Aptitude and Reasoning Questions

Q:

How many numbers amogst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?

A) 5 B) 6
C) 0 D) 9
 
Answer & Explanation Answer: C) 0

Explanation:

Any number divisible by 9 is also divisible by 3.

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Q:

If in the given word VITREOUS all the constants are first arranged alphabetically, and then all the vowels are arranged alphabetically, which letter will be second to the right of fourth  from the left?

A) S B) T
C) I D) E
 
Answer & Explanation Answer: C) I

Explanation:

The given word is VITREOUS. Of which , TRSV are the consonants and IEOU are the vowels. Now, after making the changes as given in the question  we get following arrangment: RSTVEIOU.

Again from precalculation, we know that second to the right of fourth  from the left means (2+4=) 6th from the left. i.e I

 

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Filed Under: Alphabet Test

5 6201
Q:

Application of Inverse Proportion

If 20 persons can do a piece of work in 7 days then calculate the number of persons require to complete the work in 28 days

Answer

Number of persons * days = work  


20 * 7 = 140 man- days 


 


Now,  x * 28  = 140 men- days


=> x =5         


Therefore in second case the required number of person is 5.


 


Second method:


Since work is constant, therefore  M1 x D1= M2 x D2


20 x 7 = M2 x 28


=> M2 = 5 


 

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Subject: Time and Work

5 6195
Q:

 A is the son of B, C.  B's sister has a son D and a daughter E. F is the maternal uncle of D.  How is E related to F ? 

A) Sister B) Daughter
C) Niece D) Wife
 
Answer & Explanation Answer: C) Niece

Explanation:

E is the daughter of C and D is the son of C. So, F, who is the maternal uncle of D, is also the maternal uncle of E. 

Thus, E is the niece of F. 

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Filed Under: Blood Relations

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Q:

The capacity of a tank is 2400 m3.  A pump can be used both for filling and emptying the tank.  The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 

A) 46 cub.m/min B) 44 cub.m/min
C) 48 cub.m/min D) 50 cub.m/min
 
Answer & Explanation Answer: D) 50 cub.m/min

Explanation:

Let filling capacity of the pump be 'F' m3/min

Then, the filling capacity of the pump will be (F + 10) m3/min

From the given data,

2400F - 2400F+10= 8 2400 F+10-FF(F+10) =8 F2 + 10F - 3000 = 0 F = 50 m3/min

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15 6179
Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13 B) 11
C) 13 D) -11
 
Answer & Explanation Answer: C) 13

Explanation:

Given,

 5sinx + 12cosx ≥ -r 

13513sin x + 1213cos x  -rcosx) ≥ -r 

513= cosA => sinA =1213

 

=> 13(sinx cosA + sinA cosx) ≥ -r

 

=> 13(sin(x + A)) ≥ -r

 

we know that , -1 ≤ sin (angle) ≤ 1

 

=> 13sin (x + A) ≥ -13 rmin =13 

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

8 6178
Q:

A person lends Rs. 300 to A at 4% and Rs.540 to B at 6% for the same time. if the total amount that he gets at the end is Rs. 1032. What is the time?

Answer

Money lent to A+B = (300 + 540) = Rs. 840 


Amount received = Rs. 1032 


Interest received = Rs. 1032 - Rs.840 = Rs. 192


 


Interest on Rs. 300 lent to A for 1 year = 300×1×4100 = Rs. 12 


 


Interest on Rs.540 lent to B for 1 year = 540×6×1100 = Rs. 36 


 


 


Total yearly interest = Rs.(12+36) = Rs.48 


If interest is Rs. 48, time = 1 year 


If interest is Rs. 192, time =  192/48 = 4 years 

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Subject: Simple Interest Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

14 6171
Q:

Consider the given arguments as true and decide which of the given assumptions is/are implicit.

Argument :
The best bus travels company has decided to increase its fare by 10%.

Conclusions :
1. Passengers may opt for other buses costing less than the best bus travels company.
2. The demand for the buses by passengers may remain unchanged even after the fare hike.

 

A) Both 1 & 2 are implicit B) Only assumption 1 is implicit
C) Only assumption 2 is implicit D) Neither 1 nor 2 is implicit
 
Answer & Explanation Answer: A) Both 1 & 2 are implicit

Explanation:
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