SECTION TEST 1

1. Find the last two digits of the expression 7324⁵⁴⁶⁷?

1. 24

2. 76

3. 36

4. 74

2. A given two digit number is added to another two digit number obtained by reversing thedigits of the given number (both should be two digits), the sum so obtained is a perfect square. How many such two digit numbers are possible.

1. 4

2. 6

3. 8

4. 10

3. Find the number of zeroes at the end of the expression

1³⁰ x 2²⁹ x 3²⁸ x …… x 28³ x 29² x 30¹

1. 77

2. 83

3. 87

4. 95

4. In a school, the number of female students are F such that 60%<65%

number of students in the class. What can be the minimum number of female students in the class?

1. 5

2. 8

3.17

4. 31

5. Vessel A contains milk and Vessel B contains water. Initially milk in Vessel A and waterIn Vessel B is in ratio 2 : 3. 20% of the volume of the vessel A is poured in Vessel B and then half of the final volume of Vessel B is poured in Vessel A. The process repeated again. Find the ratio of water in Vessel A to Vessel B?

1. 3 : 7

2. 7 : 3

3. 7 : 43

4. 43 : 7

6. If a = 2009, b = 2010 & c = 2011, then find the value of a³ + b³ + c³ – 3abc?

1. 12,090

2. 18,090

3. 15,190

4. 16,090

7. A can built a wall in 20 days, B can built it in 25 days, C can destroyed the complete wall in 40 days. They stars work in alternate days in such a way that, A start the work, followed by B next day, then by C next day, then by A next day and so on. How many ways it will take to complete the wall at first time?

1. 44.5 days

2. 45 days

3. 44 days

4. 45.5 days

8. The average age of A, B & C is 82 years, the average age of A, B & D is 79 years,

the average age of A, C & D is 83 years and the average age of D, B & C is 81 years.

Who among the A, B, C & D is the eldest?

(1) A

(2) B

(3) C

(4) 4

9. Ram, Sham and Mohan travel from Chandigarh to Amritsar. They have a single Bi-Cycle which is only drive by Mohan and only two persons sit at it at a time. The distance between Chandigarh and Amritsar is 240 Km and all of them can walk at a speed of 12 kmph but to reach Amritsar simultaneously also they started their journey simultaneously. (Ram took one among them and the second one walked. Left the first one at any point and return to pick the another one). If the speed of the Bi-cycle is 48mph, them find the total distance that Bi-cycle travel?

1. 336 km

2. 360 km

3. 320 km

4. 400 km

10. Ran while diametrically across a semicircular playground takes 5 minutes less than if he walked round the circular path. If he walks 100 m in 1 minute, what is the diameter of the playground.

1. 500m

2. 525 m

3. 625 m

4. 475 m

11. Find the sum of the infinite series

11 . 4 + 14 .7 + 17 . 10 + 110 . 13 + ……. ∞

1. 1/3

2. 1

3. ½

4. 2/3

12. Find the number of real roots of the equation (x – 6)² + (x – 7)² + (x – 8)² = 0

1. 0

2. 1

3. 2

4. 3

13.For what value of k, then difference between the roots of the equation x² + kx + 8 = 0 is 2?

1. ±2

2. ±4

3. ±6

4. ±8

Direction (14 – 15):- Questions are followed by two statements as (I) and (II). You have to decide if these statements are sufficient to conclude the answer of the question.

Choose

(1) If statement (I) alone is sufficient to give the answer of the question but statement (II) is not

Sufficient or VICE- VERSA

(2) If Statement (I) & statement (II) together sufficient but neither of the two alone is sufficient

to answer the question.

(3) If either statement (I) or statement (II) alone is sufficient to answer the question

(4) Both statements are not sufficient to answer the question.

14. What is the maximum value of (a/b)?

(I) a, a + b and a + 2b are three sides of a triangle

(II) a and b both are positive

15. Five integers A, B, C, D and E are arranged in such a way that there are two integers between B and C and B is not the greatest. There exists one integer between D and E and D is smaller than E. a is not the smallest integer. Which one is the smallest?

(I) E is the greatest integer

(II) There exists no integer between B and E.