CAT Practice Question and Answer
8Q: A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ? 1235 05b5cc720e4d2b4197774f5ea
5b5cc720e4d2b4197774f5ea- 145, 10false
- 210, 50false
- 39, 50true
- 450, 15false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "9, 50"
Explanation :
Answer: C) 9, 50 Explanation: Let the age of A = A, B = B and C = C From given A = 3B 4 years ago, C-4 = 2(A-4); After 4 years A + 4 = 31; A = 27;sub in above B, we get B = 9 C = 2(27 - 4) + 4 = 46 + 4 = 50 Hence B = 9yrs and C = 50yrs.
Q: Statement: If the retired professors of the same institutes are also invited to deliberate on restructuring of the organization, their contribution may be beneficial to the institute. Course of action:a) Management may seek option of the employees before calling retired professors.b) Management should involve experienced people for the systematic restructuring of the organization. 1322 05b5cc720e4d2b4197774f5e5
5b5cc720e4d2b4197774f5e5- 1Only a followsfalse
- 2Neither a nor b followsfalse
- 3Both a & b followsfalse
- 4Only b followstrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Only b follows"
Explanation :
Answer: D) Only b follows Explanation: Valuable suggestion from the retired professors will be helpful for restructuring of an organisation. Hence, management should involve such experienced people. Seeking permission from the employees is not the right course of action.
Q: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 1705 05b5cc720e4d2b4197774f5e0
5b5cc720e4d2b4197774f5e0- 1Rs. 13 and Rs. 17true
- 2Rs. 17 and Rs. 19false
- 3Rs. 23 and Rs. 17false
- 4Rs. 13 and Rs. 19false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 13 and Rs. 17"
Explanation :
Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13
Q: Consider the following statements P : Suman is brilliantQ : Suman is richR : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as 1) P∧~R↔Q 2) ~P∧R↔Q 3) Q↔P∧~R 4) ~Q↔P∧~R 1111 05b5cc71ee4d2b4197774f5d6
5b5cc71ee4d2b4197774f5d6- 11false
- 22false
- 33false
- 44true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).
Q: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 946 05b5cc71ee4d2b4197774f5c7
5b5cc71ee4d2b4197774f5c7- 1[1, 32]false
- 2(0, 1)false
- 3[1, 1/2]true
- 4(1, 1/2]false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "[1, 1/2]"
Explanation :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].
Q: The largest flag of India measuring _______ feet was inaugurated on March 5, 2017 on the tallest flag post at the Indo-Pak Attari Border in Amritsar. 1127 05b5cc71ee4d2b4197774f5c2
5b5cc71ee4d2b4197774f5c2- 1360 fttrue
- 2280 ftfalse
- 3300 ftfalse
- 4310 ftfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "360 ft"
Explanation :
Answer: A) 360 ft Explanation: A 360-foot-high (110 metres) flag post, said to be the country's tallest, was inaugurated at the Indo-Pak Attari Border, just a stone's throw from Pakistan. Punjab Minister Anil Joshi inaugurated the country's largest tricolour on the tallest flag post - measuring 110 metres in length, 24 metres in width and 55 tons in weight. Built at an approximate cost of Rs 3.50 crore, the post was a project of the Amritsar Improvement Trust Authority of the Punjab Government.
Q: A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ? 1466 05b5cc71ee4d2b4197774f5b8
5b5cc71ee4d2b4197774f5b8- 119 monthsfalse
- 221 monthstrue
- 318 monthsfalse
- 420 monthsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "21 months"
Explanation :
Answer: B) 21 months Explanation: Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040 = 120 + 80 + 160 + 40 + 200 + 240 + ....n terms= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms= n/2[2a + (n-1)d] + 80 + 40 = 11040= n/2[240 + (n-1)40] = 10920= n[6+n-1] = 546= n[n+5] = 546n = 21
Q: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1296 05b5cc71ee4d2b4197774f5ae
5b5cc71ee4d2b4197774f5ae- 111/3false
- 22/13false
- 33/11true
- 413/4false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "3/11"
Explanation :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11