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Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

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Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

Q:

If $3^{x - y} = 27$ , $3^{x + y} = 243$ then find the x value

A) 2	B) 8
C) 4	D) 1

Answer & Explanation Answer: C) 4

Explanation:

Given that $3^{x - y} = 27$ , $3^{x + y} = 243$

$\Rightarrow 3^{x - y} = 3^{3}, 3^{x + y} = 3^{5}$

=> x-y=3, x+y=5

=> x = 4

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay :

A) Rs. 100	B) Rs. 105
C) Rs. 115	D) Rs. 110

Answer & Explanation Answer: C) Rs. 115

Explanation:

Amount to be paid = $R s . [100 + \frac{200 \times 5 \times 1}{100} + \frac{100 \times 5 \times 1}{100}]$ = Rs. 115.

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Filed Under: Simple Interest
Exam Prep: CAT
Job Role: Bank Clerk

Q:

${(31)}^{31} \times {(31)}^{- 27} = ?$

A) 961 x 861	B) 961 x 961
C) 961 x 2	D) 29791

Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that $a^{m} \times a^{n} = a^{m + n}$

$∴ {(31)}^{31 - 27}$ = $31^{4}$ = 961 x 961.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

Q:

A,B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ . After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000	B) Rs. 6000
C) Rs. 9000	D) Rs. 3000

Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$∴ A : B : C = (105 x \times 4 + \frac{150}{100} \times 105 x \times 8) : (40 x \times 12) : (36 x \times 12)$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $(21600 \times \frac{10}{54})$ = Rs. 4000.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

Q:

Who will inaugurate the 6th Asia Pacific Ministerial Conference?

Venkaiah Naidu
Sushma Swaraj
Narendra Modi
Menaka Gandhi

A) Narendra Modi	B) Menaka Gandhi
C) Sushma Swaraj	D) Venkaiah Naidu

Answer & Explanation Answer: D) Venkaiah Naidu

Explanation:

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Filed Under: General Awareness
Exam Prep: Bank Exams

Q:

Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

A) 40	B) 60
C) 100	D) 120

Answer & Explanation Answer: B) 60

Explanation:

Let the numbers be 3x, 4x, 5x.

Then, their L.C.M = 60x.

So, 60x=3600 or x=60.

Therefore, The numbers are (3 x 60), (4 x 60), (5 x 60).

Hence,required H.C.F=60

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Filed Under: HCF and LCM
Exam Prep: CAT
Job Role: Bank PO

Q:

The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?

A) Rs.855	B) Rs.955
C) Rs.906	D) Rs.896

Answer & Explanation Answer: C) Rs.906

Explanation:

Let C.P =Rs. x

Then as given, (753 - x ) = (x - 455)

=>2x = 1208 => x = 604

There fore S.P= 150% of 604 => Rs. $\frac{150}{100} \times 604$ = Rs.906

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

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