## Quantitative Aptitude Questions and Answers With Explanation (Practice set 10)

**Q1:****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 the rent?**

A) Rs. 45 B) Rs. 50

C) Rs. 55 D) Rs. 60

**Q2:****The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?**

A) 70 kg B) 75 kg

C) 80 kg D) 85 kg

**Q3:****The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:**

A) 1 B) 2

C) 3 D) 4

**Q4:****The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :**

A) 4 B) 8

C) 12 D) 16

**Q5:****A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is :**

A) 9.5 km/hr B) 10 km/hr

C) 10.5 km/hr D) 11 km/hr

**Q6:****A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?**

A) 3.6 B) 7.2

C) 8.4 D) 10

**Q7:****A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same sizes. what is the largest size of the tile which could be used for the purpose?**

A) 14 cms B) 21 cms

C) 42 cms D) None of these

**Q8:****The average weight of a class of 24 students is 35 kg. If the weight of the teacher is included, the average rises by 400 g. The weight of the teacher is : **

A) 45 kg B) 46 kg

C) 47 kg D) 48 kg

**Q9:****An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?**

A) 360 B) 180

C) 90 D) 60

**Q10:****In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?**

A) 720 B) 520

C) 700 D) 750

**ANSWERS WITH EXPLANATION**

**Answer1: 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.

**Answer2: D) 85 kg****Explanation:**

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

**Answer3: B) 2****Explanation:**

Let the numbers 13a and 13b.

Then, 13a x 13b = 2028

=>ab = 12.

Now, the co-primes with product 12 are (1, 12) and (3, 4).

[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]

So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).

Clearly, there are 2 such pairs.

**Answer4: B) 8****Explanation:**

Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.

Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.

or 5x + 20 = 305 or x = 57.

So, required difference = (57 + 8) - 57 = 8

**Answer5: B) 10 km/hr****Explanation:**

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

**Answer6: B) 7.2****Explanation:**

Speed = (600/5×60) m/sec= 2 m/sec = 2 x (18/5) km/hr = 7.2 km/h

**Answer7: B) 21 cms****Explanation:**

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence the largest size of square tiles that can be paved exactly with square tiles is 21 cm

**Answer8: A) 45 kg****Explanation:**

Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.

**Answer9: B) 180****Explanation:**

Angle traced by the hour hand in 6 hours=(360/12)*6

**Answer10: A) 720**

**Explanation:**

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

**Also Practice: ***Quantitative Aptitude Questions and Answers With Explanation (Practice set 9)*