1What is the formula for calculating Simple Interest (), where is Principal, is Rate per annum, and is Time in years?
A.
B.
C.
D.
Correct Answer:
Explanation:Simple Interest is calculated using the formula .
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2Calculate the simple interest on a principal of 5\%$ per annum for 4 years.
A.$800
B.$1000
C.$1200
D.$1500
Correct Answer: $1000
Explanation:.
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3Which of the following formulas represents the Amount () in Compound Interest compounded annually?
A.
B.
C.
D.
Correct Answer:
Explanation:The formula for the amount in compound interest is , where is the number of conversion periods.
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4For the first year (assuming annual compounding), which of the following statements is true?
A.Simple Interest Compound Interest
B.Simple Interest Compound Interest
C.Simple Interest Compound Interest
D.Cannot be determined
Correct Answer: Simple Interest Compound Interest
Explanation:For the first conversion period (1 year), the principal is the same for both, so Simple Interest equals Compound Interest. CI starts exceeding SI from the second period onwards.
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5Find the compound interest on 10\%$ per annum.
A.$2000
B.$2100
C.$2200
D.$2050
Correct Answer: $2100
Explanation:Amount . .
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6What is the difference between Compound Interest and Simple Interest on a sum of for 2 years at per annum?
A.
B.
C.
D.
Correct Answer:
Explanation:The standard formula for the difference between CI and SI for 2 years is .
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7If interest is compounded half-yearly, the rate of interest is ‚……… and time is ‚……… compared to annual calculation.
A.doubled, halved
B.halved, doubled
C.same, doubled
D.halved, same
Correct Answer: halved, doubled
Explanation:When compounded half-yearly, the annual rate becomes and time (years) becomes periods.
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8A sum of money doubles itself in 10 years at simple interest. What is the rate of interest?
A.
B.
C.
D.
Correct Answer:
Explanation:Let , then Amount , so . Using .
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9The difference between CI and SI on a certain sum for 2 years at per annum is $25. Find the sum.
A.$5,000
B.$8,000
C.$10,000
D.$15,000
Correct Answer: $10,000
Explanation:Using : .
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10The population of a city increases at the rate of per annum. If the present population is 1,60,000, what will be the population after 2 years?
A.1,76,000
B.1,76,400
C.1,78,000
D.1,80,000
Correct Answer: 1,76,400
Explanation:Use the growth formula . .
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11A machine is purchased for 10\%$ per annum. What will be its value after 2 years?
A.$40,000
B.$40,500
C.$41,000
D.$45,000
Correct Answer: $40,500
Explanation:Depreciation formula: . .
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12At what rate of compound interest per annum will a sum of 1348.32 in 2 years?
A.
B.
C.
D.
Correct Answer:
Explanation:. Taking square root, .
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13If the compound interest on a certain sum for 2 years at p.a. is $102, what is the simple interest for the same period and rate?
A.$90
B.$95
C.$100
D.$101
Correct Answer: $100
Explanation:Let sum be . . Given . .
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14Which mathematical concept is primarily used to calculate the future value of a loan that accumulates interest on previous interest?
A.Simple Interest
B.Arithmetic Progression
C.Compound Interest
D.Linear Regression
Correct Answer: Compound Interest
Explanation:Compound interest is the concept where interest is calculated on the principal plus the accumulated interest from previous periods.
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15A bacteria culture grows by in the first hour, decreases by in the second hour, and grows by in the third hour. If the initial count is 1000, what is the count at the end of 3 hours?
A.1000
B.1089
C.1100
D.1080
Correct Answer: 1089
Explanation:.
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16Point A is $5$ km North of Point B. Point C is $5$ km East of Point B. What is the shortest distance between A and C?
A.$5$ km
B.$7.07$ km
C.$10$ km
D.$25$ km
Correct Answer: $7.07$ km
Explanation:This forms a right-angled triangle. Hypotenuse km.
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17A person walks 4 km towards West, then turns to his Right and walks 3 km. How far is he from the starting point?
A.4 km
B.5 km
C.7 km
D.25 km
Correct Answer: 5 km
Explanation:He forms a right-angled triangle with legs 3 and 4. Distance = km.
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18A man is facing North-West. He turns in the clockwise direction, then in the anti-clockwise direction. Which direction is he facing now?
A.South-West
B.South-East
C.North-East
D.West
Correct Answer: South-West
Explanation:Start: NW. Turn CW NE. Turn ACW Opposite of NE is SW.
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19If South-East becomes North, North-East becomes West and so on, what will West become?
