Quantitative Aptitude - Arithmetic Ability Questions

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
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16 82654
Q:

Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

A) Rs. 169.50 B) Rs.1700
C) Rs. 175.50 D) Rs. 180
 
Answer & Explanation Answer: C) Rs. 175.50

Explanation:

Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135)/2= Rs.130.50

So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find 'x'.

 

Cost of 1 kg tea of 1st kind         Cost of 1 kg tea of 2nd kind 

 

 

  

x-153/22.50 = 1  => x - 153 = 22.50  => x=175.50.

 Hence, price of the third variety = Rs.175.50 per kg.

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Filed Under: Alligation or Mixture
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556 82501
Q:

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A) 400 kg B) 560 kg
C) 600 kg D) 640 kg
 
Answer & Explanation Answer: C) 600 kg

Explanation:

By the rule of alligation:

 

Profit of first part                         Profit of second part

 

 

So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3. 

 

Therefore, Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.

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Filed Under: Alligation or Mixture

333 82446
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 82321
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
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5 82141
Q:

Choose the figure which is different from the rest three.

 

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Odd Man Out
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0 80690
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
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0 80605
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 80546