# Night Class: Quant Quiz

**1. Anil and Deepak started a business by investing Rs. 24000 and Rs. 36000 respectively. At the end of 5th month from the start of the business, Sohan joined them with Rs. 16000. At the end of 7th month Deepak quits, at that time Sohan invests Rs. 4000 more. At the end of 10th month, Deepak rejoins with the same investment. If the profit at the end of the year is Rs. 26164, what is Deepak's share of profit?**

1) Rs. 10894

2) Rs. 10394

3) Rs. 10000

4) Rs. 11394

5) Rs. 11000

**2. The circumference of the two circles is 352 cm and 264 cm respectively. What is the difference between the area of the larger circle and the smaller circle?**

1) 4032 cm^2

2) 4332 cm^2

3) 4312 cm^2

4) 4123 cm^2

5) 4132 cm^2

**3. The price of sugar is increased by 28%. Therefore a family reduces its consumption so that the increment in the expenditure of sugar is only 20%. If the consumption of sugar is 15 kg before the increment, what is the consumption now?**

1) 15 1/16 kg

2) 14 1/16 kg

3) 14 3/16 kg

4) 14 1/18 kg

5) 15 1/8 kg

**4. One–third of Radha's savings in National Savings Certificate is equal to one–half of her savings in Public Provident Fund. If she has Rs. 150000 as total savings, how much has she saved in Public Provident Fund?**

1) Rs. 60,000

2) Rs. 75,000

3) Rs. 80,000

4) Rs. 90,000

5) Rs. 85,000

**5. The number obtained by interchanging the digits of a two-digit number is less than the original number by 54 if the digit at the unit place of the original number is one–third of the digit at ten's place. What is the original number?**

1) 31

2) 93

3) 62

4) 26

5) 39

**6. The present age of Raju and his father are in the ratio of 2 : 5. Four years hence, the ratio of their ages will become 5 : 11. What was the father's age five years ago?**

1) 35 years

2) 40 years

3) 36 years

4) 38 years

5) 42 years

**7. Manoj sold an article for Rs. 15,000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price?**

1) Rs. 11,500

2) Rs. 11,000

3) Rs. 12,000

4) Rs. 13,000

5) Rs. 12,500

**8. Two men or three women alone can complete a piece of work in 4 days. In how many days can one woman and one man together complete the same piece of work?**

1) 20/3 days

2) 23/5 days

3) 8 days

4) 24/5 days

5) 10 days

**9. A basket contains 2 white bands, 3 green bands and 5 blue bands. In how many ways can three bands be drawn from the basket, if at least one green band is to be included in the drawn?**

1) 95

2) 84

3) 85

4) 80

5) 65

**10. A card is drawn from a pack of 52 cards. The probability of getting a king of a club or a queen of heart is**

1) 3/26

2) 1/13

3) 2/13

4) 1/26

5) 1/52

**Answers:**

1. 4;

Ratio of profit Anil, Deepak and Sohan

= 24000 × 12 : 36000 × 7 + 36000 × 2 : 7 × 16000 + 4000

× 5

= 288 : 324 : 132

= 72 : 81 : 33

= 24 : 27 : 11

Deepak’s share of profit = 27/62 * 26164 = Rs. 11,394

2. 3;

r1 = 264 * 7/44 = 42cm

r2 = 352 * 7/44 = 56cm

Reqd difference = 22/7[(56)^2 - (42)^2]

= 22/7 * 98 * 14 = 4312

3. 2; Let the price of sugar before increase be ` x

Consumption = 15 kg

Expenditure on sugar = 15x

After increase

Expenditure on sugar = 120% of 15x = 18x

Price of sugar = 128% of x = 32x/25 per kg

New Consumption = 18x*25/32x = 14 1/16kg

4. Let Radha's savings in National Savings Certificate be x.

Then, according to the question,

x/3 = 1/2(150000 – x)

2x = 450000 – 3x

x = Rs. 90,000

Saving in Public Provided Fund

= 1, 50,000 – 90,000 = Rs. 60,000

5. 2;

Let the two-digit number be 10x + y

Numbers obtained by interchanging the digits = 10y + x

According to the question,

10x + y – (10y + x) = 54

9x – 9y = 54 x –y = 6 ... (i)

Again, y = x/3

3y = x

From (i) and (ii)

y = 3 and x = 9

Required number is 93

6. 1; Let the present age of Raju and his father be 2x and

5x respectively.

Hence, (2x + 4)/(5x + 4) = 5/11

22x + 44 = 25x + 20

3x = 24

x = 8

3x = 24

x = 8

Father’s age 5 years ago = 5 × 8 – 5 = 35 years

7. 5

SP = Rs. 15000

If Manoj offered a discount of 10% then the new SP

= 15000 – 1500 = Rs. 13500

CP = 13500 * 100/108 = 12500

8. 4

2M = 3W

1M = 3/2W

1M + 1W = 3/2W + 1W = 5/2W

M1D1 = M2D2

3 * 4 = 5/2 * D2

D2 = 12 * 2/5 = 24/5 days

9. 3

Required number of ways

= (3C1 * 7C2) + (3C2 * 7C2) + 3C3

= (3!/2! * 7!/2!5!) + (3!!/2! * 7!/6!) + 1

(3 * 7 * 3) + (3 * 7) + 1

= 63 + 21 + 1 = 85

10. 4

Let E = Getting a king of club or queen of heart n(2) = 2

Required probablity = 2/52 = 1/26