mean = Sum of nos. / Count of numbers = 1265/11 = 115
Median = Middle term when number are arranged in ascending order = 117
Mode = Number which is present maximum number of times = 91
Product = (1/5*115) * (2/3*117)* (2*91) = 326508

Option 8)

Correct Option: 8 Best Solution (5)

28 Jun 2018 Profit and Loss

A vendor bought 110 toffees for 330 rupees. How many toffees in 330 rupees must he sell to gain 25%?

OPtion

1) 100
2) 98
3) 86
4) 94
5) 88
6) 90
7) 89
8) 87
9) 91
10)None of these

Solution

CP of 1 toffees = 330/110 = Rs. 3
SP of 1 toffees for 25% profit = 3*1.25 = Rs. 3.75
So in 330 Rupees number of toffees to be sold = 330/3.75 = 88

Option 5)

Correct Option: 5 Best Solution (6)

27 Jun 2018 Time and Distance

Shaktiman saw a criminal at a distance of 35m. When Shaktiman started chasing him the criminal also started running. If the ratio of Speeds of Shaktiman to Criminal is 12:11. Then how much distance did Shaktiman run to catch the Criminal?

OPtion

1) 4655m
2) 4620m
3) 4700m
4) 4660m
5) 4555m
6) 4675m
7) 4680m
8) 4685m
9) 4335m
10) None of these

Solution

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

Time taken by Shaktiman = Time taken by Robber

(35 + x)/12 = x/11
=> 11*35 + 11x = 12x
=> x = 385
Distance travelled by Shaktiman = 385+35 = 420m

Option 10)

Correct Option: 10 Best Solution (6)

26 Jun 2018 LCM

Two numbers are in the ratio 5 : 7. If their L.C.M. is 175. what is product of the numbers?

OPtion

1) 775
2) 810
3) 840
4) 675
5) 710
6) 875
7) 910
8) 945
9) 980
10) None of these

Solution

Let the numbers be 5x and 7x
LCM of 5x and 7x is 35x

So as per question 35x = 175
=> x= 5

5x = 25 and 7x = 35

Product = 875

Correct Option: 6 Best Solution (20)

25 Jun 2018 Series

Find the sixth term of following series
2, 7, 14, 23, ..

OPtion

1) 34
2) 33
3) 35
4) 37
5) 31
6) 36
7) 47
8) 45
9) 41
10) None of these

Solution

In this sequence, the next term is evaluated by the expression:
n^2 - 2 where first term is 2

So 6th term is 7^2 -2 = 47

Correct Option: 7 Best Solution (7)

22 Jun 2018 Bankers Discount

The banker's discount on a bill due 8 months hence at 11% is Rs. 4700. What is the true discount?

OPtion

1) 4301.66
2) 4304.96
3) 4306.65
4) 4308.65
5) 4318.88
6) 4309.06
7) 4378.88
8) 4307.23
9) 4311.26
10) None of these

Solution

T.D.=B.D. x 100 /(100 + (R x T))
=> 4700*100/(100+(11*8/12))
=> ~4378.88

Option 7)

Correct Option: 7 Best Solution (6)

21 Jun 2018 Work & Time

If 6 men and 10 women can do a piece of work in 15 days and 5 men and 9 women can do it in 17 days,

how many days will 5 men and 12 women take to do it?

OPtion

1) 13.75
2) 12.50
3) 13.33
4) 12.33
5) 13.60
6) 14.50
7) 14.33
8) 13.75
9) 14.66
10) None of these

Solution

Let a man's daily work is x units and that of a woman is y units.
So total amount of work, W = 15(6x + 10y) = 17(5x + 9y)

Solving we get, 90x - 85x = 153y - 150y
=> 5x = 3y
=> y = (5/3)x


Now, 6 x + 10 y can do work in 15 days.
So, 6x + (50/3) x can do work in 15 days.
So, 68x/3 can do work in 15 days.

Now, 5x + 12y = 5x + 20x = 25x

Hence, if 68x/3 can do work in 15 days, 25x can do work in (13*34)/39 = 13.6 days.

Option 5)

Correct Option: 5 Best Solution (9)