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## Total Practice Qs: 70+

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1 / 70

**Choose the correct option.**

Find 55*55*55+45*45*45/55*55-55*45+45*45

A75

B100

C93

D65

**Answer:**** Option B **

**Explanation:**

55^3+45^3/55^2+45^2-55*45

a^3+b^3/a^2+B^2-a*b=a+b

s0 55+45=100

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2 / 70

**Choose the correct option.**

There is a trekking team which takes a halt after 10 hours and the leadership changes after 5 hours. leadership changes in alphabetical order. Kamala is leading now with mary, malti, and sita. Who will lead after two rests.

AMary

BMalti

CSita

DKamala

**Answer:**** Option D **

**Explanation:**

After two rests means after 20 hours.

Till then 4 chnages must have taken place and the same person will be the leader again

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3 / 70

**Choose the correct option.**

What is the highest power of 12 that divides 54!?

A34

B12

C25

D28

ENone of these

**Answer:**** Option C **

**Explanation:**

highest power of 12 that divides 54! is 25.

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4 / 70

**Choose the correct option.**

A number is increased by 20% and then it is decreased by 10%. Find the net increase or decrease in %

A8% increase

B8% decrease

C10% increase

D10% decrease

**Answer:**** Option A **

**Explanation:**

x=20% y=-10%

formula x+y+xy/100

20-10-200/100= 8% increase as it is a +ve value

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5 / 70

**Choose the correct option.**

There were 105 handshakes. How many persons were there in party.

A10

B12

C13

D15

**Answer:**** Option D **

**Explanation:**

Total 15 persons in the party.

n(n-1)/2 = 105

n^2 - n/2 = 105

n^2 - n = 210

By solving for n, we put n=15.

So, total persons = 15

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6 / 70

**Choose the correct option.**

There is six letter word VGANDA. How many ways you can arrange the letters in the word in such a way that both the A's are together.

A5!x2

B5!+2

C5!

D6!

**Answer:**** Option C **

**Explanation:**

A A _ _ _ _. The arrangement can be seen as arranging 5 letters in 5! ways.

The arrangement of A makes no difference and hence is not counted as a new word

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7 / 70

**Choose the correct option.**

Complete the series 12 8 14 7 16 _

A10

B6

C9

D15

**Answer:**** Option B **

**Explanation:**

6 is the answer.(12 8 14 7 16 6)

It have two series.

1st series = 12 14 16

2nd series = 8 7 _

In that, 1st series increasing by 2 and 2nd series decreasing by 1.

Final series = 12 8 14 7 16 6

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8 / 70

**Choose the correct option.**

If a lies between 2 and 3, both included, and b lies between 4 and 6, both included, then what is the ratio of minimum and maximum limits of a2-b2?

A54

B65/3

C32/7

D45/4

**Answer:**** Option C **

**Explanation:**

We have to find minimum and maximum limits of a2-b2,

.:.a2-b2= min(a)^2-max(b)^2= 2^2-6^2 = 4-36 = -32.

.:.a2-b2 = max(b)^2- min (a)^2 = 3^2 - 4^2 = 9-16 = -7

Ratio = -32/-7 = 32/7

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9 / 70

**Choose the correct option.**

After giving a discount of 20% on the marked price of a book, he purchased a pen worth of Rs. 80. What is the original price of the book?

A200

B300

C400

D500

ENone of these

**Answer:**** Option C **

**Explanation:**

20%=80rs then 100%=400rs hence 400 is the price of the book

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10 / 70

**Choose the correct option.**

X is an integer. Is X divisible by 5?

A) 2X is divisible by 5.

B) 10X is divisible by 5.

Aonly statement A is sufficient , B is not

Bonly statement B

Cboth are necessary

Dboth are not sufficient.

**Answer:**** Option A **

**Explanation:**

Here is no explanation for this answer

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