- Gita buys a plot of land for Rs 36000. She sells 2/5th of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is.
59/3 %67/5 %61/4 %62/3 %53/2 %Option D

Land at 6% loss /Land at x% profit = (x – 10)/ 16

⇒ 2/5/3/5 = x – 10/16

=> 2/3 = x – 10/16

⇒ x = 62/3 % - 600 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
110g130g125g100g120gOption E

Let x g sugar is added Original sugar = 600 × 40/100 = 240 g

(240+x)/ (600+x) × 100 = 50

⇒ 480 + 2x = 600 + x

⇒ x = 120g - A milk seller has milk of Rs 100 per litre, in what ratio should water be mixed in that milk so that after selling the mixture at Rs 80 per litre, he gets a profit of 50%?
8:93:47:81:35:4Option C

Cost price of mixture = 80 × 100/150 = 160/3

Milk :Water = 160:140 = 8:7

Water: Milk = 7:8 - A person has Rs 8400. He lent a part of it at 4% and the remaining at 10/3 % at simple interest. His total annual interest was Rs 294. Find the sum he lent at 4%.
Rs.1500Rs.1800Rs.2100Rs.2500Rs.3000Option C

Let annual rate is r%.

r = 100 × 294/8400 × 1 = 3.5%

Sum at 4% /Sum at 10/3% = 1/6:1/2 = 1:3

Sum at 4% = 1/4 × 8400 = Rs.2100 - How many kg of sugar worth Rs. 25 per kg must be blended with 30 kg of sugar worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be gain of 10%?
20 kg36 kg33 kg22 kg30 kgOption B

C.P. of mixture of sugar = 30 × 100/110 = 300/11 rupee⁄kg

According to law of mixture ,

sugar1/sugar2 = 30/25 = 6/5

Quantity of sugar 1 = 6/5 × 30 = 36 kg - 15 men can do a work in 12 days. 18 women can do the same work in 20 days. In how many days 8 men & 12 women together will complete that work?
15(1/8) days12(6/7) days11(3/4) days13(5/7) days10(2/5) daysOption B

Let efficiency of one man and one woman be ‘m’ units/day and ‘w’ units/day respectively. 15m × 12 =18w × 20

1m = 2w

Now,(8m + 12w) ×x = 18w × 20

=> (16w + 12w) ×x = 18w × 20

=>𝑥 = 18𝑤 × 20/28𝑤 = 12(6/7) days - A sum of money fetches Rs 240 as simple interest at the rate of 5 p.c.p.a. after 6 years. What is that sum?
Rs. 700Rs. 800Rs. 400Rs. 500Rs. 600Option B

Principal = 𝑆𝐼 × 100/𝑇𝑖𝑚𝑒 × 𝑅𝑎𝑡𝑒

= 240 × 100/5 × 6 = Rs. 800 - A boat running upstream takes 20 minutes to cover a distance of 12 km, while it takes 22 minutes to cover a distance of 22 km in downstream. Find the speed of current.
10 km/hr.14 km/hr.12 km/hr.15 km/hr.17 km/hr.Option C

Upstream speed = 12/20 × 60 = 36 km/hr.

Downstream speed = 22/22 × 60 = 60 𝑘𝑚/ℎ𝑟

x -y = 36 …(i)

x + y = 60 …(ii)

from (i) & (ii)

y = 12 km/hr. - A circular road runs around a circular ground. If the radius of the ground is 3.5m and the difference between the circumference of the outer circle and that of the inner circle is 88 m, then the area of the road is:
920 𝑚^2819 𝑚^2888 𝑚^2900 𝑚^2924 𝑚^2Option E

Let the radius of the outer circle be R m.

And the radius of the inner circle be r m.

Then, according to the question 2𝜋𝑟 − 2𝜋𝑟 = 88

𝑜𝑟, 𝑅 − 𝑟 = (88 × 7)/(2 × 22) = 14

=> R = 14 + r = 14 + 3.5 = 17.5 m

Now, area of the road = π (17.5² – 3.5²) = 22/7 × 21 × 14 = 924 𝑚^2 - How many different 5 digits numbers can be made from the first 7 whole numbers, using each digit only once?
21212200216021102000Option C

Required number of 5 digit number = 6 × 6 × 5 × 4 × 3 = 2160