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Engineering eLitmus Set 2
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1. What is the perimeter of the rectangle ABCD when AD = 3 and BD = 5
12
14
16
18
2. If March 1 of a leap year fell three days after Friday, what day of the week will dawn on November 22?
Saturday
Sunday
Thursday
None of these
3. The radius of the pool in a South Delhi Club is twice the radius of the pool in a North Delhi Club. The area of the pool in South Delhi Club is how many times the area of pool in the North Delhi Club?
1 / 4
1/2
2
4
4. How is 1 / 2 % expressed as a decimal fraction?
0. 5
0. 05
0. 005
0. 0005
5. A circle is circumscribed around a square (shown in figure). The area of one of the four shaded portions is equal to 4 / 7. The radius of the circle is:
3
4
2
1
6. Find the next number in the series : 235, 346, 457¦¦
578
568
468
558
7. A sofaset carrying a sale-price ticket of Rs. 5,000 is sold at a discount of 4%, thereby the trader earns a profit of 20%. The trader's cost price of the sofaset is:
Rs. 4,200
Rs. 4,000
Rs. 3,600
Rs. 3,800
8. A man was traveling on a motorcycle at the speed of 50 km/h for 2 1 / 2 hours. Then a car full of youngster overtake him at a speed of 80 km/h. To overtake them he increased his speed to 70 km/h, but he could not overtake the car even after 2 1 / 2 hours. How far did he travel in the total time of 4 hours?
200 km
230 km
250 km
300 km
9. How is 3 / 4 expressed as percentage?
0.75%
60%
75%
7.5%
10. There are two urns, one containing two white balls and four black balls, the other containing three white balls and nine black balls. One ball each is drawn out of the two urns. What is the probability of getting two balls of the same colour?
7 / 12
1 / 24
1 / 12
1 / 2
11. The perimeter of a rectangle is 60 metres. If its length is twice its breadth, then its area is:
200 m2
180 m2
160 m2
220 m2
12. In a class there are two sections A and B. If 10 students of section B shift over to section A, the strength of A becomes three times the strength of B. But if 10 students shift over from A to B, both A and B become equal in strength. How many students are there in sections A and B?
50 and 30
45 and 15
90 and 40
80 and 40
13. Which of the following is the smallest?
15 / 16
16 / 6
7 / 8
11 / 12
14. A man spends a fixed amount per month on petrol. The trend with every hike in price of petrol is as follows: Rs./litre : 1.5 2 3 4.5 6 Litres : 60 45 30 20 ? What will be consumption when there price is Rs. 6 a litre?
12
15
18
13.5
15. The one rupee coin is placed on plain paper. How many coins of the same size can be placed round it so that each one touches the centre and adjacent coins?
4
3
7
6
16. The smallest number of 5 digits beginning with 3 and ending with 5 will be:
31005
30015
30005
30025
17. The first day of the year 1998 was Wednesday. If the birthday of Sucheta falls in 1998 was her birthday?
Wednesday
Thursday
Monday
Tuesday
18. Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?
Nitin
Sukhbir
Manoj
Data inadequate
19. If 'P' means '×', 'Q' means '÷' T means of and 'V' means +, then what will be the value of 85 Q 17 P 3 V ½ T 4 = ?
62
31
17
19
20. Early morning after sunrise, Rajesh was standing infront of his house in such a way that his shadow was falling exactly behind him. He starts walking straight and walks 5 metres. He turns to his left and walks 3 metres and again turning to his left walks 2 metres. Now in which direction is he from his starting point?
South
West
South-East
North-East
21. In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika?
16
17
15
Data inadequate
22. In a certain code language AUTHORITY is written as YTUROHTIA. How will DESIGNATE be written in that code language?
ESENGATDI
ESEGNITAD
ESENGITAD
ESNEIGTDA
23. Read the following letter-number sequence carefully and answer the question given below: 7 3 P N 4 2 6 3 1 M L B T 4 5 G A C D F J K 1 9 8 2 If the first fifteen elements of the above sequence is written in the reverse order which of the following elements will be sixth to the left of twelfth element from your right?
