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- Multiple ChoicePlease save your changes before editing any questions.
The least positive integer x satisfying 28 = x (mod 6) is

2

3

4

1

- Multiple ChoicePlease save your changes before editing any questions.
If x is the least non-negative integer satisfying 218 = x (mod 7), then x² + 1 is equal to

1

2

5

10

- Multiple ChoicePlease save your changes before editing any questions.
The unit's digit of $7^{100}$ is

1

2

3

4

- Multiple ChoicePlease save your changes before editing any questions.
$Value\ of\ \phi\left(27\right)\ is$ (Euler Totient Function)

27

18

9

36

- Multiple ChoicePlease save your changes before editing any questions.
$Value\ of\ \sigma\left(12\right)\ \left(Sum\ of\ divisor\ function\right)$

12

28

27

16

- Multiple ChoicePlease save your changes before editing any questions.
20 litres of a mixture contains milk and water in the ratio 3:1. The amount of milk, in litres to be added to the mixture so as to have thilk and water in the ratio 4:1 is

7

4

5

6

- Multiple ChoicePlease save your changes before editing any questions.
10 litres Two vessels A and B contain milk and water mixed in the ratio 5:2 and 3:4 respectively The ratio in which these two mixtures be mixed to get a new mixture containing 6:1

1:3

3:1

1:1

6:7

- Multiple ChoicePlease save your changes before editing any questions.
A man rows downstream 32 km and 12 km upstream. If he takes 4 hours to cover each distance, then the speed of the stream in km/hr is

5.5km/h

2.5km/h

11km/h

5km/h

- Multiple ChoicePlease save your changes before editing any questions.
A boat goes 12 km upstream in 48 minutes. If the speed of the stream is 2 km/hr, the speed of boat in still water is

13 km/h

17 km/h

6.5 km/h

8.5 km/h

- Multiple ChoicePlease save your changes before editing any questions.
A, B and C invested 2,45,000, 70,000 and 90,000 respectively to start a business, at the end of 2 years, they earned a profit of 162,000.C;s share in the profit is

36000

56000

28000

98000

- Multiple ChoicePlease save your changes before editing any questions.
A and enter into a partnership with 50,000 and 60,000 respectively C joins them after x months contributing 70,000 and B leaves x months before the end of the year If they share the profit in the ratio 20:18:21, then x

3

6

8

9

- Multiple ChoicePlease save your changes before editing any questions.
A, B and C are partners in a business. Their shares are in the proportion of $\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$ . A withdraws half of his capital after 15 months and after another 15 months, a profit of 4,340 is divided. The share of C is

1240

1245

1360

1550

- Multiple ChoicePlease save your changes before editing any questions.
The ratio of investments of two partners A and B is 11:12 and the ratio of their profits is 2:3. If A invested the money for 8 months, then for how much time B invested his money?

10 months

11 months

9 months

5 months

- Multiple ChoicePlease save your changes before editing any questions.
In a race of 400 meters, A can give B a start of 20 meters and C a start of 39 meters. How many starts can B give to C in the same race?

20 meters

15 meters

18 meters

25 meters

- Multiple ChoicePlease save your changes before editing any questions.
In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many meters will A beat C in a race of 500 m?

85 m

95 m

105m

115m