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- Question
- Value of ? in expression
78.9 ÷ (343)1.7 x (49)4.8 = 7? is
Options- A. 13.4
- B. 12.8
- C. 11.4
- D. 9.6
- Correct Answer
- 13.4
Explanation78.9 ÷ (343)1.7 x (49)4.8 = 7?
Apply the law of Fractional Exponents and Laws of Exponents
(am)(an) = am+n
am÷an=am?n
am/an=am?n
(am)n = amn
78.9 ÷ (343)1.7 x (49)4.8 = 7?
? 78.9 ÷ (73)1.7 x (72)4.8 = 7?
? 78.9 ÷ 75.1 x 79.6 = 7?
? 78.9 - 5.1 + 9.6 = 7?
? 718.5 - 5.1 = 7?
? ? = 13.4 - 1. 15 men complete a work in 16 days If 24 men are employed then the time require to complete that work will be
Options- A. 7 days
- B. 8 days
- C. 10 days
- D. 12 days Discuss
- 2. L?M is surd of order ........, where M is a rational number; L is a positive integer and L?M is irrational.
Options- A. L
- B. M
- C. 2
- D. 4 Discuss
- 3. log -1/3 81 is equal to?
Options- A. - 27
- B. - 4
- C. 4
- D. 127 Discuss
- 4. The average age of A,B,C,D and E is 40 years.The average age of A and B is 35 years and the average age of C and D is 42 years .The age of E is
Options- A. 46
- B. 48
- C. 32
- D. none of these Discuss
- 5. 6 bells commence tolling together and toll of intervals are 2, 4, 6, 8, 10 and 12 s, respectively. In 1 h, how many times, do they toll together?
Options- A. 16
- B. 32
- C. 21
- D. 35 Discuss
- 6. 20 persons completed 1/3rd of the work in 12 days. How many more person are required to finish the rest work in next 12 days?
Options- A. 20
- B. 12
- C. 18
- D. 40 Discuss
- 7. Find the bankar's discount at a bill of ? 12750 due four months hence when rate of interest is 6% per annum?
Options- A. ? 250
- B. ? 120
- C. ? 255
- D. ? 300 Discuss
- 8. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black sock is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :
Options- A. 2:1
- B. 1:4
- C. 1:2
- D. 4:1 Discuss
- 9. City A has a population of 136000 which is decreasing at the rate of 2400 per year , City B has a population of 84000 which is increasing at the rate of 1600 per year . In how many years will the population of two cities become equal ?
Options- A. 15
- B. 18
- C. 13
- D. 19 Discuss
- 10. A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Options- A. Rs. 207.40
- B. Rs. 534.60
- C. Rs. 648
- D. Rs. 655.60 Discuss
More questions
Correct Answer: 10 days
Explanation:
let the work done be 1 work.
Here M1=15, D1=16 W1=W2 =1
M2 =24 D2= ?
? According to the formula
M1 D1 W2 = M2 D2 W1
? 15 x 16 x 1 = 24 x D2 X 1
? D1 = 15 X 16/24 = 10
Therefore 10 days are required to complete the work
Correct Answer: L
Explanation:
L?3 = M1/L = Surd of Lth order.
Correct Answer: 4
Explanation:
Let log-1/381 = x
? 81 = (-1/3)x
? 34 = (-1/3)x = 3-x
? x = -4
Correct Answer: 46
Explanation:
Age E = ( A + B + C + D + E ) - [ ( A + B ) + ( C + D ) ]
= ( 40 x 5 ) - [ ( 35 x 2 ) + ( 42 x 2 )]
=200 - ( 70 + 84)
= 200 - 154
= 46
Correct Answer:
Explanation:
LCM of 2, 4, 6, 8, 10, 12
=(2 x 2 x 3 x 2 x 5) = 120
? After every 2 min, they toll together.
? Number of times they toll together in one hour = (60/2) + 1 times
= 31 times
Correct Answer: 20
Explanation:
Work done = 1/3
Remaining work = 2/3
So for double work in same days we need double number of people i.e. 40.
So, 20 men will be increased.
Correct Answer: ? 255
Explanation:
Given That, A = ? 12750, R = 6%
and T = 4 Months = 4/12 = 1/3 yr , BD = ?
According to the formula,
BD = (A x R x T)/100
= [12750 x 6 x (1/3)] / 100
= (12750 x 2) / 100
= ? 255
Correct Answer: 1:4
Explanation:
Let us assume the number of brown socks = B
Let us assume the price of brown socks = ? P per pair
Then price of black socks = ? 2P per pair
Before interchanging the shocks the amount = amount of black shocks + amount of brown shocks
? Before interchanging the shocks the total amount = 4 x 2P + B x P
? Before interchanging the shocks the total amount = 8P + BP
After interchanging the shocks the total amount = amount of black shocks + amount of brown shocks
? After interchanging the shocks the total amount = 4 x P + B x 2P
? After interchanging the shocks the total amount = 4P + 2BP
According to question,
After interchanging the shocks the total amount = Before interchanging the shocks the amount + Before interchanging the shocks the amount x 50 %
4P + 2BP = 8P + BP + (8P + BP ) x 50%
? 4P + 2BP = 8P + BP + (8P + BP ) x 50/100
? 4P + 2BP = 8P + BP + (8P + BP ) x 1/2
? 4P + 2BP = ( 16P + 2BP + 8P + BP ) x 1/2
? (4P + 2BP) x 2 = ( 16P + 2BP + 8P + BP )
? 8P + 4BP = 24P + 3BP
? 8P + 4BP = 24P + 3BP
? 4BP - 3BP = 24P - 8P
? BP = 16P
? B = 16
The ratio of the number of black and brown pairs of socks = Number of block shocks / Number of Brown Shocks
? The ratio of the number of black and brown pairs of socks in the original order = 4/16 = 1/4 = 1: 4
Correct Answer: 13
Explanation:
Let population of cities A and B become equal after x year.
According to the question.
Population of city A = Population of city B
Then,
136000 - 2400 x = 84000 + 1600 x.
? 4000x = 52000
? x = 52/4 = 13 year
Correct Answer: Rs. 648
Explanation:
| Number of shares = | ❨ | 4455 | ❩ | = 540. |
| 8.25 |
Face value = Rs. (540 x 10) = Rs. 5400.
| Annual income = Rs. | ❨ | 12 | x 5400 | ❩ | = Rs. 648. |
| 100 |
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