## Quantitative Aptitude Questions and Answers With Explanation (Practice set 12)

**Q1:****The speed of a car increases by 2 km after every one hour. If the distance traveling in the first one hour was 35 km. what was the total distance traveled in 12 hours?**

A) 456 kms B) 482 kms

C) 552 kms D) 556 km

**Q2:****If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?**

A) 1 B) 3

C) 7 D) 14

**Q3:****Find the compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually**

A) 2109 B) 3109

C) 4109 D) 6109

**Q4:****The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:**

A) 123 B) 127

C) 235 D) 305

**Q5:****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

**Q6:****Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes, and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month?**

A) 3864 B) 4903

C) 5849 D) 6789

**Q7:****What was the day of the week on 17th June 1998?**

A) Monday B) Tuesday

C) Wednesday D) Friday

**Q8:****In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes cast is:**

A) 47.5% B) 41%

C) 38% D) 45%

**Q9:****The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :**

A) 35 B) 36.5

C) 40 D) 42

**Q10:****The ratio of two numbers is 3:4 and their H.C.F is 4. Their L.C.M is **

A) 12 B) 16

C) 24 D) 48

**ANSWERS WITH EXPLANATION**

** **

**Answer1: C) 552 km****Explanation:**

Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)

This is an A.P with first term, a=35, number of terms,

n= 12,d=2.

Required distance = 12/2[2 x 35+{12-1) x 2]

=6(70+23)

= 552 kms.

**Answer2: C) 7****Explanation:**

Let the required number of days be x.

Fewer spiders, More days (Indirect Proportion)

Fewer webs, Fewer days (Direct Proportion)

Spiders 1:7 ----------------(1)

Webs 7:1-------------------(2)

From (1) and (2), we have

7:x

=> 1 * 7 * x = 7 * 1 * 7

=> x= 7

**Answer3: B) 3109****Explanation:**

Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.

Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]

=Rs. [8000 * (23/20) * (23/20) * (21/20)]

= Rs. 11109. .

:. C.I. = Rs. (11109 - 8000) = Rs. 3109.

**Answer4: B) 127****Explanation:**

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

**Answer5: 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.

**Answer6: A) 3864****Explanation:**

Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400 = Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.

**Answer7: C) Wednesday****Explanation:**

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March. April. May. June.

(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

The given day is Wednesday.

**Answer8: D) 45%****Explanation:**

Let there be x voters and k votes goes to loser then

0.8x - 120 = k + (k + 200)

k+200 = 0.41x

=> k = 1440

and (k + 200) =1640

Therefore 1440/3200 x 100 = 45%

**Answer9: B) 36.5****Explanation:**

Correct Sum = (36 * 50 + 48 - 23) = 1825.

Correct mean = = 1825/50 = 36.5

**Answer10: D) 48****Explanation:**

Let the numbers be 3x and 4x. Then their H.C.F = x. So, x=4

Therefore, The numbers are 12 and 16

L.C.M of 12 and 16 = 48

Also Practice: *Quantitative Aptitude Questions and Answers With Explanation (Practice set 11)*