Q. In a certain code language, 'FISH' is written as 'GJTI'. How is 'BIRD' written in that code? (2020)
A.
CJSF
B.
CJSF
C.
CJSF
D.
CJSF
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Solution
Each letter is shifted by +1. B -> C, I -> J, R -> S, D -> E. So, BIRD = CJSF.
Correct Answer: A — CJSF
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Q. In a certain code language, 'FISH' is written as 'GJTK'. How is 'BIRD' written in that code? (2022)
A.
CJSF
B.
CJSK
C.
CITK
D.
CITJ
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Solution
Each letter is shifted by +1. B->C, I->J, R->S, D->F. So, BIRD = CJSF.
Correct Answer: A — CJSF
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Q. In a certain code language, if 'CAT' is coded as '3120', how is 'DOG' coded?
A.
4157
B.
4156
C.
4167
D.
4168
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Solution
In the code, each letter corresponds to its position in the alphabet: C=3, A=1, T=20. Similarly, D=4, O=15, G=7 gives 4157.
Correct Answer: A — 4157
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Q. In a certain code language, if 'CAT' is coded as '3120', what is the code for 'DOG'? (2022)
A.
4157
B.
4156
C.
4167
D.
4165
Show solution
Solution
In the code, C=3, A=1, T=20. Similarly, D=4, O=15, G=7, so DOG=4157.
Correct Answer: A — 4157
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Q. In a certain code, '1234' is coded as 'ABCD'. What is the code for '5678'?
A.
EFGH
B.
EFGI
C.
EFGJ
D.
EFGK
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Solution
Following the same pattern, '5' = 'E', '6' = 'F', '7' = 'G', '8' = 'H'.
Correct Answer: A — EFGH
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Q. In a certain code, 'BRAIN' is coded as 'CSDJO'. How is 'HEART' coded? (2020)
A.
IFBSU
B.
IFBRT
C.
IFBQS
D.
IFBQT
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Solution
Each letter is shifted by +1. H->I, E->F, A->B, R->S, T->U. So, HEART = IFBSU.
Correct Answer: A — IFBSU
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Q. In a certain code, 'CLOUD' is coded as 'DMVPE'. How is 'RAIN' coded? (2022)
A.
SBOJ
B.
SBOI
C.
SBOH
D.
SBOK
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Solution
Each letter is shifted by +1. R->S, A->B, I->J, N->O. So, RAIN = SBOJ.
Correct Answer: A — SBOJ
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Q. In a certain code, 'COLD' is written as 'DPEM'. How is 'WARM' written in that code?
A.
XBSN
B.
XBSM
C.
XBTM
D.
XBTN
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Solution
Each letter is shifted by +1. 'W' -> 'X', 'A' -> 'B', 'R' -> 'S', 'M' -> 'N'.
Correct Answer: A — XBSN
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Q. In a certain code, 'COW' is written as '3-15-23'. How is 'BEE' written? (2022)
A.
2-5-5
B.
2-5-4
C.
2-5-6
D.
2-5-3
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Solution
B=2, E=5, E=5; thus BEE = 2-5-5
Correct Answer: A — 2-5-5
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Q. In a certain code, 'DOG' is written as '5147'. How is 'CAT' written in that code? (2020)
A.
3120
B.
3121
C.
2130
D.
2131
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Solution
C=3, A=1, T=20; thus CAT = 3120
Correct Answer: A — 3120
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Q. In a certain code, 'FISH' is coded as 'GJTI'. How is 'BIRD' coded in that language?
A.
CJSF
B.
CJSI
C.
CJTJ
D.
CJSK
Show solution
Solution
Each letter is shifted by +1. 'B' -> 'C', 'I' -> 'J', 'R' -> 'S', 'D' -> 'E'.
Correct Answer: A — CJSF
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Q. In a certain code, 'FISH' is written as 'GJTK'. How is 'BIRD' written in that code? (2020)
A.
CJSF
B.
CJSK
C.
CJTJ
D.
CJTQ
Show solution
Solution
Each letter is shifted by +1: B->C, I->J, R->S, D->F.
Correct Answer: A — CJSF
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Q. In a certain code, 'FROG' is coded as 'GSPH'. How is 'BIRD' coded? (2020)
A.
CJSF
B.
CJSF
C.
CJSF
D.
CJSF
Show solution
Solution
Each letter is shifted by +1. B -> C, I -> J, R -> S, D -> E. So, BIRD = CJSF.
Correct Answer: A — CJSF
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Q. In a certain code, 'HELLO' is written as 'KHOOR'. How is 'WORLD' coded? (2023)
A.
ZRUOG
B.
ZRUOF
C.
ZRUOG
D.
ZRUOG
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Solution
Each letter is shifted by +3. W -> Z, O -> R, R -> U, L -> O, D -> G. So, WORLD = ZRUOG.
Correct Answer: A — ZRUOG
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Q. In a certain code, 'MANGO' is written as 'NBOHP'. How is 'APPLE' written in that code? (2020)
A.
BQQMF
B.
BQQME
C.
BQQMD
D.
BQQMC
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Solution
Each letter is shifted by +1. A->B, P->Q, P->Q, L->M, E->F. So, APPLE = BQQMF.
Correct Answer: A — BQQMF
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Q. In a certain code, 'RIVER' is coded as 'SJVFS'. How is 'LAKE' coded? (2023)
A.
