CAT Practice Question and Answer
8Q: Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ? 1813 05b5cc754e4d2b4197774fb72
5b5cc754e4d2b4197774fb72- 11.251 %false
- 23.125 %true
- 37.21 %false
- 49.451 %false
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Answer : 2. "3.125 %"
Explanation :
Answer: B) 3.125 % Explanation: Taking the 2 investments to be 3x and 5x respectivelyTotal income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25Therefore, Gain% = 0.25/8 x 100 = 3.125 %.
Q: What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ? 1813 05b5cc6c5e4d2b4197774dd37
5b5cc6c5e4d2b4197774dd37- 1777false
- 2666false
- 3606true
- 4789false
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Answer : 3. "606"
Explanation :
Answer: C) 606 Explanation: 56% of 870 = 56x870/100 = 487.20 82% of 180 = 82x180/100 = 147.60 32% of 90 = 32x90/100 487.20 + 147.6 - 28.8 = ? ? = 634.8 - 28.8 ? = 606.
Q: What is Latus Rectum of Parabola? 1813 05b5cc6a0e4d2b4197774ca42
5b5cc6a0e4d2b4197774ca42- 1line segmenttrue
- 2vertexfalse
- 3focusfalse
- 4major axisfalse
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Answer : 1. "line segment"
Explanation :
Answer: A) line segment Explanation: As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal. The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic. The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.
Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 1813 05b5cc6d7e4d2b4197774e6e2
5b5cc6d7e4d2b4197774e6e2- 142 secfalse
- 244 secfalse
- 346 secfalse
- 448 sectrue
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Answer : 4. "48 sec"
Explanation :
Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.
Q: Where is the National Institute of Jute and Allied Fibre Technology located ? 1813 05b5cc6cee4d2b4197774e288
5b5cc6cee4d2b4197774e288- 1Telanganafalse
- 2Andhra Pradeshfalse
- 3West Bengaltrue
- 4Haryanafalse
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Answer : 3. "West Bengal"
Explanation :
Answer: C) West Bengal Explanation:
Q: A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ? 1812 05b5cc6f4e4d2b4197774efdc
5b5cc6f4e4d2b4197774efdc- 1Sonfalse
- 2Brothertrue
- 3Cousinfalse
- 4Nephewfalse
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Answer : 2. "Brother"
Explanation :
Answer: B) Brother Explanation: Brother Justification: Daughter of uncle's father -- Uncle's sister -- Mother; Mother's son -- Brother.
Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1812 05b5cc72ce4d2b4197774f7ab
5b5cc72ce4d2b4197774f7ab- 1Rs. 4false
- 2Rs. 3true
- 3Rs. 5false
- 4Rs. 1false
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Answer : 2. "Rs. 3"
Explanation :
Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 = Rs.3
Q: Statements : National Aluminium Company has moved India from a position of shortage to self-sufficiency in the metal. Conclusions : a) Previously, India had to import aluminium.b) With this speed, it can soon become a foreign exchange earner. 1812 05b5cc715e4d2b4197774f418
5b5cc715e4d2b4197774f418- 1Only a followsfalse
- 2Only b followsfalse
- 3Neither a nor b followsfalse
- 4Both a and b followstrue
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Answer : 4. "Both a and b follows"
Explanation :
Answer: D) Both a and b follows Explanation: According to the statement, National Aluminium Company has moved India from a position of shortage in the past to self-sufficiency in the present. This means that previously, India had to import aluminium. So, I follows. Also, it can be deduced that if production increases at the same rate, India can export it in future. So, II also follows.

