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SoCS - Aptitude Assessment - 2024 Batch

Total questions: 44

Worksheet time: 44mins

Name
Class
Date
1.
Name of the Student with Initial
4 lines
2.
Email ID
4 lines
3.
Reg No
4 lines
4.
Department
a)
BSC CS
b)
BSC CS DA
c)
BSC IT
5.
1. There are three classes. Each class has 36, 42, and 54 students respectively. The Principal wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students The Principal can put into each group?
a)
5
b)
6
c)
10
d)
12
6.
2. How many keystrokes are needed to type numbers from 1 to 500?
a)
2700
b)
2800
c)
1392
d)
1582
7.
3. Priya earns a profit of 50% in one deal but incurs a loss of 50% in the second while selling 2 e-bikes for Rs. 4000 each. Find his total profit or loss in both deals together.
a)
Profit = 25%
b)
Loss = 18%
c)
Profit = 9%
d)
Loss = 25%
8.
4. A sum of money at compound interest amounts to Rs. 5,580 in 2 years and to Rs. 6,176 in 3 years. The rate of interest per annum is. (approx)
a)
25%
b)
10%
c)
9%
d)
12 %
9.
5. A train leaves Pune at 9 a.m. at a speed of 40 kmph. Another train leaves at 2 p.m. at a speed of 50 kmph on the same day and in the same direction. How far from Pune, will the two trains meet?
a)
1000 km
b)
400 km
c)
600 km
d)
None
10.
6. A and B can do a bit of work in 6 days. B and C can do it in 9 days while C and A can do it in 12 days. In how long will they complete it cooperating?
a)
20 DAYS
b)
15 days
c)
6 days
d)
10 days
11.
7. A cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
a)
12 hrs
b)
28 hrs
c)
36 hrs
d)
40 hrs
12.
8. A person can swim in still water at 6 km/h. If the speed of water is 4 km/h, how many hours will the man take to swim back against the current for 8km?
a)
3
b)
4
c)
4.5
d)
Insufficient data
13.
9. A shooting game is given to three friends whose chances of shooting it are 1/4, 1/5, and 1/6 respectively. What is the probability that the problem will be solved?
a)
1/4
b)
½
c)
3/4
d)
7/12
14.
10. How many 3-digit numbers can be formed using the digits (1, 2, 3, 4, 5) when repetition of digits is not allowed?
a)
100
b)
20
c)
40
d)
60
15.
11. Find the length of the longest pole that can be placed in a room 7 m long, 8m broad and 9 m high.
a)
14 m
b)
17 m
c)
18 m
d)
19 m
16.
12. In a bag of strawberries, 20% of them are rotten and 40 are in good condition. Find the total number of strawberries in the bag.
a)
60
b)
70
c)
50 m
d)
80
17.
13. The total of the ages of A,B,C is 108 years. Ten years ago, the respective ratio of their ages was 2 : 3 : 1 . What is the present age of A+ C?
a)
56 years
b)
100 years
c)
78 years
d)
38 years
18.
14. If angles P and Q are complementary to one another, and angle P is two times of angle Q. Calculate the measure of angle Q.
a)
60
b)
70
c)
50
d)
80
19.
15. The ratio of the present ages Aravind and Priya is 3:5. After 6 years, the ratio will become 5:7. Find the age of Aravind.
a)
12
b)
15
c)
20 m
d)
9
20.
16. (25^2)6.5 × 25^12.25 = 25^30–?
a)
4.50
b)
4.75
c)
15.25
d)
3
21.
17. x^2 + 15x + 56 =0 Y^2+16y+52 =0
a)
If x > y
b)
If x ≥ y
c)
If x < y
d)
If x = y or no relation can be established between ‘x’ and ‘y’.
22.
18. A man arranges to pay off a debt of Rs 4500 in 50 annual installments which form an arithmetic series. When 40 of the installments are paid, he dies leaving one-third of the debt unpaid, and finds the value of the first installment.
a)
33
b)
30
c)
20
d)
15
23.
19. Statement: X≥Y>ZC ; B < O Conclusions: (a) X>B (b) X>O
a)
b follows
b)
a follows
c)
Neither a nor b follows
d)
Both a and b follow
24.
20. A Man is moving at uniform speed towards a tower. It takes 15 minutes for the angle of depression from the top of the tower to the man to change from 30 degrees to 60 degrees. What time after this, the man will reach the base of the tower?
a)
6 min
b)
6.5 min
c)
7 min
d)
7.5 min
25.
21. A man when asked how many hens and buffaloes he has told that his animals have 120 eyes and 200 legs. How many hens have he?
a)
20
b)
40
c)
30
d)
10
26.
22. Imagine that your watch was correct at noon, but then it began to lose 15 minutes each hour. It now shows 3 pm, but it stopped 5 hours ago. What is the correct time now ?
a)
9.30 pm
b)
8 pm
c)
1 am
d)
1.30 am
27.
23. on the day 26th December 2004, tsunami breached the coastal areas of south-india. What is that day ?
a)
Thursday
