CAT Practice Question and Answer
8Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3873 05b5cc731e4d2b4197774f7b5
5b5cc731e4d2b4197774f7b5- 11:3false
- 22:1false
- 33:2true
- 42:3false
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Answer : 3. "3:2"
Explanation :
Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.
Q: The value of money varies 3863 05b5cc6a2e4d2b4197774cbb8
5b5cc6a2e4d2b4197774cbb8- 1inversely with the price leveltrue
- 2directly with the price levelfalse
- 3directly with the volume of employmentfalse
- 4directly with the interest ratefalse
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Answer : 1. "inversely with the price level"
Explanation :
Answer: A) inversely with the price level Explanation:
Q: What is the next number in the given Number Series? 5, 24, 94, 279, ? 3856 05b5cc6b9e4d2b4197774d73e
5b5cc6b9e4d2b4197774d73e- 1587false
- 2554true
- 3489false
- 4499false
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Answer : 2. "554"
Explanation :
Answer: B) 554 Explanation: The given number series follows a pattern that 5 x 5 – 1 = 24 24 x 4 – 2 = 94 94 x 3 – 3 = 279 279 x 2 – 4 = 554
Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3851 05b5cc6f8e4d2b4197774f068
5b5cc6f8e4d2b4197774f068- 114thfalse
- 216thfalse
- 318thtrue
- 420thfalse
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Answer : 3. "18th"
Explanation :
Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.
Q: Find the odd one out of the following options. 3847 05b5cc6d6e4d2b4197774e679
5b5cc6d6e4d2b4197774e679- 1Sapphirefalse
- 2Rubyfalse
- 3Topazfalse
- 4Granitetrue
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Answer : 4. "Granite"
Explanation :
Answer: D) Granite Explanation: Except Granite all other options belong to the group of precious stones.
Q: Re-arrange the following sentences into a meaningful paragraph. ( 3845 05b5cc6cde4d2b4197774e1f9
5b5cc6cde4d2b4197774e1f9- 1comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers (false
- 2The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger (false
- 3with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate (false
- 4to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.true
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Answer : 4. "to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers
(E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts
(F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent
(G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore."
Explanation :
Answer: D) FDBGECA Explanation:
Q: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is : 3834 05b5cc7d0e4d2b41977751218
5b5cc7d0e4d2b41977751218- 18/39false
- 215/39true
- 312/13false
- 4None of thesefalse
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Answer : 2. "15/39"
Explanation :
Answer: B) 15/39 Explanation: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize) = 1-16C1× 14C1×12C1×10C116C4=1539
Q: Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator. Output: 1. 95 + 84=1282. 128 + 64=1953. 912 + 43=9424. 178 + 19=192 Question : Which of the following pair of digits is unchanged ? 3824 05b5cc6d2e4d2b4197774e467
5b5cc6d2e4d2b4197774e467- 19, 0, 3false
- 21, 3, 8false
- 37, 0, 1true
- 42, 4, 1false
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Answer : 3. "7, 0, 1"
Explanation :
Answer: C) 7, 0, 1 Explanation: 0 1 2 3 4 5 6 7 8 9 0 1 4 8 2 6 5 7 3 9 Here pairs interchanged are 2, 4 3, 8 5, 6 Unchanged are 0, 1, 7, 9