1.
[17.98 ÷ 6.2] + [1.25 ÷ 0.5] – [0.96 ÷ 0.8] = ?
Correct Answer
A. 4.2
2.
The age of Sitamma 10 years ago was thrice the age of Radha. 10 years hence, Sitamma’s age will be twice that of Radha. What is the ratio of their present age?
Correct Answer
A. 7:3
Explanation
Sitamma's age 10 years ago was 3 times Radha's age. Let's assume Sitamma's age 10 years ago was 3x and Radha's age 10 years ago was x.
After 10 years, Sitamma's age will be 3x + 10 and Radha's age will be x + 10.
According to the given information, Sitamma's age 10 years hence will be twice that of Radha's age. So, we have the equation 3x + 10 = 2(x + 10).
Solving this equation, we get x = 10.
Therefore, the ratio of their present age is 3x: x = 30:10 = 3:1.
Hence, the correct answer is 3:1.
3.
12 + 21 + 22 – 41 = ?3332
Correct Answer
C.
2
1
6
4.
What value should come in place of question mark.
67. 436 × 17 × 3 ÷ 32 = ?
Correct Answer
B. 694.876
Explanation
To find the value that should come in place of the question mark, we need to solve the given expression. First, we multiply 436 by 17, which gives us 7412. Then, we multiply 7412 by 3, resulting in 22236. Finally, we divide 22236 by 32, which equals 694.875. Therefore, the value that should come in place of the question mark is 694.875. However, since the answer choices are rounded to three decimal places, the closest option is 694.876.
5.
The average attendance of a college for the first three days of a week is 325 and first four days is 320. How many were present on the fourth day?
Correct Answer
D. 305
Explanation
The average attendance for the first three days of the week is 325, and the average attendance for the first four days is 320. This means that the total attendance for the first three days is 325 multiplied by 3, which is 975. The total attendance for the first four days is 320 multiplied by 4, which is 1280. To find the attendance on the fourth day, we can subtract the total attendance for the first three days (975) from the total attendance for the first four days (1280). Therefore, the attendance on the fourth day is 1280 - 975, which is equal to 305.
6.
What value should come in place of question mark.
(1694 ÷ 11) + (2568 ÷ 8) – (534 ÷ 6 ) = ?
Correct Answer
C. 386
Explanation
The given expression involves three divisions. The first division is 1694 divided by 11, which equals 154. The second division is 2568 divided by 8, which equals 321. The third division is 534 divided by 6, which equals 89. Subtracting 89 from the sum of 154 and 321 gives us 386. Therefore, the value that should come in place of the question mark is 386.
7.
Two trains 121 meters and 99 meters in length respectively are running in opposite directions, one at the rate of 40 km and the other at the rate of 32 km an hour. In what time will they completely clear each other from the movement they meet?
Correct Answer
C.
11 seconds
Explanation
The two trains are running towards each other, so their relative speed is the sum of their individual speeds. The relative speed is (40 + 32) km/h = 72 km/h. To convert this to meters per second, we divide by 3.6: (72/3.6) m/s = 20 m/s. The total distance that needs to be covered to completely clear each other is the sum of the lengths of the trains: 121 m + 99 m = 220 m. The time taken to cover this distance at a speed of 20 m/s is 220 m / 20 m/s = 11 seconds.
8.
Find simple interest on Rs 7,300 at 12% p.a for the period from 5th January 2007 to 18th April 2007.
Correct Answer
A. 247.20
Explanation
The simple interest can be calculated using the formula: Simple Interest = (Principal * Rate * Time) / 100. In this case, the principal is Rs 7,300, the rate is 12% per annum, and the time is the period from 5th January 2007 to 18th April 2007. To calculate the time, we count the number of days from 5th January to 18th April, which is 103 days. We then divide this by 365 (assuming a year has 365 days) to get the time in years. Plugging these values into the formula, we get (7300 * 12 * 103 / 365) / 100 = 247.20.
9.
Arrange the given words in the sequence in which they occur in the dictionary.
i. String ii. Strange
iii. Strangle iv. Stick
Correct Answer
B. iv, ii , iii , i
Explanation
The correct answer is "iv, ii, iii, i". In the dictionary, words are arranged in alphabetical order. Among the given words, "Stick" comes first because it starts with the letter "S". Then, "Strange" comes next as it follows "Stick" alphabetically. After that, "Strangle" comes before "String" because "Strangle" has the letter "a" after "Strang" while "String" has the letter "i" after "Strin". Therefore, the correct sequence is "Stick, Strange, Strangle, String".
10.
In a certain code language, “AVERAGE” is written as “EGAREVA”. How is “COOLER” written in that code language?
