MATHS : QUIZ

1.If 7^(x – y) = 343 and 7^(x + y) = 16807, what is the value of x?
A. 4
B. 3
C. 2
D. 1

2.The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
A. 15360
B. 153600
C. 30720
D. 307200
 3.1/(1+P^(n−m))+1/(1+P^(m−n)=?
A. 2
B. 1/1+P
C. 1
D. 1/P
4.A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
A. 34
B. 40
C. 68
D. 88
5. If x=(8+3√7), what is the value of (√x−1/√x) ?
A. √12
B. 4
C. 2
D. √14
6.(1024)^n/5×(4^2n+1)/(16)^n×(4)^n−1= ?
A. 256
B. 64
C. 16
D. 9
7.Today is Monday. After 61 days, it will be:
A. Wednesday
B. Saturday
C. Tuesday
D. Thursday
8.P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
A. 8/15
B. 7/15
C. 11/15
D. 2/11
9.When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students
A. 55
B. 56
C. 57
D.58
10.A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
A. Rs. 380
B. Rs. 600
C. Rs. 420
D. Rs. 400

ANSWERS AND SOLUTION:
1( A)Explanation :7^(x – y) = 343 = 7^3
=> x – y = 3 —————————(Equation 1)
7^(x + y) = 16807 = 7^5
=> x + y = 5 —————————(Equation 2)
(Equation 1)+ (Equation 2) => 2x = 3 + 5 = 8
=> x = 8/2 = 4

2(B)Explanation:
Perimeter = Distance covered in 8 min. = (12000/60x 8)m = 1600 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
 Length = 480 m and Breadth = 320 m.
 Area = (480 x 320) m2 = 153600 m^2
3.(C)
4.( D)Explanation:We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
5. (D)
6( C)
7(B)Explanation:
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
 After 61 days, it will be Saturday.

8(A)Explanation :
Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15

9(C)Explanation:
Let the average weight of the 59 students be A.
So the total weight of the 59 of them will be 59*A.
The questions states that when the weight of this student who left is added, the total weight of the class = 59A + 45
When this student is also included, the average weight decreases by 0.2 kgs
          59A+45/60 = A-0.2
=> 59A + 45 = 60A – 12
=> 45 + 12 = 60A – 59A
=> A = 57

10( D)Explanation :
Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do = 1/3
Amount of work C can do in 1 day = 1/3 – 7/24 = 1/24
work A can do in 1 day: work B can do in 1 day: work C can do in 1 day
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3200 × (1/8) = 400

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