1. A sum of money is efficient to pay Ajay’s wages for 16 days and Dinesh wages for 24 days. The same money is sufficient to pay the wages of both for ?

a.9.6 days
b.10 days
c.11.4 days
d.8 days
e.7 days

2. A work can be finished by 6 boys in 8 days while 4 girls can complete the same work in 12 days. All the boys and girls in their respective groups are equally efficient. Find the ratio of number of days required to complete the work by 2 boys and 2 girls respectively ?

a.2:1
b.2:3
c.5:4
d.1:1
e.None of these

3. Tap A can fill 2 litre of water in 6 minutes and tap B can empty a tank in double the time tap A take to fill it. They both are opened up when the
tank is empty and the tanks get filled in 50 hours. What is the volume of
tank ?

a.450
b.500
c.800
d.750
e.600

4. Ashutosh walking at a speed of 24 km/hr reaches his school 40 minute late. Next time, he increases his speed by 3 km/hr but still he is late by 20 minute. Find the distance of the school from his home ?

a.56
b.64
c.72
d.80
e.88

If Ajay has 3 types of bats in a ratio of 4:5:6 such that their LCM is 300,
then find the sum between the highest and lowest number of bats that he has ?

a.30
b.70
c.40
d.60
e.50

Subhash invested some amount of money in Bank of Baroda at Simple
interest at a certain rate of interest per annum for 4 years. If the value of rate percent per annum was 5 less, interest would have been Rs 480 less. What is the sum of money ?
a.3200
b.2800
c.2400
d.2000
e.1600

A certain amount of money earns Rs 900 as SI in 3 years. If it earns a CI of Rs 630 at the same rate of interest in 2 years. Find the amount ?

a.1500
b.3000
c.2000
d.4500
e.2500

A circular wire of radius 35cm is bent in the form of a rectangle whose side are in the ratio of 7:4. The larger side of the rectangle is ?

a.56
b.63
c.40
d.70
e.77

Out of the four numbers the average of the first three is 15 and that of
last three is 14. If the last number is 14, then the first number is ?

a.19
b.17
c.15
d.13
e.11

Average of “n” numbers is 40. When two numbers 83 and 67 are removed, then the average becomes 35. What is the value of “n” ?

a.20
b.18
c.16
d.15
e.14

The ratio of ages of two cousins Bobby and Sunny after 5 years is 5:6. After 11 years, the age of Bobby will be 87.5% of that of Sunny’s age. Find the sum of their present age ?

a.23
b.43
c.33
d.53
e.13

1. I.𝒙𝟐 − 𝟑𝟗𝒙 + 𝟑𝟕𝟖 = 𝟎
II.𝒚𝟐 − 𝟐𝟒𝒚 + 𝟏𝟎𝟖 = 𝟎

a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

2. I.𝒙𝟐 + 𝟏𝟏𝒙 − 𝟏𝟓𝟐 = 𝟎
II.𝒚𝟐 − 𝟐𝟕𝒚 + 𝟏𝟓𝟐 = 𝟎

a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

3. I.𝒙𝟐 = 𝟐𝟏𝟏𝟔
II.𝒚 = √𝟐𝟒𝟎𝟏

a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

4. I.𝒙𝟐 − 𝟑𝟕𝒙 + 𝟑𝟑𝟔 = 𝟎
II.𝒚𝟐 − 𝟐𝟎𝒚 + 𝟔𝟒 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

5. I.𝒙𝟐 − 𝟐𝟐𝒙 + 𝟖𝟓 = 𝟎
II.𝒚 𝟐 + 𝟑. 𝟔𝒚 + 𝟏. 𝟖 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

6. I.𝟖𝒙𝟐 + 𝟐𝟎𝒙 + 𝟏𝟐 = 𝟎
II.𝟒𝒚𝟐 + 𝟐𝟕𝒚 + 𝟏𝟖 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

7. I.𝒙𝟐 + 𝟑𝟏𝒙 + 𝟐𝟒𝟎 = 𝟎
II.𝒚𝟐 − 𝟒𝟏𝒚 + 𝟏𝟖𝟎 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

8. I.𝒙𝟐 + 𝟖√𝟑𝒙 + 𝟒𝟓 = 𝟎
II.𝒚𝟐 + 𝟐√𝟑𝒚 − 𝟒𝟓 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

9. I.𝒙𝟐 + 𝟒𝟔𝒙 + 𝟓𝟐𝟖 = 𝟎
II.𝒚𝟐 − 𝒚 − 𝟒𝟐𝟎 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

10.I.𝒙𝟐 − 𝟑. 𝟒𝒙 + 𝟐. 𝟖 = 𝟎
II.𝟏𝟐𝒚𝟐 = 𝟑𝟑𝟕𝟓 − 𝟑𝒚𝟐


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