J
6
2
3
24. Read the following letter-number sequence carefully and answer the question given below: 7 3 P N 4 2 6 3 1 M L B T 4 5 G A C D F J K 1 9 8 2 Four of the following five are alike in a certain way and hence form a group. Which is the one that does not belong to that group?
GDK
7N6
B5C
AF9
25. Read the following letter-number sequence carefully and answer the question given below: 7 3 P N 4 2 6 3 1 M L B T 4 5 G A C D F J K 1 9 8 2 If we interchange the first and the seventh elements, the second and the eighth elements and so on upto 2 and B from your left, which of the following will be twelfth to left of eighth element from your right?
6
7
2
Data inadequate
26. If it is possible to make a meaningful word with second, the third, the sixth and the ninth letters of the word PSYCHOMETRIC using each letter only once, what will be the first letter of the word can be formed. If more than one word can be formed mark M as your answer and if no such word can be formed mark X as your answer.
X
M
R
T
27. If 'M S N' means 'M is the father of N', 'M ? N' means 'M is the sister of N' and 'M * N' means 'M is the brother of N' then what is the relation of C with A in A # B $ C * D?
Niece
Nephew
Aunt
Data inadequate
28. How many such pairs of letters are there in the word EXPRESSION which have as many letters between them in the word as in the alphabet?
Four
Five
Three
Two
29. Read the following information carefully and answer the questions given below: (i) There are five buildings “ A, B, C, D and E in a row facing towards East but not necessarily in the same order. Five other buildings “ P, Q, R and T are in another row facing towards West. The buildings in each row are arranged infront of one another. (ii) B is at one of the end. There is only C between B and D. A is to the immediate left of D. (iii) R is just opposite to C and is between P and Q. S is to the immediate right of P. Which of the following pairs is at both the ends in any of the two rows?
B and A
Q and S
P and T
B and E
30. Read the following information carefully and answer the questions given below: (i) There are five buildings “ A, B, C, D and E in a row facing towards East but not necessarily in the same order. Five other buildings “ P, Q, R and T are in another row facing towards West. The buildings in each row are arranged infront of one another. (ii) B is at one of the end. There is only C between B and D. A is to the immediate left of D. (iii) R is just opposite to C and is between P and Q. S is to the immediate right of P. A is in front of which of the following buildings?
S
P
T
Q
31. Read the following information carefully and answer the questions given below: (i) There are five buildings “ A, B, C, D and E in a row facing towards East but not necessarily in the same order. Five other buildings “ P, Q, R and T are in another row facing towards West. The buildings in each row are arranged infront of one another. (ii) B is at one of the end. There is only C between B and D. A is to the immediate left of D. (iii) R is just opposite to C and is between P and Q. S is to the immediate right of P. Which of the following buildings?
S
R
T
None of These
32. Some stones are rocks and "Some rocks are clouds. If both the statements are true, then which of the following statements is DEFINITELY TRUE?
Some clouds are stones
All clouds are rocks
No rock is stone
None of These
33. It is given that M is either greater than or equal to P. P is smaller than Q and Q is not greater than R. Which of the following is DEFINITELY TRUE?
M is either greater than or equal to R
M is either greater than or equal to R
R is greater than P
R is either greater than or equal to P.
34. The students of a class are divided into two groups-A and B. If Sangita is included in the group A then her rank is 7th from the top and if she in included in the group B, her rank is 13th from the top. If the students of both groups are brought together, what will be the rank of Sangita?
20
19
21
Data inadequate
35. In a certain code language "Jo re ka means "sweet nice sugar, "la fi de means "tasty sour lemon, "fi ka tip means "sugar and lemon and "la re means "nice tasty. How will "sweet and sour be written in that code language?
Data inadequate
jo re ka
la re ka
None of These
36. Read the following information carefully and answer the questions given below: Five flats “ A, B, C, D, E. which are at equi-distance, are arranged in a semi-circle but not necessarily in the same order. The middle falt B faces towards North-East and is immediate right to D while C is to the immediate right of B. D faces which direction?