A.North-East
B.North-West
C.South-East
D.South-West
Correct Answer: South-East
Explanation:The rotation is clockwise. If you rotate West clockwise, you land on North-East? No, let's trace: SE to N is Anti-Clockwise. So move West Anti-Clockwise South-East.
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20One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
A.East
B.West
C.North
D.South
Correct Answer: South
Explanation:Morning sun is in East. Shadows fall West. If shadow (West) is to his Right, he must be facing South.
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21A man points to a woman in a photo and says, "Her father's only son is my father." How is the man related to the woman in the photo?
A.Brother
B.Son
C.Father
D.Nephew
Correct Answer: Nephew
Explanation:Woman's father's only son is the Woman's brother. So, the Woman's brother is the Man's father. Therefore, the woman is the Man's paternal aunt, and the Man is her Nephew.
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22A is the brother of B. B is the sister of C. C is the father of D. How is D related to A?
A.Brother
B.Sister
C.Nephew or Niece
D.Uncle
Correct Answer: Nephew or Niece
Explanation:A, B, and C are siblings. C is male (Father). D is C's child. Therefore, A is D's Uncle. D is A's Nephew or Niece (gender of D not specified).
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23Pointing to a man, a woman said, "He is the only son of my mother's mother." How is the woman related to the man?
A.Aunt
B.Daughter
C.Sister
D.Niece
Correct Answer: Niece
Explanation:Mother's mother is Grandmother. Grandmother's only son is Maternal Uncle. The man is the woman's Maternal Uncle. Thus, the woman is the man's Niece.
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24If A + B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
A.Q - N + M x P
B.P + S x N - Q
C.P - M + N x Q
D.Q - S % P
Correct Answer: P - M + N x Q
Explanation:For P to be Uncle, P must be male (Brother of someone). In Option C: P is brother of M. M is mother of N. N is sister of Q. So M is mother of Q. P is brother of M (Mother). Thus P is Maternal Uncle.
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25A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is the girl's:
A.Brother
B.Uncle
C.Son
D.Son-in-law
Correct Answer: Brother
Explanation:Girl's Uncle's father = Girl's Grandfather. Grandfather's daughter = Girl's Mother (or Aunt). Son of Mother = Brother (or Cousin). Usually 'Brother' is the closest fit in such riddles if 'daughter' implies 'only daughter', otherwise 'Cousin'. Given options, Brother is the likely intended answer assuming single lineage.
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26A car was bought for 20\%10\%$ in the second year. What is the value after 2 years?
A.$200,000
B.$210,000
C.$216,000
D.$220,000
Correct Answer: $216,000
Explanation:Year 1: . Year 2: .
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27In how many years will a sum of 882 at compound interest per annum?
A.1 year
B.2 years
C.3 years
D.4 years
Correct Answer: 2 years
Explanation:. Since , .
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28The difference between the simple interest received from two different sources on 13.50. The difference between their rates of interest is:
A.
B.
C.
D.
Correct Answer:
Explanation:Difference in SI = . .
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29If the Simple Interest on a sum for 3 years at is $150, what would be the Compound Interest on the same sum for the same period and rate?
A.$155.25
B.$157.625
C.$160
D.$152.50
Correct Answer: $157.625
Explanation:. .
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30A village population decreases by annually due to migration. If the current population is 10,000, what was the population 2 years ago?
A.15,000
B.14,500
C.15,625
D.12,500
Correct Answer: 15,625
Explanation:Let population 2 years ago be . Then . .
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31X is East of Y and West of Z. Z is North-West of P. In which direction is Y with respect to Z?
A.North
B.South
C.East
D.West
Correct Answer: West
Explanation:If X is West of Z, and Y is further West (since X is East of Y), then Y is West of Z.
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32Rahul travels 10 km towards North, turns left and travels 4 km, and then again turns right and covers another 5 km. He then turns right and travels another 4 km. How far is he from the starting point?
A.5 km
B.10 km
C.15 km
D.19 km
Correct Answer: 15 km
Explanation:Movement: 10N 4W 5N 4E. The horizontal movements (4W and 4E) cancel out. Vertical movement: km North.
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33Introducing a man, a woman said, "His wife is the only daughter of my father." How is that man related to the woman?
A.Brother
B.Husband
C.Father-in-law
D.Maternal Uncle
Correct Answer: Husband
Explanation:"Only daughter of my father" means the woman herself. So, "His wife is me." Therefore, the man is her Husband.
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34What is the effective annual rate of interest corresponding to a nominal rate of per annum payable half-yearly?
A.
B.
C.
D.
Correct Answer:
Explanation:Effective Rate .
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35Which of the following is TRUE about depreciation?
A.The value of the asset increases over time.
B.The rate is added to 1 in the formula .
