**Find solutions for all the questions at the end of each set:**

### Set A

1.When a number is divided by 56,the remainder is 27, what will be the remainder when the number is divided by 13?

(a)9

(b)7

(c)1

(d)8

2.If 854A9A is divisible by 11,then the values of A is

(a)6

(b)3

(c)9

(d)8

3.Find the length of the wire required to fence a square field 6 times having its area 5 hectares and 76 ares:?

(a) 5760m

(b) 6760m

(c) 52500m

(d) 11760m

4.A 380 metre long train moving with an average speed of 162 km/h crosses a platform in 16 seconds. A man crosses the same platform in 17 seconds. What is the speed of the man?

(a) 15 m/s

(b) 18 m/s

(c) 20 m/s

(d) Cannot be determined

5.P, Q, R are employed to do a work for Rs. 5750. P and Q together finished 19/23 of work and Q and R together finished 8/23 of work. Wage of Q, in rupees, is-

(a) 2850

(b) 3750

(c) 2750

(d) 1000

6.A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

(a) 3:1

(b) 1:3

(c) 1:2

(d) 2:1

7.If the efficiency of 2 men is equal to 3 women or is equal to 4 boys. By employing 14 men. 12 women and 12 boys a certain work can be finished in 24 days. If due to an emergency the work has to be finished in 14 days. How many additional labour are required if only men are available as labours?

(a) 20 men

(b) 18 men

(c) 48 men

(d) 28 men

8.The ratio of A to B is 4 : 5 and that of B to C is 2 : 3. If A equals 800, C equals

(a) 1000

(b) 1200

(c)1500

(d) 2000

9.If A : B is 2 : 3, B : C is 6 : 11, then A : B : C is:

(a) 2 : 3 : 11

(b) 4 : 6 : 22

(c) 4 : 6 : 11

(d) 2 : 6 : 11

10.A boy can swim in still water at a speed of 10 km/hr. If the speed of the current would have been 5 kmph, then the boy could swim 60 km.

(a) upstream in 4 hour

(b) downstream in 12 hours

(c) upstream in 6 hours

(d) downstream in 4 hours

Answers and Solution

1. (c)

27 is divided by 13

so Required remainder = remainder by 27/13 = 1

2. (c)

Sum of digital at odd places of 854A9A = A+A+5 =2A+5

Sum of digits at even places of 854A9A =8+4+9 = 21

so(2A+5)-21 = 0 OR 11 or 22

so 2A+5-21 = 0

2A =16

A = 8

3.(a)

Soln= 5 hectares and 76 ares = 57600 m^2, find perimeter then multiply it by 6.

So length of wire is 5760m.

4.(c)

5.(d)

Soln- Work done by Q = 19/23 + 8/23 – 1 = 4/23

We know Wage of Q = 4/23 * 5750 = Rs. 1000

6.(a)

Let speed upstream = x

Then, speed downstream = 2x

Speed in still water = (2x+x)/2=3x/2

Speed of the stream = (2x−x)/2=x/2

Speed in still water : Speed of the stream = 3x/2:x/2 = 3 : 1

7.(a)

8.(c)

A : B = 4 : 5

B : C = 2 : 3

so, A : B : C = 4 x 2 : 5 x 2 : 5 x 3

= 8 : 10 : 15

If A equals 800, then C equals 1500

9.(c)

A : B = 2 : 3 4 : 6

B : C = 6 : 11

so, A : B : C = 4 : 6 : 11

10.(d)

Rate downstream= 10 + 5 = 15 kmph

Rate upstream = 10 – 5 = 5 kmph

Time taken in swimming 60 km downstream

= 60/15=4 hours

Time taken in swimming 60 km upstream

= 60/5=12 hours

**Find solutions for all the questions at the end of each set:**

### Set B

1.Half of Sonu’s monthly income is equal to four-seventh of Rajiv’s monthly income. Rajni’s monthly income is Rs 32000 which is double the monthly income of Sonu. What is Rajiv’s monthly income?

(a) Rs 16000

(b) Rs 4571

(c) Rs 14000

(d) Cannot be determined

2.The length of a rectangle is three-fifths of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm?

(a) 112.4 sq cm

(b) 104.2 sq cm

(c) 100.8 sq cm

(d) Cannot be determined

3.Five-ninths of a number is equal to twenty five per cent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is 2960. What is 30 per cent of the first number?

(a) 88.8

(b) 99.9

(c) 66.6

(d) Cannot be determined

4.The ratio of the present age of Manoj to that of Wasim is 3:11. Wasim is 12 years younger than Rehana. Rehana’s age after 7 years will be 85 years. What is the present age of Manoj’s father, who is 25 years older than Manoj?

(a) 43 years

(b) 67years

(c) 45 years

(d) 69 years

5.Dinesh’s monthly income is four times Suresh’s monthly income. Suresh’s monthly income is twenty per cent more than Jyoti’s monthly income. Jyoti’s monthly income is Rs 22,000. What is Dinesh’s monthly income?

(a) Rs 1,06,500

(b) Rs 1,05,600

(c) Rs 1,04,500

(d) Rs 1,05,400

6.Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?

(a) 72 kph

(b) 44 kph

(c) 20 kph

(d) 60 kph

7.The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

(a) 19 : 22

(b) 20 : 21

(c) 21 : 22

(d) 17 : 18

8.A certain sum of money amounted to Rs 600 at 5% in a time in which Rs 800 amounted to Rs 960 at the same rate. If rate of interest is simple then what is the sum?

(a) Rs 540

(b) Rs 520

(c) Rs 500

(d) Rs 480

9.If the difference between the compound interest and simple interest on a certain sum of money at 6% per annum for 2 years is Rs 3.60. What is the sum?

(a) Rs 1000

(b) Rs 925

(c) Rs 960

(d) Rs 980

10.A man can swim at 10 kmph in still water. If the river flows at 3 kmph and, it takes 12 hours more in upstream than to go downstream for the same distance, then how far is the place?

(a) 160 km (b) 164 km

(c) 170 km (d) 182 km

Answers will be updated soon.....

1. (c); Sonu’s monthly income = Rs = Rs 16000

Let the Rajiv’s monthly income be Rs x

Now, according to the question,

or, 4x = 8000 × 7

or, x = = 14000

Rajiv’s monthly income = Rs 14000

2. (c). Let the side of the square be a.

Length of the rectangle =

Radius of the circle = a

Circumference of the circle = 2πa = 132

a = = 21

Now, area of the rectangle = lenght × breadth

= × 21 × 8 = 100.8 sq. cm

3. (b).

4. (a). Present age of Rehana = 85 – 7 = 78 years

Present age of Wasim = 78 – 12 = 66 years

Present age of Manoj = × 66 = 18 years

Present age of Manoj’s father = 18 + 25 = 43 years

5. (b). Suresh’s monthly income = 1.2 × 22000 = ` 26400

Dinesh’s monthly income = 26400 × 4 = ` 105600

6. (a).

7. (c) : Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

=> [120/100 x 7x] and [110/100 x 8x]

=> 42x/5 and 44x/5

=> The required ratio = 42x/5 : 44x/ 5] = 21 : 22

8. (c)

9. (a)

10. (d)

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