MBLF
B.
MBLE
C.
MBLF
D.
MBLE
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Solution
Each letter is shifted by +1. L -> M, A -> B, K -> L, E -> F. So, LAKE = MBLF.
Correct Answer: A — MBLF
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Q. In a certain code, 'SCHOOL' is coded as 'TIDPMM'. How is 'COLLEGE' coded? (2022)
A.
DPMLHF
B.
DPMKHF
C.
DPMKGE
D.
DPMKFE
Show solution
Solution
Each letter is shifted by +1. C->D, O->P, L->M, L->M, E->F, G->H. So, COLLEGE = DPMLHF.
Correct Answer: A — DPMLHF
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Q. In a certain code, 'SCHOOL' is coded as 'TIDPMM'. What is the code for 'COLLEGE'? (2020)
A.
DPMLHMF
B.
DPMLHMG
C.
DPMLHME
D.
DPMLHMD
Show solution
Solution
Each letter is shifted by +1. C -> D, O -> P, L -> M, L -> M, E -> F, G -> H. So, COLLEGE = DPMLHMF.
Correct Answer: A — DPMLHMF
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Q. In a certain company, the ratio of the number of engineers to the number of managers is 5:2. If there are 70 engineers, how many managers are there?
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Solution
Let the number of managers be x. According to the ratio, 5/2 = 70/x. Cross-multiplying gives 5x = 140, so x = 28.
Correct Answer: A — 28
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Q. In a certain context, if the expression 5^(x+1) = 125 is true, what is the value of x?
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Solution
Since 125 can be expressed as 5^3, we have 5^(x+1) = 5^3, thus x + 1 = 3, leading to x = 2.
Correct Answer: B — 2
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Q. In a certain division problem, if the dividend is 123 and the divisor is 10, what is the remainder?
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Solution
The remainder when 123 is divided by 10 is 3, as 123 = 10*12 + 3.
Correct Answer: A — 3
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Q. In a certain division problem, if the dividend is 37 and the divisor is 5, what is the remainder? (2023)
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Solution
When 37 is divided by 5, it goes 7 times (7*5=35) with a remainder of 2 (37-35=2).
Correct Answer: B — 3
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Q. In a certain game, the probability of winning is 0.3. If a player plays the game 5 times, what is the probability of winning at least once?
A.
0.163
B.
0.836
C.
0.5
D.
0.7
Show solution
Solution
The probability of losing all 5 games is (1 - 0.3)^5 = 0.168. Therefore, the probability of winning at least once is 1 - 0.168 = 0.832, which rounds to 0.836.
Correct Answer: B — 0.836
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Q. In a certain mathematical model, if 'x' is directly proportional to 'y', which of the following equations represents this relationship?
A.
x = ky
B.
y = kx
C.
x + y = k
D.
xy = k
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Solution
The relationship of direct proportionality is represented by the equation x = ky, where k is a constant.
Correct Answer: A — x = ky
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Q. In a certain mixture, the ratio of milk to water is 5:3. If there are 32 liters of the mixture, how many liters of milk are there?
A.
20 liters
B.
12 liters
C.
16 liters
D.
24 liters
Show solution
Solution
Total parts = 5 + 3 = 8. Volume of milk = (5/8) * 32 = 20 liters.
Correct Answer: A — 20 liters
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Q. In a certain mixture, the ratio of milk to water is 5:3. If there are 64 liters of the mixture, how much milk is there?
A.
40 liters
B.
32 liters
C.
20 liters
D.
24 liters
Show solution
Solution
Total parts = 5 + 3 = 8. Volume of milk = (5/8) * 64 = 40 liters.
Correct Answer: A — 40 liters
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Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added to the mixture, what will be the new ratio of sugar to water?
A.
1:3
B.
1:4
C.
1:5
D.
1:6
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Solution
Let the initial amount of sugar be x liters and water be 4x liters. After adding 2 liters of sugar, the new ratio becomes (x + 2) : 4x.
Correct Answer: C — 1:5
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Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added, what will be the new ratio if the total volume of the mixture is 20 liters?
A.
1:3
B.
1:4
C.
1:5
D.
1:6
Show solution
Solution
Initially, there is 1 part sugar and 4 parts water, totaling 5 parts. In 20 liters, there are 4 liters of sugar and 16 liters of water. After adding 2 liters of sugar, the new ratio is 6:16, which simplifies to 1:5.
Correct Answer: C — 1:5
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Q. In a certain mixture, the ratio of sugar to water is 1:4. If 2 liters of sugar is added, what will be the new ratio if the total volume of the mixture is 10 liters?
A.
1:3
B.
1:2
C.
1:4
D.
1:5
Show solution
Solution
Initial sugar = 1 part, water = 4 parts. Total = 5 parts. New sugar = 2 liters, water = 8 liters. Ratio = 2:8 = 1:4.
Correct Answer: B — 1:2
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Q. In a certain modular arithmetic system, if 7 is congruent to 3 modulo 4, which of the following statements is true?
A.
7 - 3 is divisible by 4
B.
7 + 3 is divisible by 4
C.
7 * 3 is divisible by 4
D.
7 / 3 is divisible by 4
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Solution
In modular arithmetic, if a ≡ b (mod m), then (a - b) is divisible by m. Here, 7 - 3 = 4, which is divisible by 4.
Correct Answer: A — 7 - 3 is divisible by 4
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