1. Which of the following numbers will replace the question mark (?) in the given series ?
2. Which two signs should be interchanged to make the given equation correct ?
\(13 \times 6 + 24 \div 6 - 17 = 91\)
3. Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
5 : 127 : : 9 : ? : : 7 : 247
4. Which of the following letter - cluster will replace the question mark (?) in the given series to make it logically complete ?
5. I a certain code language, 'BIND' is coded as '9214' and 'DRIB' is coded as '41909'. What is the coded for 'N' in the given code language ?
6. Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/Subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(50, 60, 2000)
(20, 30, 200)
7. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
3125 : 25 : : 1600 : 20 : : 675 : ?
8. A paper is folded and cut as shown below. How will it appear when unfolded?
9. Select the word - pair that best represents a similar relationship to the one expressed in the given pair of wards.
(The wards must be considered as meaningful English words and must not be related to each other based on the number of letters/numbers of consonants/vowels is in the word)
Horse : Foal
10. In a certain code language, 'TELEVISON' is written as 'UDMDWKQKMP' and 'PUNISHMENT' is written as 'QTOHTJKGLV'. How will 'HELICOPTER' be written in that language?
11. There of the following four letter - clusters are alike in a certain way and one is different.
Pick the odd one out.
DGJM
NQTW
TWZC
HIJK
12. Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
statements :
Some seeds are fruits.
Some fruits are jams.
All jams are desserts.
Conclusions:
I. Some jams are seeds.
II. Some desserts are jams.
III. Some fruits are desserts.
13. Select the option that represents the correct order of the given words as they would appear in an English dictionary.
- Circulate
- Circuit
- Citrus
- Cinnamon
- Circular
- Citizen
14. The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs, EXCEPT one. Find that odd number pair.
15. Mishka says she is looking for the only child of her brother's maternl grandmother. who is the looking for ?
16. 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. three different positions of the same dice are shown below. Find the number on the face opposite to the one showing '4'.
17. Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/substracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1
and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(3, 10, 26)
(4, 17, 42)
18. Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
19. Select the option that is related to the fifth letter - cluster in the same way as the second letter - cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter - cluster.
BET : UXM : : SYP : LRI : : HOX : ?
20. Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
21. Four letter -clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter - cluster.
22. Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
76 * 4 * 26 * 13 * 9 * 62
23. Which of the following interchanges of signs would make the given equation correct?
\(1000 - 448 + 14 \div 15 \times 2 = 998\)
24. Which two signs and two numbers should be interchanged in the following equation to make it correct ?
\(15 \div 80 - 34 + 10 \times 8 = 102\)
25. Select the set in which the numbers are related in the same way as are the numbers of the given set.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 81, 5)
(3, 144, 9
26. A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2 ?
27. There are two circles that touch each other externally. Radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.
28. In \(\Delta ABC\), DE || BC and \(\frac{AD}{DB} = \frac45\), If DE = 12 cm, find the length of BC.
29. If \(x^2 -8x - 1 = 0,\) what is the value of \(x^2 +\frac{1}{x^2}\) ?
30. In the given figure, O is the centre of the circle and \(\angle AOB =130^\circ\), Find \(\angle\) APB.
31. The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the product of the two given numbers?
32. Which of the following sets of lengths (in cm) will give three sides of an obtuse-angled triangle?
33. If \((x^2 +\frac{1}{x^2})=6\), and 0< x< 1, what is the value of \(x^4\ -\frac{1}{x^4}\) ?
34. A boat goes 20 km upstream and 44 km downstream in 8 hours. in 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.
35. 4 men's work is equal to 6 women's work, and 4 women's work is equal to 6 boys' work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together ?
36. A policemen saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief ?
37. If \(cos A + cos^2 A = 1\), then the value of \(sin^4 A + sin^6 A\) is
38. Find the value of the given expression.
\(1755 \div 39\times(8 - 28 \div 4) -2\)
39. If the slant height of a cone is 60 cm and the radius of its base is 21 cm, then find its curved surface area. (use \(\pi =\frac{22}{7})\)
40. A shopkeeper sells his goods by allowing 18% discount and still earns 30% profit. If he sells his goods by allowing 12% discount on the marked price, then what will be his profit percentage (correct to 2 decimal places)?
41. Which of the following is the least ?
12% of 625
15% of 555
10% of 720
9% of 845
42. Ravi initially used to save 20% of his monthly income. Recently his monthly income was raised by 25%. His nominal savings also went up by 5%. What percentage of his present nominal income does Ravi currently save?
43. If \(x =\frac{1}{x-3}\), (x > 0), then the value of \(x+\dfrac 1x \) is:
44. 10 women take 16 days to complete a work which can be completed by 6 men in 8 days. 12 men started working and after 2 days 6 men left, and 5 women joined them. In how many days will the work be completed
45. What is the present worth of Rs. 1,100 due in 2 years at 5% simple interest per annum ?
46. Find the value of \(\dfrac{\cos^2 15^\circ - sin^2 15^\circ}{\cos^2 145^\circ + sin^2 145^\circ}\)
47. Find the area of an equilateral triangle whose sides are 16 cm each.
48. When a number is divided by 45, the remainder is 21.what will be the remainder when the number is divided by 15?
49. Rajadhani Express trani of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standingn at the station. In what time will the Rajdhani Express cross the other train ?
50. The value of \(\dfrac23-\dfrac56\times\dfrac45\div\dfrac43+\dfrac12\) is :
51. Part 3 of the Indian Constitution enlists how many groups of Fundamental Rights?
52. What was the prime target of the first five-year plan of India?
53. Which of the following is the largest lake in India?
54. The first Paralympic games were held in :
55. Which of the following is NOT one of the scheduled public sector banks in India ?
56. When was a comprehensive despatch on education called Wood's despatch on education sent ?
57. Which was the first petrochemical company in India?
58. Padma Bhushan awardee, Alarmel Velli, who is renowned for Bharatanatyam, is also an exponent of which of the following dance forms ?