b)
Friday
c)
Saturday
d)
Sunday
28.
24. A man is facing NORTH-WEST. He turns 90 degrees in clockwise direction and then 135 degrees in the anticlockwise direction and again 180 degree in clock wise direction. Which direction is he facing now?
a)
EAST
b)
WEST
c)
NORTH
d)
SOUTH
29.
25. Statements: No guava is a cat. All cat are oranges. All oranges are mangoes. Conclusions: I. All cat are mangoes. II. At least some mangoes are oranges.
a)
Neither I nor II follows
b)
Only I follows
c)
Either I or II follows
d)
Both I and II follow
30.
26. Statement: Prabodh wrote a second letters to his mother after a month as he did not receive any reply to the first letter. Assumptions: I.Prabodh‟s mother did not receive the letter. II.The letter generally reaches within a fortnight. III.His mother promptly sends a reply to his letters.
a)
Only II and III
b)
Only III
c)
Only I and III
d)
None of these
31.
27. Statements: Should students be banned from carrying mobile phones in college campuses? Arguments: I. No mobile phone has become essential for an individual and one needs to keep it all day. II. Yes, mobile phones distract students from sports.
a)
If only argument I is “strong”.
b)
If only argument II is “strong”.
c)
If either I or II is “strong”.
d)
If neither I nor II is “strong”.
32.
28. Statement : The use of non conventional sources of energy will eliminate the energy crisis in the world. Conclusions : I. Modern technology is gradually replacing the conventional sources of energy. II. The use of solar is a very cheap one to use.
a)
if only conclusion I follows
b)
if only conclusion II follows
c)
if either I and II follows
d)
if neither I nor II follows
33.
29. Seven persons A, B, C, D, E, F and G are sitting in a row. A is sitting in the middle position. B and C are opposite sides of A and there is no person to the right of E. There is only one person between E and F. D is at the extreme corner of the row and adjacent to B. What is the position of G?
a)
Third to the left of E
b)
Exactly between A and B
c)
Exactly to the right of A
d)
Between G and F
34.
30. Solve for x : logx4 + logx16 + logx64 + logx256 = 10
a)
1
b)
2
c)
3
d)
4
35.
31. The remainder when 6^32 is divided by 215 is
a)
0
b)
1
c)
36
d)
215
36.
32. Let N = 679 × 680 × 681. What is the remainder when N is divided by 11?
a)
0
b)
5
c)
3
d)
6
37.
33. A traffic light flashes 4 times per minute and a green light flashes 6 times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in 2 hours?
a)
30
b)
180
c)
120
d)
60
38.
34. mango contains 70% water by weight while dried mango contains 20% water by weight and the remaining proportion is pulp. What is the weight of dry mango available from 20 kg of fresh grapes?
a)
2 kg
b)
7.4 kg
c)
7.5 kg
d)
None of these
39.
35. A tin of beer contains 4/5 of C2H5OH and the rest is water. How much of the mixture must be taken away and substituted by an equal quantity of water so as to have half C2H5OH and half water?
a)
3/8
b)
1/2
c)
4/7
d)
2/3
40.
36. A man covered a total distance of 676 km in 30 hr, partly in a taxi at 16 km/hr and partly in a bus at 24 km/hr. The distance covered by the bus is approx..
a)
770 km
b)
640 km
c)
720 km
d)
588 km
41.
37. Last year, the average age of the class of 28 students was 15 years. If the age of the class teacher was included, the new average of the class became 16 years. Exactly a year later (i.e. this year), the class teacher leaves the school and if the age of the new class teacher is included, then the new average of the class this year becomes 17 years. Find the age of the new class teacher.
a)
27
b)
41
c)
45
d)
67
42.
38. The present age of Preeti is 1.5 times the present age of Krishna. After 7 years Krishna’s age will be 4 times Diana’s present age. If Diana celebrated his 9th birthday 4 years ago, then what will be the present age (in years) of Preeti?
a)
82
b)
78
c)
72
d)
84
43.
39. A started a business with 25,000. After 2 months B joined him with 40, 000. C joined them after some more time with 70,000. At the end of the year, out of a total profit of 200000, C gets 75000 as his share. How many months after B joined the business did C join?
a)
3.5 months
b)
5 months
c)
6 months
d)
6.5 months
44.
40. If 2^x.2^y = 16 , 4^x/4^y = 64 . then which of the following is true?
a)
x + y = 5
b)
xy = 1
c)
x-y = 2
d)
x+y = 4