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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

A) 100 m B) 150 m
C) 190 m D) 200 m
 
Answer & Explanation Answer: A) 100 m

Explanation:

Relative speed of the thief and policeman  =  (11 – 10) km/hr = 1 km/hr 

Distance covered in 6 minutes  = (1/60) x 6 km   = 1/10 km = 100 m

Therefore, Distance between the thief and policeman = (200 – 100) m = 100 m.

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Filed Under: Time and Distance

254 76460
Q:

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

A) 19 B) 29
C) 39 D) 49
 
Answer & Explanation Answer: C) 39

Explanation:

Let B's present age = x years. Then, A's present age = (x + 9) years.
(x + 9) + 10 = 2(x - 10)

 => x + 19 = 2x - 20

 => x =39.

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Filed Under: Problems on Ages

358 76329
Q:

In each of these questions, two equations (I) and (II) are given.

I. 2x2+19x+42 = 0II. 4y2+43y+30 = 0

A)  x > y B) x < y
C)  x ≥ y D) x ≤ y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Filed Under: Simplification

2 76319
Q:

In the following question, select the odd word pair from the given alternatives.

 

A) Trouser – Garment B) Ostrich – Bird
C) Table – Furniture D) Stationery – Pen  
 
Answer & Explanation Answer: D) Stationery – Pen  

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 76137
Q:

Solve the following :

38 - (60 ÷ 5 x 16 - 8 ÷ 2 ÷ 3) =?

 

A) 22 B) 29
C) 30 D) 37
 
Answer & Explanation Answer: A) 22

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 76104
Q:

Find the odd one out of the following number series?

56, 64, 48, 90, 16, 144

 

A) 48 B) 64
C) 90 D) 16
 
Answer & Explanation Answer: C) 90

Explanation:

The given number series follows a pattern that,

56

56 + 8 = 64

64 - 16 = 48

48 + 32 = 80 (Not equal to 90)

80 - 64 = 16

16 + 128 = 144 

 

Hence, the odd number in the given number series is 90.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

4 75992
Q:

Fill in the blanks

sinA = _____ x cosA

 

A) sinA B) tanA
C) cotA D) cosA
 
Answer & Explanation Answer: B) tanA

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 75786
Q:

A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.

A) 4360 B) 4460
C) 4560 D) 4660
 
Answer & Explanation Answer: B) 4460

Explanation:

Let the sum be Rs.P.then
P(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

270 75761