C.It is calculated like compound interest but with a negative rate.
D.It applies to land value in most economic contexts.
Correct Answer: It is calculated like compound interest but with a negative rate.
Explanation:Depreciation reduces value, so the growth rate is negative. The formula is .
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36A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
A.P and A are cousins
B.P is the maternal uncle of A
C.Q is the maternal grandfather of A
D.C and P are sisters
Correct Answer: P is the maternal uncle of A
Explanation:Z is mother of C, Q, and P. Since C and Q are sisters and P is son, P is the brother of C. A is son of C. Therefore, P is the Maternal Uncle of A.
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37P is the father of T. T is the daughter of M. M is the daughter of K. What is P to K?
A.Father
B.Son-in-law
C.Brother
D.Son
Correct Answer: Son-in-law
Explanation:P is father of T, M is mother of T (since T is daughter of M and P is father). So P and M are husband and wife. M is daughter of K. Therefore, P is the Son-in-law of K.
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38A watch reads 4:30. If the minute hand points East, in what direction will the hour hand point?
A.North
B.North-West
C.South-East
D.North-East
Correct Answer: North-East
Explanation:At 4:30, minute hand is at 6 (South normally). Hour hand is between 4 and 5 (South-East normally). If Minute hand (South) points East (rotation Anti-Clockwise), then Hour hand (SE) rotates Anti-Clockwise to point North-East.
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39Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?
A.North
B.South
C.South-East
D.South-West
Correct Answer: South-West
Explanation:Z is South of X. P is South of Z. So P is far South of X. Y is East of X. Therefore P is South-West of Y.
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40The compound interest on 7\%4,347. The period (in years) is:
A.1
B.2
C.3
D.4
Correct Answer: 2
Explanation:Amount = . . Since , .
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41Find the principal if the simple interest is 5\%$ and time is 2 years.
A.$2000
B.$3000
C.$3500
D.$6000
Correct Answer: $3000
Explanation:.
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42A sum of money amounts to 10,035 after 6 years on compound interest. Find the sum.
A.$4400
B.$4445
C.$4460
D.$4520
Correct Answer: $4460
Explanation:Let sum be . and . Dividing the two: . Substituting back: .
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43Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking?
A.His son
B.His cousin
C.His uncle
D.His nephew
Correct Answer: His son
Explanation:"My father's son" with no siblings is Harsh himself. So, "His mother is the wife of Harsh". The man in the picture's mother is Harsh's wife. Therefore, the man in the picture is Harsh's son.
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44Deepak starts walking straight towards East. After walking 75 meters, he turns to the left and walks 25 meters. Again he turns to the left and walks a distance of 40 meters straight. Again he turns to the left and walks a distance of 25 meters. How far is he from the starting point?
A.25 meters
B.35 meters
C.50 meters
D.115 meters
Correct Answer: 35 meters
Explanation:Path: 75E, 25N, 40W, 25S. Net vertical: . Net horizontal: . Distance is 35m.
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45If a certain sum of money becomes 8 times of itself in 3 years at compound interest, find the rate of interest.
A.
B.
C.
D.
Correct Answer:
Explanation:. Cube root both sides: .
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46Compound interest on a certain sum for 1 year at per annum compounded half-yearly is $14.49. The simple interest for the same at annual rate would be:
A.$14
B.$12
C.$14.25
D.$13.50
Correct Answer: $14
Explanation:Rate/half-year = 7%. . . .
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47A man leaves for his office from his house. He walks towards East. After moving a distance of 20 m, he turns South and walks 10 m. Then he walks 35 m towards the West and further 5 m towards the North. He then turns towards East and walks 15 m. What is the straight distance between his initial and final position?
A.0 m
B.5 m
C.10 m
D.Cannot be determined
Correct Answer: 5 m
Explanation:East: . West: $35$. Net Horizontal = 0. South: $10$. North: $5$. Net Vertical = $5$ South. Distance = 5 m.
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48If A is the brother of F, F is the daughter of D, and P is the brother of D, how is P related to A?
A.Father
B.Uncle
C.Grandfather
D.Brother
Correct Answer: Uncle
Explanation:A is brother of F. F is daughter of D. So A is son of D. P is brother of D. Therefore, P is Uncle of A.
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49The cost of a vehicle is 20\%$ per annum, then the total depreciation after 3 years was:
A.$86,400
B.$85,400
C.$89,600
D.$84,000
Correct Answer: $85,400
Explanation:Final Value . Depreciation = Original - Final = .
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50What is the difference between simple and compound interest on 10\%$ per annum?
A.$30
B.$31
C.$32
D.$33
Correct Answer: $31
Explanation:Formula for 3 years diff: . .
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