Aptitude and Reasoning Questions

Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000 B) Rs.2,24,000
C) Rs.1,26,000 D) Rs.3,42,000
 
Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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Filed Under: Percentage
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15 11583
Q:

If P(A)=4/9;then the odd against the event A is:

A) 4:9 B) 4:5
C) 5:4 D) 4:14
 
Answer & Explanation Answer: C) 5:4

Explanation:

Here,P(A)=4/9=p/(p+q)

P(odd against event A)=q/p=5/4

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Filed Under: Probability

11 11576
Q:

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?

A) 4/7 B) 2/3
C) 1/2 D) 5/6
 
Answer & Explanation Answer: B) 2/3

Explanation:

Total coins 30

In that,

1 rupee coins 20

50 paise coins 10

Probability of total 1 rupee coins =  20C11

Probability that 11 coins are picked = 30C11

Required probability of a coin now picked from the box is 1 rupee = 20C11/30C11 = 2/3.

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Filed Under: Probability
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17 11574
Q:

Determine the number of rectangles and hexagons in the following figure.

A) 30, 5 B) 32, 3
C) 28, 5 D) 30, 3
 
Answer & Explanation Answer: A) 30, 5

Explanation:

The figure may be labelled as shown

 

 

Rectangles :

 

The simplest rectangles are CVSR, VETS, RSWM and STKW i.e 4 in number.

 

The rectangles composed of two components each are CETR, VEKW, RTKM and CVWM i.e 4 in number.

 

The rectangles composed of three components each are ACRP, PRMO, EGHT and THIK i.e 4 in number.

 

The rectangles composed of four components each are CEKM, AVSP, PSWO,VGHS and SHIW i.e 5 in number.

 

The rectangles composed of five components each are AETP, PTKO, CGHR and RHIM i.e 4 in number.

 

The rectangles composed of six components each are ACMO and EGIK i.e 2 in number.

 

The rectangles composed of eight components each are AGHP, PHIO, AVWO and VGIW i.e 4 in number.

 

The rectangles composed of ten components each are AEKO and CGIM i.e 2 in number.

 

AGIO is the only rectangle having sixteen components

 

Total number of rectangles in the given figure = 4 + 4 + 4 + 5 + 4 + 2 + 4 + 2 + 1 = 30.

 

Hexagons :

 

The hexagons in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEUKNP and BFHJNP. So, there are 5 hexagons in the given figure.

 

 

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Filed Under: Analytical Reasoning
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50 11566
Q:

A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium. If his company declares 5% dividend at the end of the year, then how much does he get?

A) Rs.500 B) Rs.600
C) Rs.650 D) Rs.720
 
Answer & Explanation Answer: B) Rs.600

Explanation:

Number of shares = 14400120=120.

 

Face value = Rs.(100 x 120) = Rs.12000.

 

Annual income = Rs (5/100*12000) = Rs. 600

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Filed Under: Stocks and Shares

16 11523
Q:

16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

A) 16 days B) 18 days
C) 19 days D) 21 days
 
Answer & Explanation Answer: A) 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40

=> 2M = 3W

Then,
Convert all men into women

12M + 27W = 27 + 12 x 3/2W = 45W

Let number of days required be 'D'

=> 18 x 40 = 45 x D

=> D = 16 days.

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Filed Under: Time and Work
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12 11520
Q:

What percentage of simple interest per annum did Anand pay to Deepak?
I. Anand borrowed Rs. 8000 from Deepak for four years.
II. Anand returned Rs. 8800 to Deepak at the end of two years and settled the loan

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Let the rate be R% p.a.

I  gives, P = Rs. 8000 and T = 4 years.

II gives, S.I = Rs. (8800 - 8000) = Rs. 800.

R = [100 x S.I] / [p x t ]= (100 x 800)/(8000 x 4) = 2 ½ % p.a

Thus, I and II both are needed to get the answer.

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Filed Under: Simple Interest
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2 11520
Q:

If it is possible to make a meaningful word from the third, fifth, sixth, eighth and tenth letters of the word PAROCHIALISM using each letter only once, third letter of the word would be your answer. If more than one such word can be formed, your answer would be 'y' and if no such word can be formed, answer is 'G'.

A) Y B) A
C) G D) C
 
Answer & Explanation Answer: B) A

Explanation:

The specified letters are R, C, H, A and I. The only meaningful word  that can be made is CHAIR. The third letter of this word is A.

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Filed Under: Alphabet Test

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