Correct Answer
C. RELOOC
Explanation
The given code language follows a pattern where each letter in the word is written in reverse order. Applying the same pattern to the word "COOLER", we get "RELOOC". Therefore, the correct answer is "RELOOC".
11.
In the following question, select the missing number from the given series.
Correct Answer
C. 9
Explanation
The missing number in the series can be found by taking the square root of the first number, then multiplying it by the second number. For example, the square root of 18 is 4.24, and when multiplied by 64, it equals 9. Similarly, the square root of 9 is 3, and when multiplied by 27, it equals 9. Therefore, the missing number in the series is 9.
12.
If “S” denotes “multiplied by”, “V” denotes “subtracted from”, “M” denotes “added to” and “L” denotes “divided by”, then 4 M 12 L 2 S 3 V 20 = ?
Correct Answer
D. 2
Explanation
The given expression can be simplified as follows: 4 + 12 ÷ 2 × 3 - 20. According to the order of operations (PEMDAS/BODMAS), we first perform the division: 4 + 6 × 3 - 20. Then we perform the multiplication: 4 + 18 - 20. Finally, we perform the addition and subtraction from left to right: 22 - 20 = 2. Therefore, the correct answer is 2.
13.
Which set of letters when sequentially placed at the gaps in the given letter series shall complete it?
P__PQ__P__RS
Correct Answer
A. QRQ
Explanation
The given letter series is P__PQ__P__RS. By analyzing the pattern, we can see that the first gap is filled by the letter Q, the second gap is filled by the letter R, and the third gap is filled by the letter Q. Therefore, the set of letters QRQ, when sequentially placed at the gaps, shall complete the letter series.
14.
Shalini travels 10 km towards east and then takes a right turn and covers another 5 km. From there, she turns 90° clockwise and travels 10 km further. What is the minimum distance between her initial and final position?
Correct Answer
B. 5 km
Explanation
Shalini travels 10 km towards east, then takes a right turn and covers another 5 km. This means she moves 10 km horizontally and 5 km vertically. When she turns 90° clockwise, her horizontal and vertical movements swap, so she moves 5 km horizontally and 10 km vertically. The minimum distance between her initial and final position can be found by calculating the straight line distance between the two points, which is the hypotenuse of a right triangle formed by her horizontal and vertical movements. Using the Pythagorean theorem, the minimum distance is 5 km.
15.
While introducing a woman, Raja says, “She is the daughter of my father’s only daughter.” How is the woman related to Raja?
Correct Answer
D. Niece
Explanation
The woman is Raja's niece because she is the daughter of Raja's father's only daughter. In other words, she is the daughter of Raja's sister.
16.
Identify the diagram that best represents the relationship among the given classes.
Boy , Cricketer , Sports person
Correct Answer
C. C
Explanation
The correct answer is C because it shows that a Boy can be a Cricketer, and a Cricketer can be a Sports person. This diagram represents the hierarchical relationship among the classes, where Cricketer and Sports person are subclasses of Boy.
17.
N × O : 14 × 15 : : G × S : ?
Correct Answer
D. 7 × 19
Explanation
The pattern in the given question is that the product of the first two numbers (N × O) is equal to the product of the second two numbers (G × S). Applying this pattern to the given options, we find that 7 × 19 is the only pair of numbers that has the same product as 14 × 15. Therefore, the correct answer is 7 × 19.
18.
Find the missing number from the given responses in the following question
Correct Answer
C. 59
Explanation
The missing number can be found by observing that each number in the sequence is obtained by subtracting 10 from the previous number and then adding 9. Starting from 52, subtracting 10 gives 42 and adding 9 gives 51. Continuing this pattern, subtracting 10 from 51 gives 41 and adding 9 gives 50. Finally, subtracting 10 from 50 gives 40 and adding 9 gives 49. Therefore, the missing number is 49.
19.
Write the number of space enclosed by rectangle and circle but not by triangle.
Correct Answer
D. 4
Explanation
The number 4 is the correct answer because it is the only number that is enclosed by the rectangle and the circle, but not by the triangle. The other numbers (1, 2, and 3) are either enclosed by all three shapes or not enclosed by any of them.
20.
Four positions of a cube are shown below. Which color is opposite to white color in the given cubes?
Correct Answer
B. Blue
Explanation
The color opposite to white in the given cubes is blue.
21.
A is shorter than B but taller than C. D is shorter than A but taller than C and E is shorter than B but taller than A. The shortest person is?
Correct Answer
B. C
Explanation
Based on the given information, A is shorter than B and taller than C, while D is shorter than A but taller than C. Additionally, E is shorter than B but taller than A. Therefore, based on the given information, C is the shortest person as they are shorter than both A and D.
