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Q:

Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is

A) 1,00,000	B) 59,049
C) 3439	D) 6561

Answer & Explanation Answer: C) 3439

Explanation:

The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.

This can be done in $10^{5}$ ways, but '0' is there

So, the numbers starting with '0' are to be excluded is $9^{4}$ numbers.

Total 5 digit telephone numbers = $10^{5} - 9^{4}$ = 3439

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

Q:

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

A) 10 liters	B) 20 liters
C) 30 liters	D) 40 liters

Answer & Explanation Answer: A) 10 liters

Explanation:

Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters

Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)

Thus, (30 + P) = 25% of (150 + P)

Solving, we get P = 10 liters

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Filed Under: Alligation or Mixture

Q:

The following question is based on the given data for an examination.

A. Candidates appeared 10500

B. Passed in all the five subjects 5685

C. Passed in three subjects only 1498

D. Passed in two subjects only 1250

E. Passed in one subject only 835

F. Failed in English only 78

G. Failed in Maths only 275

H. Failed in Physics only 149

I. Failed in Chemistry only 147

J. Failed in Biology only 221

How many candidates passed in at least four subjects ?

A) 6555	B) 5685
C) 1705	D) 870

Answer & Explanation Answer: A) 6555

Explanation:

Candidates passed in atleast four subjects

= (Candidates passed in 4 subjects) + (Candidates Passed in all 5 subjects)

= (Candidates failed in only 1 subject ) + ( Candidates passed in all subjects)

= (78 + 275 + 149 + 147 + 221) + 5685 = 870 + 5685 = 6555

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Filed Under: Arithmetical Reasoning

Q:

A man has a certain number of small boxes to pack into parcles. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcle, none is left over. What is the number of boxes, he may have to pack?

A) 106	B) 301
C) 309	D) 400

Answer & Explanation Answer: B) 301

Explanation:

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7. Thus, the number must be of the form (L.C.M of 3, 4, 5, 6) x + 1 i.e., (60x + 1 ) and a multiple of 7. Clearly, for x = 5, the number is a multiple of 7. So the number is 301.

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Filed Under: Arithmetical Reasoning

Q:

Arrange the following in a logical order :

1. Shoulder 2. Wrist 3. Elbow 4. Palm 5. Finger

A) 2, 4, 5, 3, 1	B) 3, 1, 4, 2, 5
C) 3, 4, 5, 2, 1	D) 5, 4, 2, 3, 1

Answer & Explanation Answer: D) 5, 4, 2, 3, 1

Explanation:

Clearly, Here are the names of parts of a hand, Which may be arranged

(i) from top to bottom, i.e, Shoulder, Elbow, Wrist, Palm, Finger - Which is 1, 3, 2, 4, 5 (or)

(ii) from bottom to top, i.e, Finger, Palm, Wrist, Elbow, Shoulder - Which is 5, 4, 2, 3, 1

Out of these, the sequence 5, 4, 2, 3, 1 is given in the alternatives provided. Hence, the answer is (D).

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Filed Under: Logical Sequence of Words

Q:

Arrange the following in a logical order :

1. Euphoria 2. Happiness 3. Ambivalence 4. Ecstasy 5. Pleasure

A) 1, 4, 2, 5, 3	B) 2, 1, 3, 4, 5
C) 3, 2, 5, 1, 4	D) 4, 1, 3, 2, 5

Answer & Explanation Answer: C) 3, 2, 5, 1, 4

Explanation:

All the given words stand for 'Joy', but the intensity increases in the order - Ambivalence, Happiness, Pleasure, Euphoria, Ecstasy.

Thus the correct order is 3, 2, 5, 1, 4.

Hence the answer is (C)

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Filed Under: Logical Sequence of Words

Q:

Select the correct set of symbols which will fit in the given equation?

5 0 3 5 = 20

A) x, x, x	B) -, +, x
C) x, +, x	D) +, -, x

Answer & Explanation Answer: B) -, +, x

Explanation:

Clearly 5 - 0 + 3 X 5 = 20

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Filed Under: Mathematical Operations

Q:

If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?

A) 18	B) 28
C) 31	D) 103

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