M4maths Previous Puzzles

29 Jul 2019 Profit and Loss

A wholesaler allows a discount of 25 % on the list price to the retailer. The retailer sells at 5% below the list price. If the customer pays Rs.38 for an article what profit is made by the retailer on it?

OPtion

1) 10
2) 12
3) 18
4) 6
5) 3
6) 4
7) 8
8) 11
9) 13
10) None of these

Solution

If wholesaler's list price=100%, Retailer's CP=75% & SP=95%
If SP of 95% of the retailer costs Rs.38 to customer,so its CP of 75% will cost 75*38/95= 30
Profit is made by the retailer= 38 - 30 = 8

Correct Option: 7 Best Solution (5)

26 Jul 2019 LCM and HCF

The L.C.M of two numbers is 19500 and their H.C.F is 5. If one number is 260 the other is

OPtion

1) 315
2) 325
3) 375
4) 155
5) 255
6) 225
7) 275
8) 285
9) 305
10) None of these

Solution

hcf * lcm = product of two numbers
19500 * 5 = 260 * y
y = 375

Correct Option: 3 Best Solution (0)

25 Jul 2019 Percentage

If 30% of a = b, then b% of 30 is the same as:

OPtion

1) 3% of b%
2) 9% of b%
3) 0.9% of b%
4) 0.3% of b%
5) 27% of b%
6) 9% of a%
7) 18% of b%
8) 3% of a%
9) 13% of b%
10) None of these

Solution

30% of a = b
⇒ b = 3a/10

b% of 30 = (3a/10)30/100 = 9a/100 = 9% of a

Correct Option: 6 Best Solution (3)

24 Jul 2019 Distance Traveled

Pappu and Gappu are 180 km apart they start to move towards each other simultaneously, Pappu at speed 20 km/hr and Gappu at 10 km/hr if every hour they double their speed what is distance that Pappu will travel until he meets Gappu

OPtion

1) 64
2) 60
3) 75
4) 80
5) 100
6) 110
7) 130
8) 120
9) 140
10) None of these

Solution

In 2 hours Pappu covers (20+40) = 60 km
Gappu covers( 10 + 20) = 30 km,
Total covered = 90

In the next hour they have to cover (180 - 90) kms with the speeds 80km/hr and 40 km/hr respectively.

Let them take another t hrs to meet
so sum of the distance to be covered by both is 90 km
(80*t) + (40*t) = 90km
=> t= (3/4) hrs
we need to find out the distance covered by Pappu
which equals to = 60 + (80*(3/4)) = 120 km

Correct Option: 8 Best Solution (0)

23 Jul 2019 Simple Interest

A sum of Rs. 12,500 amounts to Rs. 25,000 in 10 years at the rate of simple interest. What is the rate of interest?

OPtion

1) 8
2) 12
3) 11
4) 6
5) 10
6) 18
7) 20
8) 9
9) 7
10) None of these

Solution

SI = 25000 - 12500 = 12500

SI = PRT/100

So R = 12500*100/(12500*10) = 10%

Correct Option: 5 Best Solution (0)

22 Jul 2019 Fraction

If a/b = 51/54 , c/d = 440/493, b/c = 29/32, e/f = 493/608 and d/e = 38/55 then what is the value of (abc/def)*17 ?

OPtion

1) 1005/188
2) 522/144
3) 261/72
4) 131/36
5) 1045/188
6) 104/29
7) 101/27
8) 145/28
9) 1045/288
10) None of these

Solution

a/d = (a/b)*(b/c)*(c/d) = 55/72
b/e = (b/c)*(c/d)*(d/e) = 19/34
c/f = (c/d)*(d/e)*(e/f) = 1/2

So 17*abc/def = 17*(a/d)*(b/e)*(c/f) = 17*(55/72) * (19/34) * (1/2) = 55*19*1/288 = 1045/288

Option 9)

Correct Option: 9 Best Solution (2)

19 Jul 2019 Simple Interest

Vijay took a loan of Rs. 10976 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest?

OPtion

1) 4%
2) 3.5%
3) 2.5%
4) 6.25%
5) 16%
6) 1.5%
7) 8%
8) 1.75%
9) 1.16%
10) None of these

Solution

SI = PRT/100

R = T = x

So 686 = 10976*x^2/100

=> x^2 = 6.25
=> x = 2.5

Correct Option: 3 Best Solution (4)

18 Jul 2019 Average

A batsman makes a score of 93 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?

OPtion

1) 41
2) 45
3) 44
4) 39
5) 42
6) 48
7) 43
8) 46
9) 47
10) None of these

Solution

Let the average after 17 innings be x
Total runs scored in 17 innings = 17x


Average after 16 innings = (x-3)
Total runs scored in 16 innings = 16(x-3)

Total runs scored in 16 innings + 93 = Total runs scored in 17 innings
=> 16(x-3) + 93 = 17x
=> 16x - 48 + 93 = 17x
=> x = 45

Correct Option: 2 Best Solution (0)

17 Jul 2019 Calendar

How many days are there in 7x weeks, x days and 168 x hours?

OPtion

1) 8x
2) 7x
3) 14x
4) 57x
5) 16x
6) 13x
7) 49x
8) 50x
9) 15x
10) None of these

Solution

7x weeks x days = 7x*7 + x + 168x/24 = 49x + x + 7x = 57 x days

Correct Option: 4 Best Solution (0)

16 Jul 2019 Probability

Find the probability of getting a non numbered red suit card when a card is drawn from the pack of 52 cards?

OPtion

1) 1/26
2) 1/13
3) 1/52
4) 3/26
5) 2/13
6) 3/39
7) 3/52
8) 5/26
9) 5/13
10) None of these

Solution

Total Cards = 52. Numbered Cards = (2, 3, 4, 5, 6, 7, 8, 9, 10)
9 from each suit 4 × 9 = 36

So count of Non Numbered cards = 52 - 36 = 16
Count of Red Suit non numbered cards = 16/2 = 8

P (E) = 8/52 = 2/13

Correct Option: 5 Best Solution (14)