CAT Practice Question and Answer

Q: Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ? 1684 0

  • 1
    133345
    Correct
    Wrong
  • 2
    147320
    Correct
    Wrong
  • 3
    13320
    Correct
    Wrong
  • 4
    145874
    Correct
    Wrong
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Answer : 2. "147320"
Explanation :

Answer: B) 147320 Explanation: Sum of 4 digit numbers = (2+4+6+8) x P33 x (1111) = 20 x 6 x 1111 = 133320  Sum of 3 digit numbers = (2+4+6+8) x P23 x (111) = 20 x 6 x 111 = 13320  Sum of 2 digit numbers = (2+4+6+8) x P13 x (11) = 20 x 3 x 11 = 660  Sum of 1 digit numbers = (2+4+6+8) x P03 x (1) = 20 x 1 x 1 = 20    Adding All , Sum = 147320

Q: How many three digit numbers 'abc' are formed where two of the three digits are same ? 1586 0

  • 1
    252
    Correct
    Wrong
  • 2
    648
    Correct
    Wrong
  • 3
    243
    Correct
    Wrong
  • 4
    900
    Correct
    Wrong
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Answer : 3. "243"
Explanation :

Answer: C) 243 Explanation: Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10   First all possible case => 9(0 excluded) x 10 x 10 = 900   Second no repetition allowed =>9 x 9 x 8 = 648   Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)   Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

Q: The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ? 1794 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    46
    Correct
    Wrong
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Answer : 1. "28"
Explanation :

Answer: A) 28 Explanation: Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

Q: A kiddy bank of a child contains all Rs. 1, 50 paise and 25 paise coins. What is the total amount in the bank ?(1) Total number of coins are 20(2) The number of 50 paise and 25 paise coins are in the ratio of 7:3. 1447 0

  • 1
    only 1 is needed
    Correct
    Wrong
  • 2
    only 1 is needed
    Correct
    Wrong
  • 3
    Both and 2 are needed
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Both and 2 are needed"
Explanation :

Answer: C) Both and 2 are needed Explanation: Given that 50 paise and 25 paise coins are in the ratio of 7:3, they can be either 7 & 3 or 14 & 6.As total 20 coins also includes Rs. 1 coins, so 50 paise & 25 paise coins are 7 & 3 respectively & Rs. 1 coins are 10.Total amount = (100x10) + (50x7) + (25x3)=1425 paise or Rs.14.25.

Q: O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ? 1161 0

  • 1
    10
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    35/4
    Correct
    Wrong
  • 4
    45/4
    Correct
    Wrong
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Answer : 4. "45/4"
Explanation :

Answer: D) 45/4 Explanation: As clear from the figure itself, triangle OQX and triangle O'PX are similar. So, OQ/O'P = OX/O'X => OX = (7/9)xO'X And since, OX + O'X = 20 => (7/9)xO'X + O'X = 20 => O'X = 45/4

Q: Which 6 banking entities of India became history on 1 April 2017 as they were merged with State Bank of India ? 1237 0

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Answer :
Explanation :

Five associate banks of SBI – State Bank of Bikaner and Jaipur (SBBJ), State Bank of Hyderabad (SBH), State Bank of Mysore (SBM), State Bank of Patiala (SBP) and State Bank of Travancore (SBT), besides Bharatiya Mahila Bank (BMB) became part of the State Bank of India (SBI) on 1 April 2017. This merger catapulted SBI to among the top 50 banks in the world. – With this six-way mega merger, the merged entity (SBI) will have a deposit base of more than Rs. 26 lakh crore and advances level of Rs. 18.50 lakh crore. It will have a total customer base of 37 crore with a branch network of around 24,000 and nearly 59,000 ATMs across the country. – The government had in February 2017 approved the merger of these five associate banks with SBI. Later in March 2017, the Cabinet approved merger of BMB as well. – SBI first merged State Bank of Saurashtra with itself in 2008. Two years later, State Bank of Indore was merged with it.

Q: What is the name of the scheme for providing physical aids and assisted-living devices for senior citizens belonging to BPL category that was launched in Andhra Pradesh’s Nellore district on 1 April 2017? 1475 0

  • 1
    Sarkari Yojana
    Correct
    Wrong
  • 2
    Yantra Laxmi
    Correct
    Wrong
  • 3
    Rashtriya Vayoshri Yojana
    Correct
    Wrong
  • 4
    Vayovrudh Yojana
    Correct
    Wrong
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Answer : 3. "Rashtriya Vayoshri Yojana"
Explanation :

Answer: C) Rashtriya Vayoshri Yojana Explanation: “Rashtriya Vayoshri Yojana” was launched by the Ministry for Social Justice and Empowerment on 1 April 2017 at Nellore (Andhra Pradesh). Under the scheme, physical aids and assisted-living devices for senior citizens were distributed to senior citizens belonging to below poverty line (BPL) category. – The scheme has been implemented through the sole implementing agency – Artificial Limbs Manufacturing Corporation (ALIMCO), a public sector undertaking. The aids to be distributed under the “Rashtriya Vayoshri Yojana” scheme include walking sticks, elbow crutches, walkers, tripods / quadpods, hearing aids, artificial dentures and spectacles. – The ambitious scheme, first of its kind in the country, is expected to benefit 5,20,000 Senior citizens over a period of the 3 years.

Q: P.V. Sindhu defeated which player in the finals to win her maiden India Open Super Series title on 2 April 2017 ? 1747 0

  • 1
    Wang Yihan
    Correct
    Wrong
  • 2
    Greysia Polii
    Correct
    Wrong
  • 3
    Sung Ji-Hyun
    Correct
    Wrong
  • 4
    Carolina Marin
    Correct
    Wrong
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Answer : 4. "Carolina Marin"
Explanation :

Answer: D) Carolina Marin Explanation: India’s P.V. Sindhu avenged her Rio Olympic final defeat to Spain’s Carolina Marin in an emphatic style with a straight game 21-19, 21-16 win in the women’s singles final of India Open Super Series at a packed Siri Fort Sports Complex on 2 April 2017. – It is worth mentioning that Sindhu had lost to Marin the Rio Olympic women’s singles final. But she avenged her Olympic final defeat to Marin in an imperious fashion with a straight game. This was Sindhu’s first India Open Super Series title.

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