CAT प्रश्न और उत्तर का अभ्यास करें
8प्र: There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ? 1785 05b5cc720e4d2b4197774f61d
5b5cc720e4d2b4197774f61d- 1100false
- 270false
- 3120false
- 480true
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उत्तर : 4. "80"
व्याख्या :
Answer: D) 80 Explanation: If 'k' is number of students in P and 'l' is number of students in Q, then From the given conditions, we have=> k - 10 = l + 10 .......(1)=> k + 20 = 2(l - 20) ....(2) Solving these eqns, we get k = 100 and l = 80.Therefore, number of students in class Q is 80.
प्र: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? 1785 05b5cc6d7e4d2b4197774e6c6
5b5cc6d7e4d2b4197774e6c6- 1B) = 0.6. Are these two events are disjoint ? A)false
- 2= 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(true
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उत्तर : 2. "= 0.6. Are these two events are disjoint ?
A) TRUE
B) FALSE
Answer & Explanation
Answer: B) FALSE
Explanation: These two events cannot be disjoint because P(K) + P(L) > 1.
P(AꓴB) = P("
व्याख्या :
Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(A) + P(B) - P(AꓵB). An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4 And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.
प्र: 125 over 1000 in Simplest Form? 1784 05b5cc6abe4d2b4197774d034
5b5cc6abe4d2b4197774d034- 12/9false
- 21/8true
- 33/8false
- 44/7false
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उत्तर : 2. "1/8"
व्याख्या :
Answer: B) 1/8 Explanation: 125 over 1000 in Simplest Form means 1251000 in its simple fraction form. Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000. HCF of 125, 1000 = 125 Then, divide both numerator and denominator by 125 i.e, 1251251000125 = 18 Hence, 18 is the simplest form of 125 over 1000.
प्र: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is 1784 05b5cc6d9e4d2b4197774e816
5b5cc6d9e4d2b4197774e816- 130false
- 236false
- 340true
- 442false
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उत्तर : 3. "40"
व्याख्या :
Answer: C) 40 Explanation: Let distance = x km and usual rate = y kmph.Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)On dividing (i) by (ii), we get: x = 40 km.
प्र: The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ? 1784 05b5cc6d6e4d2b4197774e660
5b5cc6d6e4d2b4197774e660- 151.32 %false
- 249.23 %false
- 348.4 %true
- 446.8 %false
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उत्तर : 3. "48.4 %"
व्याख्या :
Answer: C) 48.4 % Explanation: Let marked price = Rs. 100. Then, C.P. = RS. 54, S.P. = Rs. 85Gain % = 31/64 x 100 = 48.4%.
प्र: What is the currency of Mexico ? 1784 05b5cc6cfe4d2b4197774e2d7
5b5cc6cfe4d2b4197774e2d7- 1Kronesfalse
- 2Lirafalse
- 3Pesotrue
- 4Mexican dollarsfalse
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उत्तर : 3. "Peso"
व्याख्या :
Answer: C) Peso Explanation:
प्र: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1783 15b5cc6afe4d2b4197774d259
5b5cc6afe4d2b4197774d259- 13924false
- 21962true
- 31684false
- 41452false
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उत्तर : 2. "1962"
व्याख्या :
Answer: B) 1962 Explanation: Arithmetic Series :: An Arithmetic Series is a series of numbers in which each term increases by a constant amount. How to find the sum of the Arithmetic Sequence or Series for the given Series :: When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence. That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term Here Last term is given by an = a1 + n-1d where d = common difference Now given Arithmetic Series is 2, 5, 8, 11,... Here a1 = 2, d = 3, n = 36 Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 Now, Sum to 36 terms is given by S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962 Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.
प्र: Which Country has listed Yoga as a "sports activities"? 1783 15b5cc6bee4d2b4197774d99c
5b5cc6bee4d2b4197774d99c- 1Saudi Arabiatrue
- 2UAEfalse
- 3Sloveniafalse
- 4Pakistanfalse
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उत्तर : 1. "Saudi Arabia"
व्याख्या :
Answer: A) Saudi Arabia Explanation:

