Aptitude and Reasoning Questions

Q:

What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

A) Only a is sufficient B) Only b is sufficient
C) Both a & b are necessary D) None
 
Answer & Explanation Answer: A) Only a is sufficient

Explanation:

The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term

so only 1st statement is sufficient to answer the question

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Filed Under: Statement and Conclusions
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2 50956
Q:

A number is decreased by 10% and then increased by 10%.  The number so obtained is 10 less than the original number. What was the oiginal number ? 

A) 1000 B) 2000
C) 3000 D) 4000
 
Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

 

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x. 

 

x-(99/100)x=10

=> x =1000

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Filed Under: Percentage

141 50917
Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm B) 25 cm
C) 35 cm D) 50 cm
 
Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

 

Rise in water level = 20040×20=0.25m = 25cm

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64 50905
Q:

What is the square root of (√5 + 2)/(√5 – 2)?

 

A) √5 – √4   B) √5 + 2  
C) 5 + √2   D) 7
 
Answer & Explanation Answer: B) √5 + 2  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 50904
Q:

Solve the following

 

24 / (20 - 12 / 3 x 8) = ?

A) -2 B) -3
C) 6 D) 3
 
Answer & Explanation Answer: A) -2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 50739
Q:

The G.C.D of 1.08, 0.36 and 0.9 is

A) 0.03 B) 0.9
C) 0.18 D) 0.108
 
Answer & Explanation Answer: C) 0.18

Explanation:

Given numbers are 1.08 , 0.36 and 0.90

 H.C.F of 108, 36 and 90 is 18                  [  G.C.D is nothing but H.C.F]

 Therefore, H.C.F of given numbers = 0.18                 

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Filed Under: HCF and LCM

138 50718
Q:

Simplify : 528 ÷ 2835 ÷ 20112

 

A) 4/5 B) 5/4
C) 4/7 D) 7/4
 
Answer & Explanation Answer: B) 5/4

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 50693
Q:

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A) 3.6 B) 6
C) 18 D) Cannot be determined
 
Answer & Explanation Answer: B) 6

Explanation:

Explanation:

 

Let rate = R% and time = R years.

 

Then, 1200*R*R100=432

 

12R2=432

 

=>R2=36R=6

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Filed Under: Compound Interest

117 50674