North
North-East
East
West
37. Read the following information carefully and answer the questions given below: Five flats “ A, B, C, D, E. which are at equi-distance, are arranged in a semi-circle but not necessarily in the same order. The middle falt B faces towards North-East and is immediate right to D while C is to the immediate right of B. What should come in the place of question mark (?) in the following letter series? ADG CFI ? QJM
EGJ
EHK
DFI
DCH
38. Read the following information carefully and answer the questions given below: In order or organize a competition, 26 students were divided into four groups a, b, c and d. If such groups are formed by selecting one students from each group, then how many such groups are possible?
Seven
Six
Four
Five
39. What value should come in place of question mark (?) in the following questions? 52 × 87 “ 5000 = ?
4000
4124
3924
4024
40. What value should come in place of question mark (?) in the following questions? 2.56 ×(13)2 = ?
270.4
432.64
26.14
None of these
41. The angles of a quadrilateral are in the ratio of 1 : 4 : 2 : 3. The angles are respectively :
180: 720: 360: 540
720: 2280: 1440: 2160
720: 2280: 1440: 2160
None of the above
42. There are 10 pairs of socks in a cupboard from which 4 individual socks are picked at random. The probability that there is at least one pair is:
195/323
99/323
198/323
185/323
43. If 2x + 3y = 10 and y < 4, then
x &gt; -1
x &lt; -1
x &gt; 0
x &lt; 0
44. Ram started his journey at 9.00 a.m. at 8 km/hour. Hamid started from the same spot in the same direction at 9.30 a.m. at 10 km/hour. Hamid overtakes Ram at :
11.00 a.m.
12.30 p.m
12.00 noon
12.00 noon
45. The given diagram shows the population of a town. If the total population of the town is 7,20,000 then the number of animals in the town is :
30,000
40,000
50,000
60,000
46. What least number must be subtracted from each of the numbers 17, 17, 34, 42 so that the ratio of first two is the same as the ratio of the next two?
0
1
2
7
47. A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is :
4 metres
5 metres
6 metres
7 metres
48. A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is :
4 metres
5 metres
6 metres
7 metres
49. A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is :
20,000
24,000
30,000
34,000
50. In three annual examinations, of which the aggregate marks of each was 500, a student secured average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 60% average total marks, it is necessary for him in third yearly examination to secure marks :
300
350
400
450
51. If RUNNER is coded by SUMMER, the code for WINTER will be :
XIMSER
VINTER
SINVER
VIOUER
52. P is 300 kms eastward of O and Q is 400 kms north of O. R is exactly in the middle of Q and P. The distance between Q and R is :
300 kms
300 kms
250 kms
250v2 kms
53. A man borrows Rs. 1200.00 from a bank for a period of 3 months. He finds that he has to repay Rs. 1236.00. The bank rate of interest is:
3%
6%
12%
24%
54. In climbing a round pole of 80 metres height, a monkey climbs 5 metres in a minute and slips 2 metres in the alternate minute. To get to the top of the pole, the monkey would take :
51 minutes
54 minutes
58 minutes
61 minutes
55. A man travels by a car for 3 days. He traveled 10 hours each day. He drove on the first day at 45 km/hr, second day at 40 km/hr and third day at 20 km/hr. His average speed was :
30 km/hr
5 km/hr
38 km/hr
40 km/hr
56. A man works for 2 days and then rests for one day, then works for 2 days and rests for one day and so on. For everyday he works, he earns Rs. 100. How much will he earn from Monday to Saturday?
Rs. 200
Rs. 300
Rs. 400
Rs. 500
57. A rectangular plot of lawn of length and width respectively x and y metres is surrounded by a pathway of 2 metres width. The total area of pathway is :
2x + 2y + 4
2x + 2y + 8
4x + 4y + 8
4x + 4y + 16
58. How many triangles are there in the given figure?
10
16
12
8
59. Unscramble the letters of words and find odd one out.
TLAES
KOBO
PPREA
None of these
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