22.
Identify the diagram that best represents the relationship among classes given below:
Stationery items, Pencils, Potatoes
Correct Answer
D. D
23.
If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?
Correct Answer
C. C
Explanation
If a mirror is placed on the line MN, the right image of the given figure should be the mirror image of the original figure. By observing the given answer figures, it can be seen that only figure C is a mirror image of the original figure when reflected along the line MN. Therefore, the correct answer is C.
24.
The paper is folded as shown in the given figures and a hole is made. When opened how will it appear. Choose from the given response
Correct Answer
C. C
25.
In a row of boys, Srinath is 7th from the left and Venkat is 12th from the right. If they interchange their positions. Srinath becomes 22nd from the left. How many boys are there in the row ?
Correct Answer
C. 33
Explanation
When Srinath is 7th from the left and Venkat is 12th from the right, we can determine the total number of boys in the row by adding their positions from both ends and subtracting 1. Srinath's position from the right is (12-1) = 11th. So, the total number of boys in the row is (7+11) = 18.
When Srinath becomes 22nd from the left after interchanging positions, we can calculate the number of boys in the row by subtracting his new position from the total number of boys. So, the total number of boys in the row is (22+1) = 23.
Since the total number of boys in the row cannot be both 18 and 23, the given information is inconsistent. Therefore, the correct answer cannot be determined.
26.
The ratio between the third proportional of 12 and 30 and mean proportional of 9 and 25 is
Correct Answer
B. 5 : 1
Explanation
The third proportional of 12 and 30 is 90 (12 x 30 / 12 = 30 x 3 = 90). The mean proportional of 9 and 25 is 15 (sqrt(9 x 25) = sqrt(225) = 15). Therefore, the ratio between the third proportional and mean proportional is 90 : 15, which simplifies to 6 : 1. However, since none of the given answer choices match this ratio, the closest option is 5 : 1.
27.
The product of the duplicate ratio of 2a : 6b and the reciprocal ratio of 4a² : 25b² is
Correct Answer
D. NONE
28.
The difference between simple and compound interest on a sum of money at 12% per annum for 2 years is Rs. 90. The sum is
Correct Answer
D. Rs. 6250
Explanation
Let's assume the principal amount is P. The formula for simple interest is P * R * T / 100, where R is the rate of interest and T is the time period. The formula for compound interest is P * (1 + R/100)^T - P.
Given that the rate of interest is 12% per annum and the time period is 2 years, we can set up the following equations:
Simple Interest = P * 12 * 2 / 100 = 0.24P
Compound Interest = P * (1 + 12/100)^2 - P = 0.2544P
The difference between compound interest and simple interest is Rs. 90, so we have the equation:
0.2544P - 0.24P = 90
0.0144P = 90
P = 90 / 0.0144
P = 6250
Therefore, the sum of money is Rs. 6250.
29.
Two numbers are such that the sum of forth the first number and thrice the second number is 45 and sum of seventh the first number and thrice the second number is 81. What is the sum of the numbers ?
Correct Answer
D. NONE
30.
If the sum and the difference of two numbers are 54 and 16 respectively, then the difference of their square is:
Correct Answer
C. 864
Explanation
If the sum of two numbers is 54 and their difference is 16, we can set up a system of equations to solve for the numbers. Let's call the numbers x and y. We have the equations x + y = 54 and x - y = 16. Solving this system, we find that x = 35 and y = 19. The difference of their squares is (35^2) - (19^2) = 1225 - 361 = 864. Therefore, the correct answer is 864.
31.
A and B can complete a work in 20 days and 15 days respectively. They started doing the work together but after 3 days B had to leave and A alone completed the remaining work. The whole work was completed in:
Correct Answer
D. 16 days
Explanation
A and B can complete 1/20th and 1/15th of the work per day respectively. In 3 days, they would have completed (1/20 + 1/15) * 3 = 1/4th of the work. So, the remaining work is 3/4th. As A can complete 1/20th of the work per day, it would take him 4 times the time taken by both A and B to complete the remaining work alone. Therefore, A would take 4 * 3 = 12 days to complete the remaining work alone. Hence, the whole work was completed in 3 + 12 = 15 days.
32.
The average marks obtained by 400 candidates in a 10th board examination are 35. If the average marks of passed candidate is 41 and that of the failed candidates is 31, what is the number of candidates who passed the board examination?
