## Mathematical Operations Questions and Answers Part-4

Data for Questions 1 to 3 : A”B implies A + B
A’b implies A – B
A@B implies A ∏ B
A*B implies A ¥ B

1. A man travels with a speed of f from A to B and returns from B to A with speed h. What is the average speed of the man over the entire journey?
a) 2f’h/f”h
b) 2f@h/f”h
c) 2f*h/f@h
d) none of these

Explanation: It can be seen that none of these is correct. Hence, (d) is the answer.

2. Jadugar has a jadoo box which has a length, breadth and height which can be represented by ‘x’, ‘a’, ‘c’ respectively. What is the formula for its total surface area?
a) 2[(x’a)*(a”c)*(x”c)]
b) 2[(x*a)”(a*c)”(x*c)]
c) 2[(x’a)*(a*c)*(x*c)]
d) none of these

Explanation: The surface area of a cuboid box is equal to twice the areas of each of the sides. Hence, option (b) is correct.

3. At the Wave cinemas in Sector 18 in Noida, charges for parking are as follows
1. For cycles Rs 2
2. For scooters Rs 5
3. For cars Rs 20
On a particular day there were ‘25’ cycles, ‘40’ scooters and ‘100’ cars parked at the stand, what was the amount collected in that particular day?
a) (25”2)*(40”5)*(100”20)
b) (25’2)@(40’5)@(100’20)
c) (25*2)”(40*5)”(100*20)
d) none of these

Explanation: The correct answer is option (c)

Data for Questions 4 to 8 : AXB implies A2 + B2
AYB implies A2 – B2
AZB implies (A + B)2
AMB implies (A – B)2

4. Calculate the value of (4X5)Y(6X7)
a) 5544
b) -5544
c) 500
d) none of these

Explanation: 412 – 852 = 1681 – 7225 = – 5544. Hence, option (b) is correct answer

5. Calculate the value of (373)M(413)
a)1600
b) 900
c) 400
d) 2500

Explanation: (– 40)2 = 1600. Hence, option (a) is correct answer

6. If (AMB) = (AZB) then which of the following is true.
a) A – B = 0
b) $A^{2}=B^{2}$
c) A.B = 0
d) A = 0

Explanation: The given expression tells us that (A – B)2 = (A + B)2 . This can only occur when 2AB = – 2AB = 0. Hence, option (c) is correct

7. Calculate (3Z4) – (5M5)
a) 49
b) 25
c) 64
d) none of these

Explanation: 72 = 49. Hence, correct answer is option (a).

8. Calculate the value of (2Z2)M(4Y4)
a) 16
b) 256
c) 25
d) none of these

Explanation: 162 = 256. Hence, correct answer is option (b).

Data for Questions 9 & 10 : If ‘*’ indicates either ‘+’ or ‘¥’, solve the following questions

9. What is the maximum value of
1*2*3*4*5*6*7
a) 5040
b) 5041
c) 7!/2
d) none of these

Explanation: The maximum value will be obtained when we use multiplication between 2 to 7 and addition between 1 and 2. Hence, option (b) is the answer.

10. What is the minimum value of
1*2*3*4
a) 10
b) 9
c) 11
d) 14

Explanation: The minimum value will be got if we use a multiplication between 1 and 2 and addition between 2, 3, and 4. The value will be 1 ¥ 2 + 3 + 4 = 9. Hence, option (b) is the answer.

Data for Questions 11 & 12 : If
A indicates >
B indicates <
C indicates =
D indicates π
E indicates +
F indicates –
G indicates *
H indicates ∏

11. Which of the following is false?
a) (5E7)A(4E3)A(1E2)
b) (5E6)A(6E12)A(13E6)
c) (12H3)C(40H10)C(60H15)
d) all of these are false