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If the price of petrol increases by 25% and Kelvin intends to spend only an additional 15%on petrol, by how much % will he reduce the quantity of petrol purchased?


A12%

B8%

C10%

D6.67%

Answer: Option B

Explanation:

Let the current price of unit quantity of petrol be x. New price=1.25x.
Let reduced quantity be y.
y*1.25x = 1.15x,
y=115/125=23/25
Reduction = 1 - 23/25 = 2/25 = 8%

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SHSTTON
13
Solv. Corr.
21
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34
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A team won 80% of the games if played. If played 5 more games of which if won 3 and lost 2. Its loss percentage changed by 25%. How many games did it played overall?


A20

B16

C14

D25

Answer: Option A

Explanation:

Game played = x
Then Lost Game = x/5
Now they played 5 more games in which they lost 2
so, (x+5)*25/100 = x/5 + 2
=> x=15
Total game played = 15+5 = 20

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NA
SHSTTON
6
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0
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A gardener changed the size of his rectangle shaped garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden


AHas increased by 12%

BHas increased by 8%

CHas increased by 20%

DCannot be expressed in % terms without actual numbers.

Answer: Option A

Explanation:

If (l*b)=x is initial area, then
New area = 1.4*l *0.8*b= 1.12*l*b= 1.12 x
Increase in area= 0.12 x
Percentage increase in area = 100*0.12x/x= 12 %

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NA
SHSTTON
0
Solv. Corr.
6
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6
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Certain positive integers have these properties:
(I)The sum of the squares of their digits is 50
(II) Each digit is larger than the one to its left.

The product of the digits of the larger integer with both properties is


A7

B36

C25

D48

Answer: Option B

Explanation:

Integers that exhibit the given properties are 17,1236,345
the largest integer among those is 1236
so product of the digits of 1236 is 36.

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SHSTTON
3
Solv. Corr.
15
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18
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At the end of the 1894 Suresh was half as old as his grandmother. The sum of the years was born in 3644. How old Suresh was at the end of 1899?


A49

B48

C55

D53

Answer: Option D

Explanation:

Lets assume Suresh age in 1894 = x.
So, Grandmothers age = 2x.
Year of birth for Suresh = (1894 - x)
and grandmother = (1894-2x)
Adding 2*1894 - 3x = 3644
=> x=48
At the end of 1899, age = (48 + 1899-1894) = 53

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NA
SHSTTON
10
Solv. Corr.
13
Solv. In. Corr.
23
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Mr and Mrs smith had invited 9 of their friend and their spouses for party at wiki beachresort.the stand for group photograph if mr smith never stand next to mrs smith then how many way group arrange in row.


A20!

B19!+18!

C18*19!

D2*19!

Answer: Option C

Explanation:

Mr and Mrs smith never be together so out of 20 (with both them) 19 can b any place so total = 19!
20 because their invitees are with their spouses.
Also 1 of them can stand with other so 18 places
So total is 18*19!

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NA
SHSTTON
9
Solv. Corr.
10
Solv. In. Corr.
19
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Tim and Elan are 90 km from each other, they start to move each other simultaneously, Tim at speed 10 and Elan 5kmph, if every hour they double their speed what is the distance that Tim will pass until he meet Elan?


A45

B60

C20

D80

Answer: Option B

Explanation:

1st hour=tim 10kmph elan 5 the dist will be 90-15=75
2nd hr=tim->20kmph & elan->10 dist=75-30=45
3rd hr =tim->40 & elan->20..the totl dist for 3rd hr is 60.but we need only 45km to meet ..so we consider only 45mins instead of 3rd hr..
In 45mins =>tim ->30 & elan->15
totl dist travld by tim is 10+20+30=60

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NA
SHSTTON
7
Solv. Corr.
21
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A Grocer bought 24 kg coffee beans at price X per kg. After a while one third of stock got spoiled so he sold the rest for $200 per kg and made a total profit of twice the cost. What must be the price of X?


A33 1/3

B66 2/3

C44 4/9

D50 1/3

Answer: Option C

Explanation:

Cost price= 24*X,
spoiled= 24*1/3=8 kg, now total amount= (24-8)=16 kg
selling price= 16*200 =3200
profit= (3200-24*X)
profit=2* cost , (3200-24*X)= 2*24*X, x=400/9 =44 4/9

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NA
SHSTTON
2
Solv. Corr.
3
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A class of 100 students. 24 of them are girls and 32 are not. Which base am I using?


A0

B6

C2

D3

Answer: Option B

Explanation:

Let the base be X.
Therefore (X*X + X*0 + 0) = (2*X +4) + (3*X + 2),
=> X * X = 5 * X + 6,
=> X * X - 5 * X -6 = 0,
=> (X- 6) (X+1) = 0
Therefore base is 6.

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NA
SHSTTON
24
Solv. Corr.
24
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On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?


A10000

B10200

C9500

D9000

Answer: Option A

Explanation:

One-legged = 5% of 10000 = 500
Remaining = (10000-500) = 9500
Barefooted = 9500/2 = 4750
Remaining people = 9500-4750 = 4750
Hence required number of shoes = 4750*2+500*1 = 10000

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