SSC CHSL Quiz : Quantitative Aptitude

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Q.1 – Radha got married 10 years ago. Radha's present age is 5/3 of her age at the time of marriage. If the present age of Radha's mother is twice that of present age of Radha, then what was her mother's age at the time of her marriage?

राधा की शादी 10 वर्ष पूर्व हुई थी | राधी की वर्तमान आयु उसकी शादी के समय की आयु की 5/3 है | यदि राधा की माँ की वर्तमान आयु उसकी वर्तमान आयु की दोगुनी है, तो राधा की शादी के समय उसकी माँ की आयु (वर्षों में) क्या थी?

(a) 50
(b) 40
(c) 30
(d) 60

Q.2 – If P and Q are the two digits of the number 347PQ such that the number is completely divisible by 80, then the value of the P × Q?

यदि P और Q एक संख्या 347PQ के दो ऐसे अंक है कि संख्या पूर्णतः 80 से विभाजित है, तो P × Q का मान है ?

(a) 2
(b) 4
(c) 0
(d) 8

Q.3 – P, Q and R can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after x days P leaves the job and Q left the (x + 2) days before the work was completed. R completed the remaining work alone and thus it took 14 days to complete the work. What is the value of x?

P, Q तथा R एक कार्य को क्रमशः 20, 24 और 30 दिनों में पूरा कर सकते हैं | वे तीनों एकसाथ कार्य करना प्रारम्भ करते हैं लेकिन x दिन बाद P कार्य करना छोड़ देता है और Q कार्य समाप्त होने से (x + 2) दिन पहले कार्य करना छोड़ देता है | R शेष कार्य को अकेले पूरा करता है और इस तरह से कार्य पूरा होने में 14 दिन लगते हैं | x का मान क्या है?

(a) 2
(b) 4
(c) 6
(d) 8

Q.4 – The average of 17 numbers is 60. If the average of first 9 results is 57 and that of the last 9 numbers is 65, then what will be the value of the 9th number?

17 संख्याओं का 60 है | यदि पहली 9 संख्याओं का औसत 57 है और अन्तिम 9 संख्याओं का औसत 65 है, तो 9वीं संख्या का मान क्या है?

(a) 39
(b) 78
(c) 117
(d) 156

Q.5 – For an article the profit is 170% of the cost price. If the cost price increases by 20% but the selling price remains same, then what is the new profit percentage?

एक वस्तु के क्रय मूल्य का 170% लाभ होता है | यदि क्रय मूल्य में 20% की वृद्धि होती है लेकिन विक्रय मूल्य समान रहता है, तो नया लाभ कितना प्रतिशत है?

(a) 41
(b) 50
(c) 75
(d) 125

Q.6 – The time to cover a distance of 'D' km is same as the time to cover a distance of 'D – 18'. If the speed of the boat upstream is 8 km/hr. less than that of the speed of the boat in downstream. If the speed of the boat is 16 km/hr. Find the value of D.

'D' किमी. की दूरी को तय करने में लिया गया समय 'D – 18' किमी. की दूरी को तय करने में लिए गए समय के बराबर है | यदि नाव की ऊर्ध्वप्रवाह चाल नाव की अनुप्रवाह चाल से 8 किमी./घंटा कम है | यदि नाव की चाल 16 किमी./घंटा है | D का मान ज्ञात कीजिये |

(a) 40
(b) 45
(c) 48
(d) 50

Q.7 – A person borrows Rs.18000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person % p.a. for 2 years. Find his gain in the transaction per year.

एक व्यक्ति 18000 रु. 4 % वार्षिक साधारण ब्याज की दर से 2 वर्षों के लिए उधार लेता है | वह तुरंत इसे दूसरे व्यक्ति को 2 वर्ष के लिए

% वार्षिक ब्याज पर दे देता है | उसका इस प्रक्रिया में प्रति वर्ष लाभ ज्ञात कीजिये |

(a) Rs. /रु.405
(b) Rs. /रु.450
(c) Rs. /रु.540
(d) Rs. /रु.603

Q.8 – D and S invest Rs.3000 and Rs.4000 in a business respectively. D receives Rs.20 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year D totally receives Rs.780, what does S receive?