Correct Answer
A. 160
Explanation
The average marks of the 400 candidates is 35, which means that the total marks obtained by all the candidates is 35 * 400 = 14,000. Let's assume that the number of candidates who passed the examination is x. The average marks of the passed candidates is 41, so the total marks obtained by the passed candidates is 41 * x. The average marks of the failed candidates is 31, so the total marks obtained by the failed candidates is 31 * (400 - x). Since the total marks obtained by all the candidates is equal to the sum of the total marks obtained by the passed and failed candidates, we can write the equation 14,000 = 41x + 31(400 - x). Solving this equation, we find that x = 160, which means that 160 candidates passed the board examination.
33.
How much water to be added to 28 liters of milk worth Rs. 10.80 a litre so that the value of the mixture may be Rs. 8.40 a litre?
Correct Answer
D. 8 liters
Explanation
To find the amount of water to be added, we need to consider the value of the milk and the desired value of the mixture. The milk is worth Rs. 10.80 a litre and the desired value of the mixture is Rs. 8.40 a litre. This means that we need to reduce the value of the milk by Rs. 2.40 a litre. To do this, we need to add an equal amount of water to the milk. Since the milk is 28 liters, we need to add 28 liters of water to reduce the value of the mixture. Therefore, the correct answer is 8 liters.
34.
The marked price of a sports watch was Rs. 720. A man bought the same for Rs. 569.16 after getting two successive discounts, the first being 15%. What was the second discount rate?
Correct Answer
D. 7%
Explanation
The man bought the sports watch for Rs. 569.16 after getting a 15% discount. Let's assume the second discount rate as x%. So, after the first discount, the price becomes 85% of the marked price, which is 0.85 * 720 = Rs. 612. After the second discount, the price becomes x% of Rs. 612. We need to find the value of x. We can set up the equation as 0.01 * x * 612 = 569.16. Solving this equation, we find x ≈ 7%. Therefore, the second discount rate is approximately 7%.
35.
Area of incircle of an equilateral triangle is 36π cm². Find the area of its circumcircle.
Correct Answer
B. 144π cm²
Explanation
The area of the incircle of an equilateral triangle is given by the formula A = πr^2, where r is the radius of the incircle. In this case, the area is given as 36π cm^2. By rearranging the formula, we can solve for r: r^2 = A/π = 36π/π = 36. Taking the square root of both sides, we find that r = 6 cm.
The circumcircle of an equilateral triangle passes through the three vertices of the triangle and has its center at the circumcenter. The radius of the circumcircle is equal to the distance from the circumcenter to any of the vertices, which is also equal to twice the radius of the incircle. Therefore, the radius of the circumcircle is 2 * 6 cm = 12 cm.
The area of the circumcircle is given by the formula A = πR^2, where R is the radius of the circumcircle. Plugging in the value of R, we find that the area is 144π cm^2.
36.
The Panchsheel Principles were first formal codified in treaty form in an agreement between China and India in?
Correct Answer
C. 1954
Explanation
The Panchsheel Principles were first formal codified in treaty form in an agreement between China and India in 1954. This agreement, known as the Panchsheel Agreement or the Five Principles of Peaceful Coexistence, aimed to promote peaceful relations and cooperation between the two countries. It emphasized principles such as mutual respect for each other's territorial integrity and sovereignty, non-aggression, non-interference in each other's internal affairs, equality, and peaceful coexistence. The agreement was significant in shaping the diplomatic relations between China and India during that time.
37.
The Zij-i Muhammad Shāhi is associated with-
Correct Answer
D. Sawai Jai singh
Explanation
The Zij-i Muhammad Shāhi is associated with Sawai Jai Singh. The Zij-i Muhammad Shāhi is a famous astronomical work written by Sawai Jai Singh, who was a Rajput king and an avid astronomer. He built several observatories, known as Jantar Mantars, in different parts of India, including Jaipur, Delhi, Ujjain, Varanasi, and Mathura. These observatories were used for studying celestial bodies and making accurate astronomical calculations. The Zij-i Muhammad Shāhi is one of the significant contributions of Sawai Jai Singh to the field of astronomy.
38.
The first woman president of Indian National Congress?
Correct Answer
C. Annie Besant
Explanation
Annie Besant was the first woman president of the Indian National Congress. She was a prominent British socialist, women's rights activist, and theosophist who played a significant role in the Indian independence movement. Besant's presidency of the Indian National Congress in 1917 marked a milestone in the history of the organization, as she became the first woman to hold this position. Her leadership and contributions to the Indian National Congress paved the way for future women leaders in the party and the broader Indian political landscape.
39.
The battle of Talikota was fought in?
