CAT प्रश्न और उत्तर का अभ्यास करें
8प्र: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 1533 05b5cc731e4d2b4197774f7fb
5b5cc731e4d2b4197774f7fb- 16false
- 28false
- 34true
- 49false
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उत्तर : 3. "4"
व्याख्या :
Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
प्र: Which digits will come in the place of '?' in the following series ? 372, 823, 644, 582, 46?, 8?7 1643 05b5cc731e4d2b4197774f800
5b5cc731e4d2b4197774f800- 14, 4false
- 26, 2true
- 33, 2false
- 42, 5false
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उत्तर : 2. "6, 2"
व्याख्या :
Answer: B) 6, 2 Explanation: Given series is 372, 823, 644, 582, 46?, 8?7 Here the series follow the rule that :372 = 3+7+2 = 12823 = 8+2+3 = 13644 = 6+4+4 = 14582 = 5+8+2 = 1546? = 4+6+? = 16 => ? = 68?7 = 8+?+7 = 17 => ? = 2 So the missing numbers are 6 and 2
प्र: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 4385 05b5cc731e4d2b4197774f7f6
5b5cc731e4d2b4197774f7f6- 1suppressing, conflicttrue
- 2expressing, hostilityfalse
- 3stifling, temperancefalse
- 4rousing, wrathfalse
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उत्तर : 1. "suppressing, conflict"
व्याख्या :
Answer: A) suppressing, conflict Explanation:
प्र: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3538 05b5cc731e4d2b4197774f7ec
5b5cc731e4d2b4197774f7ec- 166 sectrue
- 255 secfalse
- 336 secfalse
- 424 secfalse
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उत्तर : 1. "66 sec"
व्याख्या :
Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.
प्र: 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ? 1447 05b5cc731e4d2b4197774f7e7
5b5cc731e4d2b4197774f7e7- 1360 mlfalse
- 2320 mltrue
- 3310 mlfalse
- 4330 mlfalse
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उत्तर : 2. "320 ml"
व्याख्या :
Answer: B) 320 ml Explanation: Here total parts of milk and water in the solution is 6+2 = 8 parts. 1part = 640/8 = 80 old mixture contains 6parts of milk and 2 parts of water(6:2). To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same. i.e, 4 x 80 = 320 ml.
प्र: A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ? 2055 05b5cc731e4d2b4197774f7e2
5b5cc731e4d2b4197774f7e2- 110.5 kgsfalse
- 212 kgsfalse
- 39.6 kgsfalse
- 411.5 kgstrue
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उत्तर : 4. "11.5 kgs"
व्याख्या :
Answer: D) 11.5 kgs Explanation: Screws weight = 90x100 = 9000gmsbolts weight = 100 x 150 = 15000gmsweight = screws + bolts => 24000 gms =>24 kgGiven entire box weight = 35.5kgempty box = entire box weight - weight => 35.5kg - 24kg => 11.5kgso the empty box is 11.5kg.
प्र: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 2864 05b5cc731e4d2b4197774f7dd
5b5cc731e4d2b4197774f7dd- 13/91true
- 22/73false
- 31/91false
- 43/73false
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उत्तर : 1. "3/91"
व्याख्या :
Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91
प्र: A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ? 6375 05b5cc731e4d2b4197774f7d8
5b5cc731e4d2b4197774f7d8- 11009true
- 2991false
- 32000false
- 41000false
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उत्तर : 1. "1009"
व्याख्या :
Answer: A) 1009 Explanation: Given total number of rats = 999919 999919 = 1000000 - 81 = 10002 - 92 = (1000+9)(1000-9) = 1009 x 991.Since there were more rats than there were cats, 991 cats killed 1009 rats each.