M4maths Previous Puzzles

21 Jul 2021 Rupees

If 336 rupee is the charge of a dish package in the month of June then its charge for month of October is?

OPtion

(1) 342
(2) 337
(3) 348.30
(4) 347.20
(5) 330
(6) 338.50
(7) 343
(8) 342.60
(9) 350
(10) None of the above

Solution

30 days charge for June = Rs 336

One day charge = 336/30 = 11.2

31 days charge for July = 336+11.2 = 347.2

Correct Option: 4 Best Solution (3)

20 Jul 2021 Ratio

6 boys and 8 men get a total wage of Rs 8000 in 4 days. 8 boys and 6 men get a total of Rs 6000 in 3 days.
The efficiency ratio of boy and a man respectively?

OPtion

1) 2:3
2) 1:2
3) 1:1
4) 2:5
5) 3:4
6) 2:1
7) 3:2
8) 4:3
9) 5:4
10) None of the above

Solution

3 boys and 4 men get a total wage of Rs 1000 in 1 day.
4 boys and 3 men get a total of Rs 1000 in 1 day.

So efficiency of 3 boys and 4 men = 4 boys and 3 men

hence Efficiency of 1 man = Efficiency of 1 boy

Ratio of efficiency = 1:1

Correct Option: 3 Best Solution (3)

19 Jul 2021 Percentage

60% of 90 + 90% of 60 = 3% of x^2
Find the value of x

OPtion

1) 50
2) 60
3) 61
4) 69
5) 70
6) 55
7) 65
8) 29
9) 80
10) None of the above

Solution

60% of 90 + 90% of 60 = 3% of x^2
6*9+9*6=3*x*x/100
10800=3*x*x
x*x=3600
therefore x=60

Correct Option: 2 Best Solution (0)

16 Jul 2021 sequence

Next number of the sequence
5,6,9,18,13,54,17,162,21,....will be

OPtion

1) 25
2) 38
3) 92
4) 178
5) 324
6) 486
7) 528
8) 978
9) 1097
10) none of these

Solution

This sequence is a combination of two sequences
1) A.P.
2) G.P.
5,9,13,17,21
6,18,54,162,...

2ND POSITION=6
4TH POSITION=6*3=18
6TH POSITION=18*3=54
8TH POSITION=54*3=162
10TH POSITION=162*3=486
SO ANSWER SHOULD BE 486.....

Correct Option: 6 Best Solution (3)

15 Jul 2021 Sum

Find the sum of all possible product taken 2 digit at a time by using 2,3,4,5 will be?

OPtion

1) 65
2) 71
3) 75
4) 60
5) 61
6) 50
7) 28
8) 81
9) 82
10) none of these

Solution

The possible products are:
2*3 = 6
2*4 = 8
2*5 = 10
3*4 = 12
3*5 = 15
4*5 = 20
sum is 71

Correct Option: 2 Best Solution (3)

14 Jul 2021 Unmatched Number

Select the unmatched number from below given choices.

OPtion

1) 133
2) 171
3) -57
4) -114
5) 38
6) -51
7) -171
8) -76
9) 95
10) Nothing unmatched

Solution

every no.given is divisible by its sum except -51.
133=1+3+3=7;133/7=19
171=1+7+1=9;171/9=19
-57=5+7=12=1+2=3;-57/3=19
-114=1+1+4=6;-114/6=19
38=3+8=11=1+1=2;38/2=19
-76=7+6=13=1+3=4;-76/4=19
95=9+5=14=1+4=5;95/5=19

whereas -51=5+1=6;& -51 is not divisible by 6.
so, the unmatched number will be -51.

Correct Option: 6 Best Solution (0)

13 Jul 2021 sequence

1, 4/5, 2/3, 4/7, 1/2, 4/9 ..........
next number of the sequence will be

OPtion

1) 3/5
2) 4/5
3) 1/3
4) 4/11
5) 3/8
6) 0.1
7) 0.2
8) 0.3
9) 0.4
10) none of these

Solution

1, 4/5, 2/3, 4/7, 1/2, 4/9
this sequence can also be written as
4/4, 4/5, 4/6, 4/7, 4/8, 4/9, 4/10
so next number = 4/10 = 0.4

Correct Option: 9 Best Solution (3)

12 Jul 2021 Radius

19 SEP 2011 sphere Water from 1000 spherical vessels of radius 10 cm. is poured to a vessel of bigger radius. If bigger vessel is completely filled by the water of smaller spheres, then what will be the radius of bigger.

OPtion

1) 10000 cm.
2) 20 cm.
3) 50 cm.
4) 1000 cm.
5) 100 cm.
6) 70 cm.
7) 60 cm.
8) 80 cm.
9) 120 cm.
10) none of these

Solution

Volume of a sphere = (4/3)*(pi*R^3)
Volume of 1000 smaller sphere = Volume of Bigger sphere
=> 1000*(4/3)*pi*r^3 = 1000*(4/3)*pi*R^3
putting r=10cm and solving we get
=> 1000*10^3 = R^3
R=100cm

Correct Option: 5 Best Solution (4)

09 Jul 2021 Age

Ram says to Shyam that his age is one and half times that of Shyam's age yet it was twice the age of Shyam 10 years before. Calculate the sum of their ages.

OPtion

1) 10
2) 30
3) 45
4) 50
5) 55
6) 65
7) 70
8) 80
9) 90
10) none of these

Solution

According to the given conditions
R = 3S/2
R-10 = 2(S-10)
on solving we get R = 30 and S = 20
so sum = 50

Correct Option: 4 Best Solution (2)

08 Jul 2021 Journey

A car start with a velocity 20Km/Hour and after every hour its speed increases by 10Km/Hour. After 8 hour it starts decreasing the speed 10Km/Hour after every hour and finally it stops in the destination. Total length of the journey is?

OPtion

1) 700Km
2) 800Km
3) 850Km
4) 900Km
5) 950Km
6) 1000Km
7) 600Km
8) 1100Km
9) 1200Km
10) none of these

Solution

20+30+40+50+60+70+80+90+80+70+60+50+40+30+20+10 = 800Km

Correct Option: 2 Best Solution (3)