M4maths Previous Puzzles

28 Apr 2020 Simple Interest

A sum fetched a total simple interest of Rs. 5535 at the rate of 9 p.c.p.a. in 30 years. What is the sum?

OPtion

1) 1290.74
2) 1390.74
3) 1490.74
4) 2050.00
5) 2020.00
6) 2040.00
7) 2030.00
8) 2060.00
9) 2090.00
10) None of these

Solution

SI = PRT/100
5535 * 100/(9*30) = P
P =2050

Correct Option: 4 Best Solution (0)

27 Apr 2020 Age

The sum of ages of 5 children born at the intervals of 3 years each is 65 years. What is the age of the youngest child?

OPtion

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

Solution

x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 65
=> 5x + 30 = 65
=> 5 x = 35
x = 7

Correct Option: 5 Best Solution (2)

24 Apr 2020 RANK of the word

Rank of the word CHINA in the dictionary of words formed by the letters of the word CHINA?

OPtion

1) 30
2) 31
3) 32
4) 33
5) 34
6) 43
7) 44
8) 27
9) 28
10) None of these

Solution

24 + 6 + 2 + 1 + 0 + 1 = 34

Correct Option: 5 Best Solution (3)

23 Apr 2020 Profit and Loss

A vendor orders 2000 pieces of a particular Chinese component with printed MRP of Rs.25 per piece. According to his estimates, even if 30% fail to pass the quality tests,then also he will make a profit of 25% while selling it at MRP.
However,as it turned out, 90% of the Chinese components were rejected as they were defective.
What is the loss to the vendor?

OPtion

1) 31000
2) 31500
3) 31750
4) 30000
5) 32500
6) 32750
7) 13000
8) 33500
9) 33750
10) None of these

Solution

Total number of component = 2000.
If 30% competent found to be defective, then,
No. of non-defective component = 2000 - 30 % of 2000 = 1400.

So,
Selling price of 1400 component = 1400 * 25 = 35,000.

This includes 25% profit of the vendor.

Let total price of the component = X.

SP = 35000

X + 25% of X = 35000

(100X +25X) /100 = 35000

125X = 3500000

X = Rs. 28,000.

If 90% components ie 1800 components are deffective. then

Total SP = 25 *200 = 5000.
Loss = 28000 - 5000 = Rs. 23,000.

Correct Option: 10 Best Solution (0)

22 Apr 2020 Least Number

What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 7 ?

OPtion

1) 260
2) 267
3) 247
4) 67
5) 97
6) 60
7) 120
8) 127
9) 137
10) None of these

Solution

LCM of 8, 12, 15 and 20 = 120

Required Number = 120 + 7 = 127

Correct Option: 8 Best Solution (4)

21 Apr 2020 Arithmetic

The sum of squares of three successive integers is 63077. Sum of these integers is?

OPtion

1) 425
2) 415
3) 445
4) 535
5) 545
6) 635
7) 435
8) 735
9) 505
10) None of these

Solution

(a-1)^2 + a^2 + (a+1)^2 = 63077
=> a^2 -2a + 1 + a^2 + a^2 + 2a + 1 = 63077
=> 3a^2 + 2 = 63077
=> a^2 = (20174-2)/3 = 21025
=> a = 145
So the 3 numbers are 144, 145 and 146 and their sum is 435

Correct Option: 7 Best Solution (4)

20 Apr 2020 Percentage

If 40% of an amount is 1200, what will be 60% of that amount?

OPtion

1) 1850
2) 1700
3) 1800
4) 1600
5) 1900
6) 1950
7) 1975
8) 2000
9) 2100
10) None of these

Solution

Let the amount be x.

As per question: 40% of x = 1200

(40/100)*x = 1200
x = 3000

60% of 3000 = (60/100)* 3000 = 1800

Correct Option: 3 Best Solution (6)

17 Apr 2020 Alphanumeric Series

Next term of following series:
Z2, X6, V12, T20, R30, P42, ?

OPtion

1) O54
2) M56
3) M54
4) 056
5) N54
6) M58
7) N56
8) M52
9) O52
10) None of these

Solution

The alphabet part of the series is formed by picking every alternate alphabet in reverse order starting from Z
So the next alternate alphabet is N

The number pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.
So, the next number is 7 x 8 = 56

Correct Option: 7 Best Solution (5)

16 Apr 2020 CODE DECODE

If
GHANA = 372,
CHILE = 444 and
NEPAL = 576
then
CHINA = ?

OPtion

1) 420
2) 415
3) 445
4) 425
5) 450
6) 410
7) 460
8) 470
9) 400
10) None of these

Solution

A=1, B=2, C=3....Z=26

Code is formed by (Sum of position value of each alphabet) x 12

So GHANA = (7+8+1+14+1) x 12 =
31x12 = 372

Similarly
CHILE = 37x12 = 444
NEPAL = 48x12 = 576
then CHINA = 35x12 = 420

Correct Option: 1 Best Solution (4)

15 Apr 2020 Series

2, 12, 36, 80, 150, ?

OPtion

1) 264
2) 298
3) 252
4) 268
5) 284
6) 228
7) 274
8) 288
9) 294
10) None of these

Solution

All numbers are (n^3 + n^2) where n is 1, 2, 3 and so on.
252

Correct Option: 3 Best Solution (0)