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Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000	B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000	D) A = 40000 B = 48000 C = 30000

Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
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A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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Filed Under: Partnership
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Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit	B) 480 lit
C) 320 lit	D) 420 lit

Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
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Q:

Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ?

A) 20% p.a	B) 15% p.a
C) 18% p.a	D) 24% p.a

Answer & Explanation Answer: A) 20% p.a

Explanation:

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a

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Filed Under: Compound Interest
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Q:

ISRO has signed a memorandum of understanding with which of the following company to help develop low-cost lithium-ion batteries for electric vehicles ?

A) SAIL	B) DRDO
C) BHEL	D) GAIL

Answer & Explanation Answer: C) BHEL

Explanation:

The Indian Space Research Organization (ISRO) has signed a memorandum of understanding with Bharat Heavy Electricals Limited (BHEL) to help develop low-cost lithium-ion batteries for electric vehicles.

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Filed Under: General Awareness
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Q:

The International Day for Monuments and Sites is observed globally on __________.

A) 19 April	B) 18 April
C) 21 April	D) 16 April

Answer & Explanation Answer: B) 18 April

Explanation:

Every year on 18 April, ICOMOS (International Council on Monuments and Sites) celebrates the International Day for Monuments and Sites (also called as World Heritage day), whose establishment was approved by the 22nd UNESCO General Conference in 1983.

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Filed Under: Important Days and Years
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Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1	B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀	D) ²²C₁₀ - 1

Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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Filed Under: Permutations and Combinations
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Q:

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

A) 83	B) 89
C) 85	D) 79

Answer & Explanation Answer: C) 85

Explanation:

Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F of 551 and 1073 = 29;
First number = 551/29 = 19
Third number = 1073/29 = 37.
Required sum = 19 + 29 + 37 = 85.

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Filed Under: Problems on Numbers
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Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km	B) 3 7/5 km
C) 1 3/4 km	D) 4 3/8 km

Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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