M4maths Previous Puzzles

04 Aug 2020 Series

AAA, XAB, VAC, TAD, ?

OPtion

1) SAE
2) QAE
3) SAF
4) QAF
5) RAF
6) PAF
7) RAE
8) QAF
9) PAE
10) None of these

Solution

There are three series:
the first letter is formed by series that is formed by skipping one alphabet in backward direction
Second letter is constant
Third position is a simple series of A, B, C, D, E
RAE

Correct Option: 7 Best Solution (0)

03 Aug 2020 Simple Interest

Dhanloot bank is running an offer for its customer. On the date 03-08-2020, any amount which is fixed deposited for 3 years would earn a interest rate of 8%.
What would be the simple interest earned by a customer who books fixed deposit on 03-08-2020 on an amount of Rs. 2020 for a period of 3 years?

OPtion

1) 484.8
2) 2504.8
3) 2514.8
4) 2524.8
5) 2534.8
6) 2544.8
7) 2554.8
8) 404.8
9) 488.8
10) None of these

Solution

SI = PRT/100 = 2020*3*8/100 = 484.8

Correct Option: 1 Best Solution (3)

31 Jul 2020 Arithmetic

A page is torn from a book. The sum of the remaining digits is 138. What are the page numbers on page torn from this book?

OPtion

1) 9, 10
2) 8, 9
3) 10, 11
4) 11, 12
5) 13, 14
6) 12, 13
7) 7, 8
8) 14, 15
9) 15, 16
10) None of these

Solution

Let the total pages are 'n'. We have
1 + 2 + 3 + .........+n = 138
⇒ n(n+1) = 276
n (n+1) = 276
The square nearest to 276 is 289.This is the square of 17. Hence, we will take n= 17.
Therefore, sum of the pages= n(n+1)/2 = 17*18/2=153
Missing number = 153-138 =15.
Now, we have to think of 2 consecutive numbers whose sum is 15.
x+x+1=15 ⇒ ×= 7, 8

Correct Option: 7 Best Solution (5)

30 Jul 2020 Race

Sushant runs 4 times as fast as Sulleman. If Sushant gives Sulleman a start of 60 m, how far must the goal on the race course be so that Sushant and Sulleman reach it at the same time?

OPtion

1) 60
2) 50
3) 75
4) 86
5) 80
6) 90
7) 65
8) 76
9) 95
10) None of these

Solution

Ratio of the speeds of Sushant and Sulleman = 4:1.
In a race of 4 m, Sushant gains 3 m over Sulleman.
60 meters will be gained by Sushant in race of (4/3 × 60 = 80 m).
Thus, Winning post must be at a distance of 80 m from the starting point.

Correct Option: 5 Best Solution (1)

29 Jul 2020 True Discount

The true discount on Rs. 1452 due 4 months hence is Rs. 132. The rate percent is?

OPtion

1) 12
2) 19
3) 13
4) 15
5) 18
6) 30
7) 10
8) 21
9) 24
10) None of these

Solution

Present Worth = 1452-132 =Rs. 1320

Rate = [100 x 132] / [1320 x (1/3)] =30%

Correct Option: 6 Best Solution (0)

28 Jul 2020 Series

131, 136, 146, 157, 170, ?

OPtion

1) 187
2) 179
3) 178
4) 185
5) 188
6) 190
7) 191
8) 197
9) 193
10) None of these

Solution

Next Term = Previous term + Sum of digits of previous term

131 = 131+ (1+3+1) = 136
136 = 136 + 10 = 146
146 = 146 + 11 = 157
157= 157 + 13 = 170
170 = 170+ (1+7+0) = 178

Correct Option: 3 Best Solution (0)

27 Jul 2020 Profit & Loss

If an item cost Rs.150 after 10% discount. Then what is the actual price or marked price for the item?

OPtion

1) 160.00
2) 167.67
3) 156.67
4) 166.00
5) 166.67
6) 176.67
7) 163.33
8) 165.67
9) 159.67
10) None of these

Solution

150 * 100/90 = 166.67

Correct Option: 5 Best Solution (2)

24 Jul 2020 Race

In a 80 m race, Amar can give a start of 5 m to Akbar and a start of 20 m to Anthony. In the same race, how much start can Akbar give to Anthony?

OPtion

1) 10
2) 15
3) 12
4) 16
5) 20
6) 8
7) 9
8) 11
9) 14
10) None of these

Solution

In the same time, Amar covers 80 m, Akbar covers (80 – 5) = 75 m, and Anthony covers (80 – 20) = 60 m.
If the race is between Akbar and Anthony only, applying unitary method, when Akbar runs 75 m, Anthony runs 60 m.
Hence, when Akbar runs 80 m, Anthony runs (60/75 × 80 = 64)

This means Anthony gives Akbar a 16 m start.

Correct Option: 4 Best Solution (0)

23 Jul 2020 Mensuration

A red color thread is 37 cm long. It is cut into 3 pieces. The longest piece is 3 times as long as the middle-sized piece & the shortest piece is 19 cm shorter than the longest piece. Find the length of the shortest piece
(in cm).

OPtion

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

Solution

Let the middle be x CM

Longest piece = 3x cm
Smallest piece = 3x - 19

x+3x+3x-19 = 37
7x = 56
x= 8
shortest piece = 3*8-19 = 5 cm

Correct Option: 6 Best Solution (5)

22 Jul 2020 Percentage

The price of a luxury car is decreased from Rupees ninety lakhs to Rupees seventy five lakhs. Find the percentage of decrease.

OPtion

1) 14.29
2) 16.67
3) 25.00
4) 20.00
5) 12.50
6) 10.00
7) 16.00
8) 24.00
9) 19.00
10) None of these

Solution

90000 - 75000 = 15000
% = 15000*100/90000 = 16.67%

Correct Option: 2 Best Solution (3)