**Directions(1-5):** What will come in place of question mark “?” in the following questions.

- 350% of ? ÷50+248=591
35804000490051004250Option C

350% of ? ÷50+248=591 350 × ?/100 × 1/50 = 343

=>? = 4900 - 25 × 3.25 + 50.4 ÷ 24 = ?
85.5477.2372.4483.3580.12Option D

25 × 3.25 + 50.4 ÷ 24 = ?

=>? = 81.25+2.1 = 83.35 - [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
6.35.92.53.84.4Option E

[(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5

=> 434 ÷ 16 – 5.125 = ? × 5

=> 27.125 – 5.125 = ? × 5

=> 22 = ? × 5

=>? = 22/5 = 4.4 - (? )^2 + (65)^2 = (160)^2 − (90)^2 – 7197
7278606681Option B

(? )^2 + (65)^2 = (160)^2 − (90)^2 − 7191

=> (? )^ 2 = (160)^2 − (90)^2 − 7191 − (65)^2

=> (? )^2 = 25600 − (8100 + 7191 + 4225)

=> (? )^2 = 25600 − 19516 => (? )^2 = 6084

=> (? ) = √6084 = 78 - 423.62 – 269.21 ÷ (11.9% of 78) = ?
395333447400425Option A

423.62 – 269.21 ÷ (11.9% of 78) = ?

=> 425 – 270 ÷ (12% of 80) = ?

=>425 − 270 ÷ ( 12 × 80 100 ) = ?

=>? = 425 – 270 ÷ 10

=> ? = 425 – 27

=> ? = 398 == 395 - A man bought a piece of land for Rs. 72000. He sold 1/3 of the part at 20% loss and 2/3 of the remaining at 25% profit. At what rate should he sell the remaining portion to earn a 20% profit on the whole land ?
Rs. 32,200Rs. 30,000Rs. 25,000Rs. 22,200Rs. 27,200Option E

Let he sells the remaining part for Rs. x.

1/3 × 80/100 × 72000 + 2/3 × 2/3 × 125/100 × 72000 + 𝑥 = 120/100 × 72000

=> x = 86400 – 59200

=> x = Rs. 27,200 - Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
2:53:45:84:57:9Option E

By rule of alligation,

A====B

5/7=====7/13

Mean Price

8/13

Mixture from Vessel A : Mixture from Vessel B

= 1/13:9/91 = 7:9 - Tap ‘A’ can fill the tank completely in 6 hrs while tap ‘B’ can empty it by 12 hrs. By mistake, the person forgot to close the tap ‘B’, As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap ‘B’. In how much time now onwards, would the tank be full?
2 hours4 hours3hours5 hours6 hoursOption B

In one hour, Tank A and B together can effectively fill (1/6−1/12) = 1/12 of the tank

=> In 4 hours Tank A and B can effectively fill = 1/12×4 = 1/3 of the tank.

Time taken to fill the remaining (1−1/3) = 2/3 of the tank

= (2/3)/(1/6) = 4 hours - Abhishek took a loan at simple interest rate of 6% in the year with an increase of 0.5% in each subsequent year. He paid interest of Rs. 6125 after 5 year. How much loan did he take?
Rs. 11700Rs. 20000Rs. 12500Rs. 17500Rs. 11000Option D

Total interest = Rs. 6125

Rate = 6% and increasing by 0.5% every year

Let total Loan Amount = P

P = [6125 × 100]/[ 6 × 1 + 6.5 × 1 + 7 × 1 + 7.5 × 1 + 8 × 1] = 612500/35

= Rs. 17500 - From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. In how many ways can the committee be formed if two of the men refuses to serve together?
800725896850757Option C

Number of ways in which a committee can be formed if two of the men refuses to serve together

= 4C3 × 8C3 + 2C1 × 4C2 × 8C3

= 56×16 = 896