Quantitative Aptitude - Arithmetic Ability Questions

Q:

P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?

A) 60/11 B) 61/11
C) 71/11 D) 72/11
 
Answer & Explanation Answer: A) 60/11

Explanation:

P can complete the work in (12 x 8) hrs = 96 hrs 

Q can complete the work in (8 x 10) hrs=80 hrs 

Therefore, P's 1 hour work=1/96   and Q's 1 hour work= 1/80

(P+Q)'s 1 hour's work =(1/96) + (1/80) = 11/480. So both P and Q will finish the work in 480/11 hrs  

Therefore, Number of days of 8 hours each = (480/11) x (1/8) = 60/11

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Filed Under: Time and Work

236 82296
Q:

Find the odd one out?

6, 3, 3, 4.5, 10

A) 3 B) 4.5
C) 6 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Here the given number series is 6, 3, 3, 4.5, 10

The odd one in the given series is 10

The pattern it follows is

6

6 x 0.5 = 3

3 x  1  = 3

3 x 1.5 = 4.5

4.5 x 2 = 9

 

Hence, the odd number is 10.

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7 82249
Q:

What number should replace the question mark?

125, 138, 164, ?, 255

A) 189 B) 197
C) 200 D) 203
 
Answer & Explanation Answer: D) 203

Explanation:

The given number series is 125,   138,   164,   ?,   255

 

125

 

125 + 13x1 = 138

 

138 + 13x2 = 164

 

164 + 13x3 = 203

 

203 + 13x4 = 255

 

 

 

Hence, the missing number in the series is 203.

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

5 82073
Q:

Find the Odd one out of the given series

6, 15, 35, 77, 165, 221

A) 221 B) 165
C) 35 D) 77
 
Answer & Explanation Answer: B) 165

Explanation:

The terms of the series are products of two consecutive prime numbers i.e.

(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

16 81881
Q:

Which is the next number in the sequence:

1, 3, 6, 11, 20, 37, ??

A) 49 B) 56
C) 64 D) 70
 
Answer & Explanation Answer: D) 70

Explanation:

Here the given series is 1, 3, 6, 11, 20, 37, ??,

and the logic behind the series is

1 x 2 + 1 = 3

3 x 2 + 0 = 6

6 x 2 + (-1) = 11

11 x 2 + (-2) = 20

20 x 2 + (-3) = 37

37 x 2 + (-4) = 70

 

Hence, the next number in the given series is 70.

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6 81142
Q:

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A) 55/601 B) 601/55
C) 11/120 D) 120/11
 
Answer & Explanation Answer: C) 11/120

Explanation:

Let the numbers be a and b.

 

Then, a + b = 55 and ab = 5 x 120 = 600.

 

The required sum =1a+1b = a+bab55600=11120

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Filed Under: HCF and LCM

134 80481
Q:

Direction: What should come in the place of question mark (?) in the following number series?

7, 10, 16, 28, ?, 100

A) 34 B) 40
C) 52 D) 60
 
Answer & Explanation Answer: C) 52

Explanation:

The pattern followed is +3 , +6 , +12 , +24 , +48

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 80442
Q:

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A) Rs. 45 B) Rs. 50
C) Rs. 55 D) Rs. 60
 
Answer & Explanation Answer: A) Rs. 45

Explanation:

A:B:C = (10×7):(12×5):(15×3)

         = 70 :60 :45

         = 14 :12 :9

 

C's rent = Rs.(175×9/35)

            =Rs. 45.

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Filed Under: Partnership

60 80019