D और S एक व्यापार में क्रमशः 3000 और 4000 रु. निवेश करते हैं | D लाभ में से 20 रु. प्रति माह व्यापार के प्रबंधन के रूप में पारिश्रमिक प्राप्त करता है और शेष लाभ को उनके निवेशों के अनुपात में बाँट दिया जाता है | यदि एक वर्ष में D कुल मिलाकर 780 रु. प्राप्त करता है, S को कितना प्राप्त हुआ ?

(a) Rs. /रु.750
(b) Rs. /रु.720
(c) Rs. /रु.700
(d) Rs. /रु.770
Q.9 – If a =, then what is the value of ? यदि a =

, तो

का मान क्या है ?

(a)

(b)

(c)

(d)

Q.10 – If q = , then what is the value of ?

यदि q =

, तो

का मान क्या है ?

(a)

(b)

(c)

(d)

ANSWERS:-

Q.1 (b)

According to question/प्रश्नानुसार,
x =

       3x = 5x – 50
       x = 25
       Radha's mother's present age = 2 × 25 = 50 years/वर्ष
       Required age/अभीष्ट आयु = 50 – 10 = 40

Q.2 (c)

        If 347PQ is divisible by 80, then it must be divisible by 8 and 10.
        यदि 347PQ को 80 से विभाजित किया गया है, इसे 8 और 10 से विभाजित होना चाहिए |
        Q = 0
        Now/अब, number/संख्या = 347P0 ÷ 8
        For this, P must have the value of 2/इसके लिए, P का मान 2 होना चाहिए |
        P × Q = 2 × 0 = 0

Q.3 (b)

       P ............ 20                                                                 6 units of work/day
       Q …………. 24 [L.C.M. of 24, 30 and 36 = 120]      5 units of work/day
       R ………….. 30                                                          4 units of work/day
       According to the question/प्रश्नानुसार,
       6 x + 5 (12 – x) + 4 × 14 = 120
       6x + 60 – 5x + 56 = 120
       x = 4

Q.4 (b)

Required number/अभीष्ट संख्या = (9 × 57 + 9 × 65) – 17 × 60 = 1098 – 1020 = 78

Q.5 (d)

        Let C.P./माना क्रय मूल्य = Rs.100
        PROFIT /लाभ = Rs.170
        S.P. /वि. मूल्य = Rs.270
        Again, C.P. /पुनः क्रय मूल्य = Rs.120
        S.P./ विक्रय मूल्य = Rs.270
        New profit / नया लाभ = 150
        Profit %/ लाभ % =

= 125

Q.6 (c)

       Let speed of the current be x km/hr./माना धारा की चाल x किमी./घंटा है |
       According to the question/प्रश्नानुसार,
       16 + x – (16 – x) = 8
       2x = 8
        x = 4
        Now/अब,

12d = 20d – 360
8d = 360, d = 45

Q.7 (a)
Total gain in 2 years/2 वर्ष में कुल लाभ =

= Rs. /रु.2250 – Rs. /रु.1440 = Rs. /रु.810
Per year gain/प्रति वर्ष लाभ =

= Rs. /रु.405

Q.8 (b)

        Equivalent ratio between capitals/समतुल्य पूंजियों में अनुपात = 3: 4
        Total profit as remuneration/पारिश्रमिक के रूप में कुल लाभ = 20 × 12 = Rs. /रु.240
        Remaining profit from investment/निवेश से शेष लाभ = Rs. /रु.780 – Rs. /रु.240
                                                                                            = Rs. /रु.540
                        3 = 540
                        4 = 720
        S will receive/ S प्राप्त करेगा = Rs. /रु.720

Q.9 (a)