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# Practice Questions & Answers :: Cocubes

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## Total Practice Qs: 137+

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A, B and C enter into a partnership and their shares are in the ratio 1/2:1/3:1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

ARs .129

BRs. 144

CRs. 156

DRs. 168

| | Important Formulas | Topic: | Asked In HCL TechnologiesBroadcom LtdSSC CGL Tier I |

Explanation:

Ratio of investment = 1/2 : 1/3 : 1/4,
taking lcm of (2,3,4) and divide by this ratio's we get 6 : 4 : 3,
we have to assume there initial investment is 6x, 4x and 3x
now we can write A : B : C = (6x * 2 + 3x*10) : (4x *12) : (3x*12) after doing calculation we got
= 42:48:36 more simplify it
= 7:8:6
now we need to calc B'share = (8/21) * 378 = 144

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A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. Find the length of the train.

A75 meters

B60 meters

C80 meters

D90 meters

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

Let the length of the train be x meter and the speed of the cyclist is y m/s
Now when the train and the cyclist are in the same direction, the relative speed is :(35/3-y)m/s
[converting 42km/h to m/s-35/3m/s]
Now distance/relative speed =9 seconds
Substituting the values, we get x+9y.....................(1)
Similarly calculate the relative speed when they are in the opposite direction
The relative speed is (35/3+y)
Now distance/relative speed is equivalent to 5 seconds
Substituting the values, we get the equation
3x-15y=175.................................(2)
Solving (1) and (2), we get x=75 meters

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If an article with marked price of rs.400 is sold at successive discount of 10%, 25% and 15%, what is the price the customer has to pay?

A360

B300

C230

D270

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

Discount=0.9*0.75*0.85=0.57
S0, 0.57*400=230

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Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.

A8, 12, 5, 20

B6,10,15,11

C2,8,14,9

DNone of these

| | Important Formulas | Topic: | Asked In HCL TechnologiesBroadcom LtdSSC CGL Tier I |

Explanation:

If x is common result, then numbers are 2x, x/2, x+2, x-2
and
2x+ x/2+ x+2+x-2 = 45
4x+x/2 =45
9x =90
x=10
hence numbers are
8,12,5,20

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What is the sum of all 5 digit nos formed using 1,3,5,7,9 without repetetion?

A5151000

B6161600

C6666600

D5555500

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

Without any Repetetion of the numbers Sum would be
(n-1)!(sum of the numbers)(1 as many times as digits of the number)

Here
(5-1)!(1+3+5+7+9)(11111)
24*25*11111 = 6666600

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What is the number of odd days in a leap year ?

A1

B2

C3

D4

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

In a given period the number of days more than complete week are called odd days
366 divided by 7
remainder is 2
so the number of odd days in a leap year is 2

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5% of (25% of Rs1600) is?

ARs. 5

BRs 17.50

CRs 20

DRs 25

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

25% of 1600=(25*1600)/100=400
5% of 400=(5*400)/100=20

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If angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10, then smallest angle is?

A25 degree

B30 degree

C20 degree

D60 degree

ENone of above

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |

Explanation:

angle of pentagon = 540degree
now
x+3x+6x+7x+10x= 540
27x = 540
x=20
now smallest angle will be of 20 degree

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Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages?

A37

B38

C43

D51

| | Important Formulas | Topic: | Asked In HCL TechnologiesBroadcom LtdSSC CGL Tier I |

Explanation:

All other options have thier unit place digit odd while we require even digit
because before x years she laid a baby. That time she is 26years old
So, now sum of thier ages is 26 + 2x. The total should be even number.

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A man starts from B to K, another starts from K to B, at the same time. After passing each other they complete their journeys in 3.33 and 4.80 hours respectively. Find the speed of the second man if the speed of the first is 12 km/ hr

A12 kms/hr

B10 kms/hr

C14 kms/hr

| | Important Formulas | Topic: | Asked In HCL TechnologiesSSC CGL Tier I |