M4maths Previous Puzzles

11 Oct 2017 Bankers Discount

The banker's discount on a bill due 10 months hence at 11% is Rs. 2017. What is the true discount?

OPtion

1) 1870.66
2) 1857.08
3) 1847.63
4) 1843.78
5) 1846.36
6) 1848.06
7) 1856.92
8) 1844.26
9) 1865.34
10) None of these

Solution

T.D.=B.D. x 100 /(100 + (R x T))
=> 2017*100/(100+(11*10/12))
=> ~1847.63

Option 3)

Correct Option: 3 Best Solution (10)

10 Oct 2017 Probability

In a certain corporation, there are 1230 male employees and 270 female employees.  It is known that 10% of the male employees have advanced degrees and 30% of the females have advanced degrees.  If one of the employees is chosen at random, what is the probability this employee has an advanced degree and is female?

OPtion

1) 17/125
2) 19/125
3) 23/125
4) 23/500
5) 27/500
6) 29/500
7) 53/250
8) 51/250
9) 57/250
10) None of these

Solution

Total number of employees = 1230+270 = 1500

Number of female employess with Adv. degree = 270*30/100= 81

Probability = 81/1500 = 27/500

Correct Option: 5 Best Solution (6)

09 Oct 2017 Find the Product

What is the product of smallest and largest 5 digit numbers formed using below digits:
7, 2, 1, 3, 0, 8, 4, 6

OPtion

1) 896908462
2) 896918462
3) 896928462
4) 896938462
5) 896948462
6) 896958462
7) 896968462
8) 896978462
9) 896988462
10) None of these

Solution

Smallest 5 digit numbers using the given digits is: 10234
Largest 5 digit numbers using the given digits is: 87643
And their product is: 896938462

Correct Option: 4 Best Solution (13)

06 Oct 2017 CI & SI

The difference between simple interest and the compound interest on a certain amount of money for 3 years at 10.0% per annum is Rs. 527. The sum is:

OPtion

1) Rs.18000
2) Rs.19000
3) Rs.16000
4) Rs.16500
5) Rs.17000
6) Rs.17500
7) Rs.15000
8) Rs.16800
9) Rs.17800
10)None of these

Solution

Let the sum be Rs.x. then S.I.=(x*10*3 / 100) = 3x/10 = 0.3x
C.I = [x(1+10/100)^3 -x] = [x(1331/1000) -x] = 0.331x
CI-SI=527
=> 0.331x- 0.3x = 527
=> 0.031x = 527
=> x = 17000

Option 5)

Correct Option: 5 Best Solution (10)

05 Oct 2017 Stocks & Shares

The market value of a 17.5% stock, in which an income of Rs. 660 is derived by investing Rs. 16500, brokerage being 3/4 %, is:

OPtion

1) 456.75
2) 446.25
3) 437.50
4) 456.25
5) 446.50
6) 437.25
7) 456.50
8) 436.75
9) 446.75
10) None of these

Solution

For an income of Rs. 660, investment = Rs. 16500

For an income of Rs. 17.5, investment = Rs. (16500/660) * 17.5 = 437.5
For a Rs. 100 stock, investment = Rs. 437.5

Market value of Rs. 100 stock = Rs. 437.5 - 0.75 = Rs. 436.75

Correct Option: 8 Best Solution (4)

04 Oct 2017 Mixture

A merchant has 420 kg of sugar, part of which he sells at 11% loss and the rest at 9% profit. He gains 7% on the whole. What is the difference between the quantities of sugar sold at 9% profit and that sold at 11% loss?

OPtion

1) 334 kg
2) 335 kg
3) 338 kg
4) 336 kg
5) 378 kg
6) 42 kg
7) 48 kg
8) 52 kg
9) 40 kg
10)None of these

Solution

(Quantity of Cheaper)/(Quantity of Dearer) = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper)

(Quantity of Cheaper)/(Quantity of Dearer) = (109 - 107)/(107-89) = 2/18 = 1/9

Total Quantity = 420 KG

The quantity sold at 9% profit is = (9/10) * 420 = 378 Kgs
The quantity sold at 11% loss is = (1/10) * 420 = 42 Kgs
Diff between quantities = 378-42 = 336 KGs

Option 4)

Correct Option: 4 Best Solution (5)

03 Oct 2017 Profit and Loss

A vendor bought 910 chocolates for 7280 rupees. How many chocolates in 7280 rupees must he sell to gain 30%?

OPtion

1) 780
2) 800
3) 740
4) 750
5) 680
6) 700
7) 690
8) 720
9) 710
10)None of these

Solution

CP of 1 Chocolate = 3120/390 = Rs. 8
SP of 1 Chocolate for 30% profit = 8*1.3 = Rs. 10.4
So in 7280 Rupess how many chocolates should be sold = 7280/10.4 = 700

Option 6)

Correct Option: 6 Best Solution (11)

02 Oct 2017 Gandhi Jayanti!

If SARDAR = 1315 and NETAJI = 2845
then MAHATAMA =?

OPtion

1) 289
2) 329
3) 489
4) 653
5) 786
6) 917
7) 1947
8) 3124
9) 2351
10) None of these

Solution

A=1, B=2, C=3... Z=26
Code is formed by :
(Multiplication of odd numbered alphabets) + (Multiplication of even numbered alphabets)
SARDAR = 19-1-18-4-1-18 => => (19*1*1) + (18*18*4) = 19+1296 = 1315
NETAJI = 14-5-20-1-10-9 => (5*1*9)+(14*20*10) = 45+2800 = 2845
MAHATAMA = 13-1-8-1-20-1-13-1 => (13*1*1*13) + (8*20) = 169+160 = 329

Correct Option: 2 Best Solution (0)

29 Sep 2017 Age

"A father said to his son, ""I was as old as you are at the present at the time of your birth"". If the father's age is
68 years now, what was the son's age twenty three years back?"

OPtion

1) 10
2) 11
3) 9
4) 12
5) 13
6) 6
7) 0
8) 4
9) 7
10) None of these

Solution

Let the sons current age be x
So fathers age x years back when son was born => 68-x = x
Solving we get x = 34
twenty three Years back son's age = 34-23 = 11 years

Correct Option: 2 Best Solution (0)

28 Sep 2017 CI & SI

The difference between simple interest and the compound interest on a certain amount of money for 3 years at 7.5% per annum is Rs. 138.375. The sum is:

OPtion

1) Rs.7500
2) Rs.7550
3) Rs.7600
4) Rs.8500
5) Rs.8250
6) Rs.8000
7) Rs.9000
8) Rs.7000
9) Rs.7800
10)None of these

Solution

Let the sum be Rs.x. then S.I.=(x*7.5*3 / 100) = 22.5x/100
C.I = [x(1+7.5/100)^3 -x] = [x(1075/1000)^3 -x] = [x(43/40)^3 -x] =
CI-SI=138.375
=> 0.242297x- 0.225x = 138.375
=> 0.017297x = 138.375
=> x = 8000

Option 6)

Correct Option: 6 Best Solution (5)