59. Which of the following can make provisions for Ancillary powers of the Supreme Court ?
60. Aruna Sairam, T M Krishna and Gayathri Girish are associated with which form of music ?
61. In which city were the Asian Wrestling Championships 2024 held?
62. Kathak is found in three distinct forms, called 'gharanas', named after the cities where the Kathak dance tradition evolved, Name those three cities.
63. In a particular trophi level, how is the standing crop measured ?
64. In the early nineteenth century, who demonstrated that there are fourteen space lattices, or regularly repeating arrangements of points in space, that differ in symmetry and geometry?
65. Aner, Panzara and Waghur are the tributaries of which river ?
66. Part 3 of the Indian Constitution enlists how many groups of Fundamental Rights?
67. Who has been appointed as the next Chief of the Indian Navy in April 2024 ?
68. Who is the chairman of DRDO ?
69. In 1808, whose work provided a physical picture of how comopunds are formed by the combination of two or more different types of atoms?
70. In which of the following animal phyla, is the body divided into head, thorax and abdomen?
71. Which state had the first female Governor in independent India ?
72. Deepika Pallikal is associated with_________.
73. Nor Westers are dreaded evening thunderstorms seen in______________.
74. Which of the following institutions was set up in 1982 in order to streamline credit facilities to farmers at a national level?
75. Bhortal dance is famous in_________.
76. Select the most appropriate idiomatic expression to fill in the blank.
Anita keeps on repeating that she is innocent, but there is ______________.
77. Select the option that expresses the given sentence in active voice.
Those four pages were torn by Jack.
78. Select the most appropriate ANTONYM of the underlined word.
We lived a very frugal life during our childhood.
79. Select the option that can be used as a one-word substitute for the given group of words.
80. Select the INCORRECTLY spelt word.
81. Select the most appropriate ANTONYM of the underlined word to fill in the blank.
While most friends persuaded him to choose the career, there were a few who_______ him from doing so.
82. Select the most appropriate option to fill in the blank.
Shakuntala Devi was born on 4th November 1929. In her childhood she ________to
school.
83. Parts of the following sentence have been given as options. Select the option that contains an error.
She is in an hurry to meet her brother.
84. Select the most appropriate option to fill in the blanks.
Soon after the doctor gave her the next_____ of the medicine, the patient began to______.
85. Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. In Catholic, Eastern Orthodox, Anglican, Oriental Orthodox and Lutheran teaching, all of their faithful departed in heaven are considered saints, although some are deemed deserving of more praise or emulation.
B. In religious belief, a saint is a person who is viewed as possessing an uncommon degree of holiness, similarity, or proximity to God.
C. The term saint, however, is used differently depending on the setting and denomination.
D. Some saints receive official ecclesiastical recognition and, as a result, a public cult of veneration through the process of canonisation in the Catholic Church or glorification in the Eastern Orthodox Church.
86. Select the most appropriate synonym of the highlighted word in the given sentence.
A strong man is a mediator between divine and mortal fate.
87. Select the most appropriate ANTONYM of the underlined word in the given sentence.
One may accomplish many things by a little effort.
88. Select the option that express the given sentence in passive voice.
The farmers are harvesting the crops.
89. Select the most appropriate option to substitute the underlined segment in the given sentence.
There is a charm on the midnight air which all cannot experience.
90. Select the most appropriate ANTONYM of the underlined word.
The professor's lectures are very conventional and so tedious.
91. Select the option that can substitute the underlined segment with the correct idiom.
After finishing this assignment, the employees make it a day.
92. Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Android began in 2003 as a project of the American technology company Android Inc., to develop an operating system for digital cameras.
B. In 2004, the project changed to become an operating system for smartphones.
C. Android is an operating system for cellular telephones and tablet computers.
D. In 2005, Android Inc. was bought by the American search engine company Google Inc. that transformed the OS into what it is today.
93. Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. India has an upbeat vision of a liberal, nonviolent, relatively pluralistic democracy with non-threatening global leadership.
B. Epics from mythologies like the Mahabharata and Ramayana are likened to classic Greek works like the Odyssey and Iliad and between 1 and 1000 AD, India was lauded as the ‘Golden Bird’ for its GDP, which was higher than China at the time.
C. Luminaries like Mahatma Gandhi and Rabindranath Tagore, as well as the arts of
literature, music, dance, the software industry, Ayurveda, etc., generate astaggering
array of soft power assets that highlight India's appeal to the world's population.
D. With Ashoka, Buddha, and Gandhi serving as the primary leaders, Indians are known for their core values of respect, harmony, and fraternity.
94. Comprehension :
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptian lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation.
Q. Select the most appropriate option to fill in blank no.1
95. Comprehension :
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptian lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation.
Q. Select the most appropriate option to fill in blank no.2
96. Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptian lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation.
Q. Select the most appropriate option to fill in blank no.3
97. Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptian lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation.
Q. Select the most appropriate option to fill in blank no.4
98. Comprehension
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We know infinitely (1)________ about the wealthy people of Egypt than we do about the ordinary people, as most monuments were made for the rich. Houses in which ordinary Egyptian lived have not been preserved, and when most people died they were (2)_______ in simple graves. Most of our traditional sources of information (3)_______ the Old Kingdom are monuments of the rich (4)_______ pyramids and tombs. Even papyri come mainly from pyramid temples. (5) ________ this does not mean that death was the Egyptians’ only preoccupation.
Q. Select the most appropriate option to fill in blank no. 5
99. Select the most appropriate meaning of the given idiom.
100. Select the most appropriate ANTONYM of the given word.