M4maths Previous Puzzles

08 Jul 2010 Bank interest rate

100000 rupees are deposited in BOB at a rate of 7 % interest per annum added half yearly. Total output will be?

OPtion

1) 107862.5
2) 107000
3) 108257.5
4) 107122.5
5) 108126.5
6) 107500
7) 108690
8) 108160.5
9) 109720.5
10) 109725

Solution

Half year interest = 7/2 = 3.5 %
After half year output = 100000 * 103.5 / 100
= 103500
After 1 year output = 103500 * 103.5 / 100
= 107122.5

Correct Option: 4 Best Solution (7)

07 Jul 2010 Net Profit?

A man bought following equities
1. TITANIND 40 2627.4
2. MAXOTEC 60 256.6
3. ICICI 100 476.8
And sold these equities according to the following

TITANIND 2629.8
MAXOTEC 260.4
ICICI 479.3
Net profit is?

OPtion

1) 724
2) 690
3) 710
4) 817
5) 442
6) 552
7) 688
8) 574
9) 468
10) 868

Solution

Profit 40(2629.8 – 2627.4) = 40*2.4 = 96
=60(260.4 – 256.6) = 60 * 2.5 = 228
=100(479.3-476.8)=100*2.5 = 250
= 574

Correct Option: 8 Best Solution (0)

06 Jul 2010 number of student in the school

In a school, no of student in every standard are 10 multiple of standard total students in the school from 1 to 12 standard are

OPtion

1) 890
2) 120
3) 478
4) 1450
5) 780
6) 990
7) 895
8) 1000
9) 1230
10) 2390

Solution

total students = 10 + 20 + …….+ 120 = 780
Formula used is S = (no of classes) *(first term + last term)/2

Correct Option: 5 Best Solution (0)

05 Jul 2010 Difference between numbers?

The sum of two positive numbers is 5 times their difference. If sum of their squares is 208, then the positive difference of
the numbers will be

OPtion

1) 9
2) 3
3) 2
4) 1
5) 6
6) 8
7) 4
8) 10
9) 12
10) 14

Solution

x+y = 5 (x-y) => x + y = 5x – 5y
=> 6y = 4x
=> x/y = 3/2
=> x = 3y/2 (i)
And x2 + y2 = 208 (ii)
On taking the value of x from eq. (i) in eq. (ii), we get
(3y/2)2 + y2 = 208
=> 2.25y2 + y2 = 208
=> y2 = 208/3.25 = 64
=> y = 8
x = 3y/2 = 12
Difference = 4

Correct Option: 7 Best Solution (16)

02 Jul 2010 Investment Ratio?

A man got 60 % profit over investment in a business whereas 50 % loss in second over investment. If total profit is 60000 rupee,
then the ratio of first and second investment is (Given that the investment in second business is 200000 rupee.)

OPtion

1) 9/8
2) 3/2
3) 5/3
4) 6/5
5) 4/3
6) 3/1
7) 2/1
8) 5/2
9) 8/3
10) 9/2

Solution

According to the given condition
0.6 x – 0.5 y = 60000
6 x – 5 y = 600000
On dividing by y
6 (x/y) – 5 = 600000/y
6 (x/y) – 5 = 600000/200000
6 (x/y) – 5 = 3
6 (x/y) = 8
x/y = 8/6 = 4/3

Correct Option: 5 Best Solution (0)

01 Jul 2010 Next Number?

Next number of the sequence 9, 19, 39, 79, will be?

OPtion

1) 199
2) 169
3) 149
4) 139
5) 119
6) 99
7) 79
8) 159
9) 89
10) 109

Solution

The differences between the numbers are 10, 20, 40 respectively therefore next difference will be 80

Correct Option: 8 Best Solution (0)

30 Jun 2010 seconds in a year?

Total seconds in a year are (Taking a year of 365 days)

OPtion

1) 2.8 * 10^7
2) 3.5 * 10^7
3) 3.2 * 10^7
4) 2.7 * 10^7
5) 3.3 * 10^7
6) 3.9 * 10^7
7) 4.2 * 10^7
8) 4.1 * 10^7
9) 3.8 * 10^7
10) 2.6 * 10^7

Solution

365 * 24 * 60 * 60 = 31536000

Correct Option: 3 Best Solution (10)

29 Jun 2010 property distribution

A man has four sons between whom he has to distribute his property of 1 million in the ratio 3:2:2:3.
If first son gives his 40 % share to second one, then what % property is of third son relative to second one.

OPtion

(1) 29.5
(2) 73
(3) 48.5
(4) 70.5
(5) 50
(6) 100
(7) 62.5
(8) 80
(9) 67.5
(10) 92.5

Solution

40 % of 3 = 1.2
After donation by first, share of second = 2 + 1.2 = 3.2
Hence ratio = 2 * 100 / 3.2 = 62.5

Correct Option: 7 Best Solution (4)

28 Jun 2010 volume?

the dimensions of a room are 30 feet, 18 feet, 12 feet. What will be the remaining volume of the room
after filling it completely with boxes of size 4*4*4.

OPtion

1) 1104
2) 1100
3) 64
4) 1200
5) 1108
6) 1000
7) 1208
9) 800
10) 0

Solution

1104

Correct Option: 1 Best Solution (9)

25 Jun 2010 find the numerator?

A fractional no. is such that its numerator is 2 less then denominator. If both numerator & denominator increase by 1
the fraction becomes 4/5. What will be the numerator of the no.

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) 10

Solution

Let the number is x/x+2
(x+1)5 = (X+3)4
5x+5 = 4X+12
x=7

Correct Option: 7 Best Solution (17)