MCQs Preparation - Page 44 of 65

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?

A. 17cm
B. 20cm
C. 23cm
D. 26cm

Answer

D. 26cm

Solution

Area of each square = (400/64)cm2
Area of each square = 6.25cm2

Side of each small square = √6.25 cm
Side of each small square = 2.5 cm

Since there are 8 squares along each side of the chess board, we have :

Side = [(8 × 2.5) + 6] cm
Side = 26 cm

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board? Read More »

The length of a rectangular increased by 10% and it’s breadth is decreased by 10 %. Then the area of the new rectangle is_________?

A. Neither increased nor decreased
B. Increased by 1%
C. Decreased by 1%
D. Decreased by 10%

Answer

C. Decreased by 1%

Solution

A=l*b
before change
A=100%lb

let l’ be the length after increment
so,
l’=l+l*10/100
l’=l*110/100
l’=l*11/10

let b’ be the breadth after decrement
so,
b’=b-b*10/100
b’=b*90/100
b’=b*9/10

so, new area will be
A’=l’*b’
A’=(l*11/10)*(b*9/10)
A’=l*b*99/100

Change in Percentage will be
A’-A
99lb/100 – 100lb/100
-1/100
or
-1% here negative show sign show % is decreasing by 1

The length of a rectangular increased by 10% and it’s breadth is decreased by 10 %. Then the area of the new rectangle is_________? Read More »

The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it’s breadth is__________?

A. 7.5m
B. 8.5m
C. 10.5m
D. 12.5m

Answer

A. 7.5m

Solution

Cost of flooring per square meter = Rs.8.50

Total cost of flooring of room = Rs.510

Area of the room = 510/8.50
Area of the room = 60m²

Area of the room = l×b
60 = 8×b
b = 60/8

b =7.5m

Breadth of the room is 7.5m

The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it’s breadth is__________? Read More »

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ?

A. 12%
B. 14%
C. 15%
D. 18%

Answer

C. 15%

Solution

Market price of a watch = Rs. 720

After 1st discount = 90% of 720
After 1st discount = 90/100×720
After 1st discount = Rs. 648

Cost price of watch = Rs. 550.80

Difference = 648 – 550.80
Difference = Rs. 97.20

2nd discount = (97.20/648)×100
2nd discount = 9720/648
2nd discount = 15%

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ? Read More »

A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?

A. 8%
B. 10%
C. 16%
D. 20%

Answer

C. 16%

Solution

Assume the cost price =100

So
the marked price (20% more ) = 1.2×100
the marked price (20% more ) = 120

A discount of 30% on the same is = 0.30×120
A discount of 30% on the same is = 36

Actual SP = 120−36
Actual SP = 84

Loss = 100−84
Loss = 16
or
Loss = 16%(Since base is 100)

A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ? Read More »

A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is =_______ ?

A. Rs. 704
B. Rs. 640
C. Rs. 774
D. Rs. 680

Answer

B. Rs. 640

Solution

Market price of the article = Rs. 880

After discount selling price of the article = (880×80)/100
After discount selling price of the article = Rs. 704

Cost price of the article = (704×100)/110
Cost price of the article = Rs. 640

A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is =_______ ? Read More »

Questions 1 – 7 Nine individuals: Ahmed, Bilal, Danish, Faisal, Haroon, Liaquat, Maryam, Shiza, and Zeeshan are to serve on three committees labeled A, B, and C.

Each candidate should serve on exactly one of the committees
Every committee must have atleast one member
Committee A should consist of exactly one member more than that of committee B
Among Maryam, Shiza and Zeeshan none can serve on committee A
Among Faisal, Harron and Liaquat none can serve on committee B
Among Ahmed, Bilal and Danish none can serve on committee C

1. In case Danish and Zeeshan are the individuals serving on committee B, how many of the nine individuals should serve on committee C?
A. 2
B. 3
C. 4
D. 5
E. 6

Answer

C. 4

Solution

If Danish and Zeeshan (two persons) are in committee B, then there must be 3 persons in committee A. Hence, 4 persons should serve in committee C.

2. Of the nine individuals, the maximum number that can serve together on committee C is
A. 5
B. 6
C. 7
D. 8
E. 9

Answer

B. 6

Solution

If minimum 1 in committee B, then committee A must have 2 members. Hence, committee C could have maximum of 6 members.

3. In case Ahmed is the only individual serving on committee B, which among the following should serve on committee A?
A. Bilal and Danish
B. Bilal and Faisal
C. Bilal and Liaquat
D. Faisal and Haroon
E. Danish and Haroon

Answer

A. Bilal and Danish

Solution

If Ahmed is the only (one person) serving in committee B. Then committee A must have 2 members. And, committee C cannot have Ahmed, Bilal and Danish. Hence, Bilal and Danish should serve in committee A.

4. In case, any of the nine individuals serves on committee C, which among the following could not be the candidate to serve on committee A?
A. Ahmed
B. Bilal
C. Danish
D. Liaquat
E. Shiza

Answer

E. Shiza

Solution

Committee A cannot have Maryam, Shiza and Zeeshan. Hence, Shiza cannot serve in committee A.

5. In case, Bilal, Danish and Maryam are the only individuals serving on committee B, the total membership of committee C should be
A. 5
B. 4
C. 3
D. 2
E. 1

Answer

D. 2

Solution

If 3 members in committee B then 4 members in committee A. Hence, 2 members in committee C.

6. In case, Bilal, Danish and Maryam are the only individuals serving on committee B, then the members of committee C should be
A. Haroon and Shiza
B. Maryam and Zeeshan
C. Shiza and Zeeshan
D. Faisal and Shiza
E. Haroon and Maryam

Answer

C. Shiza and Zeeshan

Solution

If Bilal, Danish and Maryam (3 persons) are serving in committee B. Then, committee A must have 4 persons and cannot have Maryam, Shiza and Zeeshan. Hence, Shiza and Zeeshan should be in committee C.

7. Among the following combinations which could constitute the membership of committee C?
A. Danish and Shiza
B. Faisal and Maryam
C. Liaquat, Maryam and Shiza
D. Faisal, Haroon and Liaquat
E. Ahmed, Faisal, Maryam and Zeeshan

Answer

B. Faisal and Maryam

Solution

If committee B=1, A=2 then C=6. If committee B=2, A=3 then C=4. If committee B=3, A=4 then C=2. So, committee C cannot have odd number of members. And, committee C cannot have Ahmed, Bilal and Danish. Hence, it should have Faisal and Maryam.

Questions 1 – 7 Nine individuals: Ahmed, Bilal, Danish, Faisal, Haroon, Liaquat, Maryam, Shiza, and Zeeshan are to serve on three committees labeled A, B, and C. Read More »