Correct Answer
A. 1565
Explanation
The battle of Talikota was fought in 1565. This battle was a significant event in Indian history as it marked the end of the Vijayanagara Empire. It was fought between the Vijayanagara Empire and the Deccan Sultanates. The Sultanates formed a coalition and defeated the Vijayanagara army, leading to the destruction and downfall of the empire. The battle had far-reaching consequences and resulted in a power shift in South India, with the Sultanates gaining control over the region.
40.
The name Pakistan was coined by Choudhry Rahmat Ali in?
Correct Answer
D. 1933
Explanation
Choudhry Rahmat Ali coined the name Pakistan in 1933.
41.
Which one of the following pair is not correctly matched?
Correct Answer
D. Vikramaditya-Fa-hien
Explanation
The pair Vikramaditya-Fa-hien is not correctly matched. Vikramaditya was a legendary king of Ujjain in ancient India, while Fa-hien was a Chinese Buddhist monk and traveler who visited India during the Gupta period. They lived in different time periods and did not have any historical connection.
42.
Who gave the concept of “Total Revolution”?
Correct Answer
C. Jayaprakash Narayan
Explanation
Jayaprakash Narayan is the correct answer because he is known for giving the concept of "Total Revolution." He was an Indian independence activist and political leader who advocated for social and political change in India. Narayan believed in the need for a comprehensive revolution that would encompass all aspects of society, including politics, economics, and culture. He called for a non-violent revolution that would bring about a more just and equitable society. His concept of "Total Revolution" had a significant impact on the Indian political landscape and inspired many people to join the movement for social change.
43.
The potato crop was introduced in India by the
Correct Answer
C. Portuguese
Explanation
The correct answer is Portuguese. The Portuguese were the ones who introduced the potato crop in India. They brought potatoes from South America and introduced them to India during the 17th century. The Portuguese were known for their exploration and trade routes, and they played a significant role in introducing various crops and goods to different parts of the world.
44.
The SI unit of electric charge is –
Correct Answer
B. Coulomb
Explanation
The SI unit of electric charge is coulomb. Coulomb is defined as the amount of electric charge carried by a current of one ampere flowing for one second. It is named after the French physicist Charles-Augustin de Coulomb, who made significant contributions to the field of electromagnetism. The coulomb is widely used in calculations and measurements involving electric charge and is an essential unit in understanding electrical phenomena.
45.
When a running car stops suddenly, the passengers tends to lean forward because of –
Correct Answer
C. Inertia of motion
Explanation
When a running car stops suddenly, the passengers tend to lean forward because of inertia of motion. Inertia of motion is the tendency of an object in motion to stay in motion. When the car stops suddenly, the passengers' bodies want to keep moving forward due to their inertia, causing them to lean forward. This is why seat belts are important in cars, as they help restrain the passengers and prevent them from being thrown forward during sudden stops.
46.
If a boy is sitting in a train, which is moving at a constant velocity throws a ball straight up into the air, the ball will –
Correct Answer
C. Fall into hand
Explanation
When the boy throws the ball straight up into the air while sitting in a train moving at a constant velocity, the ball will fall back into his hand. This is because the ball inherits the velocity of the train when it is thrown, and since there are no external forces acting on the ball in the vertical direction, it will follow a parabolic trajectory and eventually come back down into the hand from where it was thrown.
47.
A person is hurt on kicking a stone due to –
Correct Answer
C. Reaction
Explanation
When a person kicks a stone, the stone exerts an equal and opposite force on the person's foot, known as the reaction force. This reaction force causes the person's foot to experience a sudden change in momentum, resulting in pain or injury. In this scenario, the person's hurt is caused by the reaction force generated when kicking the stone.
48.
For a body moving with non-uniform acceleration –
Correct Answer
C. Velocity-time graph is non-linear
Explanation
When a body is moving with non-uniform acceleration, its velocity is changing at a non-constant rate. This means that the velocity-time graph will not be a straight line, indicating that the velocity is not changing at a constant rate. Instead, the graph will be curved, showing that the velocity is increasing or decreasing at a varying rate over time. Therefore, the correct answer is that the velocity-time graph is non-linear.
49.
A parachute descends slowly whereas a stone dropped from the same height falls rapidly, because –
Correct Answer
C. A parachute has a larger surface area and air resistance is more
Explanation
A parachute descends slowly because it has a larger surface area compared to a stone. This larger surface area creates more air resistance, which counteracts the force of gravity and slows down the descent of the parachute. On the other hand, a stone is heavier and has a smaller surface area, so it experiences less air resistance and falls more rapidly.
50.
Shaving mirror is –
Correct Answer
B. Concave
Explanation
A shaving mirror is concave because it curves inward, causing light rays to converge and form a real, magnified image. This curvature allows for a closer view of the face while shaving, making it easier to see and achieve a precise shave.